 John Conway's Game of Life  Stephen Stuart
The Game of Life is played on a field of cells, each of which has eight neighbors (adjacent cells). A cell is either occupied (by an organism) or not. The rules for deriving a generation from the previous one are these: Death  If an occupied cell has
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 John Mason's Projects  John Mason
Projects by the author of Thinking Mathematically and former director of the Centre for Mathematics Education: Structured Variation Grids and other animations and applets; studies in algebraic thinking; mathematical explorations; MEMEs (Meaning Enquiry
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 Join the Dots: a Math Line Puzzle  Math Forum
Can you connect 9 dots laid out 3x3 using 4 straight lines, without lifting your pencil from the paper? Questions, hints, solution.
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 Joseph Malkevitch's Home Page  Joseph Malkevitch, York College (CUNYThe City University of New York)
Malkevitch's interests include geometry (polytopes, graph theory, tilings, etc.), discrete mathematics, and mathematical modeling (especially models dealing with fairness and equity issues and codes of all kinds). Most of his research concerns using combinatorial
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 The Josephus Problem  Doug Ensley, Shippensburg University
Explore the problem online, varying the number of people to start and the number to skip: participants arrange themselves in a circle. One is designated number one, and you proceed clockwise, removing e.g. every seventh person. Where should you sit to
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 Josephus Shuffles  Doug Ensley, Shippensburg University
Named for its relationship to the socalled "Josephus Problem," Josephus shuffles mix up a deck of cards in a peculiar way. This interactive page allows you to investigate the final order of the cards for various values of n and k.
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 Joy of Problem Solving  Deepak Kulkarni
Math olympiad programs for elementary and middle school kids by a Ph. D. in computer science and former NASA researcher. See, in particular, the section of Kulkarni's site entitled "How to Work on Problems," which includes essays such as Problem Solving
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 juegosdeingenio.org  Ivan Skvarca
"Un sitio dedicado a los juegos, los acertijos, las paradojas, las diversiones con el lenguaje, los números y las figuras, los ambigramas y todo aquello que maraville y deje perpleja a la inteligencia."
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 JuniorHighMath.com
Free printable worksheets from a middle school teacher: algebra, one variable; algebra with coefficient; twostep algebra with addition; twostep algebra with subtraction; exponents; Pythagorean Theorem; and circles.
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 Juniorszone
A provider of online primary school education offering literacy, numeracy keystage2 strategy based on the UK national curriculum. Areas include e learning, educational games, interactive learning, brain teasers, homework help, and free online tutorials.
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 Just a Usual Day at Unusual School (MegaMath)  Nancy Casey; Los Alamos National Laboratory
Students perform a play that takes place in a school where some of the students always lie and the rest always tell the truth. Terry, the protagonist, is trying to find out which students are which, but at the beginning, there is no way of knowing whom
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 JustMaths  Seager, Christian; Khawaja, Faisal; Muldowney, Melanie
Video tutorials, practice exam questions, and other intervention resources created by three teachers practicing in the UK Midlands. Free resources include "trumps" and exam questions in algebra, data handling, geometry and measure, number, and more. Blog
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 K5 Learning  Roy Zanatta
K5 Math and K5 Math Facts are online learning programs for after school study, summer study, and homeschooling. The K5 Math online enrichment program consists of a free math assessment and over a thousand curriculabased, interactive tutorials and quizzes.
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 Kakuro Puzzles  JAKRO Soft LLC
Free printable crossword puzzles that use sums instead of spellings, offered at difficulty levels of easy, medium, hard, and "evil." See also JAKRO's apps and page of tips for solving kakuro.
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 Kalva  John Scholes
Problem sets, with solutions, including a complete set of all International Mathematical Olympiad problems beginning with the first IMO in 1959. The site also includes a large set of Russian Olympiad problems, Putnam problems since 1938, Newman problems,
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 Kamanaga  Madhusudhan Nagarajan
Addition, subtraction, multiplication, and division worksheets to print out or to solve online interactively. Choose adding problems with or without "carrying," subtracting questions with or without "borrowing," and practice dividing with or without remainders.
