 The Socratic Method: Teaching by Asking Instead of by Telling  Rick Garlikov
An example and explanation of how to use students' (including young children's) inherent reasoning abiltiy to guide them gently and easily into an understanding of difficult ideas.
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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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 SoftSchools.com  Mani Gudavalli
Free math worksheets and interactive online games for practicing times tables, adding, subtracting, telling time, and more. Organized into prek, kindergarten, grades 12, grades 34, grade 5, measurement, and fun games.
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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  Bill White
These Flash apps provide online practice deriving some unknown property of a figure given its other measures. Find the area of a trapezoid given its two base lengths and height; find one of its bases given its area and height; find its height given its
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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 Carpentry  Software Carpentry
Basic computing skills for scientists through selfpaced online instruction or short, intensive workshops ("boot camps" at universities and research facilities in the US, UK, and Canada). See, in particular, the free outlines and video lectures on MATLAB,
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 Software Development  Dept. of Mathematics, University of Arizona
A page with links to mathematical and graphics packages developed within the University of Arizona Mathematics Department. Researchrelated and instructional software, with packages related to computer algebra and raster graphics; vector graphics and
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 Software for Algebra and Geometry Experimentation  William Stein et al.
Free and open software for researching and teaching algebra, geometry, number theory, cryptography, and more. SAGE performs group theory and combinatorics (using GAP), symbolic computation and calculus (Maxima), commutative algebra (Singular), number
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 Software for Graphics and Data Analysis  S. Baum; Dept. of Oceanography, Texas A&M University
Links to software with descriptions, features, and where to find it, in (mostly) the following categories (or check out the complete alphabetical list): mostly graphics; mostly numerical analysis and number crunching; mostly data formats; commercial packages;
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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 from Alan J. Miller  Alan J. Miller
Dozens of FORTRAN downloads, organized into logistic regression, TOMS algorithms, special code for F and NAS compilers, code converted from the Naval Surface Warfare Center Library of Mathematics, miscellaneous other code, and applied statistics algorithms.
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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  School of Statistics, University of Minnesota
XLISPSTAT  a statistical environment based on a dialect of the Lisp language called XLISP; MacAnova, an interactive program for statistical analysis and matrix algebra; Rcode  software that accompanies the book, An Introduction to Regression Graphics,
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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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 The Solar System (SMILE)  Fred J. Schaal, Lane Tech High School
A lesson designed to make use of concentric circles and angles in excess of 180 degrees to construct a sketch of the nakedeyevisible planets of the Solar System (polar coordinates). From the Geometry and Measurement section of a collection of almost
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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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 Solid Gold Gnarly Math
A Windowscompatible CDROM for kids, homeschoolers, parents, and teachers, designed to teach algebra, geometry, numbers, trigonometry, topology, and probability. It contains games, magic tricks, and other fun things, along with a Math Lab where kids
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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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 Soliton Lab Art Gallery  Kanehisa Takasaki, Takasaki Lab, Kyoto University
The site contains a solitonlab as well as links to mathematics galleries. The special exhibition section contains links to related sites from around the world while the permanent exhibition section is an explanation of solitons with more
links to other
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 Solomon Papers  Sorin Solomon
Links to papers on microscopic representation of stock markets, and some papers on clusters and multiscale, artificial creativity and novelty emergence, Vision, psychophysics, and cognitive development, Sand piles, and Lattice QCD.
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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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 SolveMe Mobiles  Education Development Center, Inc. (EDC)
Colorful interactive hanging sculpture puzzles that challenge prealgebra and algebra students to balance equations by solving for unknown values. Freely solve over a hundred prehung mobiles or build your own and then contribute them to the SolveMe community.
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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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 The solving of Fermat's Last Theorem  Karl Rubin; Ohio State University Distinguished Lecture
Slides for a talk that tells the story of Fermat's Last Theorem for a general audience, including the history of the problem, the story of Andrew Wiles' solution and the excitement surrounding it, and some of the many ideas used in Wiles' proof.
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 Solving On Line problems of Inventory Control  G.B. Rubalsky
Online solver for special optimization problems, plus samples of problems, solution methods, algorithms and programs, which might be of interest to those involved in operations research, numeric optimization and stochastic processes.
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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 by Iteration [PDF]  Peter Doyle, Curt McMullen
This paper, which appeared in Acta Mathematica, gives explicitly a new solution to the quintic polynomial, in which the transcendental inversion of the icosahedral map (due to Hermite and Kronecker) is replaced by a purely iterative algorithm. The algorithm
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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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