 Constructing SemiRegular Tilings  Kevin Mitchell
A document based on a talk given at the Spring 1995 Meeting of the Seaway Section of the Mathematical Association of America. Contents include: Introduction and Historical Background; Notation and Definitions; General Theorems; Hyperbolic Results; and
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 Constructions with ruler and compass
 Zef Damen
A page that answers the question, What are rulerandcompass constructions? With links to stepbystep drawings for constructions: bisecting a given angle; constructing: a line perpendicular to a given line that divides it into two equal parts; a line
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 Constructivism and Education: A Shopper's Guide  Moses A. Boudourides
A brief review of the various streams of constructivism in studies of education, society, science and technology: philosophical, cybernetic, educational, and sociological. A paper presented at the International Conference on the Teaching of Mathematics
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 Constructivism and Mathematical Concepts  Pathways to School Improvement
A discussion of constructivism as it relates to teaching mathematics. A list of reflective questions for teachers and references is included.
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 Constructivism and the Five E's: The pH Factor  Miami Museum of Science
Constructivism is a philosophy about learning which proposes that learners need to build their own understanding of new ideas. To introduce the pH factor to students in a constructivist way, the Miami Museum of Science adapted their "Seven Es" (Excite,
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 Constructivism  Classroom Compass
The winter 1994 issue of Classroom Compass explores this theory of learning, including a brief literature summary and suggestions for the constructivist classroom. Two instructional activities (Which Container Holds the Most? for younger children and
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 Constructivism in mathematics education  what does it mean?  John and Annie Selden; The Math Forum
A presentation given at the Joint AMS/MAA Mathematics Meetings, January 1996, Orlando, Florida. Includes an annotated bibliography: Kinds of Constructivism.
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 Constructivism in Science and Mathematics Education  Michael R. Matthews
Matthews discusses constructivism, its scope and influence, and looks at the particular case of New Zealand, in this article from the 99th Yearbook of the National Society for the Study of Education.
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 Constructivism in the Classroom  Mathematics Education at the Math Forum
The Math Forum's suggested sites on constructivism in math education, including projects and Web resources (conference sessions, articles, reports). See also our page of selected Internet sites with a constructivist orientation or that offer readings
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 Constructivism: Vygotsky and the Internet  Mathematics Education at The Math Forum
The ideas of Lev Semenovich Vygotsky have sparked considerable thought on the topic of constructivism. The Math Forum has collected a list of links to sites, projects, and articles about Vygotsky, constructivism, and the Internet, including comparisons
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 A Constructivist View of Science Education  University of Massachusetts Physics Education Research Group (UMPERG)
Four premises of constructivism: knowledge is constructed, not transmitted; prior knowledge impacts the learning process; initial understanding is local, not global; and building useful knowledge structures requires effortful and purposeful activity;
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 Constructivist Views of Learning in Science and Mathematics (ERIC Digest)  Drew K. Ishii
An examination of constructivism and its implications for the classroom, with web and print resources for additional study.
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 Constructor  Soda
Constructor animates and edits twodimensional models made out of masses and springs. The springs can be controlled by a wave to make pulsing muscles, and you can construct models that bounce, roll, walk, etc. Try some of the readymade models or build
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 Conteúdos Digitais em Matemática para o Ensino Médio  Kaleff, Ana Maria; and Humberto José Bortolossi  Universidade Federal Fluminense
Educational Java applets and lesson plans in Portuguese. Topics include real functions, algebra, permutations, polygons, tangrams, conic sections, solids of revolution, and other two and threedimensional geometry, which includes the Englishlanguage
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 Contentbased Image Retrieval Project  Computer Science Department, Stanford University
Project group members; online demos; SIMPLIcity: Semanticssensitive Integrated Matching for Picture LIbraries; related links.
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 Content Knowledge: The McREL Standards Database  Midcontinent Regional Educational Laboratory (McREL)
A compendium of standards and benchmarks for K12 education. Browse or search the standards, which treat subject areas from math and science to language arts and physical education (e.g. Mathematics Standards.)
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 Contexts for Learning Mathematics  Catherine Fosnot
Heinemann's supplemental series uses "carefully crafted contexts" and mathematical "situations" as starting points to support learning through investigations.
