 Infinite Sums  Claydon
Blog by a high school math teacher in Houston, Texas, who "decided the corporate engineering world was not for me, so now I joke around with teenagers and teach them math. And soccer." Posts, which date back to June, 2011, have included "Standards Based
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 Information on Pentomino Puzzles  Frank Ruskey; Dept. of Computer Science, Univ. of Victoria, B.C., Canada
A pentomino is an arrangement of 5 unit squares (or sometimes cubes) that are joined along their edges. Up to isomorphism (rotating and flipping), there are 12 possible shapes, which are illustrated. Each piece is labelled by the letter that most accurately
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 INFORMS OR/MS Resource Collection
 Michael Trick, Carnegie Bosch Inst., Grad. School of Indust. Administration, Carnegie Mellon Univ.
An organized listing of sites concerned with the field of operations research, the technique of using modern scientific models to predict and compare the outcomes of complex systems, considering factors such as change and risk, with links to: FAQs; Societies;
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 Inquiry maths  Blair, Andrew; and Martin, Caitriona
Inquiry prompts for topics related to number, algebra, and shape to use in secondary school mathematics. Accompanying notes support teachers who "want to make their lessons more open and, thereby, encourage student independence and leadership."
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 Inquisitive Problems  B.S. Rangaswamy; Math Forum Teacher Exchange
Two collegelevel problems on numerals, Palindrome Cube and AL Perplex5, from the author's soontobepublished work, Wonders of Numerals, submitted to the Math Forum's Teacher Exchange. You are invited to send in your answers.
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 The Insight Method of Teaching Math  Robert Frick
How and why to teach math via mental models, as articulated by a cognitive psychologist who describes the "learning is memory" approach as "a disaster and a tragedy." See, in particular, Frick's sample problems: reverse arithmetic, expressing patterns,
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 Integer Programming in Recreational Mathematics  Martin J. Chlond
A collection of puzzles, each of which may be formulated and solved using integer programming. The puzzles are intended to give practice to students in the formulation of IP models, to stimulate interest, and to demonstrate the variety of structures that
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 Interactive Algebra  Robert Bunge
Java applets that allow you to practice your equations, factoring, and graphing skills, with multiple levels in each category. The applet generates random problems, which you work on paper, and you can check your answers when you're ready. Hints are also
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 Interactive Course on Projective Geometry  Juan Carlos Alvarez Paiva; Polytechnic University, Brooklyn, NY
An interactive, discoverybased course on projective geometry. Lecture notes, sample exams, applets, and a list of recommended reading are provided.
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 Interactive Games  Cathleen J. Chamberlain and Mark Cogan, Oswego City School District
Design matching games and quizzes. Premade games include Ghost Blasters and Sum Sense, for practicing arithmetic; Banana Hunt, for estimating angle measures; Bang on Time, Class Clock, and Stop the Clock; Billy Bug, for learning coordinates; Fraction
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 Interactive Geometry with JavaSketchPad  Bryan Dye; MathsNet
Java applets illustrate geometrical figures (circle, cuboid, equilateral, isosceles, and scalene triangles, kite, parallelogram, regular hexagon, octagon, pentagon, quadrilateral, square, rectangle, rhombus, trapezium); show what is meant by congruence,
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 Interactive Mathematics Online  ThinkQuest 1996
Algebra (Postulates  Things you can do with equations and inequalities, Function Basics and Simple Graphing, Kinds of functions (periodic, odd, even, etc.), Function Squashing); Geometry (an introduction, applications, glossary, sample problems); Trigonometry,
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 The Interactive Physics Problem Set  UC Berkeley Instructional Technology Program
This web site contains almost 100 practice problems for physics students. They're accompanied by detailed solutions and interactive computer experiments. (The computer experiments only run on Macintosh computers that have Interactive Physics II installed,
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 Interactive Precalculus Modeling  Leon La Spina & Students; Bethpage High School, Long Island, NY
An online precalculus curriculum, with problems illustrating a variety of applications, many including detailed solutions and some others with interactive animations. Precalculus modeling refers to the process of finding functions that predict and describe
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 Interactive Tests  Ron Knott
Ron Knott has begun producing Mathematics A and AS Level tests for the independent UK curriculum development body, Mathematics in Education and Industry. The webbased format of the tests let you view a problem and then: choose an answer from a multiple
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 The InterFACE: Internet Fractal and Chaos Education  ThinkQuest 1997
Lessons, games, activities, demonstrations, and software, to inform users of the science and mathematics behind fractal images and chaos theory. The lessons, identified by subject and level of difficulty and including quizzes, are designed to promote
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 Interior Design (SMILE)  Sally Hill, Horatio May Community Academy
A lesson for grades 46 designed to teach students to calculate area and perimeter in inches. From the Geometry and Measurement section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 InterMath  The University of Georgia
InterMath is a professional development effort designed to support teachers in becoming better mathematics educators. InterMath workshops provide an ongoing support community, a lesson plan database, and a discussion board. The site provides mathematical
