 The Concept and Teaching of PlaceValue  Rick Garlikov
A theoretical explanation about (the problem of) teaching PlaceValue to children, with a practical method given based on that explanation.
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 Condorcet.org  Blake Cretney
Theories on voting and social choice. Learn about an electoral method called "ranked pairs" and download software to tabulate other voting methods. The Election Methods Resource enumerates "single winner" and legislative approaches to running elections.
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 Conferences on the Teaching of Mathematics (CTM) (Mathematics Archives)  Husch, et al., Editors
Currently includes presentations and contributed papers from the Fifth Conference on the Teaching of Mathematics held on June 2122, 1996 in Baltimore, MD and the Sixth Conference on the Teaching of Mathematics held on June 2021, 1997 in Milwaukee, WI.
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 Confessions of an Engineering Washout  Douglas Kern
Article about the author's experiences with undergraduate education for engineering.
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 Confronting Technology  Lowell Monke
This site provides a variety of resources critically examining the relationship between human beings and technology, with specific resources on the way computers are used in education. They include: an annotated bibliography, a list of documents available
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 Conic Sections (Visual Dictionary of Special Plane Curves)  Xah Lee
A discussion of the history of conic sections, one of the oldest math subjects studied systematically and thoroughly, with a description, formulas, properties, a proof, Mathematica notebooks, the ellipse seen as a circle, second degree curves, intersection
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 Coniques en coordonnées barycentriques  Jean Marie Laborde, AbraCAdaBRI
Exemples des ellipses de Steiner; Théorème et Applications du
théorème de Pascal; Théorème de Carnot par les coordonnées barycentriques.
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 CONNECT: Everyone can do Math and Science  Colorado
Colorado's NSFfunded statewide systemic initiative in mathematics and science. CONNECT is charged to provide support and leadership to increase the achievement of all Colorado students in mathematics and science, kindergarten through baccalaureate (K16).
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 Constant Perimeter and Constant Area Rectangles (Connected Geometry)  Daniel Scher; Education Development Center, Inc. (EDC)
Interactive Java animations accompany the article "Theorems in Motion: Using Dynamic Geometry to Gain Fresh Insights" by Daniel Scher in the April 1996 issue of the Mathematics Teacher. The article outlines how dynamic geometry software can be used to
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 Constants, Units, and Uncertainty  National Institute of Standards and Technology (NIST)
A reference with three sections: Fundamental Physical Constants (values of the constants and related information, and a searchable bibliography on the constants); the International System of Units (indepth information on the SI, the modern metric system),
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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  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 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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 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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 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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 Cooperative Learning  Classroom Compass
The fall 1994 issue of Classroom Compass looks at some aspects of cooperative learning and ways it can be implemented in the classroom. Two instructional activities, one providing suggestions for elementary students (Pumpkin Exploration) and one for higher
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 Coping With Math Anxiety  B. Sidney Smith, Wendy Hageman Smith; Math Academy Online/Platonic Realms
A "minitext" concerning the potentially disabling fear of math. This site defines math anxiety, discusses its social and educational roots, addresses some widespread myths about math and learning math, and deals with possible strategies for overcoming
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 Core Concept: Comprehensive Assessment  Edutopia
The George Lucas Educational Foundation's compilation of resources on assessment in education, including videos, reallife examples, blog posts, articles, and interviews.
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 Cosmeo  Discovery Education, Inc.
Homework help from the Discovery Channel. Browse math help by topic to watch math Flash videos (many with closed captioning), read articles, play "brain games," and more. Walk through your math problem with WebMath. Cosmeo's video library has more than
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 Counterexamples in Clifford Algebras  Pertti Lounesto, Helsinki Institute of Technology
Counterexamples to theorems published and proved in recent literature on Clifford algebras, spinors, spin groups and the exterior algebra, many stemming from the failure of the authors to check their statements in low dimensions, or for small numbers
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 The Counterfeit Coin  Ivars Peterson (MathTrek)
The classic puzzle of the counterfeit coin has long served as a stiff test of one's reasoning power and ingenuity. In its standard form, the problem concerns 12 coins identical in size, shape, and appearance. One coin, however, is counterfeit, having
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 Counting by Twos  Ivars Peterson (MathTrek)
How much is a megabyte? Many people don't really know. The problem originated decades ago when computer professionals noticed that 2^10 is very nearly equal to 1,000, and they began using the metric prefix "kilo" to mean 1,024. That was okay when computers
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 Count Me In  JoAnne LeFevre, Director
Research on the effects of culture and language on preschool children's ability to learn to count and complete other early numeracy tasks. Participants include Turkish, Chinese and English speakers. Publications from the team of researchers from Carleton
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 Covering Up (MatheMUSEments!)  Ivars Peterson (Math Muse for Kids)
Have you ever wondered why the cover of a manhole is nearly always round? Why couldn't it be oval or square? The usual answer is that a circular lid, unlike a square or an oval cover, won't fall through the opening, but the circle isn't the only shape
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 The Cow in the Classroom  Ivars Peterson (MathLand)
Math Curse by Jon Scieszka and Lane Smith spoofs the types of word problems that educators and textbook writers invent to dress up arithmetic exercises and, supposedly, to demonstrate the relevance of math to everyday life. Canadian economist and humorist
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 CPAIOR 2001: Third International Workshop
Third International Workshop on Integration of Artificial Intelligence and Operations Research Techniques in Constraint Programming for Combinatorial Optimization Problems. Wye College (Imperial College), Ashford, Kent UK; 810 April, 2001. Papers available
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 Cracking a Medieval Code  Ivars Peterson (MathTrek)
The first printed book on cryptology was written by Johannes Trithemius (14621516), an abbot in Spanheim, Germany, who was one of the leading intellectuals of his day. Bearing the title Polygraphiae libri sex ("Six Books of Polygraphy"), it was published
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 Cracking Kepler's spherepacking problem  Ivars Peterson; Science News Online
The familiar piles of neatly stacked oranges at a supermarket represent a practical solution to the problem of packing spheres as tightly as possible. Thomas C. Hales proved that no other arrangement of identical spheres fills space more efficiently,
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 Cracking the Myth of Ball Control  Ivars Peterson (MathLand)
Ball control has become common practice in a number of sports. In basketball, for example, coaches often urge their teams to slow down a game at certain times or to control its tempo. In professional football, "time of possession" has become a statistic
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 A Crash Course in the Mathematics of Infinite Sets  Peter Suber; Philosophy Department, Earlham College
An introductory guide for philosophers, explaining the use of infinitary set theory.
