 30 Second Challenge: The Fun Way to Learn Mathematics  Norman D. Lock
eBooks (PDF format) that provide an entertaining approach to developing mental arithmetic skills.
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 The Abacus: The Art of Calculating with Beads  Luis Fernandes
A tutorial on using the abacus  a calculator whose earliest known use is circa 500 B.C. by the Chinese civilization. Addition, subtraction, division and multiplication can be performed on a standard abacus. Beginning in about 1600 A.D., use and evolution
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 Abstract Algebra OnLine: Structure of Groups  John A. Beachy; Dept. of Mathematical Sciences, Northern Illinois Univ.
Excerpted from Beachy/Blair, Abstract Algebra, 2nd Edition, 1996, Chapter 7: Isomorphism theorems, automorphisms; Conjugacy; Groups acting on sets; The Sylow theorems; Finite abelian groups; Solvable groups; Simple groups. Excerpted from Abstract Algebra
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 Abstract Algebra OnLine: Structure of Noncommutative Rings  John A. Beachy; Dept. of Mathematical Sciences, Northern Illinois Univ.
Excerpted from Abstract Algebra II, 1996, by John Beachy: Prime and primitive ideals; The Jacobson radical; Semisimple Artinian rings.
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 Accountable Talk^{SM}  Lauren B. Resnick and Megan Williams Hall with the Fellows of the Institute for Learning
Excerpt from an "ebook" introducing the Principles of Learning. Includes audio clips and video examples with transcripts and suggested discussion questions.
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 Activity Resources  Activity Resources Inc.
Created by Mary Laycock for mathematics teachers, with the goal of providing a real understanding of mathematics through handson (manipulative) activities. Purchase books and manipulatives on arithmetic, base ten, red and blue blocks, Cuisenaire rods,
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 AddisonWesley Higher Education  Pearson Education
Publisher of programs and materials for primary and secondary school students and teachers; higher education textbooks and multimedia in major academic subjects for students and professors; books and multimedia for business professionals, practicing engineers,
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 Adventures in the MathZone  Ivars Peterson (MathTrek)
Ivars Peterson and his wife, Nancy Henderson, have written "a book that introduces children to a variety of ideas also of interest to today's mathematicians: knots, map coloring, Möbius strips and topology, prime numbers, chaos, fractals, and more. Our
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 Algebra for Athletes.com  Cameron Bauer
Excerpts from the Nova Science Publishers, Inc., book Algebra for Athletes: algebraic laws illustrated in a variety of sports scenarios; exponents and weight room mechanics; linear equations and speed; vectors and golf; quadratic equations and parabolas;
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 Algebraic Combinatorics Via Finite Group Actions  A. Betten, H. Fripertinger, A. Kerber
An Internet book with chapters on Actions: Actions of Groups; Bilateral classes, symmetry classes of mappings; Finite symmetric groups; Complete monomial groups; Enumeration of symmetry classes; The involution principle; and Special symmetry classes;
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 Algebra Interactive!  Arjeh M. Cohen, Hans Cuypers, Hans Sterk
The first chapter of the HTMLbased book Algebra Interactive!, an introduction to abstract algebra providing an algorithmic approach to algebraic structures ranging from the elementary structures of the integers, polynomial rings in one variable, and
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 Algebra, Philosophy, and Fun  Ivars Peterson (MathTrek)
About the book Philosophy and Fun of Algebra, written by Mary Everest Boole (18321916) and published in 1909. "Boole's gentle, conversational introduction to algebra is meant for children. It also serves as a window on
math educationas it was perceived
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 Algorithms for Modular Elliptic Curves  John Cremona
View parts of the second edition of the book, with introduction, tables and software. Download the errata list for the second edition, available as a dvi file or a postscript file.
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 Alive Books  Sotirios Persidis
The site offers a free downloadable course on Calculus of a Single Variable, as well as a link to a modern new Mathematical Handbook is given. The Handbook is part printed matter and part online, and fully searchable even within mathematical expressions.
