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Ideas And Activities

About Today's Date. About Today's Date, based on Richard Phillips' book *Numbers: Facts, Figures , and Fiction*, provides on a daily basis the history and trivia about the numbers in today's date. Thise site is suitable for grades 5-12.

Academic Assistance Center Home Page. The Teachers and staff of AOL's Academic Assistance Center provide link access to their favorite or best information sites for grades K-12. To visit the math room, click here.

ACCESS INDIANA Teaching & Learning Center Teacher. The ACCESS INDIANA Teaching & Learning Center Teacher provides a teacher and a student guide to mathematics to mathematics for grades K-12.

AIMS Education Foundation. The Activities Integrating Mathematics and Science Education Foundation (AIMS) provides online activities and teacher resources for integrating math and science in the K-8 curriculum. Major links include an activity archive, ideas exchange, math history, puzzles, and places to visit.

Algebra Review in Ten Lessons. Algebra Review in Ten Lessons, created by D. P. Story of the University of Akron, is a an online tutorial suitable for high school students taking a second course in algebra. Other D. P. Story's tutorials are WebTrig and e-Calculus for AP students. To view these tutorials, you must download Adobe's free Acrobat Reader.

Algebra Times. Josh Rappaport's Algebra Times, a free electronic newsletter for algebra teachers, offers monthly a lesson plan, math calculation tricks, math riddles, a problem of the month, and questions from readers and their replies. To subscribe to newsletter, click here.

All About Barcodes. Story House Corp. provides a brief history of barcodes, how they work, and related sites for grades 7-12.

Amazing Abacus. The Amazing Abacus Web site teaches students in grades 4-8 the basics of using an abacus.

Allmath.com's Flash Cards. Allmath.com, sponsored by Arbor Media of Ann Arbor, Michigan, provides online interactive flash cards to help elementary school students memorize the basic facts in addition, subtraction, multiplication, and division.

Amazing Mathematical Object Factory (AMOF). Frank Ruskey's AMOF provides information on a variety of discrete topics in math for grades 7-12. Topics include Fibonacci sequences, permutations, magic squares, and pentominoes. Each topic also offers a generator that you can customize to produce examples for that topic.

Amby's Order of Operations Tutorial. Amby Duncan-Carr provides online programmed instruction tutorial with step-by-step assistance in mastering the basic order of operations. The site, suitable for students in grades 6-12, includes practice exercises and self-tests.

Annenberg/CPB Projects Exhibits Collection. The Annenberg Center features a collection of interactive learning projects for grades 6-12. The math projects include Cast Your Vote! which focuses on political polls and their actual meanings providing basic statistical discussions of sampling, probability, and reporting error. The other project, Math in Daily Life answers practical math questions that affect our daily decisions such as "How much will you have saved when you retire?" and "Is it better to lease or buy a car?".

Andrew Crompton's Home Page. Andrew Crompton provides ten pages of the auuthor's geometry creations for grades 7-12. The site offers tessellations (some animated), tiling patterns, and other geometry curiousities. Another creative geometry site is Quincy Kim's.

AP Calculus Online. Andy Paulson's AP Calculus Online provides illustrated material (lessons) to help AP calculus students to prepare for the PSAT and SAT exams.

AP Statistics. The Buckingham Browne & Nichols School (Cambridge, Mass.) provides online a course description, course materials, projects, resource references, and Internet links for an AP Statistics course.

Archimedes. Chris Rorres' Archimedes is a collection of miscellaneous information on his life, his writings, and his mathematics for high school classes.

Are You Ready for Calculus? What You Should Know! The University of New Brunswick's Department of Mathematics and Statistics provides a collection of algebra, geometry, and trigonmetry exercises accompanied answers useful for high school students preparing for SAT exams.

ArithmAttack. The Argonne National Laboratory's ArithmAttack provides as many as computer-generated arithmetic problems you can answer in 60 seconds. This interactive tool provides online drill in addition, multiplication, division, and subtraction for elementary school students.

Ask Adam Online Math Tutors. Ask Adam Online Math Tutors, founded by Adam Moore, provides a free and comprehensive service to K-12 math students around the world. Adam and his volunteer tutors are ready to answer your questions. Enter through the student door to ask a question, search the archives, or view the question of the week.

AWSM Online. AWSM Online from the Addison Wesley/Scott Foresman Education Network provides a wide variety of chapter-by-chapter projects for foundations, algebra, geometry, and advanced algebra course at the high school level. Even though these projects are specially designed for the Addison Wesley/Scott Foresman math textbooks, they can be used with other high school math courses.

Aunt Annie's Crafts: Boxes and Bags. Aunt Annie's Crafts provides a variety of art projects for making your own boxes and bags in different shapes, sizes, and designs. To view these hand-on projects useful for geometry instruction in grades 7-12, click here.

Babbage Pages Anthony Hyman's Babbage Pages provide an introduction to Babbage`s life and work, and current research on Babbage. Babbage is most commonly known as the "father of the computer". The site suitable for grades 8-12.

Ball Drop. Ball Drop is an online animation demonstrating the normal distribution curve. The site is suitable for grades 7-12.

Bamdad's Math Comics Page. Bamdad's Math Comics Page, frequently updated with new comics, features a collection of over 200 cartoons scanned from newspapers and magazines for grades 5-12. These cartoons usually involve humorous math-related situations.

Basic Math Practice. Leland R. Beaumont's Basic Math Practice provides online drill exercises in addition, subtraction, or multiplication for elementary school students.

BasketMath Interactive. Science Academy Software's BasketMath Interactive provides a wide variety of animated math tests helping students in grades 4-10 to practice online their math skills. Tests include whole number computations, rounding numbers, finding the common factor, word problems, decimal computations, exponents, and many others. Answering the question correctly results in a basketball shot animation, while incorrect responses yield the correct answer. To find out your score on a test, scroll to the bottom of the window and click on **Results**.

BBC Education: GCSE Math Bitesize. BBC provides a variety of interactive math tutorials along with tests for students in grades 6-12.

BEAM: Downloads. BE A Mathematician (BEAM) from their publications provides a variety of classroom worksheets and accompanying activities with instructions for using them grades 1-5. To view and print these downloads, you must have Adobe's free Acrobat Reader.

BEATCALC. Beat the Calculator (BEATCALC), maintained by B. Lee Clay, provides online a math trick every Monday morning that will impress students in grades 5-12. The trick (a calculation shortcut) enables students to do math computations mentally faster than a calculator. Each trick has a clear explanation and an example. Teachers can subscribe to this weekly service via email. The site includes easy-to-follow subscription instructions.

BEATCALC Archive. Beat the Calculator (BEATCALC) Archive from B. Lee Clay's mailing list contains a wide variety of over 150 calculation shortcuts for students in grades 5-12. Each shortcut includes a clear explanation and a sample problem. The site also provides calculation practice problems to accompany these shortcuts.

Berrie's Statistics Page. Berrie's Statistics Page provides a variety of QuickTime movies to illustrate statistical concepts for students grades 9-12. Some of the topics covered are an interactive graph of the central limit theorem, mean and variance in the normal distribution, a graph of the normal distribution, and mean and variance in the normal dstribution.

Bill Simpson's Magic Squares. Bill Simpson teaches you about magic squares from making them to understanding them. Other similar magic square sites are Kwon Young Shin's and Mutsumi Suzuki's .

Biographies of Women Mathematicians. Biographies of Women Mathematicians is part of an on-going project by students in mathematics classes at Agnes Scott College in Atlanta, Georgia. The project illustrates the numerous achievements of women in the field of mathematics. Elisabeth Freeman & Susanne Hupfer's Past Notable Women of Computing & Mathematics also recognizes the contributions of women in the fields of mathematics and computing. These sites, suitable for grades 6-12, include links to related math history resources.

Binary Home Page. Andrew's Binary Home Page explains the binary numeration system and its connection to the modern day computer. John Rieman's description is also useful in understanding binary arithmetic. These sites are suitable for grades 7-12.

Binary, Primes, and Factors. Ulrich Sondermann's Binary, Primes, and Factors is an introduction to number theory for grades 7-12. Another similar number theory site is Ben's Number page. Do you know what is special about this number?.

Blit Math Master. Blit Math Master, created by Ohio Distinctive Software provides an online interactive math skills game for students in grades 2-9. The game offers seven levels of play from simple addition all the way to linear equations. You choose the level that you want to play, and you're awarded a star for each right answer you give.

Blue Dog Can Count. Blue Dog Can Count is fun way for preschool and elementary school children to practice basic their computational and counting skills. Blue Dog is a friendly, math-savvy canine waiting for you and your friends on the World Wide Web. Fill in any basic math equation, and Blue will bark the result through your computer's speaker. Blue will give a "howling" yelp when the answer is a zero or a negative number.

BOBCAT. The Best Of the Best Computer-Aided Teaching (BOBCAT) contains a well-organized collection of educational sites and tutorials grouped by grade level and subject area for grades K-12.

Bureau of Engraving and Printing: the Currency. The Bureau of Engraving and Printing (BEP) provides information and images of U.S. paper money for grades 6-12. To learn about the new U.S. coins, click on The Mint's Circulating Coins site.

Calculating Machines. Erez Kaplan's Calculating Machines is a collection of Web pages about mechanical calculating machines suitable for grades 7-12. The pages contain pictures and provide historical reviews of machines dating back to 1623. The site also includes a comprehensive list of related computer resources.

Calculus and Differential Equations Mathematica Project. Gary S. Stoudt of the Mathematics Department at Indiana University of Pennsylvania provides a variety of interactive calculus and differential equation exercises from *Mathematica's* notebooks for AP high school students.

Calculus Carnival. Calculus Carnival uses high-technology to visually show AP high school students basic calculus concepts. For a complete list of QuickTime movies, click here.

Calculus@UTK: Math 141. The University of Tennessee at Knoxville provides online a calculus primer for AP students and teachers. For additional calculus material, click here.

Calculus Modules Online. PWS' Calculus Modules Online contain of a variety of math topics with exercises to help high school students learn calculus. Each topic includes basic exercises in the "Learn" section, stretch your understanding exercises, and applications in the "Case Studies" section. For a list of topics, click here.

Calculus.Org: The Calculus Page. The UC Davis Department of Mathematics provides online study materials that can help AP calculus students prepare for the SAT exam. The site includes a list of problems and solutuions for differential calculus and sample exams covering limits, derivatives, differentials, and graphing. Another similar site with practice quizzes is Carleton University's.

California Math Show. The California Math Show, a travelling, portable, interactive math exhibit based on the idea of symmetry, provides online geometry activities for grades 2-8. To find these activities, scroll to "The California Math Show on the World Wide Web".

Cardboard Cognition. Cardboard Cognition provides a collection of over 200 board and card games covering a wide range of subject areas designed by teachers for use in grades K-12. Scroll to "Mathematics" in the Content and Age Group Chart to find math games. Teachers can modify or replicate these learning games for use in their own classrooms.

Carol Hurst's Math and Children's Literature. Carol Hurst's Math and Children's Literature offers a variety of ways of integrating children's literature with math. The author provides math activities from articles she wrote for the *Teaching K-8 Magazine* as well as from sample chapters and books. In addition, the author lists books by grade level and theme recommended for integrating math in literature. The site is suitable for grades K-8.

21st Century Problem Solving. Howard McAllister's 21st Century Problem Solving features the author's instructional approach to problem solving that applies across the curriculum and at all grade levels. The site provides numerous examples of problems solved using the author's problem solving methods, a discussion of the principles of reliable problem solving, and an evolving encyclopedia of solved problems in pre-college algebra, physics, and chemistry. For a list of all the solved problems, click on the Journal.

Chaos Hypertextbook. Glenn Elert's Chaos Hypertextbook is an online illustrated primer on fractals and choas for AP high school classes. Another online hypertexbook by the author is Ptolemy's Table of Chords.

Chinese International School's IB Higher Level Mathematics Syllabus. The Chinese International School in Hong Kong provides online a higher level mathematics syllabus for high school classes. Included in the syllabus are over 100 links to such topics as algebra, trigonometry, probability, statistics, calculus, matrices, vectors, and groups. The site also offers an additional 200 math links as well as links to calculator resources including Texas Instruments, Casio, and others.

CIMT: Index to Games Pages. The University of Exeter's Centre for Innovation in Mathematics Teaching (CIMT) explains the rules for a collection of two-player games that can be used in the middle and high school math classroom. Included are taking-out games requiring only a pile of markers (counters) such as buttons or coins and paper-and-pencil games referred to as putting-in games. The site also provides the rationale and ways of using these games in the classroom.

CIMT: Resources. The University of Exeter's Centre for Innovation in Mathematics Teaching (CIMT) provides activity worksheets on a wide variety of topics to broaden the middle and high school math curriculum. To find this material, scroll to "Worksheets currently available are". CIMT also includes another page of math resources with many more classroom activities accompanied by teacher's notes. To view and print any of these worksheets, you must donload Adobe's free Acrobat Reader.