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 International Mathematical Olympiad (IMO) / Olympiade internationale de mathématiques (OIM)
The World Championship Mathematics Competition for High School, which takes place each year in a different country. Its membership (by invitation only) has gradually expanded to over seventy countries from all five continents. Latest competition results;
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 International Mathematical Olympiad  John Webb
Search or download problems from every year of the International Mathematical Olympiad (IMO), dating back to the first competition, in 1959. Problems from 20032005 may be downloaded in Spanish as well as English; and from 2006 forward, in dozens more
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 International Mathematical Talent Search (IMTS)  Bela Bajnok; Canadian Mathematical Society (CAMEL)
A competitive yearround correspondence program in creative mathematical problem solving at the secondary school level, open to all students in every country at no cost. Problem rounds are available in HTML and PDF formats. The program parallels the USA
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 International Mathematics Olympiad (IMO)  IOI Secretariat; Eindhoven Univ. of Technology
The annual mathematics competition for high school students, the oldest of the International Science Olympiads (the first IMO was held in Romania in 1959). The problems come from various areas of mathematics, such as are included in math curricula at
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 Internet Math Challenge  Dept. of Mathematics, University of Idaho
A weekly K12 math challenge from the math department at the University of Idaho, discontinued in 2004. Past puzzles and solutions are available.
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 Internet Olympiads in Mathematics and Physics  Moscow Institute of Physics and Technology (MIPT/Phystech)
Internetbased, free for all, Olympiads in Math and Physics from coaches of winning International Olympiad teams. Problems (with solutions) will be posted and offered to MIPT's 3,600 students and to about 16,000 of MIPT's prospective students in their
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 Internet Problem Solving Contest  Faculty of Mathematics, Physics and Informatics, Comenius University, Slovak Republic
The Internet Problem Solving Contest (IPSC) is a computer programming contest for teams consisting of up to three people. Teams participate via the Internet. Each problem consists of a problem description and two input data sets. Questions tend towards
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 Introduction à l'algèbre  Gilles G. Jobin, Projet Diderot
An interactive course, with extensive use of the Geometer's Sketchpad. Sommaire: Introduction générale; Conseils techniques; Test diagnostique (En chantier); Définitions et vocabulaire; Représentation sur la droite numérique;
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 Introduction to Algebra (The Math League)  Mark Motyka; Math League Multimedia
A Math League basic topic. Contents include: Variables; Expressions; Equations; Solution of an equation; Simplifying equations; Combining like terms; Simplifying with addition and subtraction; Simplifying by multiplication; Simplifying by division; Word
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 An Introduction to Continued Fractions  Ron Knott
Continued fractions are just another way of writing fractions. They have some interesting links with a jigsawpuzzle problem of splitting a rectangle up into squares and also with one of the oldest algorithms known to mathematicians  Euclid's Algorithm
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 An Introduction to Pi and the Area of a Circle (SMILE)  Edwina R. Justice, Gunsaulus Scholastic Academy
A lesson for grades 57 that uses a phenomenological approach to observe and discuss the relation between circumference and diameter and how that relation, called pi, is used in the formula for the area of a circle. From the Geometry and Measurement section
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 An Introduction To Volume (SMILE)  Linda James Woods, Harold Washington Elementary School
A lesson for grades 35 designed to teach students about volume, using a variety of containers, potting soil, popcorn, etc. From the Geometry and Measurement section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative
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 Introductory Statistics Demonstrations  David Wallace; Ohio University
Animated problems illustrating basic statistics concepts such as Variance and Standard Deviation, ZScores, Sampling Distributions, Standard Error, Confidence Intervals, Power, and ANOVA. With a basic review of algebra and interactive problems and solutions
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 invention at play  Lemelson Center, Smithsonian National Museum of American History
Rotate and translate the tangramlike pieces of Puzzle Blocks to form the silhouettes shown; arrange the gears, springs, funnels, and other objects of Tinker Ball to divert the falling ball into the target. The Invention at Play exhibition focuses on
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 Inventor's Paradox  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A page that looks into different ways a specific statement may be related to a more general one. Pairs of statements in which: one is a clear generalization of another, whereas in fact the two are equivalent; one is a clear generalization of another and
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 Investigating Linear Relationships: The Regression Line and Correlation (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation. Interactive computerbased tools allow students the opportunity to manipulate numbers easily and investigate the relationships between data points and sets. This iMath Investigation uses an interactive
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 Investigating Patterns: RUBBER Geometry (Topology)  Jill Britton
Selected web pages for educators, each leading to recreationoriented learning experiences for middle school students. Topics include: Topology / Anamorphic Art; Jordan Curves / Mazes / Networks / Map Coloring; MatheMagic / Mobius Strip; Flexagons.
