 Ratios (SMILE)  Richard Murray, Gage Park High School
A lesson that uses scale models to teach students to examine models and compare their lengths numerically; to measure the models; and to calculate the length of the real size base when they know the scale of the model. From the Practical and Applied Math
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 Raw  DensityDesign Lab
The "missing link between spreadsheets and vector graphics," this open web app's interface lets you create custom vectorbased visualizations on top of the DataDriven Documents JavaScript (D3.js) library. Starting with delimiterseparated values in plaintext
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 The R. Buckminster Fuller FAQ  Christopher J. Fearnley
The Frequently Asked Questions and Answers (FAQ) Resource on R. Buckminster
Fuller, based primarily on the history of the discussions, interests, and needs of the readers of the BITNET mailing list Geodesic and its USENET gateway bit.listserv.geodesic.
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 R. Buckminster Fuller on PBS  Thirteen / WNET
A biography of R. Buckminster Fuller, with explanations and illustrations of inventions such as the Dymaxion house, Dymaxion car, Dymaxion bathroom, and geodesic dome. Explore Fuller's Dymaxion map, John Kuhtik's Fly's Eye Dome, the World Game, and the
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 R. Buckminster Fuller's Octet Truss  Hop David
A discussion of Buckminster Fuller's invention based on the octahedron/tetrahedron tessellation.
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 Readings and Poetry Selections for Mathematics in Poetry  JoAnne Growney, Bloomsburg Univ., Bloomsburg, PA; The Math Forum
Annotated bibliography for the contributed paper session, "The Scholarship of Humanistic Mathematics," AMSMAA Joint Meetings, Orlando, Florida, 1996.
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 Real Numbers in the Real World (SMILE)  Ulysses Harrison, Dunbar Vocational High School
A lesson designed to teach students to group the set, R, of real numbers into two different sets: R > 0, R < 0; use parentheses to change the order in which
exponentiation, multiplication, division, addition and subtraction are performed
by
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 Real Teaching Means Real Learning  David Martin
Posts from this blog, which date back to November of 2010, have included "Calculus and the justice system," "Driving and deriving in math class," "BEDMAS last along with Lottery Winners," and "Meaning first, homework second." Martin, who teaches high
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 Real World  Lesson Ideas: Math; Teachnet.Com
Activities: Buy Groceries; Plan Christmas Vacation; Credit Cards for Kids; Who's Average?; Carpet Your Classroom; Division from a Printer's Viewpoint.
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 Real World Math  Thomas J. Petra
Lessons that use Google Earth to teach math include Oil Spill Estimates and Scientific Notations; Iditarod Challenge and Typhoon Project; Four Color Map and Mazes & Labyrinths; Crop Circles and Fractal Measurement; Lunar Sports and Rockets. Each lesson
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 Real World Math Via the Internet  Wendi Fein, M.A., Heritage Online
K12 math using real world problems and data that will support interdisciplinary teaching of science, social studies, history and business. Teachers in this course take advantage of the Internet for class discussions and to access material, and prepare
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 The Real Y2K Problem (Math Chat)  Frank Morgan, MAA Online
Solution to the challenge: Every year in the millennium from 2000 to 2999 can be represented as the sum of consecutive integers, except one year. Which year cannot be represented as the sum of consecutive integers? New challenge: Where do you think you
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 Reasons for Studying (Learning and Mathematics)  Susan Bobbitt Nolen; Math Forum
In this 1988 article, "Reasons for studying: Motivational orientations and study strategies," Susan Bobbitt Nolen, of the University of Washington, argues that in order to foster meaningful learning and effective study strategies, teachers should reduce
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 Reassessing U.S. International Mathematics Performance: New Findings from the 2003 TIMSS and PISA  American Institutes for Research
"Despite a widely held belief that U.S. students do well in mathematics in grade school but decline precipitously in high school, a new study comparing the math skills of students in industrialized nations finds that U.S. students in 4th and
8th grade
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 Recent Earthquake Teachable Moments  Incorporated Research Institutions for Seismology (IRIS)
Incorporated Research Institutions for Seismology (IRIS) is a university consortium sponsored by the National Science Foundation (NSF), dedicated to the operations of scientific facilities for the acquisition, management, and distribution of freely available
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 Recherche dans MATHS France  Académie de Toulouse
Un moteur de recherche qui scanne tous les sites académiques en mathématiques.
