 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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 Reason and Wonder  Michael Fenton
Blog by a Fresno (California) junior high and high school mathematics teacher. Posts, which date back to March, 2013, have included "Estimation 180 Rocks"; "Quadratics Matching Activity, Take 2"; "Solved the Student Engagement Problem Yet? Me Neither";
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 Reasoning Mind  Reasoning Mind Inc.
Reasoning Mind is a nonprofit organization. It's also a core curriculum based on programs proven successful in Russia, China, and Singapore. A Reasoning Mind classroom combines a teacher and the computer, aiming to get kids so interested in math they'll
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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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 Rebecca Newburn
Links to this California teacher's Math 7 blog, and to her professional blog, a "fusion of best teaching practices, integrating technology and increasing compassion in and outside of the classroom." See also Newburn's select compilation of explanations,
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 Rebuilding an Empire  Mike Waechter
Blog by a middle school math teacher in northern California. Posts, which date back to March, 2015, have included "The Good, The Bad and A Moment"; "NBA Desmos Scatter Plots"; and "Barbie Zip Line."
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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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 Recent Papers in Category Theory  Prof. George F. Nassopoulos
Recent papers in Category theory and its applications to functional analysis, global analysis, and abstract differential geometry.
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 Recent Progress in the Theory of Elliptic Curves  Henri Darmon
An abstract of Henri Darmon's and Bertolini's work, which approaches a padic variant of the Birch  SwinnertonDyer conjecture, for curves of rank higher than one.
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 Rechneronline  Jürgen Kummer
Online mathematics calculators for geometric figures and bodies; statistics; checksum; golden ratio; averages and other measures of central tendency; prime factorization; logarithms; probability; trigonometry; graphing functions; linear algebra; combinatorics;
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 Recipes for Pi  Anna Weltman
Blog born partly "out of a mixture of enthusiasm and anger about the ways that the world learns and shares math." Posts, which date back to February, 2012, have included "Tinker, Tinker, Algebra Student"; "Beauty Is a Math Art Class"; "The Mathematics
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 Reciprocity Laws  Franz Lemmermeyer
Reciprocity Laws. From Euler to Eisenstein has just appeared in SpringerVerlag Heidelberg. It is an updated version of Chapters 1  11 as they used to be available at this site; the table of contents with ps and pdf files of Chapter 11 (corrected version)
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 Recognizing Numerical Constants (Organic Mathematics Proceedings)  David H. Bailey, Simon Plouffe
Article and presentation. Abstract: The advent of inexpensive, highperformance computers and new efficient algorithms have made possible the automatic recognition of numerically computed constants. In other words, techniques now exist for determining,
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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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 Record E  Ernest Kuch, President
Digital teaching and learning resources in mathematics, aligned to the NCTM Standards, from a Canadian publishing company. Math Support and Resource Base, tutorials, Testbanks, and workbooks on the Web.
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 The Recovering Traditionalist  Christina Tondevold
Blog by a "former middle school math teacher who learned, and taught, math the traditional way. That was until I realized that many of my students did not learn math the same way I did. So, I embarked on a journey to increase my understanding of mathematics
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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  MAA Online
From the Mathematical Association of America's Basic Library List  a bibliography of articles (in print, not on the Web) on Recreational Mathematics: Games and Puzzles; Puzzle Collections; Contests and Problems; Martin Gardner; Miscellany.
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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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 Recursion in Space  21 Isometric Models  Ernest V. Miliauskas
Mathematical constructions, subassemblies or subsets of an infinite set, presented in a slide show that demonstrates the author's interest in symmetric threedimensional forms. From chalk talks in advanced spacial studies given at Ryerson University
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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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 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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 The REDUCE Computer Algebra System  Anthony C. Hearn
An interactive program designed for general algebraic computations of interest to mathematicians, scientists and engineers. Capabilities include: expansion and ordering of polynomials and rational functions; substitutions and pattern matching; automatic
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 The REDUCE Computer Algebra System  Anthony C. Hearn; RAND
An interactive program designed for general algebraic computations of interest to mathematicians, scientists and engineers. Its capabilities include:
expansion and ordering of polynomials and rational functions; substitutions and pattern matching in
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 Reducing/Simplifying Fractions  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about reducing and simplifying fractions, such as "How do you know when a fraction is in its simplest form?" and "What is the easiest method of reducing fractions to lowest terms?" and "Should fractions always be reduced
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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 in the Plane  Bridget Dunbar
Blog by an instructional resource teacher in a middle school in Maryland. Dunbar describes herself as having "loved math my entire life" and a person who does not "remember having a bad teacher — only teachers who made me love math more. I even
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 Reflections in the Why  Chris Hunter
Blog by a K–12 numeracy helping teacher in Vancouver. Posts, which date back to September, 2010, have included "Linear Functions — Concretely, Pictorially, Symbolically"; "Math Manipulative of the Month — Base Ten Blocks"; "A Linear Functions
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 Reflections of a High School Math Teacher  Dave Sladkey
Blog by a teacher at Naperville (Illinois) Central High School. Posts, which date back to March, 2008, have included "Thinking Blocks," "School is a Place to Learn from your Mistakes," "More on When Students Teach," "Pop Goes the Weasel and the Quadratic
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 Reflections of a Techie  Marsha Ratzel
Reflections "on using 21st century technologies to amplify learning," as blogged by a selfdescribed nerd who teachers middle grades math. Posts, which date back to July, 2003, have included "Finding the Little Truths of Math"; "Rational numbers need
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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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 reflectivemaths  Dave Gale
Blog of "ideas as well as the odd resource" by an Advanced Skills Teacher (AST), SSAT Lead Practitioner and member of the TES Maths panel. Posts, which date back to December, 2010, have included "Mereside yr6 Daily Maths Challenge," "When Mathematicians
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 Reflex  ExploreLearning
This gamebased system helps students develop instant recall of basic math facts (addition, subtraction, multiplication, and division), continuously monitoring performance for individualized instruction. Download a trial, take tours of the software package,
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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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 Regression Tools
Online, Flashbased regression tools for linear, logarithmic, exponential, power, polynomial, multiple linear, multiple polynomial, and nonlinear regression.
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 RegressIt  Robert Nau
This free Excel addin macro (xlam) performs multivariate descriptive data analysis, multiple linear regression (with forecasting), and variable transformations. Fitting models with up to 50 variables at one time and up to 32,000 rows of data, RegressIt
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 Regular Graphs  Markus Meringer
Tables of simple connected kregular graphs on n vertices and girth at least g with given parameters n,k,g.
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