 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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 Rejecta Mathematica
Open access online journal that publishes only papers that have been rejected from peerreviewed journals in the mathematical sciences, alongside open letters from the authors. Also available from rejecta.github.io/mathematica/.
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 RekenTest  Hendrik Jan Runhaar
Freeware for the Windows platform, intended to help students with drillandpractice arithmetic facts.
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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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 ReLearning To Teach  Justin Aion
Blog by an eighth grade teacher who "decided that I want to be a better educator. These are my exploits and thoughts as I strive to rediscover my passion and purpose." Posts, which date back to August, 2013, have included "Problem Solving, Vocab and Frustration";
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 Reliable Expert: Math and Statistics Homework Help
Homework help service: send your question, with a fee offer and deadline, and if Reliable Expert accepts your offer, you'll get your answer when you need it.
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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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 Remote Interactive Optimization Testbed (RIOT)  Industrial Engineering and Operations Research, UC Berkeley
Interactive educational and research tools for optimization problems. Applications: Learn about practical applications of optimization technology to Major League baseball, openpit mining, computer network design, and modular parts fixturing. Experiment
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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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 Repeated Prisoner's Dilemma Applet  Mike Shor
A repeated prisoner's dilemma game in which the user plays for twentyfive
rounds against each of five different (unknown) 'personality types'. Demonstrates the value of cooperation and the ability to take advantage of
some simple rules.
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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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 Representations and Cohomology Preprints  Dave Benson
An alphabetical list of dvi and ps files, by author.
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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 at Education Program for Gifted Youth  Stanford University Center for the Study of Language and Information (CSLI)
A sample of articles, in .pdf format, about computerbased distance learning instruction and other educational technology, written by researchers of the Institute for Mathematical Studies in the Social Sciences (IMSSS) and Education Program for Gifted
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 Research Council of Mathematics Learning  Research Council on Mathematics Learning
The Research Council on Mathematics Learning (RCML) seeks to stimulate, generate, coordinate, and disseminate research efforts designed to understand and/or influence factors that affect mathematics learning. Formerly the Research Council for Diagnostic
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 Research Division  Math Forum
Internet resources for research mathematicians: newsgroups and mailings lists, institutes, university departments, research projects, software, journals, articles, and other publications.
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 Research Experiences for Undergraduates (REU) Program in Mathematics  Cornell University
During the summers of 1996, 1997, and 1998 undergraduates worked on research projects under the direction of Cornell University Mathematics Department members: Analysis on Fractals; Dynamical Systems.
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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  Graduate School of Education, University of California, Berkeley
Projects include Berkeley Math Readiness, Boxer Computer Environment; CrossCultural Math Project; Early Development of Mathematical Cognition in Socioeconomic and Cultural Contexts; The Functions Group; The IERI ScaleUp Project; InscriptionRich, ComputerMediated
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 Research Group in Mathematical Inequalities and Applications (RGMIA)  RGMIA and Victoria University, Australia
The Research Group in Mathematical Inequalities and Applications disseminates results via publication (both in print and electronic form) and conferences; creates an awareness of the theory of inequalities and support seminars and visiting academics;
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 Research Group on Graph Theory and Combinatorics  Universitat Politècnica de Catalunya (UPC)
A group of about twentyfive members whose research belongs to the area, developing research projects and/or conducting works directed toward Ph.D. dissertations. Includes a searchable publication database and a page on The (Degree,Diameter) Problem for
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 Research Ideas  George Gadanidis
Disseminating math education research through performance, and studying the process and impact of research performance. Funded by the Fields Institute, Random Acts of Math brings math ideas to young children and their parents. Music videos of the Math
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 Research in Geometric, Symbolic and Scientific Computing  Dept. of Computer Science, Univ. of North CarolinaChapel Hill
Research projects: Geometric and Solid Modeling, Interactive Collision Detection for Simulated Environments, Immersive Design, Rendering Curved Models, Symbolic and Numeric Manipulation of Polynomial Systems. Also recent papers and technical reports,
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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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 Research Institute of Symbolic Computation (RISCLinz)
The Research Institute for Symbolic Computation, RISC, is an Austrian institute devoted to the field of symbolic computation. The site includes descriptions of various research areas, such as combinatorics, constraint solving, the theory of computation,
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 Research Interests  Godfried Toussaint
Links to resources, mainly in computational geometry, e.g., mobility of objects in space, degeneracies, quadrangulations, tomography, triangulation, proximity, facility location, and polygonal approximation.
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 Research Interests  Richard Mollin
Notes reflecting the author's interest in the interrelationships between continued fractions and ideal theory. This paper generalizes some independent seminal results by Chowla and Schinzel, later developed by Friesen.
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 Research in Undergraduate Education  1996 AMS/MAA Joint Meetings  The Math Forum
Listings from the AMSMAA Special Session on Research in Undergraduate Mathematics Education.
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 Research Papers  The Geometry Center
Scientific papers written at the Geometry Center that use the unique aspects of hypertext to present information in a nonlinear fashion. Many include movies or interactive pictures. A Tight Polyhedral Immersion of the Real Projective Plane with one Handle
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 Research  Peter Alfeld; University of Utah
Researchrelated materials: An interactive applet that lets you explore the BernsteinBézier form of a bivariate polynomial; recent papers, complete bibliography, recent talks, computer graphics (illustrating various mathematical concepts: US Global Positioning
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 Research Projects and Papers  Department of Statistics, University of Minnesota
Technical reports and other papers, many including some works in progress available online. Technical Report Archive; Document PrePrint Archive. Also a number of research and software projects: XLISPSTAT, the Rcode, An Introduction to Regression Graphics,
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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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