 Knot Magic Not Magic
(MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
Sometimes what looks like an impressive knot isn't a knot at all. Magicians and escape artists are experts at tying phony knots. Though magicians like knots that can fool people, mathematicians are mostly interested in real knots, especially knots that
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 Knots (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
A mathematical knot is a knotted loop (a knot that can be unknotted is called an unknot). Two knots are considered equivalent if it is possible to rearrange one to the form of the other, without cutting the loop and without allowing it to pass through
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 Knots on the Web  Peter Suber, Earlham College
A comprehensive list of knot resources on the Web c2004, annotated and organized into three categories: knot tying, knot theory, and knot art. Also Knot books and a Knots Gallery displaying images from the newsgroup rec.crafts.knots.
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 Knotted Walks  Ivars Peterson (MathTrek)
Given that it normally takes some effort to create a knot, the spontaneous formation of knots in ropes and strings can appear rather puzzling. Having no obvious explanation of the effect, frustrated users can't help but acknowledge this knotting phenomenon
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 Knot Theory  ThinkQuest 1997
A short course on knot theory, including tutorials on the basics, knot invariants, knot properties, and knot arithmetic; biographical information on historical and contemporary figures working with knot theory; applications of knot theory; a discussion
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 Knowing, doing, and teaching multiplication (Learning and Mathematics)  Magdalene Lampert; Math Forum
In this 1986 article Magdalene Lampert, of the Institute for Research on Teaching at Michigan State University, advocates incorporating students' intuitive knowledge about mathematics into classroom lessons. Like Richard Lesh, she encourages putting new
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 Knowledge Adventure
A developer and publisher of interactive multimedia products for kids and educators. Products include the Blaster Series (Math, Spelling, Writing, Reading), FisherPrice Ready for School, JumpStart activities for elementary grades, and Kaplan Higher Scores
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 Knowledge Online Services  Knowledge Online Services
Online tutoring services for all the subjects in grades K12 and undergraduate college level. Free trial session.
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 The Knowledge Tree, Inc.
3D modelling and mathematics software, for a wide range of educational levels. Dealers for Aspex Software, Greygum Software, and the Math Circus programs.
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 Know Your Roman Numerals  George W. Metz
"What a Roman Legionary needs to know in order to count in Ancient Rome": a chart of numbers, with their names in Latin and the corresponding Roman numerals.
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 Kognitia  Kognitia
Through games such as K Tycoons, Kognitia offers classrooms challenging competitions with other classrooms. Take a guided tour; register online.
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 Ko's Journey  Scott Laidlaw and Jennifer Harris, Imagine Education
A webbased middle school math game, animated in 3D, for school or home use. Track student progress through this NCTM Standardstabled, storybased adventure. Try a demo; purchase licenses tailored for individuals, classrooms, schools, or homeschooling.
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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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 "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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 KryssTal: Mathematics  Kryss Katsiavriades and Talaat Qureshi
Essays with worked examples: numbers, algebra, Pascal's Triangle, trigonometry, logarithms, graphs, calculus (differentiation), and more.
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 KS3 Maths Homework Series  Stafford Burndred; Pearson Publishing (U.K.)
A series of 6 homework packs providing 180 different homework sheets covering levels 38 of the UK National Curriculum (ages 1114). Each pack addresses a separate level, and exercises use a speed marking system so that a full class can be marked in about
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 KSEG  Ilya Baran
KSEG is a Linux program for dynamically exploring Euclidean geometry. Create a construction, such as a triangle with a circumcenter; drag its vertices, and its circumcenter moves accordingly in real time. Features include a fast core to support large
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 Kumon Math & Reading Centers
Individualized, selfpaced, mastery learning programs for math and reading, offered at the center or by correspondence. The Kumon method emphasizes practical skills rather than theoretical concepts and focuses on selflearning. Students receive daily
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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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 Kuutigo  Sakari Rosenqvist, Osmo Kotonen, Rosentwist Oy
KuutigoŽ is a Finnish educational and recreational game designed for practising exercises in mathematics and vocabulary. At the same time, it develops logical thinking, motor skills, and concentration and memory. Manufactured completely in Finland, the
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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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 language and literacy: Mathematics  John Bald
The author of The Literacy File and Using Phonics to Teach Reading and Writing, Bald teaches reading, writing, and foreign languages in the UK. His blog posts, which date back to August, 2008, have included "Language, understanding and confidence in maths,"
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 Language and Mathematics (Learning and Mathematics)  Cocking, Chipman; Math Forum
In their 1989 paper, "Conceptual Issues Related to Mathematics Achievement of Language Minority Children," Cocking and Chipman examine the mathematical ability of language minority  particularly bilingual  students, attempting to identify linguistic
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 La Petite Galerie du CRM  Centre de Recherches Mathématiques
A gallery of the research activities from the CRM. Contour plotting in Java  available in both French and English; also A Collision of Two KdV Solitons, L'avion Aurora, Montréal vue de l'espace, Fusion de données, Signatures radars et infrarouges
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 Large Numbers and Infinity  Math Forum, Ask Dr. Math FAQ
What's the largest number? What's a googol? How do we name large numbers? What is infinity?
