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.

[ top ]