Clark Kimberling. Clark Kimberling's home page contains a collection of illustrated articles on triangle geometry as well as other historical and number theory topics grades 9-12. The geometry topic includes a list of 20th-century and classical triangle centers.

Classic Fallacies. The University of Toronto Mathematics Network's Classic Fallacies provides a collection of false proofs: arguments that seem convincing, but end up proving ridiculous things like 1=2! Try to follow the step-by-step "proofs" and spot their flaws. The computer will tell you if you're right or not, and will give you more information about why that step is or isn't legitimate. For other similar sites, go to the Math Forum's the Ask Dr. Math False Proofs, Classic Fallacies or the Math Archive's When does 1 = 2?.

Classroom Compass. Classroom Compass, published three times a year by Southwest Educational Development Laboratory, provides a collection of activities for integrating mathematics and science instruction in grades 3-8.

Classroom Connect: G.R.A.D.E.S. Classroom Connect's G.R.A.D.E.S. features hundreds of annotated educational sites for grades K-12. Math teachers can find sites for a variety of topics including curriculum and instruction.

Clever Games for Clever People. Clever Games for Clever People, adapted from John Conway's book *On Numbers and Games* features a collection of 16 logic and strategy games for grades 7-12. All the games include playing rules, simple materials required, and illustrated instructions for making them.

Clock (Modular) Arithmetic Pages. Susan Addington provides interactive modular arithmetic materials the author has prepared for grades 2-8. Students can learn about arithmetic on a circle instead of a number line and can play a number pattern game, number bracelets, based on clock arithmetic. Another online activity by the author is where students tell time with their feet by measuring their shadows.

CNBC Student Stock Tournament. CNBC gives student investment clubs or student teams from grades 4-12 across the U.S. and Canada an opportunity to go head-to-head in a test of stock-picking skills while learning the ways of Wall Street and improving their financial literacy. Your portfolio begins with $10,000 in play money, and you may trade in any common or preferred stocks valued at $5.00 or more that is listed on the New York, American or NASDAQ exchange. You are not charged for any commissions on purchases or sales, and you can own up to 20 different stocks.

Colorful Mathematics. Colorful Mathematics contains software games for exploring graph theory in grades 6-12. To download the free IBM compatible games, click here. The site provides also a teacher's corner with background information and instuctional ideas for each activity.

College Math Prep for High School Students. College Math Prep for High School Students provides study problems, a sample quiz, and other resources for those whose math needs a bit of a brush-up.

Comparative Technology Workbook Approach. Gary A. Harris of Texas Tech University provides a series of graphing and algebra exercises using the TI-85 calculator and the Maple software for high school classes. This material can supplement traditional teaching in algebra classrooms.

Computer Art by Hans Kuiper. Hans Kuiper provides a collection of computer art made by his Mirror Artist program for grades 7-12. The site includes tessellation pictures and other computer math-related art created by Hans Kuiper.

Connected Geometry. The Education Development Center's Connected Geometry is a NSF-sponsored project providing interactive, hands-on geometry activities for high school students. To find these activities, click a chapter in the "Book Descriptions" section. The site also includes Sketchpad sketches available for download, as well as interactive Java animations that students can manipulate to make the concepts more understandable.

Connected Mathematics Project (CMP). Michigan State University's Connected Mathematics Project (CMP) provides instructional materials for teaching middle school mathematics. Topics covered are number, geometry and measurement, probability, statistics, and algebra. To find the units, click here.

CNNfn's Investment Challenge. CNN sponsors an investment challenge called Play The Market that combines simulated stock trading with financial mini games. Upon registration (you can join at any time), your account is credited with $100,000. For a quick primer, start with the Final Bell tutorial. It covers how to play the game, as well as how to identify and research stocks online. The grand prize is a start-of-the-art laptop computer, but smaller prizes are awarded daily to the player with the largest percentage gain at the close of each market day. The site is suitable for high school students.

CNET Downloads. The Computer Network (CNET) provides a collection of math freeware and shareware downloads for the MAC as well as for the PC. K-12 teachers will also find other math software in the education section for "Kids".

CRC Concise Encyclopedia of Mathematics. The CRC Concise Encyclopedia of Mathematics is an extensive searchable online encyclopedia of math equations, formulas, facts, figures, terms, derivations, and recreations compiled by Eric W. Weisstein. The site is suitable for grades 8-12.

CSUN's ELM Resources. CSUN's Entry Level Mathematics (ELM) Resources provide practice tests with accompanying study material for basic algebra, intermediate algebra, and measurement geometry. College-bound students in grades 8-12 can use this site from California State University at Northridge to see if their math skills are up to par with the requirements of introductory college math.

CTW's Sesame Street. The Children's Television Workshop (CTW) provides a variety of online preschool math activities related to their popular *Seame Street* television program. The site includes a collection of printable number coloring and shape coloring pages of their favorite *Sesame Street* characters as well as fun connect the dots, fit the shapes, and hidden numbers interactive activities.

Cubic Science. Cubic Science provides online a step-by-step animated proof of the Pythagorean theorem and an interactive inequalites tutorial with rules and exercises for high school math students. To view these activities, you must download Macromedia's free Shockwave plug-in.

Curious and Useful Math. Clay Ford's Curious and Useful Math Web site features a variety of tricks and rules for quickly figuring math computations. Included are mutiplication and division tricks, age math, scroll down slowly, squaring tricks, and square roots by hand. The site is suitable for grades 5-12.

Currency Comparison Page. The Currency Comparison Page provides an interactive project for grades 5-12 from WimmeraNet in Australia. The site asks students to compare what their currencies will buy with five Australian dollars. Students can also view other entries at the comparison list.

Cyber Jacques. Cyber Jacques offers a variety of online games including a tangram game, and a connect the dots activity, and a sliding tile puzzle for kids in grades preK-2.

Darts Plus. Darts Plus, created by Knowledge Adventue for grades 2-6, is an online version of a real darts game. Students use a small number of darts to match the score shown in the target box.

Data Powers of Ten. Roy W. Clickery's Data Powers of Ten provides concrete examples illustrating various data media according to how much data they can hold, from 0.1 byte to a billion billion bytes. The collection includes estimates for bytes, kilobyte, megabyte, gigabyte, terabyte, and others. This site, suitable for high school classes, makes hard disk storage capacity and RAM values meaningful.

Data and Story Library. Carnegie Mellon University's Data and Story Library (DASL), pronounced "dazzle", is an online library of datafiles and stories that illustrate the use of basic statistics methods. The site includes 29 topics ranging from archeology to zoologogy for grades 8-12.

Dave's Math Tables. Dave's Math Tables, available in English and Spanish version for grades 5-12, provides a vast array of math topics from a basic multiplication table to something as mind-boggling as a "fourier series". The site includes topics ranging from general math to calculus as well as an English-Spanish Math Dictionary.

Dear Parents. Dear Parents, courtesy of Edmark Corporation for grades preK-6, offers advice on a wide variety of school-related subjects. The Math section includes topics ranging from homework to content. The site also provides Donna Stanger's answers to your selected questions.

Deep Zome. Deep Zome explores the the Fibonacci sequence as well the Golden Section and the Golden Rectangle geometric topics for high school math classes.

Dictionary of Units. The Centre for Innovation in Mathematics Teaching at the University of Exeter provides a comprehensive dictionary of units with easy conversions from almost any unit of measure to any other unit of measure found in use around the world today. A unit may be found either by looking under the category such as length, mass, or density, or by choosing a unit from an alphabetical list of units. The site is suitable for grades 7-12.

Dynamical Systems and Technology Project. Boston University's Dynamical Systems and Technology Project, developed by Robert L. Devaney, contains Interactive Papers with activities introducing secondary school teachers to contemporary topics such as fractals and choas. The site also offers a fractal quiz.

e-Calculus Home Page. The University of Akron provides a variety of online tutorials including algebra review, trigonmetry lessons, assorted calculus topics for AP math students. To view the material, you must download Adobe's free Acrobat Reader.

Educational Java Programs. Jacobo Bulaevsky's Java site provides two interactive applets for enhancing geometric concepts in grades 7-12. The Pattern Blocks and the Fractals Programs both includes a descriptions and user's instructions.

Edutest. Edutest offers a free online service providing a large collection of math tests and assessments with instant feedback for the elementary and middle school grades. Click here to take a test.

Education 4 Kids. Infobahn Xpress provides interactive math games for students in grades 2-8. Students can practice online their skills in computation, telling time, and making change/spending money. The games are Math Tables, Math Square, Time Experince, and Money. (The link to their popular "Flashcards for Kids" site is listed below).

Educ-Station: Teacher Tested Sites and Ideas. Disney's Educ-Station provides a collection of sites and ideas featuring math activities for grades 4-8.

EduStock. EduStock features a market simulation game and a tutorial on how to pick good stocks. It also profiles a select group of well-known companies like Coca Cola, McDonalds, Nike and others to help you start your research effort. The site is suitable for students in grades 7-12.

Ed Tech Tools. Ed Tech Tools provides a service for creating interactive quizzes on the Web. No knowledge of HTML is necessary. For more information about this free online service, click here and to apply for a QuizCenter account, click here. The site also includes a list of sample quizzes created by their QuizMaker 2.0 for various topics.

Egyptian Sites. Terri Santi provides a variety of math sites that can help middle school students learn about the ancient Egyptian numeration system. Vern Beaumont's Egyptian page also offers an introduction to Egyptian mathematics. To learn more about other ancient number systems, click on Suzanne Alejandre's page.

E-Lab. E-Lab provides a variety of online interactive activities, visualizations, and student worksheets from Harcourt Brace's CD-ROM for grades 3-8. To print any student worksheet, you must download Adobe's free Acrobat Reader.

ENC Frameworks: Mathematics Toolkit. The Eisenhowser National Clearinghouse (ENC) provides online a K-12 model curriculum framework with sample activities as well as problem solving activitiesfor grades K-12.

Ethnomathematics on the Web. Ohio State's Ethnomathematics on the Web features an extensive collection of sites related to multicultural mathematics education for grades 7-12.

Euclid, Fibonacci, and Sketchpad. Euclid, Fibonacci, and Sketchpad is an article from the *Mathematics Teacher Online* recounting two students' solution using the *Geometer's Sketchpad* software to an age-old geometry problem of dividing any line segment into a regular partition of any number of parts. To view an animation of their proof, click here and for related sites about geometry problem, click on Jim Wilson's Commentary, William I. Johnston's The GLaD Construction and Its Precursors, or Domingo Gomez Morin's Scalene and Isosceles Partitions (SIP). These sites are suitable for AP math students.

Euclid's Elements. Euclid's Elements is David Joyce's complete online English version of the13 Books of*Euclid's Elements* based on Heath's translation. All of the figures are illustrated using the Geometry Applet which allows you to manipulate the figures by dragging points. If your browser is not Java-capable, then the illustrations in the elements will appear as plain images. The site, suitable for high school geometry classes, includes a table of contents.

Exact Change, Please. The Tennessee Department of Financial Institutions provides an exact change finance game for grades 3-8 that requires students to click on the correct combination of bills and coins to match the given amount. The easy game keeps a running total, while the hard game requires the player to keep track of the amount entered.

Experiments. Neal Carothers' Experiments Page contains historical topics in math on infinite sets, the Cantor Set, the Babylonian method for computing square roots, "A Common Book of Pi". The site is suitable for advanced high school students.

Exercises in Math Readiness for University Study (EMR). The University of Saskatchewan's provides a collection of online tutorial exercises (EMR) for algebra I and II, geometry, trigonmetry, and other topics for students in grades 8-12. This resource can serve as as a storehouse of extra exercises for math teachers, as enrichment for gifted middle school students, as a review for 11 or 12 grade math students who are about to take the SAT.

FamilyEducation Network. The FamilyEducation Network, sponsored by Scott Foresman/Addison Wesley, provides a wide variety of curricular resources of interest to K-12 teachers and students. To find mathematics activities and online quizzes, click on an age group, and for an overview of the site, click here.

Family Math Home Page. *Family Math*, published by the Lawrence Hall of Science at the University of California, Berkeley for grades K-6, provides a variety of sample hands-on activities from Issue 1, Issue 2 , and Issue 3.

Famous Curves Index. The MacTutor History of Mathematics archive provides Java applets for you to experiment with a whole collection of over 70 famous curves such as the Spiral of Archimedes, Witch of Agnesi and the Quadratix of Hippias. The site is suitable for high school classes.

Fantastic Fractals. Fantastic Fractals is an online guide where you can learn all about the different types of fractals. The site, suitable for grades 6-12, includes tutorials, a fractal gallery, and a reference section.

Fantastic Math Tips. Marmalade Man provides a variety of computational tricks and tips for grades 5-12. Other similar sites are Mrs. Mitchell's math games, Kenneth Fletcher's math tricks for all ages, Emil Vázquez's math tricks of the trade, Peter Schulz's number tricks, and Card Trick Central's mathematical card tricks.

