- Numbersense Games - Hassan Baajour, Research Officer
Games for practicing clock time, counting, and more, developed at the London Knowledge Lab (LKL).
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- Numbers from 1 to 10 in Over 4000 Languages - Mark Rosenfelder
Click on the map to move to the languages for that area, or select from: Indo-European, Dravidian, and minor European languages; Afro-Asiatic, Caucasian, Nilo-Saharan, Kordofanian, and Khoisan languages; Niger-Congo languages; Uralic, Altaic, Tai, Austro-Asiatic
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- Numbers from One to Thirty-One: A Page for Each Day of the Month - Richard Phillips, Shell Centre for Mathematical Education
Trivia about the calendar numbers one through thirty-one. Based on the book Numbers: Facts, Figures and Fiction, which answers questions such as how Room 101 got its name, what you measure in oktas, and which number links Alice in Wonderland, rainbows
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- Numbers in the World (Math Chat) - Frank Morgan, MAA Online
Select the best occurrence in the world of each number from 1 to 10. For example, 12 is the number of eggs in a dozen or the number of months in a year... with winning reponses. Also: Math Chat has received a number of mathematical jokes, most of them
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- Numbers Made Meaningful™ - Naomi Halpern, TSI Productions
A collection of number literacy stories and games that gives pre-K children meaningful, tangible contexts to help them make sense of the abstract world of number symbols. Zero & Friends teaches children the names, personalities, values and relationships
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- Number: What Is "How Many"? - B. Sidney Smith; Math Academy Online/Platonic Realms
A "mini-text" introducing fundamental concepts in elementary number theory and the foundations of mathematics. Includes discussions of basic set theory; natural numbers; integers; rational, irrational, and real numbers. Also gives a brief list of suggested
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- Number World - David Geistert
Key in any positive integer less than 10^15 and press the "Look up" button for properties about it: factorization, divisors, cross sum, equivalence in multiple bases, and more. Number World's math tools include an equation solver, an equation system solver,
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- NUMDRUM - John T. Harrison
The "Numdrum" helps children understand addition, subtraction, and other fundamental arithmetic concepts. An alternative to the number line and the 10 x 10 number square, this "decimal helical number line" lists integers around a tube, ten to a turn,
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- Numerical Recipes in C: The Art of Scientific Computing - Books On-Line - Press, Teukolsky, Vetterling, Flannery; Cambridge University Press
An on-line book available in Adobe Acrobat or PostScript formats that outlines the method of organizing a program, and then provides the methodology and (copyrighted) source code in the C programming language for: linear algebraic equations, interpolation
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- Numericana.com - Gérard P. Michon
The online companion of Numericana, this site contains excerpts from Michon's book, including the entire glossary of scientific terms. Browse an index with pithy summaries, browse by popularity, or search nearly two hundred of his "final answers" of readers'
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- Numericon - School of Mathematical Sciences, University of Technology, Sydney, Australia (UTS)
Mostly elementary presentations of: Numbers we've all heard of; Perfect numbers; Facts about prime numbers; Australian cricket's 25 leading all-rounders; Pythagorean triples; Pi in the sky; 73939133; and Fermat's Last Theorem.
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- Nummòlt - Maurici Carbó Jordi
Java applets: an area "workshop," which explains area and division by converting numbers in area units; an architect's toy blocks, with gravity; connecting and programming elementary logic (in the form of pipes with light bulbs signifying true sentences);
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- Odd Day - Ron Gordon
Mathematical observations, original musings, news coverage, and cartoons in celebration of January 3, 2005 (1/3/5), July 9, 2011 (7/9/11), and other times when three consecutive odd numbers make up the date. Gordon, retired from teaching high school in
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- Old and New Arithmetic - Ivars Peterson (MathLand)
"Three merchants have invested their money in a partnership..." This problem appears in a mathematics textbook known as the Treviso Arithmetic. The original book, written in a Venetian dialect, had no formal title, and its author is unknown. Treviso is
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- On-Line Encyclopedia of Integer Sequences - The OEIS Foundation Inc.
