- Books: Professional & Technical: Professional Science: Mathematics - Amazon.com
Browse bestselling math books from the Professional and Technical Bookstore at Amazon.com, in such categories as Applied; Chaos & Systems; Geometry & Topology; Mathematical Analysis; Mathematical Physics; Number Systems; Pure Mathematics; Transformations;
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- Books that Compliment the Classroom - Mary-Ellen Musacchia, Little Red Hen Press
The Jelly Bean Parade is a story for children in Pre-K-3 about how jelly beans are made. The author writes, "The information presented keeps little ones interested and active in the story. After a read aloud, students can actively engage in: color identification,
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- Boolean Algebra (Encarta Encyclopedia 2008) - Microsoft Encarta Online
Boolean Algebra, branch of mathematics having laws and properties similar to, but different from, those of ordinary high school algebra. Formally a Boolean algebra is a mathematical system consisting of a set of elements, which may be called B, together
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- Boolify - The Public Learning Media Laboratory
Visualize the process of searching the web by interacting with the abstract logic concept behind queries -- as jigsaw puzzle pieces of keywords and Boolean operators (AND, OR, NOT). Boolify offers a video and several lesson plans in a web search curricula.
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- Boomerang (SMILE) - Wilhelm L. Lilly, Kenwood Academy High School
A lesson for grades 4-12 designed to teach students to estimate angles in degrees and distances in feet or meters; collect data and analyze a histogram; and (optionally) study gyroscopic precession and aerodynamics. From the Recreational and Creative
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- Boost Your Skills With ATI Courses! - Applied Technology Institute (ATI)
A center for technical training in the form of short courses and distance learning
in space, communications, defense, sonar, radar, and signal processing.
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- Border Pattern Gallery - John Wolfe; Geometric Structures Class, Oklahoma State University
A gallery developed as a class project: creating and classifying border patterns (also called frieze or band patterns) provides an engaging introduction to symmetry for students of all ages. Examples and explanations for seven different border types.
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- Borrowing/Regrouping - Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about borrowing, regrouping, and carrying, such as "When doing subtraction problems like 100-99, why do the zeros become nines?" and "When you are subtracting a fraction, do you always take one away from the whole number?"
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- Bottles in a Wine Rack - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Arranging wine bottles in a rack leads, under certain circumstances, to a curious mathematical problem discussed in books by S. Wagon and R. Honsberger. The site arouse out of an attempt to illustrate their solution. The dynamic illustration quickly
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- Bounded Set Theory - Vladimir Sazonov
Bounded Set Theory (BST) is a weak version of the ordinary set theory. Its main feature is paying main attention to using bounded quantification (as in the ordinary everyday mathematical practice) and other analogous bounded constructs. The language of
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- Bowland Maths - Bowland Charitable Trust
Case study problems and lessons designed to develop thinking, reasoning and problem solving skills in UK math pupils ages 11-14. In particular, download series of stand-alone assessment items that challenge students to estimate the number of descendants
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- Boxes and Bags - Aunt Annie's Crafts
Five projects that are fun to make and teach some basics of geometry: Snowflakes, Geometric Solids, and More Geometric Solids work well in gift wrapping; Flexagons and Tangrams make nice gifts. All of the projects can also be incorporated into lesson
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- Boxplots in Excel - Neville Hunt, Coventry University
A method for using Microsoft Excel to create boxplots, or box and whisker diagrams, which provide a simple graphical summary of a set of data. Boxplots show a measures of central location (the median), two measures of dispersion (the range and inter-quartile
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- Boy or Girl? - Math Forum, a Classic Problem from the Ask Dr. Math FAQ
In a two-child family, one child is a boy. What is the probability that the other child is a girl? What if the older child is a boy?
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- Boy's Surface (Student Sculpture) - Pau Atela, Smith College
A mathematical sculpture constructed by students at Smith College for an undergraduate course in the spring 2000 semester. The students worked with formulas and computer calculations to construct and weld a 6'7" x 6'7" metal sculpture reproducing Boy’s
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- The Brachistochrone - Paul Kunkel
An investigation of the problem: We are given two fixed points in a vertical plane. A particle starts from rest at one of the points and travels to the other under its own weight. Find the path that the particle must follow in order to reach its destination
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- The brachistochrone problem
- MacTutor Math History Archives
Linked essay on the brachistochrone problem, posed by Johann Bernoulli in Acta Eruditorum in June, 1696. With references and other related web sites.
