 Infinity: You Can't Get There From Here!  B. Sidney Smith; Math Academy Online/Platonic Realms
A "minitext" offering a concise introduction to the concept of infinity. Includes historical background, Cantor's set theory, and an introductory discussion of cardinality, as well as suggested reading.
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 Information and Communication, Circuits  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to information and communication, circuits, which includes questions of particular interest to algebraists, especially coding theory (related to linear algebra and finite groups) and encryption (related
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 Information Mechanics Group  Massachusetts Institute of Technology
A research group for the physics of computation. Resources for CAM8, a computer and operating system designed for work with cellular automata, and various papers, which are available for download in PostScript format .
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 InfoWeb's Teachers Gateway  North Carolina Department of Public Instruction (DPI)
New and important information for teachers; educational research  links to studies, papers and reports about how children learn, effective teaching, etc.; instructional resources on and off the Web; education news; law and policy; award programs; education
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 innumeracy.com  Steve Head
A site devoted to the nature of chance and critical thinking, a result of a search of various sites that may be of use to others whose desire is to develop a more critical mind. Some articles are posted to the Probability and Critical Thinking pages;
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 InSITE: The Information Network of SITE  Society for Information Technology and Teacher Education
A clearinghouse for textbased and multimedia materials related to the integration of technology into teacher education, including staff development, exploring how educators from various content areas and at various locations can collaborate over the
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 The Institute for Figuring  Margaret and Christine Wertheim, CoDirectors
"If mathematics is a language of pattern, its structures may be seen as the verses of a formal, yet fantastical poetics. Across the globe people have delighted in the harmonies of this language and the patterns discovered therein. These are the songs
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 The Institute for Nonlinear Science  University of California, San Diego
A research group whose topics include chaotic lasers, granular dynamics, and fractal image compression. Some related articles are available for download in PostScript or PDF formats.
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 Institute for Scientific Computation  Texas A&M University
The Institute for Scientific Computation (ISC) conducts and coordinates multidisciplinary research into data management, mathematical modeling, numerical solutions, and visualization. Read about ISC research and the Computational Sciences Certification
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 Institute for Special Education  University of Fribourg/Switzerland
A variety of research projects in English, German, and French, including Training of cognitive strategies  a computer programme for learningdisabled children; Publications (quarterly journal, books in German).
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 Institute of Mathematical Geography (IMaGe)  Sandra Lach Arlinghaus
Archives of SOLSTICE: An Electronic Journal of Geography and Mathematics. Chapters, notes, and book reviews dating from 1986, in variously jpg, pdf, html, or simple text formats. Sample articles include "Extension of Barr's Problem to the Set of Platonic
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 Institute of Mathematical Statistics  Elyse Gustafson, Executive Director
The Institute of Mathematical Statistics (IMS) is an international professional and scholarly society devoted to the development, dissemination, and application of statistics and probability. IMS' main technical journals are the Annals of Statistics,
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 The Institute of Mathematics and its Applications (IMA)
The professional and learned society for qualified and practising mathematicians, based in the UK and with thousands of members worldwide. IMA aims to promote mathematics and its applications in all sectors: industry, commerce, education, the public sector
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 Institut National de la Statistique et des Etudes Economiques (INSEE)  France
Statistics about France. L'INSEE rassemble, traite, analyse et diffuse les données statistiques relatives à l'économie et à la société. Faits et chiffres; produits et services; inventaire communal; liens vers
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 Instituto Brasileiro de Geografia e Estatística (IBGE)
The Brazilian agency that collects statistical and geographic information. "Brazil in Brief," short articles with graphs and/or data tables for key socioeconomic topics; the "Minimum National Social Data Set," a set of information following United Nations
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 Instituto Nacional de Estadística e Informática (INEI)  Perú
El Instituto coordina las actividades estadísticas e informáticas oficiales del Perú. Notas de Prensa; Capacitación (Escuela Nacional de Estadística e Informática y Capacitación a Distancia con cursos para el Censo);
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 Instituto Nacional de Estadística, Geografía e Informática (INEGI)  Mexico
The government agency that provides statistical and geographic information for the country of Mexico. Introduction to Mexico; tables, articles, and maps of geographic, population, and economic information; structure and modernization of the department.
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 Instituto Nacional de Estatística (INE)  República de Bolivia
El Instituto tiene las funciones de: estudiar, compilar y difundir la información estadística de Bolivia. Introducciones de Bolivia y INE; Resumen Estadístico de Bolivia; Informacíion Estadística y Geográfica;
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 Instructional Resources  Microsoft Corporation
Microsoft's instructional resources are divided into lesson plans (math), howto articles, and tutorials. You may search each section's resources by age group, Microsoft product, theme or learning area. See also the Design Gallery Live.