Fast Arithmetic Tips. Alexander Bogomolny provides a collection of fast arithmetic tips for grades 7-12. Topics includes mutiplication and division shortcuts, squaring numbers, divisibility tricks, and math magic to amaze your friends.

Fast Marching Methods and Level Set Methods. J.A. Sethian's Fast Level Set Methods introduces AP math students to numerical geometry techniques used for analyzing and computing interface motion in a host of settings. The site contains graphics, animations, and Java applets which show level set approaches for following the evolution of various interfaces from soap bubbles to a beating heart, and includes an explanation of 'Why we still can't predict what happens when milk is poured into a cup of swirling tea'.

Favorite Mathematical Constants. The Favorite Mathematical Constants, maintained by MathSoft's Steven Finch, is a searchable collection of famous numbers that includes history, computation algorithms, and late-breaking news from the world of mathematics. To find a list of Steven's favorite numbers, scroll to "Well-known constants" or click on his Table of Constants where the number values (constants) are arranged in ascending order and each value has a brief description and a link.

FHS Precalculus Study Page. The FHS Precalculus Study Page is an online study guide with 15 pre-calculus topics done chapter by chapter for high school students. Topics covered are exponents and logarithms, linear and quadratic equations, inequalities, functions, polynomial functions, and analytic geometry. The site contains examples and sample tests with answers as well as interactive quizzes.

Fibonacci Numbers and the Golden Section. Fibonacci Numbers and the Golden Section, created by Dr. Ron Knott of Surrey University in Guildford, UK, contains information about the Fibonacci series: 0, 1, 1, 2, 3, 5, 8, 13,... and also its related mathematical objects: the golden section +/- 0.61803 39887... or +/- 1.61803 39887... and the golden string 1 0 1 1 0 1 0 1 1 0 1 1 0 ... for grades 9-12. It is recommended that your start your explorations at Fibonacci Numbers and Nature to learn about Fibonacci numbers and how they relate to rabbits, bees, shell spirals, branching plants, and more.

Find Mathematics Sites on the Internet. The Math Forum Internet Resource Collection Searcher provides a powerful way of finding math information on the Internet. It offers a well-developed collection of Web resources for K-12 teachers. Math sites are searchable by keyword, type of resource, topic, grade level, and other options.

Finite Mathematics Applied Calculus Resource Page. Hostra University's comprehensive Web resource for Finite Mathematics & Applied Calculus includes tutorials, complete texts online, quizzes, exercises, and free software. The site is suitable for AP math classes.

Flashcards. A+ Math provides a collection of interactive flashcards to help students in grades 2-7 improve their math skills. Topics include +, -, x, and ÷ basic facts, area, geometric shapes, rounding, inequalities, simple algebraic equations, +, -, x, and ÷ negative numbers, and money denominations. The site also offers +, -, x, and ÷ advanced problem flashcards.

Flashcards for Kids. Infobahn Xpress provides a collection of interactive math flashcards for students in grades K-8 to practice their basic math computations. A simple graphical interface allows students to choose from addition, subtraction, division, multiplication and other skills and then perform online calculations. Students can choose the skill as well as adjust the difficulty and range of numbers used. The site even keeps score and also informs students when they're answers are incorrect.

Formula QuickGuide. Formula QuickGuide provides a list of formulas with examples on the mathematics section of the GED tests. The site is a useful reference, whether you're preparing for a math exam, helping a family member, or just looking for a quick brush up.

Fractal Explorer. Fabio Cesari's Fractal Explorer provides an introduction to fractals for grades 8-12, including fractal images, how Mandelbrot and Julia sets are generated, and related sites. Another fractal site with over 120 pictures is Big Al's.

Fract-ED. Douglas Martin's Fract-ED is an introductory fractal tutorial aimed at the honors math high school student. The site includes a pocket calculator activity performing an iteration experiment.

Fractionator. Fractionator, created by Pierian Spring Software for grades 4-8, is an interactive fraction game where students slide online a numerator bar and a denominator bar to make a given fraction. This enables students to see a picture of the fraction they make.

Fractory. Fractory is an interactive tool for creating and exploring fractals in grades 7-12. The site includes links to to related resouces. Chaos & Fractals is another good place where you can learn about fractals.

Frequently Asked Questions About Trigonometry. J. David Eisenberg provides an interactive tutorial for learning about trigonometry in grades 7-12. Students can discover how the sides and angles of a triangle are related to each other. As long as the students know the basics of triangles and measuring angles (that a right angle = 90o and terminology such as base, height, and hypotenuse), they'll be able to understand and enjoy this interesting instructional presentation.

Frequently Asked Questions in Mathematics. Frequently Asked Questions in Mathematics is an extensive reference source to answer many of your math questions. Alex Lopez-Ortiz has compiled of a collection of questions and their answers about mathematics from the Sci.Math FAQ Newsgroup. Topics range from trivia and the trivial to advanced subjects such as Wiles recent proof of Fermat's Last Theorem. The site is suitable for grades 9-12.

FunBrain: Where Kids Get Power. FunBrain provides a wide variety of interactive math games for students in grades 3-7 to practice their math skills. The Math Baseball game has students answer math problems to score runs; the Power Football has students also answer math problems to score points; Change Maker, a cash register game, has students try to get as much money in their piggy banks as possible; the Fresh Baked Fractions game has students find the fraction not equal to the other fractions; the Line Jumper game has students jump on the right number; and in the last game, Shape Surveyor, students train to be an archeologist. Each learning game offers different levels of difficulty.

Fundamentals of Mathematics. Fundamentals of Mathematics, Dr. Ephraim Fithian's online course for elementary school teachers, covers a variety of math topics including problem solving, logic, and number systems. The site also includes chapter tests.

Furman University Mathematical Quotation Server. Furman University provides a collection of hundreds of quotes by famous mathematicians. The site, suitable for grades 8-12, contains an index, a keyword search tool, as well as a random quotation generator.

Games. A+ Math provides a variety of online bingo, hidden picture, and concentration games for elementary school students to practice online their basic math skills.

Gareth Pitchford's Primary Resources. Gareth Pitchford's site is showcase for the author's visually appealing cartoons. The site contains a math resources section with useful ideas, games, and worksheets for grades K-5. You'll also find more math activities and teaching tips categorized by age level in his Advice to Parents section.

GeoHome. GeoHome, in English as well as Spanish, provides a wide variety of self-correcting questions and exercises for students studying or reviewing geometry.

Geomaths MathHelp Notebooks. The Universty College London in the UK provides students with two online mathematics self-study notebooks. Topics covered are equations and functions, common areas and volumes, coordinates and graphs, linear & simultaneous equations, and quadratic equations. The material includes specific explanations, illustrations, examples, practice quizzes, and a math glossary. This "refesher" material is intended for geology students, but it is also useful for high students in regular and AP math classes.

Geometry. Geometry, available in English and Spanish versions, features a collection of self-correcting questions on a variety of geometry topics for high school students. Another similar informal guide is an Introduction to Geometry.

Geometry and Spatial Sense: Tesselations. Geometry and Spatial Sense provides online animations for constructing a variety of tesselations. (A tesselation is the repetition of a pattern that covers an entire area with the repeated design fitting together with itself.) To view an animation, scroll to "Additional Tesselations" and click on one. The site is suitable for grades 5-12.

Geometry and the Imagination in Minneapolis. Geometry and the Imagination in Minneapolis is a collection of over 30 handouts for high school math students. Topics include knots diagrams and maps, geometry on the sphere, Descartes'formula, topology, and Gaussian curvature.

Geometry Center. The Geometry Center, a mathematics research and education center at the University of Minnesota, features a gallery of geometry explorations in Interactive Web Applications, and a variety of geometry projects, for high school math students in the Educational Materials section.

Geometry for Elementary Education Majors. Geometry for Elementary Education Majors contains a collection of geometry sites with useful classroom activities for grades 6-12.

Geometry Formulas and Facts. Silvio Levy's Geometry Formulas and Facts are excerpts from the 30th edition of the *CRC Standard Math Tables and Formulas*. The site, suitable for high school classes, covers the area of geometry in two and three dimensions.

Geometry Forum: Constructioning Geometry On The Internet-Sum 95. The Geometry Forum provides a variety of interactive projects and classroom activities compiled by 1995 Swarthmore College's Summer Institute teacher-participants for grades K-12. To view all the site's contents by topic or by grade level, click here.

Geometry Independent Projects. Ruth Carver's high school students from Germantown Academy present online their independent projects. Topics include multicultural math games, fractals, history of ancient number systems, gambling odds, origami, the Phi page, and the making of violins and violas (math and music).

Geometry in Motion. Geometry in Motion, created by Daniel Scher, provides a variety of animated, interactive curve-drawing devices for enriching the teaching of high school geometry.

Geometry Junkyard. David Eppstein's Geometry Junkyard contains a wide variety of attractively illustrated geometry topics for grades 9-12. Topics include circles and spheres, coloring, covering and packing, dissection, geometric models, knot theory as well as the author's contributions. To view the all the topics, click here.

Geometry of the Sphere. John C. Polking's Geometry of the Sphere contains is an online tutorial for AP math students to learn about spherical geometry. Some of topics covered are lunes, area on the sphere, spherical triangles, Girard's theorem, similarity, and Euler's formula. The material includes basic information, illustrated explanations, exercises, and instructions for making a "spherical straightedge".

Global Grocery List Project (GGL). The GGL Project in its eleventh year, sponored by the Global SchoolNet Foundation for grades K-8, is a collaborative project where kids go on a "global grocery shopping spree" comparing and sharing prices over the Internet.

Glossary of Mathematical Mistakes. Paul Cox's Glossary of Mathematical Mistakes contains examples of mathematical mistakes made by advertisers, the media, reporters, politicians, activists, and in general many non-math people. It provides material to sharpen your students' critical thinking and math skills covering a range of logic and mathematical errors and inconsistencies. The site is suitable for grades 7-12.

Golden Mean. The Golden Mean Web site discusses how this ratio (approximately equal to 1.618) has influenced mankind since the Greeks and the Egyptians. To learn more about this number, click on Some Golden Geometry, click on Steven Finch's Golden Mean, or Timothy Reluga's Golden Section.

Gordon's Games. Gordon Games, based on a primary teacher's 25 years of experience, is a collection of over 25 simple and inexpensive arithmetic games covering a wide range of skills for grades K-3. The site also offers the author's other materials and games for teaching a variety of other math topics in grades 4-7. Included are whole number computational skills, fractions and decimals, factors and multiples, prime and composite numbers, and casting out nines.

Graphics for the Calculus Classroom. Graphics for the Calculus Classroom, created by Douglas N. Arnold, features a collection of graphical demonstrations (Java animations and slides or animated GIFS) of concepts for teaching first-year calculus students.

Graphs and Stories. Graphs and Stories presents five activities for teaching about graphs in grades 4-8.

Graph Theory. Laurie Woo's Graph Theory online resource features activities, problems, and applications for the following discrete math topics: Euler Circuits, Hamilton Circuits, coloring graphs, and Steiner Trees. The site also includes background information, tutorials, and definitions on graph theory for high school classes. For additional information on the Four Color Theorem, click on Robin Thomas' site.

GCSE Answers' Mathematics Department Main Menu. The GCSE Math Department, designed as review information for Great Britain's standardized exams, provides a collection of online tutorials as well as math problems for grades 9-12. The site offers negative numbers, probability, trigonometry 1 (right-angled triangles), and trigonometry 2 (sine and cosine rules) tutorials, and step-by-step problems in ratios and fractions, introductory algebra, measurement geometry, probability, trigonmetry, and other advanced math topics. Answer keys are also supplied. Teachers can easily use this material in their math classes, and students can use it for preparing for the SAT I or ACT tests.

Grid Game. The Grid Game, from BBC's Megamaths Web site, is interactive math game offering different levels of play and playing times for grades 3-6. Students try to beat the clock solving addition, subtraction, multiplication, and division problems. To play this game, you must download Macromedia's free Shockwave plug-in.

Hamilton's Math to Build On. Math to Build On Web site contains excerpts from the book *Math to Build On*, by Johnny and Margaret Hamilton. The site, a wonderful homework helper for students in grades 7-12, provides practical math tips and shortcuts for a variety of topics as well as a non-technical math glossary.

Harcourt Brace's Animated Math Glossary. Harcourt Brace's Animated Math Glossary contains illustrated and animated definitions and explanations for math terms, categorized by grade level for grades K-8. Starting at grade 3, you can also find tables of metric and customary measurements, time, formulas, and symbols by clicking on **other** at the end of each alphabet.

Help With Calculus For Idiots (L i k e M e). Eric Gumtow of the University of Texas at Austin provides help with calculus for students taking AP math classes. You're invited to visit the author's Questions and Answers page to find answers to previous questions or to ask your own question.

