 Digital Manipulatives: New Toys to Think With  Resnick, Martin, Berg, Borovoy, Colella, Kramer, Silverman; MIT Media Laboratory
Manipulative materials such as Cuisenaire Rods and Pattern Blocks enable children to explore mathematical and scientific concepts such as number and shape through direct manipulation of physical objects. Resnick et al. have developed a new generation
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 Diophantine mtuples  Andrej Dujella; Zagreb
Introduction to Diophantine mtuples, i.e., sets with the property that the product any two distinct elements is one less than a square. Diophantine quintuple conjecture, sets with the property D(n), connections with Fibonacci numbers, rational Diophantine
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 The Discrete Mathematics Project  Dominic Peressini; University of Colorado at Boulder
Archived resources from the collaboration of the UC Boulder School of Education and Department of Applied Mathematics. Activities sketch goals, abstracts, brief problem statements, instructor suggestions, suggestions for curriculum integration and further
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 Doubling the Cube  MacTutor Math History Archives
Linked essay covering the history of and some solutions to the classical
problem in Greek mathematics of doubling or duplicating the cube, also called the
Delian problem; and on proving the impossibility of constructing a solution using only ruler
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 Dyslexia  George Row
A compensium of links to other WWW pages and discussion groups on Dyslexia: basics, organizations, bibliographies, archives, software, research; also special needs education in general; and pointers to general disability information.
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 Economic and Game Theory  David K. Levine, Department of Economics, UCLA
A site that uses the tools of modern economic theory and game theory to explore how the interaction of intelligent goalseeking individuals determines social outcomes. The site offers general interest material, undergraduate and graduate course material,
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 The Educational Validity of Visual Geometry  Marius Blok; Hull, UK
A 1998 doctoral thesis describing the design of a new branch of geometry and its teaching, based on philosophy and visual art, avoiding the use of formulae and computations. The site provides a table of contents, preface, and summary, as well as contact
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 Education.Au Limited  Education Network Australia (EdNA)
Australian author of various publications on: Access and Equity; Adult and Community Education; Communication Technologies; CDROM Technology; Educational Television; Evaluating ComputerBased Education; Home Based Workers; Information Economy; Learning
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 Egyptian numerals  MacTutor Math History Archives
Linked essay on the Egyptians' base 10 system of hieroglyphs for numerals, with separate symbols for one unit, one ten, one hundred, one thousand, one ten thousand, one hundred thousand, and one million. With references and other related web sites.
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 An Electronic Primer on Geometric Constraint Solving  Bouma, Chen, Fudos, Hoffmann, Vermeer
An primer with applications in fields such as molecular modeling, computeraided design, tolerance analysis, geometric theorem proving, and more. Four different "tours" through the material (overview, profile editor tutorial, theoretical foundations,
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 Elliptic Curves  Stéfane Fermigier
A collection of links on research articles on elliptic curves and related topics (applications, modular forms, Fermat's Last Theorem). Algorithmic applications; Modular forms aspects; Lcurves; High rank curves; Heights. Bibliographies. Some papers in
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 Elliptic Functions and Integrals  MacTutor Math History Archives
Linked essay covering 1655 through 1694, with accompanying description of the subject and 8 references (books/ articles).
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 English Attack on the Longitude Problem  MacTutor Math History Archives
Linked essay covering the period from the mid17th through the mid18th century, with 9 references (books/articles).
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 Eric Digest 104: Block Scheduling  Karen Irmsher
A 1996 article, with a bibliography: What's wrong with the traditional day? What is Block Scheduling? What are its advantages and challenges? What advice do experts have for making the change?