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 Continental Mathematics League (CML)
Information about the Continental Math League, including samples and solutions from CMLs for grades two and three, Pythagorean for grades 49, Euclidean for grades 49, and calculus. Also, order Best of CML books containing questions, and obtain the competition's
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 Contingency Analysis  Glyn Holton
Information on financial risk management, including value at risk, derivative instruments, credit risk and financial engineering. Discussion groups of risk management professionals; fundamentals, with an overview of enterprise risk management; research
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 Continued Fractions and Chaos (Organic Mathematics Proceedings)  Robert M. Corless
From the Proceedings of the Organic Mathematics Workshop. This paper is meant for the reader who knows something about continued fractions, and wishes to know more about the theory of chaotic dynamical systems; it is also useful for the person who knows
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 Continued Fractions: an Introduction  Adam Van Tuyl
A brief introduction to the field of continued fractions, including some basic theory about the subject; the history of continued fractions, tracing some of the major developments in the field in the past 2500 years; some interactive applications that
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 Continued Fractions  David P. Stern
A short elementary exposition of continued fractions, without proofs. Students usually know that any number (e.g. pi) can be approximated to any desired accuracy by decimal fractions, but this method does the same using ordinary fractions. Examples include
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 Continued Fractions, Infinite Continued Fractions, and Iteration  Don Cohen, The Mathman
Ten different ways to solve a quadratic equation  an area of mathematics with applications to population increase, finding the square root of a number, chaos theory, and fractals. Sample problems from Chapter 8 (Solving Equations and Iteration) of Don
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 Continued Fractions With A Calculator (SMILE)  Fred J. Schaal, Lane Tech High School
A lesson designed to teach students how to evaluate continued fractions by taking many reciprocals with a calculator. From the Arithmetic section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning
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 Continuing Studies and Corporate Education  University of Massachusetts Lowell
The UMass Dartmouth and UMass Lowell Divisions of Continuing Education offer a selection of standard, fullcredit university courses offered over the web. Students and faculty use the World Wide Web, email, chat and other Internet resources to review
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 Continuous Everywhere but Differentiable Nowhere  Sameer Shah
Blog by a high school math teacher in Brooklyn (NY), beginning shortly before teacher training and orientation, upon realizing that the textbook "completely limits me as a teacher and as a creative person" and who subsequently sets out to "design clear,
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 Continuous Nowhere Differentiable Function  Michal Wojcik
A proof of the existence of a continuous function f:[0,1]>[0,1] that is nowhere differentiable. This proof uses the Banach Contraction Principle.
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 Contour plots with trigonometric functions  Eric Weeks
A method of making interesting nonmoiré patterns. See also his pages on Lissajou figures, Polar Flowers, and Spiral triangles.
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 Contradancing and Matrices  Ivars Peterson (MathLand)
Bernie Scanlon, a mathematics instructor at Bakersfield College in California, has been dancing nearly every weekend since 1990, even traveling to distant parts of the country to join in the fun. His passion is contradancing  a dance form unknown to
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 Contrasting Cases  Star, Jon R.; RittleJohnson, Bethany; and Newton, Kristie J.
Evaluating the value of students explaining contrasting examples. With funding from the Institute for Education Sciences and the National Science Foundation (NSF), this project compared learning from contrasting examples to learning from sequentially
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 Contributions of 20th Century Women to Physics  Nina Byers; Department of Physics & Astronomy, University of California at Los Angeles
A searchable archive of data on 86 twentieth century women who have made original and important contributions to physics, including to the field of mathematical physics. Graphics include an annotated photo gallery and a poster montage of famous females
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 Conundrum Corner  UselessKnowledge.com
Math puzzles to solve, get the answers to, or send to friends. Also, Visual puzzles, Thinking puzzles, and other conundra.
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 Convergence  Mathematical Association of America (MAA)
An online magazine encouraging the use of mathematics history as a learning and teaching tool. Convergence will include: math history articles that have a special pedagogical or learning appeal; sharing of classroom experiences; animated mathematical
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 Conversation about A Beautiful Mind, with Sylvia Nasar and Dave Bayer  archived by the Commonwealth Club of California
A conversation with Sylvia Nasar (biographer of John Nash) and
Dave Bayer (math consultant on A Beautiful Mind). Streaming audio
of event sponsored by MSRI that took place May 2002.
