 Reference Notes  Department of Mathematics, Cal. State U. San Bernardino (CSUSB)
Notes on set theory, symbolic logic, methods of proof, basic proofs, functions, relations, binary operations, and groups. Also, Math Tools for practicing modular arithmetic and truth tables, or for solving Diophantine equations. Search the Notes, or scan
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 Reflections on Deep Blue  Keith Devlin (Devlin's Angle)
We generally assume that the ability to play a good game of chess requires intelligence when it comes to people. Why not for chessplaying machines as well? Well, here is one argument that shows that things are not so simple. One aspect of human intelligence,
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 Reflections on Holes in Graphs and Reasoning  Zach Cresswell
Blog by a Michigan teacher of AP Calculus, Precalculus, and Algebra II who has taken graduate courses such as "Creativity in Teaching & Learning." Posts, which date back to May, 2013, have included "Trying a bit of '3 Act Math'"; "Multiple Methods for
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 Reform Calculus Resources  Harel Barzilai
Many printable activities and worksheets, some with solutions, longterm student projects, capsules and tutorials, and resources for instructors including a sample secondsemester calculus course with inclass groupwork activities, projects, and student
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 Regression Applet  R. Webster West, Dept. of Statistics, Univ. of South Carolina
An applet designed to teach students the effect of leverage points on a regression line. Students may add points to the plot by clicking the mouse button. By adding points far from the existing line, the regression line changes considerably. This is particularly
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 Regular Polygon Formulas (Ask Dr. Math FAQ)  Math Forum
Formulas for finding the area, perimeter, etc. of a regular polygon, and constructing regular polygons with compass and straightedge, in particular the pentagon.
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 Regular Polyhedra: Formulas (Ask Dr. Math FAQ)  Math Forum
Formulas for finding the surface area, perimeter, volume, etc. of regular polyhedra: tetrahedron, cube, octahedron, dodecahedron, icosahedron.
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 ReInventing FourthGrade Mathematics  Jack J. Lopez; Kodak
A series of four related activities through which students acquired a firm, active knowledge of some of the basic terminology of Euclidean geometry, learning the vocabulary for describing various geometric shapes and transformations. Students photographed
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 Relatively Prime  Samuel Hansen
A series of audio shows "all about the stories behind mathematics," as gathered from interviews with Fields Medalists, composers, "standup mathematicians," and others. Listen to hourlong segments "from the mathematical domain" such as "Chinook," about
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 Relative Prime Applet (MSTE)  Nicholas Exner; University of Illinois at UrbanaChampaign (UIUC)
A Java applet that compairs pairs of numbers to see whether they are relatively prime. The main goal of this action is to demonstrate the theorem that the probability of two positive integers chosen at random being relatively prime is six divided by pi
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 Relativity  Brian K. Wegley; Glenbrook South High School, Glenview, IL
Highenergy high school physics: an openended investigative study of relativity. Site contains a summary, scenario, student pages, and useful Internet links, as well as a list of standards addressed, and assessment rubrics. Part of the Handbook of Engaged
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 Religious Beliefs Made Visual: Geometry and Islam  Jane Norman, Consultant, Metropolitan Museum of Art
Although the shapes and structures are based on the geometry of Euclid and other Greek mathematicians, Islamic artists used them to create visual statements about religious ideas. A discussion of the use of geometric motifs in Islamic art, with instructions
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 Religious schools inspire math reasoning  B. Bower  Science News Online
Students at ultraorthodox Jewish schools, who study mainly holy texts, outperform most students at mainstream schools on tests of geometric reasoning, perhaps because of the emphasis on reflection and considering different perspectives.
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 REL Network
The network of ten Regional Educational Laboratories (RELs), serving geographic regions that span the nation, works to ensure that those involved in educational improvement at the local, state, and regional levels have access to the best available information
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 Remainder/Divisibility Puzzles  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about remainder and divisibility puzzles, such as "Write 1,000,000,000 as the product of two numbers, neither of which contains any zeros" and "Arrange the digits 0 to 9 such that the number formed by the first digit
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 The Remarkable Number 1/89  Robert Miner
An overview of the Fibonacci series, interesting facts about it, and a sketch of the proof of why the decimal expansion of the fraction 1/89 contains all the Fibonacci numbers expressed as a sequence of decimal fractions, a fact discovered by Cody Birsner.
