 Snowflakes and Stars  Ignacio Dayrit
Graphic images of snowflakes with folding instructions to make from paper.
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 Snowflakes  Kenneth G. Libbrecht
"Your online guide to snowflakes, snow crystals, and other ice phenomena." Snow activities include instructions for using everday objects and dry ice to make your own snowflakes; for using glue to make plastic snowflake replicas ("snowflake fossils")
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 Soap Bubbles  Ron Hipschman; The Exploratorium
Why does a bubble form a sphere? Why not a cube, tetrahedron, or other geometrical figure? This site from San Francisco's Exploratorium provides information on the shape of bubbles and what happens when bubbles meet, with formulas for longlife bubble
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 Soap Film Models (SMILE)  Joan Pintozzi, Curie Metro. High School
A lesson designed to encourage students to conjecture, introducing the concept of minimum path and minimum surface area and practicing measurement of line segments and angles. From the Geometry and Measurement section of a collection of almost 200 single
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 Soap Films and Grid Walks  Ivars Peterson (MathLand)
A simple, physical demonstration of a mathematical truth can produce a lasting impression  one that inspires new questions and speculations. For Christopher C. Chang, a student at Henry M. Gunn Senior High School in Palo Alto, Calif., and one of 40 finalists
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 Social and Historical Aspects of Mathematics  Thompson, Wilkinson; Univ. of Wolverhampton (UK)
Math history: the development of counting systems and notations (includes Egyptian, Sumerian, Babylonian, and HinduArabic numerals); of notation and concepts in algebra; Changing systems of geometry from Euclid to Klein's programme (includes New Geometries,
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 Society of Actuaries
Actuaries are professionals trained in mathematics, statistics, and economic techniques that allow them to put a financial value on future events. This skill is of great value to insurance companies, investment firms, employee benefits consulting firms,
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 Society of Young Mathematicians  SYMs
A UK organization that motivates and encourages "all young people who enjoy mathematics." SYMS publishes articles, news, "things to do," calculator hints, book reviews, games, puzzles, and competitions in its newsletter, SymmetryPlus, and termly journal,
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 Sociological Foundations Supporting the Study of Cultural Diversity  Hugh Mehan, Univ. of California at San Diego
In order to understand the barriers to educational equality faced by lowincome cultural and linguistic minority youth, we need to understand the ways in which social class and ethnicity interact with language and culture. This paper examines various
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 Soddy's Formula  Pat Ballew
Descartes' Circle Theorem, an example of giving the credit to the wrong person. The formula is about the relation of the radii of four mutually tangent circles and is sometimes called the Kissing Circles Theorem: if four circles are all tangent to each
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 Sofist India  Sofist India
A software company that specializes in developing offtheshelf products and components (assemblies) using Microsoft .NET technology. The company also develops and maintains software packages and develops web sites. Its expertise lies in the fields of
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 Soft Mathematics: The Mathematics of People  Keith Devlin
Keith Devlin describes the blending of mathematics with other disciplines, an approach that is increasingly being adopted in the study of people and their actions.
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 Softmath  Neven Jurkovic
Developers of Algebrator, an automated tutor based on Maxima CAS that provides stepbystep solutions to algebra, trigonometry, and statistics problems, and exports answers to MathML. Demo and purchase Algebrator; use Softmath's free online software to
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 Softronics Inc.: An Educational Software Company
MMLogic: A MultiMedia Logic Design System (free fully functional trial version available); MSWLogo: A free Educational programming language that brings Windows and Logo together, now supporting 3dimensional geometry.
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 Software and Animations (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of pointers to specialized software, Java applets, video sequences, and other forms of interactive or animated geometry.