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 Kangaroo Maths  Kangaroo Maths Ltd
Free maths resources to download in number, algebra, shape and space, and data handling. Assessments include homework sheets and "make the grade" tests; games and puzzles offer World Cup spreadsheet simulations. Kangaroo Maths also hosts Microsoft Word
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 KappAbel  Roald Buvig
Problems from a competition open to pupils in 8th grade in Sweden, Finland (including the Aaland Islands), and Denmark (including Greenland and the Faroe Islands), and ninth graders in Iceland and Norway. See, in particular, the English language weekly
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 Karla Hoffman
A specialist in operations research and combinatorial optimization. Papers in PDF, PostScript, or HTML formats include articles on airline scheduling, set covering, and the traveling salesman problem. Resume and curriculum vitae and syllabus, project,
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 Ka's Geometriepage & MatheGalerie: Grundschulmathematik  Monika Schwarze
Eine Seite zur Grundschulmathematik mit SoftwareTipps. Links zu Mathematikunterrichtseinheiten für Grundschulkinder der Klassen 1 bis Klasse 4; Freiarbeitsmaterialien und kleinen Unterrichtsprojekten. A German Web site for teachers and lovers of geometry,
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 Keep the Traffic Moving!  Dept. of Mathematics, University of Toronto, Canada
Be your own traffic engineer and use this computer simulation to find out how far apart to space the light changes for a given scenario. Includes mathematical models and related questions.
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 KenKen  Nextoy, LLC
KenKen is a sudoku variant invented by Japanese mathematics teacher Tetsuya Miyamoto. This site offers puzzles at various levels of difficulty to get you started, as well as rules, tips, news, related products, and KenKen programs for your mobile device.
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 Ken Shirriff
A researcher at Sun Microsystems. Annotated bibliographies on fractals and cryptography, and related papers, which may be downloaded in PostScript format. Graphics of Voronoi fractals (dividing the plane into regions closest to a given point) and fractals
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 Ken's Puzzle of the Week  Ken Duisenberg
A weekly puzzle for advanced high school or college level, with a math, geometry, or game focus. The problems are easy to understand but tricky to solve. An archive of previous problems and solutions is included, together with a list of other puzzle sites
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 Key Curriculum Press
Publisher of innovative texts and software applications for teaching mathematics including the Geometer's Sketchpad (dynamic geometry), Fathom (dynamic statistics), TinkerPlots (dynamic data exploration and analysis), Michael Serra's textbook Discovering
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 KeyedIn Magazine  nelsonthornes.com
Weekly puzzles, quizzes, features of great mathematicians, fun with numbers, and strategy games. An Internet quest and "the serious stuff" offer selfscoring problems. Teacher resources provide links and ideas for each chapter of the Nelson Thornes Key
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 Kids Activities  Barak Bezalel
Freely downloadable illustrated PDF worksheets.
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 Kidsmath  About.com
A guided portal to the world of kids' internet math sites. Includes links to math sites categorized by level and topic; math newsletters (which typically highlight a group of sites on one topic, with associated articles); discussion forums; monthly problems
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 KidsNumbers  The KidsKnowIt Network
KidsNumbers' most popular singleplayer games count down against a clock: Add It Up, Lake Mathatobie (addition), Turkey Terminator (fractions), Number Drop (basic operations set to a Tetrislike challenge), St. Pat's Math Adventure (basic operations).
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 Kid's Page Archive: Free Printable Math Worksheets  Tracey Smith
Free printable math worksheets for prek through 5th graders.