Highland Tessellations. Highland Tessellations features an animation which illustrates the concept of tesselations in a very clear way. The site also includes tessellation examples created by Highland Middle School students and links to other school tessellation pages.

Historical Tidbits. Historical Tidbits, suitable for grades 6-12, contains biographical information on influential mathematicians such as Archimedes, Georg Cantor, Leonhard Euler, and Niels Abel. You can also listen online to the pronounciation of most of their names. You'll also find biographies of famous mathematicians from the University of Venezuela's Department of Mathematics.

History of Mathematics. David Joyce's History of Mathematics features timelines with biographies on famous mathematicians. You can also find information about individual mathematicians in the Chronology. The site is suitable for high school students and teachers.

Home 2 Learn Activities. Janet Carter provides a variety of printable activity coloring sheets for preschoolers. Topics geometric shapes, telling time, and addition. In addition, the site includes an online temperature converter, (scroll to "Farenheit to/from Celsius converter"), for older kids.

Home Page for Mr. Olson. Mr. Olson provides a page full of math humor with clever sayings, quotes, and cartoons for grades 7-12.

Home Page for New Math Teachers. Home Page for New Math Teachers, created by veteran teacher Terri Santi, provides useful tips and suggestions on a variety of topics for beginning middle school math teachers.

Home Page of John Newey. John Newey provides online interactive trigonometry tutorials for beginning trig students and for advanced trig students.

Homeschool Study Resources. Homeschool Central provides a wealth of selective resources for various subject areas including mathematics for grades K-12. Although this site is primarily intended for homeschooling parents, it's also very useful for classroom teachers.

Homework Central. Homework Central provides a vast collection of math site suseful for grades k-12 divided into two categories: elementary and a middle & high school. The site also offers a search engine named "Einstein" which features a group of well-developed search engines.

Homework Helper. A+ Math provides a homework helper where elementary school students can check their computations in addition, subtraction, multiplication, division, and division with a remainder. The site allows a student to enter a problem and its answer and the computer will reply whether or not the solution is correct. A student must retry until the answer is right.

Hop's Escher Tiles. Hollister David (Hop) provides a collection of his Escher-type drawings for grades 4-12. Also, scroll to "Tessellation" to find other drawings on Hop's Pages.

How much would you weigh on another planet? NASA's Marshall Space Flight Center in Huntsville, Alabama calculates your weigh on other planets. Did you know that if you weigh 85 pounds here on Earth, you would weigh only 3 pounds on Pluto? The site provides a worksheet showing you how to calculate your weight on another planet. You can also find out how "old" would you be on another planet. The site is suitable for students in grades 5-8.

How to Make Tesselations. How to Make Tesselations provides online step-by-step illustrated instructions for constructing simple Escher-like designs for grades 6-8. For more tessellation examples, click here and for other similar sites with classroom activities, click on Glenda Woodburn's Sixth Grade Student Tessellations, the Magic of Tessellation, or CLN's Tessellation Theme Page.

Imaging the Imagined. Paul Flavin's Imaging the Imagined showcases the author's computer graphics and animations for grades 8-12. The collection includes an extensive list of Platonic Solids and Polyhedra, Buckminster Fuller's tension structures, and a well-designed analog clock displaying the time and date, and features an hourly chime.

InfoMath's Practice Page. InfoMath, a software company, provides online addition, subtraction, multiplication, and division whole number practice for elementary school students. The company also offers a homework hotline service where students find answers to their questions via email.

Integrated Resource Packages (IRP's). The Integrated Resource Packages (IRP's), developed by British Columbia Ministry of Education, feature teaching guidelines for the various K-12 curriculum areas. The mathematics IRP's for grades K-7, 8-10, the 11-12 Introductory Math, and for the 11-12 Applications of Math include prescribed learning outcomes, suggested instructional and assessment strategies, and recommended learning materials.

INTERACT. INTERACT, an online magazine of the University of Cambridge School of Education's Mathematics Enrichment Club (NRICH), provides a wealth of activities stored in its article bank. To find a specific article such as "The Magical Maze" or "Divisibility Tests" enter these words in NRICH's keyword search engine. To find a general collection of activities, enter "articles". The site is suitable for grades 5-12.

Interactive Classroom Resources. Mrs. Rogucki, from the Anne E. Moncure Elementary School in Stafford, Virginia, provides the following online interactive math programs for elementary school students: Mad Math Minutes offers whole number practice in addition, subtraction, multiplication, and division; Change It helps students learn money skills by adding up pennies, nickels, dimes, quarters, and half-dollar coins; Graph It lets students create horizontal or vertical bar charts based on the values they enter; Convert It lets students exchange area, length, speed, and temperature measurements; Compare It helps students learn and use the words or the symbols for greater than, less than, and other math expressions; and the Place Value program lets students enter a number and the program shows the place value up to a 16 digit-number.

Interactive Mathematics. Murray Bourne's Interactive Mathematics site contains a variety of pe-calculus, calculus, and advanced topics for AP math students.

Interactive Mathematics Online (IMO). IMO features illustrated step-by-step algebra and geometry guides instructional for high school students. The topics in the algebra guide cover postulates, function basics and simple graphing, function types, and function squashing. The geometry guide includes introductory topics, angles and lines, creating four basic constructions, a glossary, sample problems with answers, and other topics.

Interactive Real Analysis. Bert G. Wachsmuth's Interactive Real Analysis is an online, interactive textbook for real analysis or advanced calculus in one real variable. It deals with sets, sequences, series, continuity, differentiability, integrability (Riemann and Lebesgue), topology, and more. The site, suitable for AP math students, also includes a variety of interactive tools, such as a function plotter, a continuity checker, and a root finder, for clarifying calculus concepts.

Introductory Statistics. David Wallace of Ohio University provides online introductory statistics resources useful for high school teachers and students. Algebra and statistics students will find animated demonstrations for order of operations, solving equations, and various statistical formulas, while AP students will find practice problems and solutions in statistics to help in preparing for the SAT exam.

Investigations in Number, Data, and Space. *Investigations in Number, Data, and Space* developed by TERC for grades K-5, contains sample activities from this publication focusing on the concept of change. Another well-organized activity by TERC is Close to 100 .

Investigating Patterns: Symmetry and Tessellations. Jill Britton provides a well-organized collection of activity links for investigating symmetry and tessellation patterns in grades 6-12.

Investing For Kids. Investing For Kids, designed by kids for kids in grades 6-12, examines stocks, bonds, mutual funds, and other financial investments. The site also includes a stock market simulation game, an interactive quiz, a calculator, and a glossary of financial terms.

Investing in Your Future. Investing in Your Future presents the basics of investing for high school students and K-12 teachers. (When the *User Name* window pops up, just click on **Cancel**) to be able to enter. The site provides four interactive financial caculators where students can actually do "what-if" analyses on the cost of a college education, an automobile, and a house, as well as plan for their eventual retirements. For an overview of the site, click on Table of Contents. A similar site is the Virtual Stock Exchange.

IPC's Guessing Game. The Interactive Publishing Company (IPC) provides online a guess-the-number game for students in grades 5-12. The computer picks a number from 1 to 100 which you then try you guess it. After each turn, the computer tells you if your guess was to high or to low... or if you got it. The game keeps going until you get the computer's number. For a non-Java version of this game, try Erols' Guess The Number, and for a primary grades version, try The Guessing Game!.

Ivars Peterson's MathLand Archives. Ivars Peterson's MathLand Columns from the Mathematical Association of America date back to 1996 and are suitable for grades 8-12. They feature short, easy-to-understand articles on various topics that relate math with everyday concerns. You'll find essays about M&M's chocolate candies, pi, magic squares, random walks, fractals, map-coloring, primes, and other topics. At ScienceNewsOnline, you can also find Ivars Peterson's articles.

Java Applets on Mathematics. Walter Fendt provides a collection of animated diagrams that illustrate geometry concepts such as the sum of the angles in a triangle and the Pythagorean theorem. The site is suitable for grades 9-12.

Java Gallery of Interactive Geometry. The Geometry Center's Java Gallery is a collection of eight interactive geometry Java programs for high school classes. Applets include a Lorenz simulator for tracing the trajectories of points, an one-dimensional quadratic iteration for producing fractals, a simple version of the popular tetris game, IFSoft software for creating and animating fractals, and Kali for drawing wallpaper patterns.

Jeannie's Electronic Classroom. Jeannie's Electronic Classroom, part of TEAMS Web site for grades 3-8, contains geometry and algebra activities for the school and the home as well as projects and other resources. The site also includes a teacher's corner and a student work section at each grade level.

Jim Loy's Mathematics Page. Jim Loy's Mathematics Page features a collection of articles written by the author on a variety of math topics for grades 7-12. Article categories include algebra, geometry, Roman numerals, and others.

Joy of Pi. David Blattner's Joy of Pi is an exploration of its extraordinary history, from Archimedes to Leonardo da Vinci and a listing of pi to more places than you really need. The site is suitable for grades 9-12.

Judi Harris' Network-Based Educational Activity Collection. Judi Harris' Network-Based Educational Activity Collection contains a variety of collaborative and network activities that encourage communication through the use of email for grades K-12. For Internet-based mathematics activities, click here. For Judi's 1996 collection of Web-based activities, click here, and for Judi's 1997 collection of curriculum-based Internet projects, click here. In addition, Judi provides a search engine to help you find activities from her collections.

Jumpin' Jehosaphat: the Counting Sheep. Ask Jehosaphat to solve the equation, and she'll jump (and bleat)the answer! The site, created by Shawn Dodds, is suitable for primary grade children.

Just for Fun. John A. Byers' provides the following online math tricks created by the author for grades 6-12: Calculator Magic I, Calculator Magic II, and Magic 13.

Karl's Calculus Tutor. Karl's Calculus Tutor provides math homework help via email as well as online course material for AP calculus students. Topics covered are limits, continuity, derivatives and their applications, exponentials and logrithms, trig functions, and more tricks with derivatives. The site also includes its own search engine.

Kid Crossword and Other Puzzles. Brian Goss' Kid Crossword and Other Puzzles, updated monthly for grades 3-12, features a collection of over 25 printable pages of crosswords and other puzzles for various curricular areas. Its current offerings for math (January 1998) include addition, multiplication, and metric system puzzles. In the catalog, you'll find previous math puzzles.

Kids' Almanac: Measuring Up. Kids' Almanac: Measuring Up from Yahooligans teaches elementary school students about standard systems of measurement for time, money, weather, weight, and others. Students can learn about the ways people have devised to keep track of, compare, and define quantities of things. The U.C. Berkeley Chemistry Department's Common Weights And Measures page also contains tables on common U.S. and metric equivalents and other related topics.

Kid's Consumer Corner. Kid's Consumer Corner teaches students in grades 3-6 practical economics. The site helps them how to save your money, how to pick out smart buys, and even how to make money. Included is a crossword puzzle to test their understanding of of the material.

Kids Domain Downloads. Kids Domain provides a wide variety of shareware/freeware PC math programs and Mac math programs that preK-12 teachers can download to their computers. In addition, you'll find other software to download including worksheet makers, board games, and thinking games at this site.

Kid's Place at Cuisenaire. Cuisenaire, in the Kid's Place section, provides monthly hand-on activities that can be be recopied for use in your K-8 math program. The site also includes Teaching Notes to accompany each activity.

Knowledge Adventure's Lemonade Stand. Lemonade Stand is Knowledge Adventure's online money game where you try to get rich starting with $10.00 in your piggy bank. The site is suitable for students in grades 2-5.

KnotPlot Site. Robert G. Scharein's KnotPlot Site, suitable for grades 8-12, is a collection of knots and links, viewed from a (partly) mathematical perspective. The images here were created with KnotPlot, a program to visualize and manipulate mathematical knots in three and four dimensions. You can feast your mind and your eyes on the images and animations in the various collections including the knot zoo gallery.

Laser Math. Laser Math, from Brøderbund's *Carmen Sandiego Math Detective *for grades 3-7, is an interactive place value/logic game where students put the lenses in the right order to make the "Light Spectrometer" work. The game has seven levels of play, and you must download Macromedia's free Shockwave plug-in to play the game.

Launch into Math. Launch into Math features a collection of Internet-based math and space projects to further student understanding the NASA Space Shuttle program. The site also includes student guidesheets that can be recopied for use in 4-8 classrooms.

Learning Kingdom Playground. The Learning Kingdom clearly explains and provides examples to the following math shortcuts for students in grades 5-12: the Blankety-Five Squared trick for squaring two-digit numbers that end in five, and the Eleven Times trick for multiplying two-digit numbers by eleven.

Learning Numbers through Play. Learning Numbers through Play provides early number teaching tips for preschool and kindergarten children.