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 Crashing Waves, Awesome Explosions, Turbulent Smoke and Beyond: Applied Mathematics and Scientific Computing in the Visual Effects Industry [PDF document]  Aleka McAdams, Stanley Osher, and Joseph Teran
The May 2010 issue of the Notices of the American Mathematical Society includes a PDF article (1.3M) entitled "Crashing Waves, Awesome Explosions, Turbulent Smoke, and Beyond: Applied Mathematics and Scientific Computing in the Visual Effects Industry."
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 Creating an Active Learning Environment: Preparing PreService Teachers  Professor Hubert J. Ludwig; Math Forum
A page created at the request of Professor Hubert J. Ludwig, who organized a session on preparing preservice teachers to create active learning environments at the Annual Meeting of the Mathematical Association of America in Orlando, January 1013, 1996.
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 Creative Problem Solving  Rob Eastaway
Eastaway's "portfolio" of interests includes short descriptions of his school talks, newspaper articles, and books he has authored or coauthored, such as Maths for Mums and Dads, The Hidden Mathematics of Sport, How to Remember Almost Everything, Ever,
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 Critical Evaluation Information  Kathy Schrock's Guide for Educators, Discovery School
With the advent of the World Wide Web and the huge amount of information it contains, students need to be able to evaluate a Web page for authenticity, applicability, authorship, bias, and usability. To help teachers get students started with this process,
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 Critical Issues in Mathematics (NCREL)  Pathways to School Improvement
Articles from the North Central Regional Educational Laboratory (NCREL). The Significance of the NCTM Standards; Ensuring Equity and Excellence in Mathematics; Locating, Using, and Integrating InternetBased Mathematics Materials; Providing HandsOn,
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 Critic of Technology in Schools Faces Tough Audience  Pamela Mendels
From the New York Times column on Education, an April 1998 report on public opinion of the views of Todd Oppenheimer (author of "The Computer Delusion", which apperared in the Atlantic Monthly magazine), from a public meeting concerning technology in
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 Crop circles: Theorems in wheat fields  Ivars Peterson  Science News Online
Patterns of circles and triangles surreptitiously flattened into the crops of southern England reveal the perpetrators' sophisticated knowledge of Euclidean geometry.
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 CrossAge Tutoring  Marah Fortson; Math Forum
An annotated bibliography: articles to help teachers deal with a classroom of learners with different abilities, different strengths and weaknesses, who are at different levels academically, behaviorally, and socially. The task of the teacher is a challenge,
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 CRUME'S First Volume  What Will Mathematicians Think?  Research Sampler: John and Annie Selden, Eds.
A description of the first volume of Research in Collegiate Mathematics Education, first in a series of annual volumes (CMBS Issues in Mathematics Education, Vol. 4, 1994), in Undergraduate Mathematics Education Trends, January 1995.
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 The Crypto Drop Box of the American Cryptogram Association  Jerry Metzger
The American Cryptogram Association (ACA) is a nonprofit volunteer organization devoted to disseminating cryptographic knowledge. Members make up and solve their own creations strictly for the fun of it. Every two months, the ACA journal, The Cryptogram,
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 C.T.J. Dodson  Christopher Dodson
Dodson provides notes and Maple or Mathematica packages for many different mathematics courses, including algebra and precalculus, calculus, differential equations, using computers for mathematics and statistics, and an introductory course on curves,
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 Cubes of Perfection  Ivars Peterson (MathTrek)
...Six is the smallest perfect number. Twentyeight comes next. Its proper divisors are 1, 2, 4, 7, and 14, and the sum of those divisors is 28. Incidentally, if the sum works out to be less than the number itself, the number is said to be defective
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 Cubic surfaces  MacTutor Math History Archives
Linked essay on the history of surfaces of order three.
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 Curriculum Development Projects  Mathematics Education at the Math Forum
The Math Forum's suggested sites on curriculum development in math education, including projects sponsored by the NSF and others.
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 Curriculum  Math  Schoolinfosystem.org
"Curated education information" about mathematics curriculum. Posts reproduced from newspapers and other sources, which date back to April, 2004, have included "Math Teachers Speak Up"; "The Last Time You Used Algebra Was ..."; "Askey on Elementary Math
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