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 The Kid's Pages  Rob Rogoski and Bill Pierson
Online "worksheets," each with 30 randomly generated problems in addition, subtraction, multiplication, or division. After submitting answers, get back a page of results that diplays your name, individual answers checked right or wrong, overall percentage
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 KinderIQ  Wade Luders
KinderIQ provides learning activities with immediate audio and visual feedback to help children master the earlychildhood skills needed in kindergarten. The company also provides freely downloadable PDFs of worksheets, activities, and learning games:
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 The Klein Project
Revisiting the intent of Felix Klein's Elementary Mathematics from an Advanced Standpoint on the centenary of its publication, this IMU/ICMIcommissioned project aims to produce a book for upper secondary teachers that communicates the breadth and vitality
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 KöMaL  Mathematical and Physical Journal for Secondary Schools  Hungarian Ministry of Education
A journal that first appeared on January 1, 1894. The best solutions with the names of the 1418yearold authors are printed. KöMaL regularly reports on national and international competitions, prints articles on interesting results in mathematics and
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 Knight Coverings for Large Chessboards  Frank Rubin
Knight coverings for square chessboards up to 26x26, and proofs of optimality for boards up to 10x10. The problem of how to cover a chessboard with the smallest number of knights has fascinated mathematicians and chess players for years. The problem is
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 The komplex plane  Travis Kowalski
Kowalski's problems, animations, tutorials, and other "mathlets" focus on calculus. See also the jokes collected by this professor at South Dakota's School of Mines, and his blog of math musings that wonder at the mathematics in everything from quilts
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 KrazyDad.com  Jim Bumgardner
Printable puzzles, mazes, games, and more from a selfdescribed "senior nerd" at Disney Interactive Labs: kakuro (aka cross sums, numeric crossword puzzles), krypto kakuro (a combination of kakuro and cryptograms), slitherlink, bridges (aka Hashiwokakero),
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 KRN Software
Free online games for Javaenabled browsers. Java Edutainment games require matching shapes and colors in Space Cargo and Cargo Bay, simple addition in Numeric Defenders, and odd and even number identification in Even Steven, Jr.
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 "Kryptos"  Central Intelligence Agency (CIA)
This page showcases the history and mystery of "Kryptos," a sculpture at the CIA by artist James Sanborn. See the Flash video introduction, and learn more about the sculpture, the code, and the artist. Textonly version available.
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 Kung Fu Science  Institute of Physics
Watch martial artist Chris Crudelli demonstrate to physicist Michelle Cain how she can break a wooden plank with one strike of her bare hand. Before actually attempting the feat herself, Cain applies Newton's laws and the conservation of energy to calculate
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 kwizNET Learning System  kwizNET Learning
Automatically generated quizzes and worksheets, based on widely recognized curricula. Includes progress indicators and award certificates to keep students motivated.
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 La Biblio
Una biblioteca de textos electrónicos. Los índices adjuntos permiten navegar por una gran diversidad de temas, todos ellos relacionados con el mundo de las Matemáticas a un nivel de bachillerato o superior. De una
recopilación
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 Laboratorio Virtual de Triángulos con Cabri  Ricardo Barroso Campos
In Spanish: triangle problems proposed, and solutions via Cabri are requested.
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 Labyrinth  Peter Kishalov
An online puzzle: choose the correct door to advance through the labyrinth, based on logic puzzles similar to those published by Raymond Smullyan in his book The Lady or the Tiger?.
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 The Ladies' Diary  Ivars Peterson (MathLand)
The Ladies' Diary: or, Woman's Almanack was published annually, starting in 1704. Printed in London, it featured the usual stuff of almanacs: calendar material, phases of the moon, sunrise and sunset times, important dates (eclipses, holidays, school
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 The Language of Mathematics  Warren Esty; Montana State University
A book and corecourse at Montana State University. Site provides a description of the philosophy behind the book, the methods used in the book and course, research results from studies of both, and information on ordering the book. Also a bio of the
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 Lateral Puzzles  Paul Sloane
Pose or solve lateral thinking puzzles, also known as situation puzzles, which depict a counterintuitive scenario to be explained by asking yesno questions or by proposing explanations. Read questionandanswer conversations of current and solved puzzles;
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 The Latin School of Chicago Middle School Problem of the Week  Tom Canright
Math and logic puzzles  many original, some reproduced from sources such as NCTM journals  with solutions presented in accompanying videos.
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 LearnBop  LearnBop INC.
Oneonone online tutoring for students; infographic progress reports for their teachers and parents. See, in particular, LearnBop's autoscoring playlists of algebra and other math problems, which offer "ask for help" buttons and stepbystep guidance.
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 LearnChem.net  boeschcomputing.com.au
Organic and physical chemistry AP topics, tutorials, tests and quizzes, practice problems, and tools.
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