Lemonade Stand. Jason Mayans' Lemonade Stand is online version of this classic game for students in grades 5-8. It teaches basic business math (sales minus expenses equals profits). The object of the game is to make as much money as possible in 25 rounds. Before each round starts, you review the weather forecast. Then you decide how many cups of lemonade to make, and how much to spend on advertising. At the end of each round, you receive a summary of how many cups sold and how much profit was made.

Linda's Electronic Classroom. Linda's Electronic Classroom , part of TEAMS Web site for the primary grades, contains geometry activities for the school and the home as well as a teacher's corner with professional resources. Teachers will also find other math activities in the Web Links section.

LineOne. LineOne features exercises and activities in reading, writing and math for grades preK-4.

Local Times Around the World Local Times Around the World is an online guide for providing the different local times around the world. The Date and Time Gateway also tells the date and time in numerous locations around the world. These sites are suitable for grades 7-12.

Logical Art and the art of Logic. Guenter Albrecht-Buehler's site the Logical Art and the Art of Logic is where students in grades 6-12 can learn about pentomino patterns and view a gallery of pentomino wood mosaics. To learn more about this topic, students can also visit Ashish Mahabal's site and enjoy his online program that automatically generates on a 6 by10 grid pentomino arrangements. (Click on **Pause** to see an individual solution.)

Look Who's Footing the Bill. Look Who's Footing the Bill is an introduction to the national debt for grades 7-12. It guides students through the process of developing a group project on the problems the U.S. economy must face in relationship to the national debt, and its long term effects on society. The site includes links to several interactive resources about the national budget.

Lopaka's Online Math Projects . Robert Garry of the Hawaii Community College offers a collection of "Divers Maths" projects including "The Great Balsa Bridge Contest", "The Rubik Meme", and "Polyhedra Stained Glass Lamps". Each project, suitable for high school honors math classes, includes links to Internet resources for background exploration. (Lopaka is the Hawai'ian word for Robert).

MacTutor History of Mathematics Archive. The MacTutor History of Mathematics Archive, provided by University of St Andrews in Scotland features a collection of more than 1,500 biographies of mathematicians, with snapshots arranged in alphabetical and chronological lists. This site, suitable for grades 6-12, also includes birthplace maps, history topics, an index to female mathematicians, and related Web resources.

Magic Squares, Magic Stars & Other Patterns. Harvey Heinz 's Magic Squares, Magic Stars & Other Patterns contains an extensive collection of `magic' number patterns, from the simple 3x3 square to the intricate five-in-one star for grades 7-12. The site includes other interesting patterns, such as narcissistic numbers and prime patterns. All the presentations are clearly illustrated and well explained. To find additional magic square resources, scroll to "Links to similar Web sites".

Magic Squares. Alan W. Grogono's provides extensive information about magic squares for grades 7-12. He illustrates methods for making the various magic squares, includes their history, and clearly explains the 'mystery' behind them. A magic square is square which all the cells in any row, column, or diagonal add up to the same amount. Other sites with magic square activities are Smart Media's and Ken's.

Magic with Numbers. Magic with Numbers features a variety of math recreations that elementary school teachers can print out and recopy for use in their classrooms.

Mag's 37 Factoids Page. Mag's 37 Factoids Page contains a collection of facts related to the number 37 organized into categories for grades 8-12. The site includes numerical factoids category.

"M&M's" Studios Bakery. "M&M's" Studios Bakery provides monthly a new recipe and past recipes for grades 2-6. Teachers can use these baking activities to help students better understand fractions, and they can receive via emai a free recipe booklet.

Map of All Triangles. Robert Simms' Map of All Triangles is an introduction to hyperbolic geometry, as well as other math topics on the author's Neat Math page. The site is suitable for students in grades 7-12.

Marcia's Games. Marcia's Games feature a variety of online math games for the middle grade students including MathChase where players start at zero and must add and multiply their way to the goal.

Math 202. Math 202 provides eight math projects developed by University of Evansville students for grades K-6. Project titles include "Counting Coins", "Fun with Fractions", and "Wonderful World of Geometry".

Math and Numbers. Math and Numbers, from Steve and Ruth Bennett's book *365 TV-Free Activities You Can Do With Your Child*, contains an extensive collection of mathematics activities for grades K-6 that require no special materials. Among the activities are checker calculator, crazy nines, household Gallup Poll, number hunt, and square five.

Math Archives: POP Mathematics. The Math Archives provides an annotated list of sites (POP Mathematics) to add more zest to your K-12 math program.

Math Archives: Topics in Mathematics. The Math Archives provides a searchable database of hundreds of math sites sorted by topic. To find sites suitable for grades K-12, teachers can browse the following topics: algebra, arithmetic, art & music, geometry, fractals, history of mathematics, pre-calculus, number theory, and statistics.

Math-Art. Math-Art features an an fractal exhibition created by students at Simon Fraser University. The site is suitable for grades 9-12.

Math Counts! Math Counts from the University of Richmond provides pre-service and practicing teachers with an annotated bibliography of online resources for teaching elementary school mathematics. Patricia Stohr-Hunt's site is divided into three sections: Standards, Pedagogy, and Resources, Pedagogy, and Resources.

Math Courses Online. Nancy Parham's subscription Math Courses Online are designed for students who want to learn basic math/pre algebra, algebra, geometry and data interpretation. The site offers free basic math tutorials and a free linear inequality tutorial for students in grades 7-12. Topics include addition, subtraction, multiplication, and division of fractions and integers, long division, and linear inequalities.

MathDrills Home Page. Elias Saab provides a wide variety of interactive math drills for grades 2-12. Students can practice online basic facts, fractions, word problems, factoring, linear equations, and other math topics.

Math Education and Technology. The Japanese company, International Education Software (IES), provides online an amazing Manipula Math collection of over 175 interactive, animated Java applet programs that dynamically illustrate mathematical concepts for middle and high school students. The site, updated bimonthly, includes applets for geometry, trigonmetry, calculus, and for miscellaneous math topics.

Mathematical Atlas. Dave Rusin's Mathematical Atlas is a comprehensive collection of short articles with related sites on various modern mathematics topics for grades 9-12. The site includes a topical index, and a clickable map as well as a layman's guide.

2 plus 2: Mathematically Correct. Mathematically Correct addresses the concerns about the invasion of our schools by the New-New Math and the need to restore basic skills to math education. Another site critical of mathematics education in the United States is Where's the Math?. Also, consider the following articles in the *Phi Delta Kappa International* magazine that advocate the need of math reforms: Thomas C. O'Brien's Parrot Math which explains why the back-to-basics approach has failed and Michael T. Battista's the Mathematical Miseducation Of America's Youth which argues that teachers need more knowledge on how students learn mathematics.

Mathematical and Educational Quotation Server at Westfield State College. Mathematical and Educational Quotation Server at Westfield State College contains a collection of hundreds of quotes compiled by Julian F. Fleron that can be used in high school math classes.

Mathematical Animation Gallery. Mathematical Animation Gallery shows movies and displays of synergistic, looping, and spiral images created by Simon Fraser University students. The site is suitable for grades 7-12.

Mathematical Exerciser. Link-Systems International provides an interactive math tutor that generates online random math problems covering the basic facts, fractions, decimals, and percent for grades K-8. Students select a grade level and a corresponding problem type to receive the exercises they need to practice.

Mathematical Snippets. Mathematical Snippets feature short illustrated descriptions of notable math ideas for high school classes. Topics include the Pythagorean theorem, the Möbius strip, and counting to infinity. Also, from the Bellevue Community College in Washinton state, is the Mathographies page which contains biographical sketches of famous mathematicians.

Mathematical Visualizations and Animations. Finland's Center for Scientific Computing (CSC) provides a collection of mathematical animations for the Klein bottle, cellular automata, hyperbolic geometry, quadratic functions, and other topics. The site is suitable for grades 8-12.

Mathematicians' Anniversaries throughout the Year. Mathematicians' Anniversaries throughout the Year, part of MacTutor, features a yearly calendar where you can learn about the contributions of mathematicians who were born or died on any day of the year. The site is suitable for grades 7-12.

Mathematicians of the African Diaspora. Scott Williams' Mathematics of the African Diaspora features biographies and histories of contemporary twentieth century mathematicians of African descent, and a study of the history of mathematics in Africa. The site is suitable for grades 7-12.

Mathematicians of the Seventeenth and Eighteenth Centuries. David Wilkins' Mathematicians of the Seventeenth and the Eighteenth Centuries, adapted from W. W. Rouse Ball's *A Short Account of the History of Mathematics*, contains a collection of biographical sketches of over 100 mathematicians from 1596 to 1781. David Wilkins also provides related links to the history of mathematics including pages relating to individual mathematicians. Another excellent source of historical sites of individual mathematicians is Yahoo's Directory. These sites are suitable for grades 8-12.

Mathematics Education at Memorial University of Newfoundland. Memorial University's Mathematics Education site provides a variety of resources for middle and high school teachers. Included are the use of journal writing in the mathematics classroom, algebra tiles for teaching polynomials, transformational geometry and informal statistics activities, as well as teaching ideas for the separate math classes.

Mathematics for Parents. The* Mathematics for Parents* newsletter, published by the WCER at the University of Wisconsin (Madison), provides teachers with 17 articles about teaching simple arithmetic and geometry concepts to primary grade children.

Mathematics Glossary - Middle Years. Maxine Stinka of the Saskatchewan Department of Education has prepared an online mathematics glossary for grades 6-9. The BC Ministry of Education also provides another useful math glossary for grades 7-12.

Mathematics Links. Washington Township High School provides a well-organized collection of mathematics links useful for K-12 teachers. Categories include reference, general math, algebra, geometry, number theory, and calculus.

Mathematics Resources on the Internet. Bruno Kevius provides an extensive collection of mathematics resources on the Internet organized by topic for grades K-12. Topics include algebra, calculators, education, fun mathematics, geometry, history of mathemetics, and many others.

Mathematics Teacher. The Mathematics Teacher provides online sample articles dating back to 1996 from the *Mathematics Teacher*, an official journal of the National Council of Teachers of Mathematics for grades 8-12. The site contains activities, teaching strategies, new curriculum developments, and a listing of available articles in the print editions for mathematics educators. For an archive of back issues, click here, to use its search engine, click here.

Mathematics Teacher Education Resource Place. The Mathematics Teacher Education Resource Place is dedicated to supporting and improving the preparation of mathematics teachers (preK-16) by providing online resources, hot links, and a professional forum for those engaged in the teaching of mathematics content and methods courses, or in the field supervision of beginning teachers.

Math 122 Exams. Professor Vladimir Masek of Wasington University in St. Louis provides online copies of his old Mathematics 122 calculus exams. These exams make good review material for AP math students preparing for the SAT tests.

Math Exercises. RXIAO provides online a collection of interactive math exercises for algebra, geometry, trigonometry, and basic calculus. Included also are exercise archives and a math self test. The site is suitable for high school students preparing for college entrance math exams. Students can also take a practice GED test with some math questions to see if they're ready for college.

Math For Morons Like Us. Math For Morons Like Us Web site provides tutorials, sample problems, quizzes as well as interactive message boards for reviewing topics in pre-algebra, algebra, geometry, algebra II, and pre-calc/calculus. The site is suitable for students in grades 8-12.

Math Forum: Calculation Tips. The Math Forum provides clear step-by-step instructions for over 150 calculation shortcuts that include squaring numbers, multiplying numbers, dividing numbers, and other topics. The site also offers multiplication tips for the numbers 5, 9, and 11, and divisbility rules for the numbers from 3 to 13.

Math Forum. Swarthmore College's Math Forum is a one-stop Internet shopping mall for all your K-12 math needs. You can search or browse for lesson plans, interactive activities, materials, and related Web sites for teaching arithmetic, algebra, geometry and advanced math topics. For newcomers to this excellent site, use the convenient Quick Reference Sheet.

Math Forum: Internet Math Hunt. The Math Forum provides a collection of Internet math hunts for grades 9-12. Each hunt consists of questions about math and mathematicians, and the answers can be found somewhere on the Internet. Students and teachers are invited to submit solutions and submit an Internet Math Hunt.

Math History: Sample Activity Archive. The AIMS Education Foundation provides biographies of famous mathematicians from its math history publications. Other math history sites suitable for grades 4-12 are College Station Fourth Grades' Moldy Oldies, Allmath.com's Biographies of Math, Southern Illinois University's Hall of Great Mathematicians, and Adam Moore's Mathematician Biographies.

Math Homework Help. The Math Homework Help lets you email for help in pre-algebra, algebra I & II, geometry, trigonometry, calculus, and other math subjects for a fee. The site, suitable for grades 7-12, also provides history, a dictionary, and related links.

Math Humor Links. Doug Craigen's Math Humor Page contains a collection of links to jokes, funny stories, and other math amusements that can add a "light touch" to any high school math class.

Math in the Movies. Math in the Movies is Arnold G. Reinhold's guide to major motion pictures with scenes of real mathematics.