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 All About LaTeX2HTML  Nikos Drakos, Computer Based Learning Unit, Univ. of Leeds
LaTeX2HTML: What it is, how it works, where to get it, how to install it, how to use it and how to diagnose and fix problems. Also the LaTeX2HTML manual. Mailing list; sample converted documents; publications about LaTeX2HTML; searchable archives. Last
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 Alternative Instruction and Alternative, PerformanceBased Assessment  Jane Ehrenfeld; Math Forum
Two annotated bibliographies designed to present ways in which assessment can be altered without drastic restructuring of class and curriculum. Some of the articles and books referenced have links to portfoliobased instruction and assessment, and can
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 American Institute of Mathematics
The American Institute of Mathematics (AIM) "expands the frontiers of mathematical knowledge through focused research projects, sponsored conferences, and the development of an online mathematics library." See, in particular, the nonprofit organization's
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 American Statistical Association (ASA)
A scientific and educational society founded in 1839 to foster excellence in the use and application of statistics to the biological, physical, social and economic sciences. The ASA publishes journals, conducts scientific conferences, fosters a continuing
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 The Analyst  George Berkeley
A text based on the 1898 edition of the works of George Berkeley, edited by George Sampson, incorporating a small number of changes. Many mathematicians published replies to Berkeley's attack on contemporary mathematical practice in The Analyst. Included
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 The Analytical Engine  John Walker
The mathematician Charles Babbage designed an Analytical Engine, a mechanical precursor to the computer, in the late 1800s. Read historical documents related to the Engine, including Blaise Pascal's account of his mechanical adding machine (in French),
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 Ancient Mathematics  SunSITE's Vatican Exhibit; Library of Congress
Math history: math and astronomy in the ancient world. Greek Mathematics, Ptolemy's Geography, Greek Astronomy. Scholarship supported science in this world where faith and science were not yet seen as two irreconcilable cultures. Euclid (Elements, Optics);
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 Ann McCallum Books  Ann McCallum
Lessons and puzzles to extend the math fairytales and history/mystery math project books by McCallum, author of The Secret Life of Math, Rabbits, Rabbits Everywhere: A Fibonacci Sequence, and Eat Your Math Homework: Recipes for Hungry Minds. McCallum's
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 anthropicprinciple.com  Nick Bostrom
A site on 'Anthropic reasoning', which involves concepts such as probability, objective chance, rationality, and observers. See problems like the Doomsday argument.
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 Ant Math (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
Imagine stepping into a pitchblack room. How might you figure out the room's size in the dark? You could, for example, carefully follow the walls and count how many steps you took going from one corner to the next all the way around. That would give
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 Applied Chaos Lab (ACL)  Dr. W. Ditto; Georgia Tech University
The ACL covers a broad range of analysis and application of chaotic behavior and related phenomena. Much of the research is done in conjunction with researchers at other universities and extends into biophysics and other interdisciplinary areas. Researchers
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 Applied Wavelet Analysis Courses  Gerald Kaiser
The Virginia Center for Signals and Waves, founded by mathematical physicist Gerald Kaiser, is dedicated to a physicsbased approach to signal analysis and processing. Information about Kaiser's book A Friendly Guide to Wavelets, his curriculum vitae,
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 AP Test Prep Books
Find an AP prep book for multiple subjects, including AP Calculus, Computer Science, Economics, Physics, and Statistics.
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 Arithmetic Village  Kimberly Moore
Arithmetic Village introduces number placement, addition, subtraction, multiplication, and division through storybook characters Polly Plus, Linus Minus, Tina Times, and King David Divide. arithmeticvillage.com, which accompanies the author's rhyming
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 Artificial Intelligence Resources  NRC  National Research Council (NRC) of Canada
Internet resources useful to AI researchers: Archives for newsgroups and mailing lists; bibliographies; books; companies; conferences; employment opportunities; FAQs; journals; location index (various AI research groups, organized geographically); list
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 Assessing Mathematical Proficiency  Alan Schoenfeld
Downloadable Cambridge University Press volume of a 2004 conference held by the Mathematical Sciences Research Institute (MSRI) that brought together a diverse collection of stakeholders in mathematics assessment to examine the goals of assessment and
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 The Assessment Challenge in Statistics Education  Iddo Gal and J. B. Garfield (eds.)
A book that discusses conceptual and pragmatic issues in the assessment of statistical knowledge and reasoning skills among students at the college and precollege (K12) levels, and the use of assessments to improve instruction.
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 Assessment in Mathematics Teaching  Mathematics Education at The Math Forum
The Math Forum's suggested sites on assessment in mathematics education including the NCTM Standards; sessions on assessment at meetings; and selected books and articles on assessment.
