 Roman Numerals 101  Oliver Lawrence
The Romans used only seven letters; the combination of a letter and its position could represent any number. They also used a line above the letter, so the numbering system actually represents our own very closely, with fourteen different symbols. The
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 Roman Numerals and Dates  Paul Lewis
An illustrated introduction to Roman numerals, including Roman dates and calendar conversion, history and uses, a page on The Great 1999 Question, and a quiz. Three conversion tables are provided: Numerical 11449; Numerical 14502100; and Alphabetical
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 Roman numerals and decimals (Classics log)  John Durham
A letter to a Classics mailing list about the origin of and ease of calculation with Roman numerals.
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 Roman Numerals Defined  Jim Loy
A listing of some common Roman numerals and a short explanation of how they work.
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 Roman Numerals  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about Roman numerals, such as how they represented decimals and fractions; with memory aids for remembering what letter represents what value.
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 RomanNumerals.org  John Barth
Lessons, worksheets, online games, and quizzes for practicing Roman numeral counting and arithmetic.
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 Rounding Numbers  Math Forum, Ask Dr. Math FAQ
How do you round a number to the nearest tenth (10th), hundredth (100th), thousandth (1000th), etc.?
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 Rounding Seconds  NASA Lewis Learning Technologies Project
Erv ran the 110 meter high hurdles in 13.27 seconds. His teammate, Willie, ran the same race in 12.91 seconds. Rounded to the nearest tenth of a second, how much faster was Willie's time? A detailed answer is provided. From NASA's 9th Grade Math Proficiency
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 SAM Learning  SAM Learning Ltd.
U.K. exam revision (review) for A Levels (age 1618), GCSEs (age 1416) and SATs (KS3, age 1114; KS2, age 711; KS1, age 57). Draganddrop exercises and online tests of math knowledge.
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 SAMMO  Sinclair, Nathalie; Murphy, Pat; et al.
Tools for exploring, creating, and doing mathematics. Sinclair's Java applets let middle school students explore appealing mathematical situations not normally included in school curricula while using fractions, ratios, decimal numbers, and other concepts
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 Science, Engineering, and Technology for Youth  eXtension
Lessons, news, articles, answers from experts, a glossary, and other science resources for young people. See especially Math in Child Care, which organizes suggestions for developing children's mathematical foundations into topics such as onetoone correspondence
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 The Secret Lives of Numbers
A Java applet histogram exploring the relative popularity and cultural associations of every integer between 0 and one million. Numbers such as 212, 486, 911, 1040, 1492, 1776, 68040, and 90210, for example, occur more frequently than their neighbors
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 Segments of Circles  Math Forum, Ask Dr. Math FAQ
Given partial information about a segment of a circle, how do you compute what you want to know?
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 Semple Math  Stevenson Learning Skills
Do you count on your fingers to add and subtract? Using a sequence of images, songs, rhymes, stories, associational clues, and other mnemonics to teach and build learning, Semple Math is a mathematics program for beginning, highrisk and/or remedial students
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 Seussville  Random House, Inc.
Download Dr. Seussillustrated PDFs that practice counting: Add with Cat, Count the Birds, Turtle Tower, Bartholomew's Hats, Terrific Tigers, Bofas, More Trees, and How Many?
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 Shelley Walsh
Syllabi and notes for math courses from arithmetic review to beginning calculus. Download MathHelp a tutorial program with problem sets for Mac or PC, or learn how to use MathHelp to create your own tutorials. Brief Mathematics Articles present concepts
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 Shockwave Montessori Arithmetic Games  OurMontessori
Materials designed to accompany a Montessori program, suitable for any student. A link to download Shockwave Player is included. Contents: Stamp Game  use with children ages 47 for addition and subtraction; Large Bead Frame  extends basic addition
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 Simple Minds, Smart Choices  Bruce Bower  Science News Online
The Center for Adaptive Behavior and Cognition at the Max Planck Institute for Human Development in Berlin has launched a project to explore the impact of bounded rationality on human judgment. The group focuses on what it calls "fast and frugal" formulas
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 Sketchpad Activities for Young Learners: Grades 35  Nathalie Sinclair
This collection of activities for grades 35 offers examples of the ways in which Sketchpad can be used across the range of mathematical subject areas in the elementary curriculum.