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 Recommended Mathematics Literature  International Mathematics Olympiad (IMO)
A page of readings recommended by the International Mathematics Olympiad in association with Amazon.com Books. Major sections include: Problem Solving; Collections of Mathematical (Competition) Problems; Anthologies and Surveys; Number Theory; Analysis;
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 The rec.puzzles Archive
The index of the rec.puzzles archive. Puzzles are categorized by subject area and include solutions compiled from various sources and supposed to be definitive. Subjects include: analysis, arithmetic, combinatorics, competition, decision, geometry, group,
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 The rec.puzzles Archive  Massachusetts Institute of Technology (M.I.T.)
A list of puzzles, categorized by subject area, from the newsgroup rec.puzzles. Puzzles include solutions compiled from various sources, supposed to be definitive. Subjects include analysis, arithmetic, combinatorics, competition, decision, geometry,
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 rec.puzzles FAQs by Newsgroup  Dept. of Computer Science, Universiteit Utrecht
Information on the following topics: crosswords, analysis, arithmetic, combinatorics, competition, cryptology, decision, geometry, group, induction, Instructions, language, logic, physics, Pickover (Cliff), probability, reallife, references, series,
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 Recreational Mathematics  David Eppstein, Theory Group, ICS, UC Irvine
Some Web resources for recreational math, including links to Eppstein's pages own (Number Theory, Combinatorial Game Theory, and The Geometry Junkyard) and to pages by others.
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 Recreational Mathematics Topics  Steven Dutch; University of Wisconsin  Green Bay
Contents: Symmetry, Crystals, Polyhedra and Tilings: an extensive, illustrated collection including reflectional and rotational symmetry; repeating patterns in two and three dimensions; building crystal forms with unit cells; regular, Archimedean, radial,
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 Rectangle Pattern Challenges  Cynthia Lanius
Examine different stges of rectangle patterns, and describe what you must do to get from one to the next. Observe the designs looking for patterns. Use the symmetry of the design to help you count. Organize your information into a table. On square grid
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 Rectangle Perimeter and Side Length  NASA Lewis Learning Technologies Project
A rectangle with a perimeter of 24 inches might have adjacent sides measuring: 6 inches and 4 inches; 11 inches and 13 inches; 9 inches and 3 inches; or, 2 inches and 12 inches? A detailed answer is provided. From NASA's 9th Grade Math Proficiency Test.
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 Rectangular Parallelepiped, Cube Formulas (Ask Dr. Math FAQ)  Math Forum
Formulas for finding the surface area and volume of a rectangular parallelepiped and a cube.
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 Rectilinear Geometry (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on geometric problems defined on squares and rectangles, higher dimensional boxes, cubes, and hypercubes, right triangles and other rightangled figures, and "taxicab geometry" in which distances are measured
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 A Recursive Process  Dan Anderson
Anderson's blog, which dates back to June of 2010, has included posts such as "Robocode & Math," "Standards Based Grading," "Cake:Frosting (A look into a proper ratio of real math:cool tech)," "Paper Towels WCYDWT (What Can You Do With This?)," "Two
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 Recursos de Matemáticas en Internet  Flavio P.
Información buscable, dividida en categorías que contienen enlaces comentados: altas, actividades, actualización, apuntes, buscadores, congresos, debate, enlaces, Escher, fractales, historia, lista general, Olimpiadas, publicaciones,
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 Recycling Topology  Ivars Peterson (MathLand)
It's hard to miss the triangle of three bent arrows that signifies recycling. It appears in newspapers and magazines and on bottles, envelopes, cardboard cartons, and other containers. But have you noticed that there are two versions of this ubiquitous
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 Redecorator Fractal Wallpaper Manager  Seraline P/L, Sydney, Australia.
A wallpaper manager, or randomizer, and image creator for Windows 95/98/NT/2000. Redecorator can change your desktop wallpaper as often as you like, creating seamless tiles and fractals.
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 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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 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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 Regular Solids  Jim Loy
An elementary introduction to regular polyhedra, solid geometric figures with identical regular polygons as their faces and the same number of faces meeting at every corner (vertex).
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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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