Before publishing that new sequence you have just found, you might want to check here to see if it's already been discovered. Directions for how to look up a sequence in the table, abbreviations used, sending in a new sequence; how to look up a reference
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- Online Ideas Maths Resources - James Bancroft
Problems in Microsoft Word, HTML, and JPG, organized into general resources; addition and subtraction; multiplication and division; numbers and the number system; fractions, decimals, percentages, ratio, and proportion; real life problems; measure and
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- Online Math Applications - Leung, Jiang, Jiang, Chiu, Klopfer, Chiu; ThinkQuest Junior
Activities, examples, problems, and online quizzes about math applied to real world situations in investing (a stock market simulation game), music (classical MIDI files), history (biographies and anecdotes), science (astronomy, computers, 'math in the
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- On Roman Numerals
Learn the basics of Roman numerals and how to write them, from I (1) to M (1,000) and above. Also, submit an Arabic numeral and click to convert it into its Roman numeral equivalent; or vice versa.
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- Open-Ended Math Problems - Gwenn Holtz and Mary Lee Malen, Levering School and the Franklin Institute
An eight-month slate of open-ended problems for middle school students to solve in preparation for standardized testing. The authors have composed and selected problems that lend themselves to multiple solution paths, and then organized them into three
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- ostermiller.org - Stephen Ostermiller
Converters, Calculators, and JavaScript include Multiplication Game, in which letters represent digits in a multiplication problem; Length, which converts between units of length and distance; Roman Numerals, which converts between Arabic and Roman numerals;
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- Palindromic Numbers and Other Recreational Topics - Patrick De Geest
Many odd facts about big (and little) numbers, including circular primes and palindromic triangulars, tetrahedrals, squares, cubes, and primes. Also assorted odd puzzles, etc.
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- Panamath - Panamath.org
Have you ever tried to guess how many jelly beans are in a jar without counting? The Panamath test measures your number sense -- your intuitive recognition of numbers and their relationships -- and approximate number system (ANS) aptitude. Practice estimating
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- Papers by Dr. Bert K. Waits - Dr. Bert K. Waits
In PDF format, essays include "The Role of Hand-Held Computer Symbolic Algebra in Mathematics Education in the Twenty-First Century: A Call for Action!"; "The Role of Graphing Calculators in Mathematics Reform"; "The Evolution of Instructional Use of
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- Papers on the History of Mathematics - Gregory Cherlin, Rutgers University
A random selection of term papers submitted in undergraduate, one-semester courses on the history of mathematics. Topics include zero, Fermat, Euler, Newton, Euclid's proof of the Pythagorean Theorem, Fibonacci, Vieta, conic sections, mathematics at Princeton
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- Pascal's Fractals - Ivars Peterson (MathLand)
It's possible to convert Pascal's triangle into eye-catching geometric forms. For example, one can replace the odd coefficients with 1 and even coefficients with 0. Continuing the pattern for many rows reveals an ever-enlarging host of triangles, of varying
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- Pascal's Triangle and its Patterns
All kinds of information about Pascal's triangle: sums of the rows; prime numbers; hockey stick pattern; magic 11's; Fibonacci sequence; triangular numbers; square numbers; polygonal numbers; points on a circle; connection to Sierpinski's triangle.
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- Pascal's Triangle from Top to Bottom - Matthew Hubbard and Tom Roby
A comprehensive resource for the study of Pascal's Triangle. The section "Applications" addresses questions such as "What types of questions are answered by the binomial coefficients?" and "What number greater than 1 shows up most often in Pascal's Triangle?"
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- Pascal's Triangle Interface - Andrew Granville
A form that lets you visualize the entries of Pascal's triangle with respect to a modulus between 2 and 16. Select values for the number of rows, modulus, and the size of the image, and submit.
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- Pascal's Triangle - Ken Williams
Pascal's triangle, written out through row 19, by Ken Williams of the Math Forum.
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- Pascal's Triangle - Math Forum/USI
A Web unit designed to support workshops given by the Math Forum for the Urban Systemic Initiative (Philadelphia and San Diego). Read about the history of Pascal's triangle and learn to construct it; view illustrations of number patterns to be discovered;
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- Pascal's Triangle: Number Patterns - Math Forum
Some history and an interactive exploration of number patterns and an exploratory Internet Web unit for elementary, middle school, and high school, with lessons, number pattern studies, and links to relevant sites on the Web.