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 Skillswise  BBC Online
Factsheets, worksheets, quizzes, and Flash games on whole numbers; measures, shape and space; fractions, decimals and percentages; and handling data. Resources for tutors include lesson plans, printable tracking sheets, a newsletter, and an expert column
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 SMART: Science and Mathematics Advancement and Resources for Teachers  Los Angeles Educational Partnership
A program designed to help teachers in Los Angeles County (California, USA) develop their professional teaching skills and content knowledge. Links for Teachers, Students, Businesses and Institutions, Parents, and Community Members. Includes the SMART
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 snark (Spanish Math Puzzles)  Universidad de Buenos Aires, Math Forum
Contributions are only in Spanish. Una lista de correo electrónico dedicada a la matemática recreativa, los problemas de lógica recreativa, juegos de tablero y problemas sobre ellos, rompecabezas geométricos (poliominós,
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 Software for Texas Instrument Calculators  Nevil Hopley
A collection of teaching programs for Texas Instruments calculators. Developed and tested in classrooms since 1998, the programs make the TI83, TI83+ & TI83+ Silver Edition more than just a calculator. Order by program, age group (ages 1218), or topic
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 SolvingMathProblems
Type up your math questions for free help or see stepbystep instructions on solving problems that involve sets, equations, exponents, roots, or real numbers, such using the number line to compare two decimals or using direct comparison (equivalence)
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 Songs that Teach Math  Twin Sisters IP, LLC
Songs for learning numbers and counting, addition, subtraction, multiplication, and division, available as mp3 singles or "Rap with the Facts" albums. More music available from http://www.smartvlearning.com/musicdownloadsmathcat.html
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 SpreadsheetZONE  Pagos, Inc.
This repository of Microsoft Excel spreadsheet templates contains a category of math learning tools that covers topics such as base system conversion, exponential functions, logarithmic functions, Cartesian coordinates, derivatives, goodness of fit, polar
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 Sproglit  Sproglit LLC
Creators of "Kyle Counts" and other resources based on the Math Arrow, a zigzag arrangement that uses shape and color to reveal properties of the natural numbers 1100. Blog posts, which date back to February, 2013, have included "What We Learn from
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 Student Activities from Jefferson Lab's BEAMS Program  Steve Gagnon
Middle school science and math activities from Jefferson Lab. Each activity includes a teacher overview, student and teacher materials which may be viewed online or downloaded in PDF format, and a list of the relevant Virginia State Standards of Learning.
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 Stupid Calculations  Josh Orter
Repository "where practical facts get rendered into utterly useless ones." Posts, which date back to May, 2013, have included "Monophone," musing on the size of the screen made from ripping the displays out of every iPhone ever sold and combining them
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 SUMS Online Mathematics  SUMS ONLINE Limited
Eighty core activities in handling data, shape and space, calculations, and numbers. Trial sample activities in the playground: Fraction Monkeys, Bracket Basics, Fruit Picker (angle rotation), Place Value Darts, Hidden Craft (grid positioning), Division
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 Susan C. Levine  The University of Chicago
Biography, courses, and more about Levine, the codirector of the Center for Early Childhood Research. Her freely downloadable articles include "Early puzzle play: A predictor of preschoolers' mental rotation skill"; "The role of parents and teachers
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 SysteMATHics  Sigurd Andersen
Based on a discipline started by John G. Bennett, systematics is an attempt to understand the meaning implicit in number. The three areas of mathematical exploration covered are triadic numbers; ngrams, number patterns expressed graphically using the
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 Table of numbers problem  Dario Alpern
Place the natural numbers between 1 and mn in a table of m rows by n columns, so that the sum of the addition of the products of the numbers that compose the rows plus the addition of the products of the numbers that compose the columns is as low as possible.