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 Software by Al Jarnow  ProtoZone Interactives
Webbased interactive software excerpted from pattern exhibits at the Long
Island Children's Museum, the National Museum of Science and Industry (London),
and the Brooklyn Childrens's Museum. Introductions to art and math with many patternmaking
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 Software for mathematics education  Piet van Blokland
Software for mathematical education that draws on David Tall's philosophy of teaching: use Graphic Calculus to visualize, explore, and conceptualize the graph of a linear function; analyze the data and simulations included with VUStat to learn statistics
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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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 Software (Mathematics Archives)  University of Tennessee, Knoxville (UTK)
An extensive collection of links to software, with abstracts and reviews, organized in four different ways: by platform (Macintosh, MSDOS) and then by subject; interactive texts (using a commercial package such as Mathematica, Maple or Mathkit to interact
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 Software's Origin  Ivars Peterson (MathTrek)
Librarian Fred R. Shapiro of the Yale Law School in New Haven, Conn., searched for the word software among scholarly journals electronically archived in the JSTOR database and found that the term software used to describe computer programs dates back
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 The Solar System and Space Technology  Eddie B. Rose Jr.  YaleNew Haven Teachers Institute
A unit that presents a modularized, individualized problemsolving scientific/mathematics packet that can be adapted for grades K12. The contents focus on space exploration and its relation to science and mathematics. The curriculum is
design to integrate
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 Soler's Fractal Site
Fractal galleries of images made using Tierazon and other programs, links, downloads of fractalgenerating programs, and articles on fractals.
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 Solids Workshop  FacticsMax
A program that allows you to select a square, triangular, pentagonal, or hexagonal prism, pyramid, or frustum; or a cylinder or cone, choose the height, side, (and frustum height) you desire, and print out a net pattern that will fold up into the selected
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 Solitairey Sequences  Ivars Peterson (MathTrek)
Solitaire on the computer screen  called Klondike or Idiot's Delight, this form of solitaire has resisted mathematical analysis. Partly because Klondike involves player choice, no one has yet been able to construct a mathematical model of the game from
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 Solutions to Heinemann AS/A Level text books  George Ierotheou
To provide ample examples of how to apply the key methods and techniques used at AS/A level.
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 Solve Equations by Successive Approximations in Your Spreadsheet  P. Russell
Approximation formulae to compute real and complex solutions of equations in a spreadsheet. The site includes an introduction to slope and derivatives.
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 Solve for n  NASA Lewis Learning Technologies Project
Solve for n: 3/n = 7/12. A detailed answer is provided. From NASA's 9th Grade Math Proficiency Test.
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 Solve for y  NASA Lewis Learning Technologies Project
Solve the following for y: 12y  16 = 20y. A detailed answer is provided. From NASA's 9th Grade Math Proficiency Test.
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 Solve My Maths
Blog of "puzzling questions that purposefully minimalise the amount of information explicitly given," written by a teacher for whose students "finding the answer isn't even the goal — it's trying to see if there's a way through." Posts of brain
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 Solve My Math  Solvemymath
Online math integrals calculator, derivative calculator, function grapher, math formulas and facts, math quizzes and puzzles.
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 Solve This!  ThinkQuest 2003
Information about eight famous mathematicians, with interactive quizzes, static problems and games.
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 Solving Equations  Don Cohen (The Mathman)
Make equations or open sentences true by guessing. Equations with X's on both sides; quadratic equations (11 ways to solve a quadratic equation); using balance pictures to solve equations. Sample problems with some answers from Chapter 8 of Don Cohen's
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 Solving Inequalities with One Operation  Internet Academy (IA)
Stepbystep instructions for learning how to solve and graph inequalities, with problems and solutions.