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 Conversion Factors  Washington State Department of Transportation
Conversion tables between U.S. customary units and SI (International System) units. The proper conversion procedure is to multiply the specified value on the left (primarily U.S. customary values) by the conversion factor exactly as given below and then
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 Conversion Page  Keith Hooker
Convert to and from U.S. fluid/dry and metric measures: quarts, cups, teaspoons, gallons, fluid ounces, tablespoons, liters, milliliters; pounds, ounces, grams, kilograms.
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 Conversion Program  Lawrence Goetz
A page that uses JavaScript to convert temperature between Fahrenheit and Celsius, length among inches, centimeters, feet, yards, meters, miles, and kilometers; weight among grams, ounces, pounds, and kilograms; and volume among fluid ounces, cups, pints,
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 ConvertAuto.com  Lilly Hammond
JavaScript calclulators for instant online conversions: angles; area; cooking, such as teaspoons (tsp) and quarts (qts); foreign currencies; density; energy; force; frequency; fuel economy, such as miles per gallon (mpg); length; power; pressure; speed;
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 The Converter Site  Alastair Hazell
A user friendly metric and imperial converter tool. Converts length, area,
weight, speed, temperature, time, energy, force, length, mass, power and
currency.
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 Converting Celsius To Fahrenheit (SMILE)  Amaechi Onyeali, Carter Elementary School
A lesson designed to teach students to solve multiplestep equations involving addition, multiplication, and division; convert a known temperature in celsius to an equal temperature in fahrenheit; and accurately read a thermometer in degrees celsius.
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 Converting Fractions to, from Decimals  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about converting fractions to decimals and back, including how to convert repeating decimals to fractions.
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 Converting Inches to Miles  NASA Lewis Learning Technologies Project
The scale on a road map is 1 inch = 250 miles, how many inches would represent 1250 miles? A detailed answer is provided. From NASA's 9th Grade Math Proficiency Test.
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 Converting Tons to Pounds  NASA Lewis Learning Technologies Project
A loaded moving van weighs 5 tons. How many pounds would 10 loaded moving vans weigh? A detailed answer is provided. From NASA's 9th Grade Math Proficiency Test.
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 Convert It!  Micro Images Internet Services
Conversion tables: enter a number and convert from one unit to another: acceleration, area, energy/work, power, length, mass, metrology, pressure, temperature, volume, U.S. fluid/liquid, and velocity conversions are all possible.
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 Convertme.com  Mariya Voznesenskaya and Sergey Gershtein
Online converter of areas, capacities and volumes, circular measures, computer storage, currencies, distances and lengths, energy and work, fuel consumption, power, pressure, speed, temperatures, time, torque, weights and masses. Convertme.com offers
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 Convex Hull Algorithms  Tim Lambert
An applet that demonstrates some algorithms for computing the convex hull of points in three dimensions. See the points from different viewpoints; see how the Incremental algorithm constructs the hull, face by face; while it's playing, look at it from
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 Cool Cosmos  Education and Public Outreach Group, Infrared Processing and Analysis Center and the SIRTF Science Center
To communicate the world of infrared astronomy to the public, the Cool Cosmos web site offers: classroom activities; infrared light lessons; infrared astronomy tutorial and timeline; multiwavelength astronomy; Ask an Astronomer; Cosmic Kids; image galleries,
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 coolmath.com: Cool Math  Karen
A searchable "amusement park of mathematics" for exploring math: functions, tessellations, polyhedra, limits, logs, fractals (with galleries), puzzles and problems, fun with numbers, how to succeed in math, careers in math. Also Cool Links for Math for
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 Cool Math Dudes  ThinkQuest 1996
Problems to explore, with solutions: Investment Inquiry; Circle Selections; The Beginning of Breanna; Matrices Mayhem; Breanna Returns.... With a Watch; Roots of Algebra; Breanna's Chess Companions; Squares of All Shapes and Sizes (well, not of all shapes);
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 Cool Math Guy  Dana Mosely
Watch math lessons delivered by a video instructor for several textbook publishers. Topics range from arithmetic to several variable calculus, and include review for the standardized tests such as the SAT and ACT. Also, play games that involve matching,
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