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 Taking a Workshop or Course  Annenberg Media
Workshops and courses appropriate for preservice and inservice teachers, administrators, reformers, and policymakers. Supplemental video programs called teaching practices libraries are also availablethey give a "flyonthewall" view of real teachers
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 Taking Games Seriously  Cut the Knot!, Alexander Bogomolny
In the twenty years since it first appeared, Winning Ways for Your Mathematical Plays had become a classic and a rarity. So did its companion book, On Numbers And Games, which was written in just about a week by one of the WW's authors and saw the light
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 Taxicab Numbers  Simon Plouffe
A list of the smallest number that can be expressed as a sum of two positive cubes in n different ways, for n = 1 through 5.
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 Teaching  Peter Alfeld, University of Utah
A page of teaching resources intended primarily for Alfeld's University of Utah students, but useful to others as well. Includes a passage from Richard Feynman on teaching; Understanding mathematics  a study guide; current and past courses (Analysis
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 Teaching Pets  Andy Davis
See the math resources section of this collection of worksheets and related resources for the primary and middle grades teachers.
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 Team Umizoomi  Viacom International Inc.
Milli, Geo, and Bot solve everyday math problems with their "Umifriend" preschoolers. Get Mighty Math crafts, games, printables, and recipes. Download episodes of this animated liveaction series broadcast on Nickelodeon's Nick Jr. television show.
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 Tell A Number Trick (Magic of Numbers)  Paul Chika Emekwulu
A number trick, with an algebraic investigation and an explanation. From Novelty Books and Articles OnLine.
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 Tetrakys
Interlooping equilateral, isosceles, and scalene triangles for building two and threedimensional geometric objects, exploring area and volume, and visualizing fractions and arithmetic operations. The foam composition of these colorful manipulatives
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 Three Years Of Computing: Final Report on the Palindrome Quest  John Walker
"Pick a number. Reverse its digits and add the resulting number to the original number. If the result isn't a palindrome, repeat the process. Do all numbers in base 10 eventually become palindromes through this process? Nobody knows." The story of a
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 Tools for Understanding  John Woodward; University of Puget Sound
A resource guide for extending mathematical understanding in secondary schools, for educators who teach mathematics and are interested in integrating common
technologies into their daily instruction. Onsite strands (Math Concepts with lessons related
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 Topics in Arithmetic and Elementary Mathematics  E. Lee Lady; University of Hawaii
Materials used in a university course for prospective elementary school teachers, to teach them how to be interested in mathematics. Materials are in PDF and DVI, and include: representing numbers in other bases, divisibility tests, periodic decimal expansions,
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 TouchMath: Multisensory Math Supplements  Innovative Learning Concepts, Inc.
The TouchMath Method is a multisensory approach to teaching basic number concepts, addition, subtraction, multiplication and division. TouchMath integrates digits 1 through 9 with a corresponding number of "touchpoints." Students physically touch each
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 Triangular Numbers
Triangular and square numbers, presented with numeric, algebraic, and geometric illustrations, proofs, and formulas.
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 The Twelve Days of Christmas and Pascal's Triangle  Judy Brown, DIMACS and The Math Forum
A lesson in which, using Pascal's triangle, students find the number of items given each day in the song, "The 12 Days of Christmas."
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 The Twelve Days of Christmas  Judy Brown, DIMACS and The Math Forum
A lesson in which students find the number of items given each day in the song, "The 12 Days of Christmas." This project is designed to be used as a warmup activity during the 12 days preceding Christmas.
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 Two Points of View  Tom O'Brien
"Children are not stones or recording devices. They are, first of all, sensemakers." In summarizing his work with practicing teachers on the four basic operations, the author responds to H. H. Wu's article, "What's Sophisticated about Elementary Mathematics?"
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 Twos Complement  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about two's complement, a way to encode negative numbers into ordinary binary so that addition still works.
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