Math Jokes. Andrej and Elena Cherhaev's Math Jokes is a selection of humor and sayings containing something essential about mathematics, the mathematical way of thinking, or mathematical pop-culture. The site is suitable for grades 9-12.

MathKiD. Donna C. Belville's MathKiD provides a collection of online math games to motivate elementary school children to learn basic skills in addition, subtraction, multiplication, division, counting money, and identifying equivalent fractions. The games include Magic Square, Get To The Gold, Get Rich Quick, Equation Scrambler, Fractions Game, and the Frog Game.

Math League Help Topics. The Math League provides help on a wide variety of topics for grades 4-8. The site contains help on whole numbers, decimals, data & statistics, fractions, geometry, ratio & proportion, percentages, integers, metric units & measurements, intro to algebra, and positive & negative numbers. Each topic is complete with straightforward examples, clearly-written definitions, and easy-to-understand explanations.

Math Magic Activities. Math Magic Activities feature nine magic recreations from card tricks to topological curiosities for students in grades 5-9. Another math trick is Pick a Card, Any Card.

Mathman. Mathman, also known as Don Cohen, presents sample activities and problems with answers from his highly acclaimed book and workbook, *Calculus By and For Young People (ages 7, yes 7 and up)*.

Mathmania. Mathmania, inspired by Paul Erdös work, provides a variety of higher-level math explorations and activities for grades 5-12. Topics covered are knots, graphs, sorting networks, and finite state machines. For an overview of the site, take a virtual tour.

MathNotes.com. Addison Wesley Longham's MathNotes.com provides a variety of online interactive tutorials (Windows users only), study aides, real-world applications, and Spanish glossaries useful for high school classes.

Math-On-Line. Math-On-Line contains a collection of interactive online math tests designed by Dick Laguens and created by QuizMaker 2.0. Topics include a review of basic math skills, a series of algebra tests, a series of practical geometry tests, and a quiz of the week for both algebra and geometry. The site is suitable for students in grades 9-12.

Math Pages. Kevin Brown's Math Pages is a a treasure chest of information containing over 300 articles on a variety of mathematical topics for teachers of advanced level math courses. Topics include number theory, combinatorics, geometry, algebra, calculus, differential equations, probabilily, statistics, physics, and the history of math.

Math Parent Handbook. Houghton Mifflin's Math Parent Handbook provides a variety of resources to enrich the math curriculum in grades 3-6. Some of the resources useful for the elementary school teacher are 13 Quick and Easy Math Games and a list of Math On the Go activities that involve everyday real-life experiences.

Math Resources. Amby Duncan-Carr provides a well-organized collection of math sites for grades K-12. Categories consist of basic facts, arithmetic, problem solving, algebra, geometry, higher level math, numeracy, and test preparation.

Maths Online Gallery. Maths Online Gallery, from the University of Vienna in Austria, provides a gallery of interactive learning units to enhance the teaching of secondary school mathematics.

MathSphere. MathSphere provides a math dictionary for grades K-8. To read or print out the dictionary, you must download Adobe's free Acrobat Reader.

MathSURF. MathSURF provides a collection of grade-by-grade activities and math-related sites that correspond to Scott Foresman/Addison Wesley's math textbooks for grades K-8. The site also offers daily three-levels of word problems to strength your students' mental math skills. In addition, you'll find reading-for-math stories with pictures for each chapter in your child's K-2 math book as well as K-6 math-at-home (or math-at-school) activities located in the family section. Many of the materials include printable student worksheets and answers and most of the resources can be used in planning your mathematics curriculum.

MathTest. SteveO's MathTest is an interactive drill program providing basic fact practice in addition, subtraction, multiplication, and division for students in grades 1-4.

Math Tips Directory. The MathDEN, part of the Digital Education Network, provides a collection of over 100 simple-to-understand calculating tricks (computational shortcuts) for grades 5-12. Each tip includes an accompanying set of examples and a practice quiz. To access this site, type "guest" in the **Name** and the **password** boxes.

Math Tutor. The Math Tutor is ready to help you. He has years of experience with all areas of math, from arithmetic to calculus. Email him a question and he'll respond in a day or less - for free!

MATH 202 Web Projects. Math 202 Web Projects, created by University of Evansville students, contain a variety of math topics from addition to geometry. Each project includes online practice work for primary grades children.

Math Website. The Math Website, from Joan Marie Brown's Learning Site, contains ideas and activities to use with specific math sites for middle school students.

Math with Mr. Bear. Math with Mr. Bear provides interactive addition, subraction, and patterning tutorials for the primary grades. Each tutorial offers visuals and online practice.

Mayan Math. Rhonda Robinson's Mayan Math, suitable for grades 5-8, elaborates on the Mayan number system based on three symbols. Karen M. Strom also offers another good site explaining Mayan mathematics.

Mazes. Mazes, the title of a Newton's Apple television show, provides classroom activities for teaching about mazes and topology in grades 5-8. To find other activities on mazes, click on Tony Phillips' page.

McDougal Littell Middle School Mathematics. McDougal Littell Middle School Mathematics provides a chapter-by-chapter collection of links that correspond with its Passport series and its Math Thematics series for grades 6-8. These sites can be also used with any middle school math textbooks.

McDougal Littell State Spotlight. McDougal Littell provides a wide variety of math-related activities to help middle school students to learn more about their own states. The site features a clickable map of the United States with activities for each state. To find "State-specific Math Questions", click on either California, Florida, Texas, Georgia, or another state in the map and scroll to that link. To view and print these activities, you need Adobe's free Acrobat Reader.

McDougal Littell Texas Math. McDougal Littell provides ten student worksheets with mutliple-choice test items as well as teacher answer sheets for algebra I. The publisher also includes a mutliple-choice test bank with answer keys for middle school mathematics. To view and print any of this test material, you need Adobe's free Acrobat Reader.

MegaMaze. The MegaMaze game from BBC's Megamaths Web site is interactive math game offering different levels of play and playing times for grades 4-6. Students solve multiplication and division problems as they try to work their way through a maze. If they pick up crowns, they gain extra time. To play this game, you must download Macromedia's free Shockwave plug-in.

Megamaths Tables. Megamaths Tables, from a BBC television series for grades K-5, provides interactive math games where students can practice online multiplication, division, and word problems. The "Pick a Number" feature is especially helpful for kids learning the multiplication tables. Kids can click a number, then learn patterns and hints that can help them memorize basic math facts. To play the games, you must download Macromedia's free Shockwave plug-in.

Metrics Matter. Metrics Matter provides a a basic explanation of how the metric system works and the various units of measurement for grades 4-12. Students can learn about measuring length, volume, mass, and temperature. To use a simple metric conversion chart, click on Sang Ho Chung's or use the State of Washington's Dept. of Transportation more comprehensive Metric Conversion Factors page.

Michele's Math. Michele's Math provides a list practical tips for teaching the multiplication tables and the divisibility rules for elementary and middle school students.

Mighty Math Club. Edmark's Mighty Math Club provides math activities as well as a free electronic geoboard for ages 3 to 14. Some of the activities do not require Edmark's software.

Mikael Bonnier's Aritm Java Applet. Mikael Bonnier provides online an arthmetic drill program for elementary school students. Students can practice addition, subtraction, multiplication, and division basic facts, single digit with double digit computations, and problems in words as well as learn about Roman numbers.

Minnesota Basic Skills Test in Mathematics Page. Rob Rumppe and Bill Towne of Minneapolis Public Schools provides a variety of practice math tests and quizzes that can help middle school students prepare for their own state's standardized math tests.

Modularity in Art. Slavik Jablan's Modularity in Art is a stunning collection of pages tracing the mathematical connections between Roman mazes, Celtic key-patters, and modern Op-art works. You can also explore the author's Mirror Curves where you'll find intricate Tamil designs from south India or Tchokwe ground drawings from northeast Angola. The site is suitable for grades 6-12.

Money Talk. Money Talk contains money activities and games for elementary school students. The site includes currency converter for seeing what any amount of American money is worth around the world.

Monster Math. Monster Math is an online interactive, bilingual math story for the primary grades. The site is designed to introduce and review a variety of basic math concepts such as counting, addition, and multiplication in which kids answer simple number questions about a monster to advance in the story. To begin the story in English, click here, or to begin the story in Spanish, click here.

Mr-Maths. Mr-Maths, created by Tim Atton, a math teacher in the West Midlands, U.K., provides the following online math games for grades 7-12: a times tables activity called FACTOR GRID; a trigonometry activity called TRIG QUEST; an angle estimation activity called ANGLER; and a fraction concentration-like activity called FRACTION PAIRS. The site also includes Tim Atton's teaching notes on a variety of math topics.

Mr. Pitonyak's Pyramid Puzzle. Mr. Pitonyak's Pyramid Puzzle Web site provides a guided interdisciplinary math project for grades 6-8. Students do online research trying to find out how much would it cost today to build an ancient Egyptian pyramid.

MSDP: Frisbie Middle School's Phase 2 Project. Frisbie's Middle School Demonstration Project (MSDP) in Rialto, Ca. offers a variety of interactive math activities for grades 6, grade 7, and grade 8. To find these activities, scroll to "Internet Links to Support Interactive Mathematics" and "Strand Links".

Multiple Counting Practice. Saxon Publishers provides online a hundreds board where elementary school pupils can practice counting any multiple from 2 to 9.

Multicultural Math Fair. Frisbie Middle School's Multicultural Math Fair Web site features ten activities in English and Spanish that make excellent projects for a schoolwide math fair for grades 6-8. The site also includes specific information for seting up a multicultural math fair.

Multicultural Perspectives in Mathematics Education. The Department of Mathematics Education at the University of Georgia provides a variety of resources for furthering our understanding of multicultural perspectives in mathematics education. The site also includes related multicultural math links.

Multiplication: An Adventure in Number Sense. Multiplication: An Adventure in Number Sense presents an alternative approach to memorizing "times table" that leads beginning algebra concepts. The site is suitable for grades 4-8.

Native American Geometry. Chris Hardaker's Native American Geometry, suitable for grades 4-8, discusses and demonstrates hands-on exercises linking mathematics with multicultural art.

New Hampshire K-12 Science and Mathematics. The New Hampshire K-12 Science and Mathematics provides math addendums featuring content strands and teaching strategies for grades K-3, grades 4-6, and grades 7-10.

Nomi's Operations: Multiplication. LIVE Mathematics on the Web provides interactive online practice in two and three place mutiplication, addition, and subtraction for students in grades 3-7.

NonEuclid. The NonEuclid Web site is a primer on non-Euclidean geometry featuring Joel Castellanos' online simulation called, *NonEuclid*, that allows students to draw lines and circles in the hyperbolic plane. The site also provides an introductory explanation of hyperbolic geometry, with over 25 illustrated pages in the "Basic Concepts" section. To find starting activities for this straight edge-and-compass construction simulation, click here. To use this Java 1.1.4 simulation, you must download Netscape Communicator 4.5 or Microsoft Internet Explorer 4.0.

Non-Linear Lab. Blair Fraser's Non-Linear Lab is an interactive site for grades 9-12 where students can learn about and do online their own investigations in non-linear dynamics, chaos, and fractals.

North Hollywood High School Math Department. The NHHS Math Department Web site, created by students, showcases innovative projects for AP high school math classes The site includes an online tutorial with teaching ideas for using the *Geometer's Sketchpad*.

Numbers. Numbers, based on Richard Phillips' book *Numbers: Facts, Figures , and Fiction*, gives explanation and simple examples for each day of the month. A similar site, also suitable for grades 7-12, is Tom Brinck's Digits Project.

Numeroscope. The Numeroscope, sponsored by the Woodrow Wilson National Fellowship Foundation, is an interactive laboratory for exploring clock numbers, cryptography, and finite groups. The suite is suitable for students in AP math classes.

Online Algebra. Online Algebra contains a collection of James Brennan's notes useful for high school algebra teachers and students. The notes include the following categories: the numbers of arithmetic, introduction to algebra, graphing and straight lines, systems of linear equations, polynomials, and quadratic equations.

Online Exercises System. The University of Cincinnat provides automatically generated computer-graded smart exercises for instruction via the Web. HTML documents with graphs, links, and complex formulas are created individually for every student. The system supports answers as numerical or algebraic formulas, true-false, and multiple choice. Scores, and the actual student answers are stored in the logs. In addition, teachers can access class records or install new exercises using Web-based forms. The site is suitable for grades 7-12.

Online Math Applications. Online Math Applications provides a variety of real-world math situations for elementary school students. Students learn about the different investment vehicles and play a simulated stock market game; find out how music and math are interrelated; read about great mathematicians like Euclid, Pascal, Newton, and Gauss, who developed mathematical key concepts; they discover why computers are getting better and cheaper; and they even compare the costs for renting or buying a car and are able to determine the braking distance to reaction time for various speeds and cars.