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 Association for Experiential Education (AEE)
An international membership organization with roots in adventure education, committed to the development, practice, and evaluation of experiential learning in all settings: education, recreation, outdoor adventure programming, mental health, youth service,
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 Association for Symbolic Logic
The Association for Symbolic Logic (ASL) is an international organization supporting the presentation, publication, and critical discussion of scholarly work in the field of logic. Its current membership reflects the longstanding important role of logic
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 Atlantis Puzzles & Games  Karl Scherer
Puzzles and games for sale; puzzle books (A Puzzling Journey To The Reptiles And Related Animals; NUTTS And Other Crackers; New Mosaics  A Book On Tilings); Fractal computer art; brain teasers (AMaze; Globetrotter). Also ALIVE, a WINDOWS version of
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 ATLAST Project Forum
A National Science Foundation project to encourage and facilitate the use of software in teaching linear algebra. Includes information on the book ATLAST Computer Exercises for Linear Algebra , (PrenticeHall, Fall 1996, featuring teacherdeveloped, classtested
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 The Axiom of Choice (AC)  Eric Schechter; Vanderbilt University
An introduction to and some implications of perhaps the last great controversy of mathematics, the Axiom of Choice, now a basic assumption used in many parts of mathematics. With a collection of annotated links to relevant sites: Introductory/elementary;
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 Basic Concepts of Mathematics  Elias Zakon
This electronic text helps the student complete the transition from purely manipulative to rigorous mathematics. Chapters cover basic set theory, induction, quantifiers, functions and relations, equivalence relations, the real numbers (including consequences
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 Basic Geometry of Voting  Donald G. Saari
A book that offers a large number of new results about voting theory, its emphasis purposely placed on three candidate settings so that the book can be read by almost everyone. (With four or more candidates, the results need more advanced mathematical
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 The Basic Math Quick Reference Handbook  Pete Mitas
This handbook, written by an experienced math teacher, lets you quickly look up definitions, facts, and problem solving steps. It includes over 700 detailed examples and tips to help someone improve
their mathematical problem solving skills. The web
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 BEAM: Be A Mathematician
A mathematics curriculum development project for nursery, primary, special and lower secondary teachers. It publishes resource materials for teachers' use in the classroom, offers training courses for teachers, and provides consultancy in the area of
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 BioTech: Life Sciences Resources and Reference Tools  Indiana University
A searchable site that assists in the location and use of biotechnology resources, including the biotechnology aspects of agriculture, medicine, veterinary science, and molecular biology/biochemistry (pure sciences). An illustrated Dictionary provides
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 Blogic  J. David Velleman, Dept. of Philosophy, Univ. of Michigan
An interactive textbook in logic. Topics and interactive software include: Boolean searching; logic circuits; truthtables; Turing machines; foundations of probability; modal logic with possibleworlds diagrams; quantification. Includes interactive
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 A = B  Marko Petkovsek, Herbert Wilf, Doron Zeilberger
A=B, by Petkovsek, Wilf, Zeilberger, is a book about identities, especially identities involving binomial sums and hypergeometric identities, and ways to prove them using computer programs. The entire text may be downloaded from this site in PDF format.
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 The Boise Problem Book  Marion Scheepers; Dept. of Mathematics, Boise State University, Boise, ID
Combinatorial games and set theory. Chapters include: Covering games and Memory; Peculiar sets of real numbers and games; Gdelta properties and games; The precipitous ideal game; Cardinal numbers related to the real line; Embedding problems; Gaps; The
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 Books and other nonweb resources (History of Mathematics)  David Joyce; Dept. of Mathematics & Computer Science, Clark University
Organizations devoted to the history of Mathematics; a Bibliography of source books; Journals; Bibliographies and catalogues; and Texts on the history of mathematics.
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 Books by Lillian Lieber  Lillian Lieber, Hugh Gray Lieber, Paul Dry Books
Paul Dry Books has republished three of Lillian Lieber's books on mathematics: The Education of T.C. MITS: What Modern Mathematics Means to You, Infinity: Beyond the Beyond the Beyond, and Einstein's Theory of Relativity. Lillian Lieber was the head of
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 Books: Professional & Technical: Education  Amazon.com
Browse bestselling books about education from the Professional and Technical Bookstore at Amazon.com, in categories such as General; Biographies of Educators; Counseling; Education Theory; Lesson Planning; Preschool & Kindergarten; Reference; Special
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 Books that Compliment the Classroom  MaryEllen Musacchia, Little Red Hen Press
The Jelly Bean Parade is a story for children in PreK3 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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 Bridge to Higher Mathematics  Sam Vandervelde
Textbook for use with the proofs course taught at St. Lawrence University by Vandervelde, an Associate Professor of Mathematics who writes questions for the USA Math Olympiad. Bridge to Higher Mathematics incorporates "concept checks" and "mathematical
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