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 The ReMath Project  Research Academic Computer Technology Institute
"Making sense of theory on learning mathematics with digital media," the ReMath Project developed an "Integrated Theoretical Framework on the use of digital media to represent mathematical ideas and generate mathematical meanings." In particular, learn
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 Renaissance Learning Math Software  Renaissance Learning, Inc.
A tool for educators that provides fresh exam and worksheet questions using algorithms to generate unique new permutations each time you use it. It is designed to meet the latest NCTM assessment standards for grades 512 using performance assessment questions
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 Renato Montemurro
Libri dall'inventore delle tabelline times table: L'insegnamento della matematica nella scuola elementare (La Scuola); La matematica dalla scuola dell'infanzia alla scuola elementare (La Nuova Italia); una guida didattica per l'insegnante della scuola
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 Replacing Iowa and New Hampshire (Math Chat)  Frank Morgan, MAA Online
Answer to the challenge: Propose a new system for selecting Presidential candidates. Winning answer by Joe Shipman: a year before the primaries start choose five congressional districts at random to have a primary the last week in
January and five more
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 Reply to Dr Mulase's review of Algebra: Themes, Tools, Concepts  Henri Picciotto
Picciotto writes: "I would have preferred a more generous tone in Dr Mulase's criticism, but I have survived the reading of his diatribe, and I may have learned something from it. In this paper, I will respond to his main points, try to explain the approach
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 Report of a study on The TI92 Symbolic Calculator in Norwegian Mathematics Education  Tor Jan Aarstad
A study of the use of the TI92 calculator at Strand upper secondary school in Norway.
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 Report to the President on the Use of Technology to Strengthen K12 Education in the United States, March 1997  President's Committee on Science and Technology
A paper by the Panel on Educational Technology. Sections include: Introduction; Potential Significance; Hardware and Infrastructure; Software, Content and Pedagogy; Teachers and Technology; Economic Considerations; Equitable Access; Research and Evaluation;
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 The Republic of Mathematics  Gary E. Davis
The Republic of Mathematics™ was founded "to promote happy and productive mathematical experiences for all learners, democratize the learning and teaching of mathematics, and help empower students and teachers in their engagement with mathematics."
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 Resampling Stats
Resampling is a statistical method of drawing repeated samples from the given data to determine the value of a parameter of interest. Resampling Stats is a computer program offered for sale (30day free trial, discount for personal or academic use). The
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 Research and Expository Papers by Charles Wells and others  Charles Wells; Case Western Reserve University
Research and expository publications concerning mathematical writing, such as Communicating Mathematics: Useful Ideas from Computer Science; Varieties of Mathematical Prose; Communicating Logical Reasoning; and Handbook of Mathematical Discourse, which
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 Research for Better Schools (RBS)
An educational R&D firm serving the MidAtlantic region, currently operating the MidAtlantic Eisenhower Consortium for Mathematics and Science Education. RBS offers educational development, evaluation, technical assistance, and training services
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 Research in Math Education  Mathematics Education at The Math Forum
Research into the learning and teaching of mathematics: methods; K12 and college undergraduate education (articles, conference sessions); bibliographies; centers; studies; special interest groups; organizations and journals.
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 Research in Practice  Ben BlumSmith
A "math education research digest" by a former teacher, private tutor, and faculty member of Bard College's Master of Arts in Teaching program who went on to pursue his doctoral degree from the Courant Institute of Mathematical Sciences at New York University.
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 Resourceaholic  Joanne Morgan
Blog of teaching ideas and resources recommended by a Key Stage 5 Coordinator in a Greater London (UK) girls' grammar school. Posts, which date back to April, 2014, have included a recurring series of "math gems" as well as "Highest Common Factor and
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 Resource Bibliography: Children's Trade Books in Math  Beth G. Newhouse, Department of Mathematics & Statictics, Arizona State University
A selected bibliography of books for kids that teach and reinforce math concepts, organized by topic: counting and number, number operations, large numbers, money, geometry, algebra, miscellaneous topics. Originally compiled by Dorothy Giroux and Denise
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 Resource Material  Spencer, Chan; Univ. of Toronto Mathematics Network
A collection of resource material for use in classes or extracurricular activities in high schools: answers, explanations, and expositions of some common but deep math questions. In the process of answering three basic questions, this area delves into
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 Resource Room (Math Central)  University of Regina, Regina, Saskatchewan, Canada
French version: Centre de ressources. A service of Math Central that allows mathematics educators to share resources having to do with math teaching. Submissions are stored in a database that can be browsed by educational level and curriculum strand,
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 Resources for Mathematics Education for Biology Students  Louis J. Gross, University of Tennessee
A page of links to WWW resources for mathematics training for biology students, collected with assistance from the Education Committee of the Society for Mathematical Biology, an extension of the Quantitative Curriculum for Life Science Students project.