Online Quizzes. The Mercer County Community College in Trenton, NJ provides a collection of over 20 online, self-correcting tests for students in grades 5-12. Tests cover computation, algebra, and geometry topics. The site also includes a refresher for a variety of math concepts.

Oregon Curriculum Network's Math Center. The Math Center at the Oregon Curriculum Network provides a variety of topics on spatial concepts and advanced mathematics. Spatial topics include Euler's law and symmetry families, while advanced include the binomial theorem and Descartes' Deficit (limits). The site is suitable for advanced high school math students.

Origami Mathematics. Thomas Hull's Origami Mathematics contains information on the use of paper folding in geometry for high school classes. The site includes straight edge and compass Origami Geometric Constructions as well as illustrated directions for constructing the following models: Five Intersecting Tetrahedra, Pentagon-Hexagon Zig-Zag Units, and Compound of Three Octahedra.

Paper Folding. Paper Folding is based on LWCD's book, *Paper Folding*, which features a hands-on approach to teach geometry using paper folding methods in grades K-12. The site provides online folding paper instructions and examples to introduce various math topics. Topics include basic folds, geometry, fractions, tangrams, and tesselations. Other origami sites with classroom paper folding activities for geometry are Aidan Dysarts How to Make an Orgami Crane, Paul Haeberli's Making Pleated Designs, and Fascinating Fold's Learning Center.

Parametric Equations. Professor Eric Barth's students, Diana and Chris, at the Kalamazoo College provide interactive calculus study material for parametric equations focusing on projectile motion. The site is suitable for AP math students.

Pascal's Triangle. Pascal's Triangle contains an explanation on constructing this famous shape, historical information, and explains the various uses of Pascal's Triangle for grades 7-12. The site also offers related links for further exploration.

PAWS. Pattern Awareness System (PAWS) generates two-place mutiplication problems using an area procedure to help students understand the process. You must dowload Macromedia's free Shockwave. Students are given a problem such as "What is the square of 51?" along with its corresponding diagram of a square. To solve the problem, students multiply each of the four parts (areas) and then add them up for the answer. (Paper and pencils or a calculator is needed.) The site, suitable for grades 5-9, can also be used to develop an understanding of mutiplication of polynomials in algebra.

Paul Burke's Geometry. Paul Burke provides an online tutorial with a collection of geometry topics for high school classes. Topics cover surfaces, algorithms, and Platonic solids and their measured properties include illustrated commentaries, examples, and formulas. Fractals, Chaos is another good tutorial by the author.

PBS Mathline: Inventory. PBS Mathline provides a wide variety of online math-related resources organized by grade level for grades preK-12. The site also includes a collection of math concepts and other activities from PBS TV shows that teachers can use in their existing math programs.

Perseus Project's Euclid. Tufts University's Perseus Project provides an online version of Heath's English translation of Euclid's 13 geometry books. Donald Lancon, Jr. also has created An Introduction to the Works of Euclid Web site with information on Euclid's life.

Peter Alfeld 's Home Page. Peter Alfeld, a Professor of Mathematics at the University of Utah, provides a variety of useful math resources for students and teachers in grades 8-12. Included are a study guide for understanding math, biographical information and classroom activities related to Archimedes, Eratosthenes, and Hypatia in the favorite mathematicians section, and a list of famous equations and inequalities. In addition, the site offers an assortment of interactive animations in Java applets page. You can explore Mandelbrot fractals, identify primes using the Sieve of Eratosthenes, and see 3D animations of the five the Patonic solids.

Philadelphia Graphing Calculator Committee. The Philadelphia Graphing Calculator Committee provides a variety of graphic calculator resources for high school math classes.

Pick a Number. The Pick a Number game from BBC's Megamaths Web site offers fun tips and tricks to help students in grades 3-6 learn the mutiplication tables. Click on a card to find tips and more games. To play this game, you must download Macromedia's free Shockwave plug-in.

Picking Game. Mukkai Krishnamoorthy's Picking Game, devised from a 1997 *Scientific American* article for grades 7-12, is an interactive divisor-and-multiple game with a range of numbers between 1-100. The site provides explicit directions as you play against the computer.

Picture This. Picture This, part of Sarah Keith's Creative Imaginations Web site, offers free tangram pieces and designs that the primary grade teachers can print out for use in their classrooms. Students can also create their own designs and possibly have them published on this site.

Pi Trivia Game. Eve Andersson's Pi Trivia Game delivers an online quiz with 25 fun questions that the computer picks randomly from a database of hundreds of pi-related questions. For another quiz, click on your browser's **Reload** buttom. To learn about the number **'**pi**'**, click here or here. These sites are suitable for grades 9-12.

Platonic Realms. Platonic Realms, maintained by the Math Academy's graduate math students, provides an Interactive Mathematics Encyclopedia (PRIME) as well as a collection of quotes by famous mathematicians. The site also offers selected K-12 math sites.

Precalculus Notes. Mr. Horne's Precalculus Notes provides basic information covering topics ranging from functions to trigonometric laws, identities, and equations to sequences and series for high school teachers and students.

Princeton Review Online: Regents. The Princeton Review Online provides test questions from the New York State Board of Regents math exams for high school students. These test questions make excellent supplementary material for general math, algebra, geometry, and trigonmetry classes. The site includes Math I, Math II, and Math III sample tests with answer keys. To read and print all the exams, you must download Adobe's free Acrobat Reader.

Projective Geometry. Nick Thomas provides online an illustrated guide to projective geometry for high school students.

Project SMART. Project SMART provides a variety of collaborative math and science projects created by Rhode Island teachers in 1995 and 1996 for grades 2-12.

Pronunciation Guide to Mathematicians. Gary Stoudt of Indiana University of Pennsylvania provides an online pronunciation guide to mathematicians. Kent Kromarek of the Iniversity of Wisconsin at Waukesha offers another mathematics pronunciation guide. These sites are suitable for grades 5-12.

PUMAS. Pythagoras' Playground contains a variety of math projects involving triangles for grades 5-8.

PUMAS.Practical Uses of Math and Science (PUMAS), pronouned poo' ⋅ mas, is a collection of one-page examples of how math and science topics taught in K-12 classes can be used in everyday life. To view and print any of the articles, you must download Adobe's free Acrobat Reader.

QESN's Mathematics Teaching Resource Centre. The Québec English Schools Network (QESN) provides a collection of supplementary math materials (student handouts and teacher's guides) for teaching algebra, geometry, and statistics at the high school level. To view and print these materials, you must download Adobe's free Acrobat Reader.

Quiz Lab. The Quiz Lab, designed by FunBrain for grades K-12, allows teachers to put their own quiz materials on the internet. When the students complete the quiz, the results are emailed to the teacher along with the most frequently missed questions. To sign up for this free service, click here.

Question Mark Computing. Question Mark Computing provides an interactive GED Math Test courtesty of Steck-Vaughn for grades 9-12.

Quia! Math Journey. Quia! Math Journey is an interactive math game for grades 3-8 where students travel around the world by answering addition, subtaction, mutiplication, and division problems. The journey begins and ends in London, and has stops in 30 cities along the way. To board the plane to each new city, a student must answer a math problem correctly. If he/she gets a problem wrong, he/she has "missed the flight". Miss three flights and the game ends. The game offers four skill levels, and students can practice can only one type of problem or a variety of problems for each game.

Rags to Riches. Headbone Interactive's Rags to Riches is an online game where teenagers can rake in as much cash as they can taking "Groovy Gravy" on a 10 week band tour. Choose music venues, set ticket prices, record new songs, and decide how much to spend on advertising. To start the game, click here.

Rational Numbers. Rational Numbers is an online guide for teaching the basics to graphing rational functions for high school students. The site includes interactive exercises and quizzes.

Resources for Mathematics. The Birmingham City Council Education Department provides a wide variety of math resources from calculator activities to tricks for grades 4-8. To find this collection, scroll to "Free Online BASS Resources.

Roman Numerals 101. Oliver Lawrence's Roman Numerals 101 explains how the Romans used seven letters to express all their numbers. The site also includes an online Roman numeral quessing game for students in grades 5-8.

Room 108: Math. Room 108 provides a wide variety of online interactive math drills covering all the basic operations for students in grades 1-6. Some talk to you and say "NO" or "RIGHT" when you type in the right number, and you can control the number of problems and other variables in the timed-test drills.

Rosemary Beck's Math Exercises. Rosemary Beck provides a collection of twelve math exercises with answers for teaching word problems to students in grades 4-7.

SAT Math Preparation. Cubic Science presents free sample practice materials to prepare high school students for the SAT math exam. In the tutorial section, you'll find online a brief tutorial and a quiz for the following topics: new operational symbols, parallel and perpendicular lines, percentage and data interpretation, prime numbers and factors, the Pythagorean theorem, and triangles. The site also provides online diagnostic and drill tests with Java and without Java.

Saxon Publishers' Basic Facts Practice. Saxon Publishers provides online practice in addition, subtraction, multiplication, and division basic facts for elementary school students. The site includes a "Show Me My Results" feature which keeps a record of the student's correct and wrong answers.

School of the Web. M. Casco Associates' School of the Web offers online interactive reources for teaching about functions, graphs, chaos theory, and fractals at the high school level.

Schoolzone. The UK's Schoolzone provides a collection of math resources for grades K-12.

Science Explorer's Math Testing Center. The Science Explorer provides a wide variety of online math tests to help high school students prepare for the SAT.

Science U. The Geometry Center's Science U is filled with interactive exhibits, online simulations, graphics software, and a library of reference materials for grades 7-12. Among its various math resources are the geometry center, a math glossary, and a poyhedra section with Platonic and Archimedean solid activities. To browse the complele collection of activities and articles for math, click here.

SMARD Database. The Secondary Mathematics Assessment and Resource Database (SMARD), managed by the Queensland Association of Mathematics Teachers, provides classroom-tested, non-traditional math assessment and resources for students and teachers in grades 4-12.

Seeing is Believing. Seeing is Believing provides a math section containing a separate glossary for algebra, calculus, geometry, statistics, and trigonometry. For a single dictionary of math terms, click here.

Shapes. Shapes helps teach preschool and primary grade children about common geometric figures such as the circle and the square.

Shongo Networks. Shongo Networks, from the GEMS guide "Math Around the World", features a fun pencil-and-paper tracing pattern that illustrates network or graph theory to students in grades 3-8. This pattern can printed and recopied for classroom use as well as this other pattern. The site also includes an online demo showing the various solutions of the first pattern.

Short Course in Trigonometry. David E. Joyce's Short Course in Trigonometry is an online tutorial useful AP math students. Topics covered are angle measurement, chords, sines, cosines, tangents and slope, the trigonometry of right triangles, the trigonometric functions and their inverses, the trigonometry of oblique triangles, and trig identities.

Shooter Does Math. Students everywhere will enjoy hearing Shooter, a six-year old Yorkshire terrier, bark out the correct answers to math problems on their computers.

Simon Fraser University's History of Mathematics. Simon Fraser University's History of Mathematics provides information about mathematicians from Europe, China, India, and Egypt and includes a history of sundials in the special topics section. The site is suitable for grades 7-12.

Solving Quadratic Equations. LIVE Mathematics on the Web provides an online quadratic equation solver for beginning algebra students.

S.O.S. Mathematics - CyberExam. The Department of Mathematical Sciences at The University of Texas at El Paso provides a collection of practice tests with immediate feedback for intermediate algebra, social sciences math, pre-calculus, calculus, and differential equations. The site, suitable for grades 9-12, also includes a list of mathematical tables and formulas organized by topic.

Sound of Mathematics. Daniel Cummerow has composed digital music to accompany a variety of math topics. The site, suitable for grades 7-12, also provides math information on the topics and links to other math/music resources.

Spanky Fractal Database. Spanky Fractal Database is a collection of fractals and fractal related material that Noel Giffin has complied for free distribution. The site is sutable for grades 9-12.

Sprott's Fractal Gallery. Julian C. Sprott's presents daily a new generated automatically by a computer program the author created. The program searches through large classes of equations for visually interesting patterns. The site, suitable for grades 7-12, contains an archive dating back to 1996 of older fractals and links to thousands of fractals from other sites.

Statistics Every Writer Should Know. Statistics Every Writer Should Know is Robert Niles' easy-to-understand guide covering the basic statistical concepts for students in grades 6-12.

Storybook of Geometry. The Storybook of Geometry, created by three high school students, features a variety of interactive stories in which middle school students will be able to learn the basics of geometry and see how they relate to real world situations. Students answer story problems, explore, and read illustrated stories that help to uncover the mysteries of geometry.

Study Web: Math. The Study Web, created by American Computer Resources (ACR) for grades K-12, provides a searchable collection of reviewed math sites. Categories include General Math, Algebra, Elementary Math, Geometry, Probability & Statistics, and Puzzles & Problems. The site also includes a list of teaching resources for math.