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 Ethics in Science  Dept. of Chemistry, Virginia Polytechnic Institute
A bibliography of publications that pertain to ethics and misconduct in science; Internetbased resources related to ethics and misconduct in science, including hyperlinks to online professional codes of conduct; Selected Essays on Ethics in Science (the
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 Ethnomathematics Digital Library  Pacific Resources for Education and Learning
A resource network and interactive learning community for ethnomathematics, with emphasis on the indigenous mathematics of the Pacific region. Search this resource network's links to relevant websites worldwide; or browse it according to geographic area,
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 Ethnomathematics  Nancy Casey
Ethnomathematics is the study of mathematics which takes into consideration the culture in which mathematics arises. Mathematics is often associated with the study of "universals"; however, it is important to recognize that often something we think of
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 Euclid and his Elements  Donald Lancon, Jr.; University of Houston
A paper written for a Survey of Math class at Bellaire High School(Bellaire, Texas): a discussion of what is known about Euclid's life and his works other than the Elements, followed by a systematic study of the Elements, examining its content, structure,
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 Experiencing Geometry in Euclidean, Spherical, and Hyperbolic Spaces  David W. Henderson; Cornell University
A book that presents a series of problems. Most of the chapters start intuitively and are accessible to a general reader with no particular mathematics background; however, the discussions were written for mathematics majors and mathematics teachers and
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 Exploring Fractals  Mary Ann Connors, Dept. of Mathematics & Statistics, Univ. of Massachusetts at Amherst
Exploring Fractal Dimensions of Strictly SelfSimilar Fractals: Cantor Dust to the Fractal Skewed Web: what are fractals? selfsimilar shapes; what is dimension; a mathematical interpretation; noninteger and integer fractal dimensions; generating fractals;
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 Extracts from Thomas Hirst's diary  MacTutor Math History Archives
Quotations from Thomas Hirst's journals concerning the following mathematicians: Bertrand, Boole, Brioschi, Cayley, Chasles, Chebyshev, Cremona, De Morgan, Dirichlet, Gauss, Kovalevskaya, Liouville, Maxwell, Poinsot, and Steiner.
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 The Fall and Rise of StandardsBased Education  Marzano, Kendall; Midcontinent Regional Educational Laboratory (McREL)
A National Association of State Boards of Education (NASBE) Issues in Brief. A brief historical overview that puts the standards movement in the context of recent education reform efforts and surveys some of the problems that have arisen in the development
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 Fermat's Last Theorem  David Shay
Site contents: The birth of the problem; Proofs for special cases; First steps in general proofs; The computer enters the picture; Is there a proof at all?; There are bigger problems; There are failures too; TaniyamaShimura conjecture; Here is the proof!;
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 Fermat's Last Theorem  MacTutor Math History Archives
Essay describing Fermat's theorem with links to mathematicians such as Sophie Germain, Legendre, Dirichlet, Shimura and Taniyama, etc., from its inception through Andrew Wiles' proof, with another web site and 17 references (books/articles).
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 The Fibonacci Series  Matt Anderson, Jeffrey Frazier, and Kris Popendorf; ThinkQuest 1999
The Fibonacci Series is deceptively simple, but its ramifications and applications are many. Learn more about the Fibonacci Series itself: an introduction, the rabbit problem, Binet's formula, the successor formula (given only one term in the Fibonacci
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 Finite Rank Torsion Free Modules Over Dedekind Domains  E. Lee Lady; University of Hawaii
A book that discusses abelian group theory as not just another variety of group theory but the study of modules over principal ideal domains, a highly specialized branch of commutative ring theory. Postscript and DVI versions. Chapters: Modules Over Commutative
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 Fixed Point Theory on the Web  M. A. Khamsi
Fixed Point Theory and Applications sites; Mailing List; Conferences: previous and forthcoming; books on fixed point theory; other interesting sites on the Web; bibliography database; abstracts; papers on fixed point theory; general information.
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 Forum of Geometric Constructor  Yasuyuki Iijima, Aichi University of Education, Japan
A dynamic geometry environment for DOS and Windows used in Japan  see the Tsukuba Journal of Educational Study in Mathematics.
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 The Four Colour Theorem  MacTutor Math History Archives
Linked essay describing work on the theorem from its posing in 1852 through its solution in 1976, with two other web sites and 9 references (books/articles).
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 Fred Rickey's Home Page  Fred Rickey, Department of Mathematical Sciences, United States Military Academy
Information about courses Rickey has taught about the history of mathematics. Historical notes for calculus teachers cover Torricelli's trumpet, Clepsydra, the history of the brachistochrone, the bridge and the catenary, Cauchy's famous wrong proof, and
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 The Fundamental Theorem of Algebra  MacTutor Math History Archives
Linked essay covering from Cardan in the 1500's to the Euler and Argand proofs through the 1800's, with 8 references (books/articles).
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 The Galileo Project  Rice University
On the life and work of Galileo Galilei (15641642) and the science of his time. The project has a searchable database and includes an online tour of Galileo's Villa; reference materials; the Catalog of the Scientific Community of the 16th and 17th Centuries;
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 GAP: Groups, Algorithms, and Programming  GAP Group; UK, Germany, USA, Australia
A system for computational discrete algebra with particular emphasis on, but not restricted to computational group theory. GAP and its sources, including share packages, data library and a manual, are distributed freely, subject to conditions detailed
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 General Relativity  MacTutor Math History Archives
Linked essay describing the history of general relativity from Aristotle's notion of the motion of bodies through Lorentz and Einstein in the 20th century, with 29 references (books/articles).