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 Resources for Spreadsheet Analysts  Thomas A. Grossman, University of San Francisco
Addins, templates, standalone software and resources that assist in building models, performing analysis, distributing models to other people, compliance, and managing spreadsheet information systems and spreadsheet model assets. Categories of resources
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 Resources for Tan's Applied Calculus  S.T. Tan; Brooks/Cole Publishing Company
Chapterbychapter exercises, practice quizzes, practice tests, suggested group projects, review questions, and other sample resource materials for students and instructors using Tan's Applied Calculus, Fourth Edition. Also, stepbystep instructions
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 Resources for Tan's Applied Finite Mathematics  S.T. Tan; Brooks/Cole Publishing Company
Chapterbychapter exercises, practice quizzes, practice tests, suggested group projects, review questions, and other sample resource materials for students and instructors using Tan's Applied Finite Mathematics, Fifth Edition. Also, stepbystep instructions
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 Resources for Tan's Calculus for Managerial, Life and Social Sciences  S.T. Tan; Brooks/Cole Publishing Company
Chapterbychapter exercises, practice quizzes, practice tests, suggested group projects, review questions, and other sample resource materials for students and instructors using Tan's Applied Calculus for Managerial, Life and Social Sciences, Fifth Edition.
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 Resources for Teachers  Lawrence Hall of Science (LHS)
The LHS at the Univ. of California at Berkeley has been a pioneer in precollege science and mathematics programs that emphasize the "learning by doing" approach, offering many different types of educational programs for all ages. Each of the Lawrence
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 Resources for Teachers of Developmental Mathematics (MAA)  Mathematical Association of America
A page assembled by the ad hoc Subcommittee on Developmental Mathematics, with the beginnings of an annotated bibliography of articles related to developmental mathematics, including articles on the adult learner of mathematics and experimental programs
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 Resources for Undergraduates in Mathematics (MAA)  Mathematical Association of America
Answers and links to sites that answer questions such as: What can I do with a math major? Where can I find help on finding the first job? What has been the experience of other students? What are some other resources?
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 Ressources en français  French Language Math Resources  Math Forum
Mathematics and math education resources available online in French, collected by the Math Forum. Categories: Articles and Publications (Includes excerpts from the journal abraCAdaBRI); Lessons, Activities, Teaching Materials (Lesson plans, online courses,
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 Rethinking Schools Online: An Urban Educational Journal
Founded in 1986 by activist teachers, Rethinking Schools is a nonprofit, independent publisher of educational materials that advocates the reform of elementary and secondary education, with a strong emphasis on issues of equity and social justice. Having
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 The RetroPsychoKinesis Project  Peter Moore and John Walker
Retropsychokinesis (RPK) is the claimed ability of certain subjects to alter random data generated, but not examined, prior to the time the data are presented to the subject. Read about or run bell curve, clock face, or pendulum feedback programs (Java
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 Retrosheet
Digitizing playbyplay accounts of Major League Baseball games from the past century through the present. Freely download event files, which detail "literally every play" in big league baseball; game logs; schedules; narratives, which provide text playbyplay
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 The Return of Odysseus and the Elements of Euclid  Andrew Wiesner; Classics Dept., Colorado College
The author's 1994 honors thesis, which attempts to shed new light on the origins of Greek mathematics.
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 Return of the Mathematical Tourist  Ivars Peterson (MathTrek)
In the newly published, updated edition of The Mathematical Tourist, Peterson writes, "...computers have become commonplace tools used by nearly all mathematicians, not only to communicate with each other but also to explore mathematical questions...
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 The Return of Zeta  Ivars Peterson (MathTrek)
The Riemann hypothesis is widely considered the outstanding unsolved problem in mathematics. Generations of mathematicians have been lured into hunting for a proof of this celebrated conundrum. All have so far failed. Lately, however, a cautious optimism
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 Return to Socrates  Ion Saliu
BASIC programs for download cover topics such as the birthday paradox, card shuffling, bell curves, permutations, combinations, and a wide range of games of chance, including lotteries, lottos, Powerball, Mega Millions, Pick3, Pick4, Keno, roulette,
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 Reuleaux Triangle  Paul Kunkel
An investigation into the Reuleaux triangle and its properties.
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