Sumfun. Barb and Cam Miller's Sumfun is a little smorgasbord of links to intriguing math information online for grades 6-12.

Sunny Hills Elementary School's Math Club. The Sunny Hills Elementary School in Issaquah, Wa. provides online weekly homework activities for grades 4 and 5. Each math activity includes an illustratred explanation (lesson) accompanied by a printable student worksheet. This supplementary material is also sutable for grades 4-8.

Symmetry and the Shape of Space. Chaim Goodman-Strauss' Symmetry and the Shape of Space features advanced math topics for high school geometry students. The symmetry topic includes motion in the plane, isometries, and regular patterns, while the paper surfaces topic include topological items such as the Mobius band, the annulus, the Torus and the Klein bottle.

Symmetry Online. Symmetry Online is an abridged online version of István & Magdolna Hargittai's book *Symmetry: A Unifying Concept* published by Shelter Publications. The site features a graphic journey through the worlds of symmetry covering bilateral symmetry and shape and movement topics suitable for high school students.

Synergetics on the Web. Synergetics on the Web is a tribute to Buckminster Fuller providing information about geometry and the visual arts and geodisic domes. The site, suitable for high school math classes, includes related links.

Tangrams Randy Crawford's Tangrams provides a wide assortment of tangram designs as well as tangram history and illustrated directions for making your own set. The site is suitable for grades 3-7.

Teacher's Corner. The Teacher's Corner, updated bi-weekly, contains a collection of math games and activities contributed by teachers for grades preK-6.

Teaching Children Mathematics. Teaching Children Mathematics provides online sample articles dating back to 1996 from the *Teaching Children Mathematics*, an official journal of the National Council of Teachers of Mathematics for grades preK-6. The site contains activities, teaching strategies, new curriculum developments, a listing of available articles in the print editions, and a 'Problem Solvers' section in each online issue for mathematics educators. For an archive of back issues, click here, to use its search engine, click here.

Teaching K-8 IdeaSite. *Teaching K-8*, a monthly professional magazine for K-8 teachers, provides a variety of educator resources including math.

Teaching with the Internet: Lessons from the Classroom. Donald and Deborah Leu's new book, *Teaching with the Internet: Lessons from the Classroom*, offers sample strategies from the book for integrating the Internet into the mathematics classroom (see chapter 8). The site is suitable for grades 4-12.

Tenth Planet's Curriculum Extensions. Tenth Planet provides a collection of Web sites for enriching the teaching geometry in grades preK-5. Themes include spatial relationships, introduction to patterns, combining shapes, creating patterns from shapes, shapes within shapes, and mirror symmetry.

Tessellating Animation. Makoto Nakamura presents a collection of his tessellating animations. The site is suitable for grades 4-12.

Tessellations Project. Tessellations Project contains examples of fifth-grade and sixth-grades student tessellations. Other sites with tesselation examples can be found at the Fairland Elementary School, Suzanne Alejandre's Tesselation Links, and Yahoo's Directory.

101 Things You Can Do During the First Three Weeks of Class. The University of Delaware's Center for Teaching Effectiveness provides an instructional handout entitled "101 Things You Can Do During the First Three Weeks of Class". The site contains numerous suggestions applicable to grades 6-12.

Time for School. Time for School provides a collection of printable math worksheets for grades prek-3.

Time Service Department: U.S. Naval Observatory, Washington, DC. The U.S. Naval Observatory's Master Clock provides online the time expressed in UTC, EST/EDT. CST/CDT, MST/MDT, PST/PDT, or all the standard time zones together. The site also includes the USNO Master Clock section containing historical information, clocks of the future, and information about time systems. To learn more about world time zones, click here and to learn about the millennium, click here. This site is suitable for grades 7-12.

Tom Gettys' Polyhedra Hyperpages. Tom Gettys' Polyhedra Hyperpages contain images of Platonic and Archimedean solids, and other computer-generated images of polyhedra for grades 7-12. To view pictures of polyhedral solids, click here, and to view Bruno Kevius' animations of the five Platonic solids, click here. To learn how to build your own models, click here. Other similar sites are George Hart's Virtual Polyhedra containing images of 1,000 polyhedra as well as instructions for making your own paper models, and R. Mäder's the Uniform Polyhedra with 80 thumbnails and large pictures that can be scaled and printed.

Topics in Arithmetic and Elementary Mathematics. E. Lee Lady's Topics in Arithmetic and Elementary Mathematics are materials used in a university course for prospective elementary school teachers. Topics covered are representing numbers in other bases, divisibility tests, periodic decimal expansions, irrational numbers and square roots, basic principles of algebra, "Russian Peasant" multiplication, Horner's Method or synthetic division, simple linear Diophantine equations, Newton's method for computing square roots, proof that square roots of most integers are irrational, and how to convert a repeating decimal to a fraction.

Topology and Geometry Software. Jeff Weeks provides seven interactive topology (torus and Klein) games for students in grades 6-12 to play online. Click here to play the games.

Totally Tessellated. Totally Tessellated is a comprehensive introduction to tessellations for grades 5-12. The site includes a historical gallery of actual tessellations, illustrated and animated tutorials, how to make tessellations, and information about the most famous tessellator, M.C. Escher.

Teacher2Teacher. The Math Forum's Teacher2Teacher is an online resource for K-12 teachers who have questions about teaching math. The site offers an archive of answers, pages of public discussions, and a form for submitting questions. For an overview of this question-and-answer service, click here.

Trigonometry Review. The Trigonometry Review provides online 67 study questions for high school trig students, Topics include definitions of trigonometric functions, values of functions in the first quadrant, and trigonometric identities.

Triton College Math Department. Triton College Math Department provides review material for a variety of math topics including fractions and decimals, geometry, and elementary statistics. The site, suitable for grades 7-12, also includes an updated list of new topics.

Through Mazes to Mathematics. Tony Phillips' Web site provides information about labyrinths (a special kind of maze) that have been constructed and enjoyed by people since pre-historic times. Recently, a way has been found to encode these patterns numerically, and to use the mathematical formulation to study existing labyrinths and to generate new ones. The site is suitable for grades 4-12.

Understanding Maths. Education by Design features three online interactive activities to help elementary school students learn basic math skills. AutoMaths provides number fact practice; Scrambler offers jigsaw-like puzzles for improving spatial ability; and Building Numbers helps to teach grouping with numbers over ten. Each activity includes three levels of difficulty.

Using the Newspaper to Learn Math. Using the Newspaper to Learn Math from the Calgary Herald contains a series of math activities for arithmetic, measurement, graphs, and geometry in grades 3-6

Vineyard Challenge. The McCarty Company's Vineyard Challenge is an online, interactive game for grades 8-12 that incorporates concepts found in farming, business, and marketing. The student is given a set amount of money with which to purchase a vineyard and grow crops. The outcome is based on several choices made by the student.

Virtual Laboratory in Probability and Statistics. Kyle Siegrist's Virtual Laboratory offers interactive Web-based modules for teaching and learning probability and statistics in grades 9-12. The site includes Java applet toss dice, draw balls, and other experiments where students can have fun manipulating variables online.

Virtual Museum of Computing (VMoC). Jonathan Bowen's Virtual Museum of Computing (VMoC) is a comprehensive and an eclectic collection of links connected with the history of computing and online computer-based exhibits worldwide. The site is suitable for grades 9-12.

Visual Calculus. Larry Husch's Visual Calculus is a collection of modules which can be used in the study or teaching of calculus for AP high school classes. Topics covered are pre-calculus, limits and continuity, derivatives, applications of differentiation, integration, applications of integration, and sequences and series. The site provides tutorials, interactive materials, quizzes, and drill problems.

Visual Dictionary of Plane Curves. Xah Lee's Visual Dictionary of Plane Curves provides a wealth of information about plane curves for grades 9-12. It covers the history, description, formulas, and propreties of about 30 curves. The site is heavily enhanced with illustrations, QuickTime movies, Geometer's Sketchpads, and Mathematica notebooks. You'll also find visual symmetry examples at Lee's Tilings and Patterns featuring wallpaper designs using geometrical motifs.

Visualization of Elementary Math. Dickinson State University's Visualization of Elementary Math Web site for students in grades 1-6 contains interactive math tables providing basic facts practice in addition and multiplication as well as practice in double-digit addition. In addition, the site offers interactive visuals providing practice in comparing fractions and adding and subtracting fractions. Each interactive tool includes instuctions on how to use it and teacher information in the "didactic pages".

Wall Street Sports. The Wall Street Sports, suitable for grades 9-12, is a stock market simulation where you can buy and sell fantasy shares of your favorite athletes from all your favorite sports. Students can buy shares of Jordan, Tiger or Gretzky, and trade them as they would Microsoft, Apple, or Disney. If students manage a successful portfolio, and if they're eligible, they can win prizes such as autographed sports memorabilia, t-shirts, and trading cards.

Way Cool Math Projects. Maria Swayne, a teacher at the Corona Avenue School in Bell, California, provides a variety of monthly math projects for students in grades 4-12.

Web Based Projects. The University of Richmond provides a collection of online student projects created by their pre-service teachers for grades K-6. To find Web-based projects for math, scroll to "Mathematics Projects" in its index page for all the student projects.

Web Classroom Times Tables. The Web Classroom provides online straightforward times tables practice for elementary school students. Students are posed with a problem, prompted for an answer, and then told whether correct or not. If correct, they are given a trivia question which helps extend general knowledge and adds interest to the task of memorizing the tables.

WebMath. WebMath provides instant solutions to hundreds of math problems for students in grades 3-12. It generates immediately answers to their specific math questions from the problems that they enter. The site also shows them how to arrive at an answer and provides a step-by-step solution. Students can find answers to a wide variety of math problems for everyday math, units conversion, graphing, polynomials, quadratic equations, word problems, computational problems, finding factors, GCFs,and LCMs, addition to division fraction problems, simplifying expressions, and even calculus derivative problems.

Where is your Birthday in PI? Jonathan Katz's site shows you where your bithday falls in this long number. For example, if you were born Mar 21th 1985, enter 32185 (no spaces), the computer will tell where you are in pi. Also, Dave Andersen's Pi-Search Page, with 50,000,000 digits and not restricted to birthdays, lets you find just about any number in pi. These sites are suitable for grades 5-12.

What's New: Interactive Addition and Multiplication Tables. A+ Math's interactive addition and interactive multiplication tables provide online basic fact practice as well as number pattern recognition for students in grades 1-5.

Willoughby Wanderings. Willoughby Wanderings offers a variety of interactive multiplication and division tutorials and drills for students in grades 3-6.

Women in Math. The University of Oregon's Women in Math Web site consists of an extensive collection of biographies on women mathematicians for grades 7-12. The site is organized alphabetically, by last name of the woman mathematician.

World of Escher. The World of Escher contains nearly 50 of Escher's works in thumbnail form, each with an enlargement facility. These interesting pictures can be used to illustrate tessellation, symmetry, and impossible objects. Middle school students can also find and write about impossible pictures or objects. Another similar site is Bill Church's Escher Art Gallery.

World of Numbers. Patrick De Geest's World of Numbers contains recreational topics on the theory of numbers from palindromic numbers to circular primes for grades 9-12. Also, Charlton Harrison's Binary/Decimal Palindromes page contains a list of numbers that are palindromes both in their binary and decimal represenations.

Yahoo's Mathematics Directory. Yahoo provide a extensive collection of math sites organized by category for grades K-12 and college teaching. Useful categories and topics for grades K-12 include algebra, calculus, K-12 education, K-12 teaching, geometry, pre-algebra, and problems, puzzles, & games.

Yazoul's Number Wall. Yazoul's Number Wall from Disney Interactive provides an online addition game for grades 2-6. Students have to complete the equations three separate times to escape the palace dungeon. To play this game, you must download Macromedia's free Shockwave plug-in.

Your Weight on Other Worlds. Your Weight on Other Worlds lets you find out your weight on other planets, moons, and stars while learning about the difference between mass and weight. Did you know that if you weigh 100 pounds here on Earth, you'll weigh under 40 pounds on Mars? The site is suitable for grades 4-12.

Young Investor Web Site. Liberty Financial Companies' Young Investor Web Site provides a variety of interactive resources to help teach students in grades 7-12 about money matters and investing.

Zero Saga and Other Stories. Hossein Arsham's Zero Saga and Other Stories presents the history of and fallacies about zero and other sites about numbers and number curiosities. The site is suitable for grades 8-12.

Zini's Activity Pages. Zini's Activity Pages, provided by *Spectrum*, the family Internet magazine, contains a collection of 28 printable math-readiness activity pages for kids ages 4-7. The site includes coloring, cut and paste, dot-to-dot, maze, same and different, and tracing pages.

Zona Land. Zona Land provides illustrated information on a variety of math topics in the More Mathematics than Science section. Topics include functions, graph paper, quadratic formula, trigonometry, geometry, fractals, and VRML. The site is suitable for grades 8-12.

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