- Before Pythagoras: The Culture of Old Babylonian Mathematics - New York University Institute for the Study of the Ancient World
This archaeological exhibit explored the world of Old Babylonian mathematics through cuneiform tablets, and illustrates how the ancient civilization performed arithmetic on numbers based entirely on two symbols. Online highlights include images of a multiplication
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- The Evolution of the Real Numbers - Lawrence Spector
An introduction to real numbers, including such topics as: the ratio of natural numbers; continuous versus discrete; fractions; unit fractions; rational numbers; measurement: geometry and arithmetic; common measure; squares and their sides; incommensurable
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- InterMath Dictionary - The University of Georgia
A searchable dictionary for middle school-level mathematics students, teachers, and parents. The dictionary provides related terms, everyday examples, interactive checkpoints, and challenges. Funded by the National Science Foundation, InterMath is a collaborative
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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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- Irrational Numbers - Jim Loy
Pythagoras is said to have discovered irrational numbers, showing that the square root of 2 could not be expressed as any whole fraction m/n. Here's the proof...
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- Irrational number to an irrational power may be rational - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A mathematical proof of the existence of rational numbers obtained by raising irrational numbers to irrational powers. With links to pages that explain rational and irrational numbers and mathematical operations on them.
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- Materials for using projector in math teaching - Antonija Horvatek
Geometer's Sketchpad and PowerPoint files for presenting fractions, decimals, integers, rational numbers, equations, functions, perimeter and area, plane transformations, the Pythagorean Theorem, three-dimensional geometry, and statistics. Also available
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- Math Motivation - Michael Sakowski
Answers to the question "Where will I ever use algebra?" Examples of how "the process of learning higher mathematics provides valuable skills in deductive reasoning and symbolic reasoning, in addition to math skills used directly in science and engineering
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- Philosophy of Science - David Banach
A syllabus and collected resources for a course in the philosophy of science, including excerpts from various books. Topics include ancient Greek science and mathematics: the Golden Section, Pythagoras, infinity and continuity, and Plato and Aristotle,
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- Quiz Me - D. Kell and Mercer County Community College
Interactive quizzes constructed using software provided by Addison Wesley Longman Publishers. Auto-scoring, multiple choice self-tests on whole numbers (place value, operations, applications, rounding, roots and order of operations); fractions (equivalencies,
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- RJN's More Digits of Irrational Numbers Page - Nemiroff, Bonnell
All digits accessible here were computed by Robert Nemiroff and Jerry Bonnell. The Digit Warehouse: e, sqrts of 2, 3, 5, 6, 7, 8, 10 to millions of digits.
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- Skill in Algebra - Lawrence Spector
An introduction to algebra, with questions that, when moused over, reveal their answers: algebraic expressions, signed numbers, adding and subtracting signed numbers, multiplying and dividing signed numbers, reciprocals and zero, removing grouping symbols,
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- TheMathPage: Topics in Precalculus - Lawrence Spector; Borough of Manhattan Community College, CUNY
Topics in precalculus include the formal rules of algebra; rational and irrational numbers; functions and functional notation; graphs; the vocabulary and roots (zeros) of polynomial functions; completing the square; the factor theorem and integer root
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- Trisecting the Angle - Steven Dutch; University of Wisconsin - Green Bay
Why is trisecting an angle with a straightedge and compass impossible? Discussion includes several other proofs of impossibility (the largest prime number, the square root of 2, repeating patterns in the plane) and some alternate methods of trisection
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