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- Pascal Triangle Applet - Sergey Butkevich
An applet that graphically presents Pascal's triangle modulo an integer number p; i.e. it computes the binomial coefficients. It can draw triangles with up to 650 rows with a p value between 2 and 30,000 (though it's not very clear above 15,000). The
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- Pat's Math & Problem Solving Links - Pat McQuatty
Site recommendations from the math consultant for the Western Quebec School Board. See, in particular, Special Days (Hundredth Day of school, Math with the number 2000 - twenty suggested math activities for the year 2000). Also math-related links for
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- Patterns and Magic Squares - Recmath
This page looks at a particular subset of Magic Squares, those of order four which are 'continuous' (also known as pan-diagonal, Nasik and Jaina). It explores the patterns possible when the numbers in these kinds of squares are
represented by a set of
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- Paul Trow's Math Page - Paul Trow
Trow's interactive web pages and perl software let you graph the Lotka-Voltera equations and see interconnected predator and prey populations plotted over time; model the trajectory of a cannonball for different muzzle velocities and angles of elevation,
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- Pédagogie - Olivier Batteux
Maths-Rix et Labymath sont des logiciels présenté sous forme de labyrinthe où il faut choisir des portes qui correspondent à des choix opératoires en vue des résoudre des problèmes concrets. Découvre
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- Perfect, Amicable and Sociable Numbers - David Moews
Definitions, descriptions, and discussions of perfect, amicable, and sociable numbers; aliquot sequences, related problems, and other definitions of divisibility, with a short bibliography.
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- A Perfect Collaboration - Ivars Peterson (MathLand)
Euclid and Euler seem an unlikely pairing. One was the most prominent mathematician of antiquity, best known for his treatise on geometry, the Elements. The other was the most prolific mathematician in history, the man whom his 18-century contemporaries
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- Perfect Numbers - Math Forum, Ask Dr. Math FAQ
What is a perfect number? How many are there? How can you calculate a perfect number from a Mersenne prime?
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- Photo-Math - Martha Jean Barrett; Kodak
A project where students created their own mathematical board games for use with younger or less advanced students, for grades 4-8. Working in teams, advanced students covered seven math categories: whole numbers, decimals, fractions, measurement, geometry,
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- Pi Approximation Day Greeting Cards - 123Greetings
123Greetings - Send Free Electronic Greeting Cards to Friends and Families all over the World. There are no images available for Pi Approximation Day, but backgrounds and a variety of slogans are available, and you can write your own.
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- Place Value - Cut the Knot!, Alexander Bogomolny
Dictionary definitions of place value and what they lack; the emphasis on place value in the NCTM Standards; its importance in understanding our numeration system; how it arises from one of several possible representations of grouping in the counting
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- Place-Value: Problem-Solving and Written Assessment Using Digit-Correspondence Tasks - Ross, Sunflower
This study examined the effects of researcher-developed lessons on students' understanding of two- and three-digit numeration. Digit-correspondence tasks, often used for individual interview assessment of place value understanding, were adapted to be
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- Place Value (SMILE) - Dwayne Belle, Fuller School
A lesson designed to teach students to identify the value of numerals through 10 digits. From the Arithmetic section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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- PlaneMath - InfoUse, in cooperation with NASA
Materials for elementary school students about math and aeronautics, designed to stimulate and motivate students with physical disabilities in grades 4-7 to pursue aeronautics-related careers via the development and delivery of accessible math education
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- A Playground of Thoughts - Takasugi Shinji
Takasugi's "Number Systems of the World" lists dozens of languages; how to count from zero to one hundred in each; and the mathematical meaning of the expressions for each numeral. For example, the French say "93" with quatre-vingt-treize, which means
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- Plouffe's Inverter - Simon Plouffe
A database of more than 84,800,000 mathematical constants like Pi, Sqrt(2), Catalan and Euler's gamma. Enter a number, search or browse, and the programs will find what the number is made of. From the author of the Encyclopedia of Integer Sequences (with
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- Plouffe's Inverter: Table of current records for the computation of constants
Classical constants: Pi, 1/Pi, E, Catalan, Zeta(3), Euler's gamma, log(2), Golden Ratio, Square root of 2, N'th binary digit computations, other interesting computations (Bernoulli numbers, Zeros of Riemann's Zeta Function, Madelung Constant, Khintchine
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- Portion Distortion - National Institutes of Health (NIH)
How do the portions served in today's fast food restaurants compare to those available 20 years ago? Take the "Portion Distortion" quizzes to learn exactly how much portions have "super sized," as well as the amount of physical activity required to burn
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- Potent Problems - Institute for Studies in Educational Mathematics
A database of problems that deepen understanding of mathematics through multiple answers, approaches to an answer, interpretations, extensions, perspectives on a mathematical idea, layers of complexity, or algorithms. Potent problem content topics include
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The Math Forum is a research and educational enterprise of the Drexel University School of Education.