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 Geoboards in the Classroom  Tom Scavo
A Web unit for teachers from Tom Scavo that offers suggestions for using geoboards to explore the length and area of twodimensional geometric figures. The Introduction includes pages that describe materials needed, offer discussion and activities for
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 The Geometer's Sketchpad Bibliography  Key Curriculum Press
This bibliography lists publications that concern the software application the Geometer's Sketchpad, Dynamic Geometry in general, and the mathematical and educational contexts in which they are relevant: research, reviews, and applications.
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 The Geometer's Sketchpad: Classroom Resources on the Web  Math Forum
A page of links to dynamic interactive geometry resources for Sketchpad. GSP at Key Curriculum Press; classroom introductions and tutorials; courses, classroom materials, and student work; and general information. See also Sketchpad Resources at the Math
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 The Geometer's Sketchpad: Classroom Resources  The Math Forum
Sketchpad and JavaSketchpad dynamic interactive geometry resources on the Math Forum Site: sketches, activities, and tours; MAA meetings and groups with presentations and sample sketches; Forum Sketchpad Web Units (Algebra & Calculus; Vectors; Morphing
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 Geometrical Dimensional Analysis: Map of Physics  John Aikman
A text article and a tutorial, with references and links. Familiar equations and formulas of physics arranged into 3D structures create concept maps of the system of units and a potential for superformulas: more powerful formats for use of existing mathematical
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 Geometry and Topology: Recent Papers 19891993  Univ. of Melbourne, Australia
A bibliography of eprints from the Dept. of Mathematics and Statistics, Univ. of Melbourne, Australia.
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 Geometry of Harmonic Maps  Y. L. Lin, Fudan University, Shanghai, China
A book which, though not a complete description of the theory, provides an introduction and an approach useful to researchers and graduate students in differential geometry, geometric analysis, differential equations and theoretical physics. Harmonic
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 The Geometry of War, 15001750  Museum of the History of Science, Oxford
A virtual version of an exhibition from The Museum of the History of Science in Oxford on the uses of geometry in the art of warfare during the Renaissance. The site includes summaries that list the instruments and books in the exhibit and also provide
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 Girls' Attitudes, SelfExpectations, and Performance in Math  Michelle Maraffi; Math Forum
For those concerned about girls' negative attitudes and expectations in the study of mathematics who want to improve and increase girls' performance and learning in math: an annotated bibliography of articles and studies designed to give teachers and
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 G. J. Chaitin
Currently a member of the computer systems and software department at the IBM Watson Research Center in New York, Chaitin created algorithmic information theory, which combines, among other elements, Shannon's information theory and Turing's theory of
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 The Golden Mean  Rashomon (K. Wiedman)
The Golden Mean or Golden Section was derived by the ancient Greeks. Like pi, the number 1.618... is an irrational number. Both the ancient Greeks and the ancient Egyptians used the Golden Mean when designing their buildings and monuments. Links to pages
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 The Golden ratio  MacTutor Math History Archives
Linked essay on the history of the golden ratio (golden number, golden section), from Euclid through Martin Ohm's book, Die reine ElementarMatematik. With references and other related web sites.
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 The Golden Section, Related to Music and Natural Sciences  Martin Morgenstern
An extended bibliography related to the golden section in music, mathematics, architecture, biology, etc. Articles and books are listed, and linked to Amazon.com or other sources for purchase where possible.
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 Graph Coloring Page  Joseph Culberson
An ongoing project to provide graph coloring resources. Contents include: Graph Coloring Bibliography; Graph Coloring Programs; Graph Generator Programs; Phase Transition in Coloring, with Data Files; Links to Other Sources; Links to Other Coloring Material;
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 Graphing Misinterpretations and MicrocomputerBased Laboratory Instruction, with Emphasis on Kinematics  Lisa Denise Murphy
A review of the literature and of several efforts to teach graph interpretation using various forms of technology. Line graphs showing the value of a variable over a period of time are used extensively in mathematics and the sciences. Students often misinterpret
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 Graphs: Theory  Algorithms  Complexity  Thomas EmdenWeinert
Links to information about graphs and graph theory. Contents include: Related Link Collections; Online Forums; Open Problems; Topics; Search & Find (look for people, bibliographic data, journals, conferences); Software; Books & Lecture Notes;
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