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- Brahmagupta's Formula - Jim Wilson, Dept. of Mathematics Education, Univ. of Georgia
Problem: Develop a proof for Brahmagupta's Formula, which provides the area A of a cyclic quadrilateral (i.e., a simple quadrilateral inscribed in a circle) with sides of length a, b, c, and d as A = sqrt((s-a)(s-b)(s-c)(s-d)) where s is the semiperimeter
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- BrainBashers - Kevin N. Stone
A collection of logic, language and math puzzles, in a choice of easy/medium/hard. Rate the puzzles; show their answers. Logic puzzles include Einstein's Puzzle. Play games of strategy, such as "Four in a Row" (also known as "Connect Four") or games based
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- BrainBashers - Kevin Stone
Five math or logic challenges on a page, each with clickable hints and solutions. For games, visit http://www.brainbashersgames.com/.
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- Brain Boosters - Discovery Education
An archive of challenging puzzles, organized under: Categorization, Lateral Thinking, Logic, Number and Math Play, Reasoning, Spatial Awareness, Word and Letter Play.
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- Brainers - PedagoNet
More than 60 word problems and puzzles designed to develop logic and problem-solving skills. Submit your answers and suggestions to become part of the Wall of Fame. Site is in English, French, and Spanish.
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- Brain Food - Puzzles For the Brain To Gnaw On - Samuel Stoddard
Hundreds of online (CGI) puzzles, including logic puzzles, word problems, number puzzles, lateral thinking puzzles, scrambled equations, cryptograms, logi-number puzzles, discrete reasoning puzzles, mathematical reasoning puzzles, knight's dilemma, magic
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- Brainfreeze Puzzles - Riley, Philip; and Taalman, Laura
Free example puzzles and solving tips for colorful, hand-designed Sudoku variation puzzles with additional rules that challenge you to rethink your old Sudoku strategies and devise new ones. From the authors of the book, Color Sudoku.
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- Brainingcamp Educational Math Software - Dan Harris, President and CEO
Real math problems and simulations for 5th-9th grade. Middle school math online software. Guided by NCTM and State mathematics standards. Video demo and free trial available.
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- Brainormous
Worksheet makers and math games available for demo or purchase: Zeus' Petals, Fourdoku, Multiflyer, Math-teroid, Gridiant, and more.
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- BrainPOP Math - BrainPOP, LLC
Short animated films that are simple and easy to understand on elementary mathematics, as well as health, science, and technology. Films often accompanied by quizzes.
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- Brain Science & ICT in Mathematics Education - Dave Moursund
An exploration of three major topics from a math education point of view: Brain Science Craft & Science of Teaching & Learning (C&S of T&L) Information & Communications Technology (ICT). Read the author's thoughts on constructivism,
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- Brainwave - Wognum Art
Ten visual puzzles, to test your visual and reasoning skills. Most have to do with symmetry recognition. There is a "top 5% brain" award to those who earn ten "smart bulbs."
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- Brainy Figuring - Ivars Peterson (MathTrek)
In the May 7 Science, Dehaene and collaborators at the Massachusetts Institute of Technology present the first hard evidence that two quite different modes of brain activity underlie our inborn capacity for mathematics. Their study indicates that learning
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- Bray Proves Penrose Conjecture in General Relativity (Math Chat) - Frank Morgan, MAA Online
In 1979 R. Schoen and S.-T. Yau proved that the total mass of a universe must be positive. Last year [1998] G. Huisken and T. Ilmanen proved that the total mass is at least as large as the largest constituent mass: M >_ m1. Finally this year [1999] H.
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- Breaking Chocolate Bars - Cut the Knot!, Alexander Bogomolny
The chocolate bar puzzle has three parameters: two side lengths (m and n) and actual selection of lines along which to break the bar and its parts... An interactive column for MAA Online that uses a Java applet to simulate a puzzle or mathematical problem,
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- Breaking the Light Barrier - Michael H. Walker
Galleries of fractal images: Flarium 1, Inkblot 1, etc.