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 The Largest Known Primes  Chris Caldwell
An integer greater than one is called a prime number if its only positive divisors (factors) are one and itself. Primes are the building blocks of the positive integers: every positive integer is a product of prime numbers in one and only one way, except
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 The Late Professor Morris Kline  Mark Alder
Read Kline's books Why Johnny Can't Add and Why the Professor Can't Teach; his lecture "Pea Soup, Tripe, and Mathematics"; and a bibliography of his publications.
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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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 Latest posts from Math  Teach For Us
Math teacher blogs from the "network connecting Teach For America (TfA) corps members and alumni who share their stories about ensuring an excellent education for all children." Posts, dating back to July, 2006, have included "what do I need to do to
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 The Latino Connection  Pedro RuízGarcía
A page designed to simplify the search for information on Latino/Hispanic countries. Individual country pages with links to country's history, culture, maps, travel and tourism, arts, cuisine, higher education, and other related Web pages, newsgroups,
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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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 Latitude/Longitude Position Finder  Juggling Information Service
Identify the latitude and longitude position of any point within the contiguous United States by clicking on the map to zoom in on the area.
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 The Laughing Mathematician  Thomas Woolley
Humorous blog begun April, 2011, by a researcher of mathematical biology at the University of Oxford. Posts "that make me laugh or have a mathematical flavour (hopefully, both)" have included "Mathematical biology. Create you own Turing patterns," "Finding
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 Launch into Math  C. Halter
A project created to further student understanding about the Internet, its resources, and the NASA Space Shuttle program. SpaceMath activities are provided for geometry (measure area and distance in space photographs); algebra (use the math that keeps
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 Law and Mathematics  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about law and mathematics, such as "How do lawyers use math?"
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 Lawrence Hall of Science (LHS)  University of California, Berkeley
A science museum and research center at the Univ. of California, Berkeley, dedicated increasing public understanding and enjoyment of science, and to improving precollege science and mathematics education. Teacher education, exhibits, public programs,
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 Laws of Thought  Keith Devlin (Devlin's Angle)
"What Zeno of Citium actually did was found the Stoic school of logic. Though modern mathematical logic is popularly credited as having its beginnings in the syllogistic logic of Aristotle, most of the fundamental notions of contemporary propositional
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 Álbumes Ilustrados Sobre Ciencia  Verónica Navarro
Álbumes ilustrados de geometría y arte abstracto como lo de Joan Miró, Paul Klee, y Wassily Kandinsky: La rebelión de las formas hace un itinerario por la geometría, la física, y el arte en un intento de reflexionar
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 LCM, GCF  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about least common multiple and greatest common factor, along with stepbystep explanations.
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 LD Online, the interactive guide to learning disabilities for parents, teachers, and children
A vast array of information on topics within the area of learning disabilities, LD InDepth offers articles, research findings, and useful forums, including an area specifically devoted to dyscalculia, or learning disorders in math. See also 10 Tips
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 Leader of the Year Contest  Technology & Education
This program recognizes and honors K12 teachers, technology specialists, and administrators who use technology in innovative ways to motivate students and enrich learning. Submit yourself or a colleague for consideration.
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 Leadership Development for Technology Integration  the Math Forum @ Drexel
The Math Forum @ Drexel has a grant from the National Science Foundation to introduce middle grades mathematics teachers to software tools from the NSDL (National Science Digital Library). We wish to both introduce new technology resources to the broad
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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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 Learn.co.uk  Guardian Education Interactive Ltd.
Interactive resources for learners to support Great Britian's national curriculum. Selfguided lessons, with glossaries and selfassessments, for key stage 2, key stage 3, or key stage 4 cover numbers; shape, space, and measurement; handling data; algebra,
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 Learner Online  Annenberg Media
The Annenberg/CPB Project leads in helping schools and community organizations use telecommunications technologies to improve learning for all students. Since 1991 the Annenberg/CPB Math and Science Project has funded the development of print and electronic
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 Learn Fractions with Cuisenaire Rods  Molly Silha
Pages that teach fractions using manipulatives: Cuisenaire Rods, a collection of rectangular rods, each of a different color and size, the smallest 1 centimeter long and the longest 10 centimeters long, help students visualize problems, making them easier
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 Learning About Nutrition Using the TI73 and the Web  Margo Lynn Mankus
A lesson in three parts: a warmup to introduce students to the Food and Drug Administration's (FDA) concepts of recommended daily allowances (RDA), the food pyramid, and nutrition labels; an analysis of the nutrition label for a deepdish pizza, with
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 Learning and Mathematics  Math Forum
Newsgroup discussions among mathematicians, math teachers, and students of educational psychology on the Math Forum's newsgroup geometryprecollege, inspired by recent work on how students learn mathematics. With five related annotated bibliographies.
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 Learning by Logic: Total Surface Area (SMILE)  Carolyne Boyd, Bennett Elementary School
A lesson designed to teach students to calculate the area of plane surfaces using the formulas for the area of a square, rectangle, and triangle; develop the formula for calculating (and calculate) the total surface area of a cube and a rectangular prism;
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 The Learning Community  Stanley, Sarah; Allee, Angie; Mills, Connie; and Flanagan, Melissa
Dedicated to giving parents "... the information and resources they need to raise their children lovingly, supportively, and successfully." Since 1993, the nonprofit Learning Community has helped schools and families work together on behalf of children.
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