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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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 Solving Math Word Problems  Hal Schneider
A selfhelp tutor for grades 612, remedial math (all levels); and adults. Chapter titles: Elementary Math Rules; Working with "ONE"; Working with Fractions; The ' Word/Fraction' Technique; Elementary Algebra, Factoring & Ratios; Common Forms of Equations;
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 Solving Quadratic Equations  Prakash Sukhu
Introduces the general form of the quadratic equation, and shows how to solve the quadratic equation step by step. Includes methods of factorisation and completing the square, questions to test your knowledge, and an online equation solver with which
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 Solving Rubik's Cube  David Lee Winston Miller
A "bestfast" Arity Prolog program and demonstration of an efficient heuristic search method to solve Rubik's Cube. Examine the cube's topography (its flat layout) and "submachines." Documentation includes "Understanding the problem," "Why this approach
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 Solving Simple Linear Equations  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about solving simple linear equations by inspection, elimination, substitution, intersection, and graphing.
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 Solving Systems of Linear Inequalities  Internet Academy (IA)
Stepbystep instructions for learning how to solve systems of linear inequalities by graphing.
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 Solving the Quintic with Mathematica  Wolfram, Inc.
Solving the Quintic  The impossibility of solving general quintics in radicals, Tschirnhaus's transformation, Klein's approach to the quintic, Solutions based on series, Solutions based on differential equations, Equations of higher degree. Steps to
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 Solving the Rubik's Cube  Matthew Monroe
Instructions, popularized by Minh Thai, the National Champion cube solver, for solving a 3x3x3 Rubik's Cube. Also, instructions for how to solve a cube when it has oriented pictures on each face. Directions for solving a 2x2x2 Rubik's mini cube, the professor
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 Solving Word Problems: Applications of Exponential and Logarithmic Functions (S.O.S. Mathematics)  Dept. of Mathematical Sciences, Univ. of Texas at El Paso
To solve an exponential or logarithmic word problem, convert the narrative to
an equation and solve the equation. Includes discussions of problems dealing with interest rates, mortgages, population, radioactive decay, and earthquakes.
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 Solving Word Problems (SMILE)  Barbara Trotter, O. A. Thorp Scholastic Academy
A lesson for intermediate and upper grades designed to teach students several different techniques for solving word problems. From the Practical and Applied Math section of a collection of almost 200 single concept lessons by the Science and Mathematics
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 The Soma Cube Puzzle  Modvix
Purchase the Soma Cube. Piet Hein, a Danish poet and inventor, visualized the set of all irregular shapes formed by no more than 4 cubes, each of the same size, and realized that the seven simplest irregular combinations of cubes can form a larger Soma
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 Some Golden Geometry  Rashomon (K. Wiedman)
The Golden Mean is a ratio that is present in the growth patterns of many things  the spiral formed by a shell or the curve of a fern, for example. This page (also found at http://tony.ai/KW/goldengeom.html) gives instructions for constructing the Golden
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 Some Problems & Puzzles  Nancy Casey
Problems inspired by math books (Instant insanity; Penrose rhombs) and friends Larry Copes and Mike Fellows (BikePed, Idaho  also known as Muddy City).
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 Some Solid (Threedimensional) Geometrical Facts about the Golden Section  Ron Knott
Phi and threedimensional geometry  Dice Shapes; Coordinates and other statistics of the 5 Platonic Solids; The Greeks and the platonic solids; Quasicrystals and Phi; Footnotes on Plato and Euclid, and on shapes for fair dice.
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 Some Things I've Written  Jennifer Gutbezahl
Research from the author's doctoral studies in social psychology. Gutbezahl's dissertation focused on how attributions for success and failure in mathematics affect how well students do in math class: "How Negative Expectancies and Attitudes Undermine
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 Some Thoughts on Measurement  Harold Brochmann
All measurements inherently have limited precision; it isn't sensible to give credence to measurements if you are dealing with a piece of ordinary paper and an ordinary wooden or plastic ruler, no matter how careful the person measuring has been. This
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 Sometimes We Learn Some Math Too  Jacqueline Sheppet
Blog by a high school teacher in British Columbia. Posts, which date back to September, 2014, have included "Purple is the new math," "Forming a formative mindset," "A formula to understand," and "Do the ends justify the means?"
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