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- Break-Tru Software - David Giordano
Math shareware and freeware downloads for the PC include Quick Conversion, which converts distance measures such as inches, feet, yards, rods, furlongs, miles, and leagues to and from metric units such as meters; Fractions n Decimals, which converts mixed
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- Break Your Record for 100 Math Tables - Keiya Kanno
Practice addition, subtraction, and multiplication in these 10 by 10 tables: downloadable Flash shareware software for Macintosh OS X / Windows 2000, XP. Time and score are recorded automatically, recording up to 8 different users.
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- Brendan McKay
Software includes nauty, a program for computing automorphism groups of graphs and digraphs, which can also produce a canonical labelling; and plantri, a program for generating planar triangulations. Also, skeptical treatment of claims made of miraculous
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- Brendt Wohlberg - University of Cape Town, South Africa
Fractal image compression resources: bibliography, publications.
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- Bret Victor
From the creator of Kill Math, Victor's "umbrella project for techniques that enable people to model and solve meaningful problems of quantity using concrete representations and intuition-guided exploration" in pursuit of a "widely-usable, insight-generating
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- Bricks Activity - Suzanne Alejandre
A classroom activity (also called the Masonry Problem; a variation on polyominoes) aligned to the NCTM and California Standards, to be explored through manipulatives (dominoes). Students explore different possibilities of making brick walls with and without
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- The Bridges of Königsberg - Isaac Reed
This problem inspired the great Swiss mathematician Leonard Euler to create graph theory, which led to the development of topology.
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- The Bridges of Königsberg - Jim Loy
A brief introduction to Euler's Bridges of Königsberg problem, graph theory, and simple related puzzles.
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- The Bridges Organization: art and mathematics - George W. Hart, Webmaster
The Bridges Organization oversees an annual conference on connections between art and mathematics. The site's virtual museum shows sculpture, paintings, drawings, digital prints, textiles, origami and other paper-foldings created by mathematicians and
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- Bridges to Math Comprehension - Jan Rottner; SCORE Mathematics
Collect statistics about 2-4 famous bridges to use in calculating geometric computations of area, and parallel and intersecting lines. Compare your results using less than, greater than or equal to skills. Extensions include exploring other Web sites
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- Bridging The Gap - Nicora Placa
Blog by a former elementary and middle school math teacher pursuing a Ph.D. in teaching and learning. Posts, which date back to April, 2013, have included "The subway ad that changed my life," "Transforming the Teaching Profession: It starts with RESPECT,"
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- Brief Course Materials for Various Courses - E. Lee Lady; University of Hawaii
A collection of short handouts: files are in PDF and DVI formats. Contents include: The Fundamental Theorem of Arithmetic, the division algorithm, solutions of linear congruences, solving the Chinese Remainder problem, an example of a continued fraction,
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- A Brief History of Algebra and Computing: An Eclectic Oxonian View - Jonathan P. Bowen; Oxford University Computing Laboratory, UK
Math history: Chapters on: The Origins of Algebra; Early English Algebra; Algebra and Analytical Engines; Boolean Algebra; Algebra and Computing; Recent Developments in the Algebra of Programs. References. Also available at http://www.museums.reading.ac.uk/vmoc/algebra/.
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- A Brief History of Cosmology - MacTutor Math History Archives
A hypertext essay describing the course of cosmology from its beginnings in early Babylonian society through the present, with References.
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- A Brief History of Mechanical Calculators - James Redin
An essay on the historical evolution of calculating machines, from the abacus to Babbage's differential machine to today's computers. Contents include: the abacus; the Antikythera calculator; Napier's Bones; Leonardo da Vinci's design; Schickard’s machine;
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- A Brief History of Statistics - Richard Walker
Notes adapted from the article, The Development of Modern Statistics, by Dale Varberg which appears in Swetz, Frank (editor), From Five Fingers to Infinity: A Journey Through the History of Mathematics, Open Court, 1994.
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- Brighten's Fractals Page - Brighten Godfrey
Investigate "Just Another Fractal Generator," a Java applet to make Iterated Function System (IFS) fractals based on triangles, or view a gallery of images created using the program.
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