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 Investigations in Mathematics  Eric S. Rowland
Openended problems for high school and college students to "approach creatively and in their own way": Pascal's simplices ("What is the generalization of Pascal's triangle?"), Pythagorean triples, regular polygons ("What is the area of a regular polygon
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 Investigations in Projective Geometry  Dwayne Alvis and Wanda Nabors
How threedimensional scenery is reproduced on a twodimensional piece of paper. Construction exercises and a Geometer's Sketchpad file to download.
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 Invitation to MasterMind  Cut the Knot!, Alexander Bogomolny, with Don Greenwell
Mastermind is a game played by a codemaker and a codebreaker. The codemaker selects a code, a sequence of four colors (digits, pegs or other symbols) chosen from a set of six colors (repetitions allowed). The codebreaker will then try to guess the code.
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 iP  Interlocking Puzzles
Purchase hand crafted hardwood interlocking puzzles made with precision from domestic or exotic hardwoods. Altekruse, Burr, Pentominoe, Polyhedra, Rhombic, Stewart Coffin, Tetrahedron, and Wooden Knot puzzles. Order via email.
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 IPNet: Inverse Problems Network  Patricia K. Lamm, Michigan State University
A network for researchers working on inverse and/or illposed problems, inverse methods, and data inversion methods, including applications to tomography, systems identification, nondestructive evaluation and nonlinear evolution equations. IPNet promotes
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 iPracticeMath
Type in your responses to iPracticeMath's online multiplechoice questions, and press the orange "submit" button to check your answers: addition, subtraction, multiplication, division, algebra, "word to number" (interpreting writtenout quantities), and
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 It Can Take a While to Wander Home (Math Chat)  Frank Morgan, MAA Online
Solution to the challenge: How fast do you get home with a random walk on the line? in the plane? in threespace? in nspace? Eric Brahinsky reports that the median number of steps to get home is 24 on the line, about 32 in the plane, and infinite in
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 Iterated Prisoners' Dilemma  Delayaye, Mathieu, Beaufils
A comprehensive source of information on the Iterated Prisoner's Dilemma, and on the representation, study of, and knowledge about cooperation (and evolution of cooperation) between agents. Strategies, references (papers in English and French, bibliography),
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 IUP Annual Mathematics Competition  Gary Stoudt
A mathematics competition for high school students sponsored by Indiana University of Pennsylvania. Topics include algebra, geometry, and trigonometry. Registration forms may be found online, and previous competitions may be downloaded in PDF, PostScript,
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 IXL Learning
IXL provides free online practice, organized by grade levels K8 and aligned to state standards. Choose one math skill from among the hundreds offered, and submit your answer. Respond incorrectly, and click on the "explanation" button to learn more; get
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 Jaap's Scratch Pad  Jaap Scherphuis
Java applets, generators, and solutions for sudoku, Rubik's Cube, "moving pieces" puzzles, permutation puzzles, and more, including sphere symmetries, polyform, Towers of Hanoi, and many lesser known puzzles from this collector. Scherphuis' articles range
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 jackmathsolutions.com  Jack Koenka
Freely download individual chapters of the AP Calculus AB textbook coauthored by Koenka and Roger Allen. Download problem of the week documents, sample test and assignments, notes, worksheets, and other instructional resources. Koenka invites students
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 Jacopo Notarstefano
Interactive visualizations and puzzles: "Turing's sunflower," which connects leaf arrangements and Fibonacci numbers; "HavelHakimi," which presents nodes and their degrees to construct into a graph; "Fourcoloring a Dodecahedron"; and a logic puzzle
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 James Propp
James Propp studies tilings, games, and other aspects of combinatorics, probability, and dynamical systems. Many of his articles are available for download in PostScript and gzipped PostScript formats. Code for C programs related to tilings and cellular
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 janko.at  Angela and Otto Janko
Puzzles, games, and Java applets on logic, number, and chess. See also the Jankos' Retrograde Analysis Corner and analyses of legal moves in chess.
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