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 Integer Sequences and Arrays  Clark Kimberling; Dept. of Mathematics, Univ. of Evansville, Evansville, IN
Certain seemingly simple sequences of integers baffle the best mathematicians. Other sequences, less baffling, exhibit patterns  or absence of patterns  whose appeal shines beyond whatever applications these sequence might find outside mathematics.
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 Integral Equations  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to integral equations, which seek functions that satisfy relationships with their integrals. For example, the value of a function at each time may be related to its average value over all preceding time.
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 Integral Transforms, Operational Calculus  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to integral transforms, which include the Fourier transform as well as the transforms of Laplace, Radon, and others, convolution operators, and operational calculi. History; applications and related
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 Integrating Productivity Tools in Primary and Secondary Education  James L. Morrison; Horizon
Articles, some still in draft form, describing how teachers have integrated technology into their instruction.
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 Interactive Learning (Learning and Mathematics)  Brown, et al.; Math Forum
In a chapter entitled "Interactive learning and individual understanding: The case of reading and mathematics" in the 1991 book, Culture, schooling, and psychological development,  Brown, Campione, Reeve, Ferrara & Palincsar discuss learning in which
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 The Interactive Mathematics Program: A Report  Mark Freitag, Univ. of Georgia
The Interactive Mathematics Program (IMP, 1994) is a project designed to implement change in the high school mathematics curriculum. This paper describes how the project began, what it intends to do, and what pedagogical problems it addresses. A specific
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 Interactive Mathematics Program (IMP)  Key Curriculum Press
A fouryear integrated problembased secondary mathematics curriculum and professional development program for teachers that meets college entrance requirements and prepares students to use problemsolving skills in further education and on the job. Information
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 Interactive Math Program (IMP) Sites  Mathematics Education at The Math Forum
Links to sites and articles with information on the Interactive Mathematics Program (IMP), a fouryear, problembased mathematics curriculum for high schools, designed to meet the needs of both collegebound and noncollegebound students. Interactive
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 Interdisciplinary Mathematics  Mathematics Education at the Math Forum
The NCTM Standards make a strong case for connecting mathematics with other disciplines, the National Science Foundation (NSF) has funded many projects and curricula with strong interdisciplinary commitments, and mathematicians are more and more seeking
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 Interior Point Methods Online  Argonne National Laboratory
Join, contribute to, and search the archive of the interiorpointmethods@mcs.anl.gov mailing list; visit the archive of papers announced through the mailing list or the bibliography of interior point methods for mathematical programming; browse through
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 Interior Point Methods  Steven Wright
Research into algorithms for linear programming which approach the solution through the interior of the feasible polygon, rather than moving around the boundary from vertex to vertex, as simplex methods do. Background; thumbnail sketch; zipped Postscript
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 International Conference on Technology in Collegiate Mathematics (ICTCM) (Mathematics Archives)  Przemyslaw Bogacki, Managing Editor
Home site of the Electronic Proceedings of the International Conference on
Technology in Collegiate Mathematics (EPICTCM), an annual conference sponsored by AddisonWesley (on this site are conferences from 19941998). Papers are presented through an
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 International Federation of OR Societies (IFORS)
An international organization of national societies whose primary object is the advancement of Operational Research. It aims to develop Operational Research as a unified science and advance the field in all nations of the world. Information on publications
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 International Group for the Psychology of Mathematics Education  Psychology of Mathematics Education (PME)
The International Group for the Psychology of Mathematics Education is a group of researchers dedicated to promoting international contacts and the exchange of scientific information in the psychology of mathematics education; promoting and stimulating
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 International Mathematical Virtual Institute  DMBL (Scientific Society of Mathematicians Banja Luka)
The International Mathematical Virtual Institute (IMVI) promotes communication, cooperation and collaboration in the Balkans, elsewhere in Europe, and worldwide on research in (pure and applied) mathematics, history and philosophy of mathematics, and
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 The International Mathematics Teacher and Educator Network
The International Mathematics Teacher and Educator Network (IMTEN) "aims to bring together all those involved in mathematics education across the world.... by hosting and stimulating debates and discusssions, articles and blogs, and being a repository
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 International Numerical Relativity Group  NCSA/LCAPotsdamWashU
Physics at the National Center for Supercomputing Applications or its Potsdam/Germany mirror site, using supercomputers to study black holes, gravitational waves, and other phenomena predicted by Einstein's Theory of General Relativity. Search or browse
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 The Internet and its Uses in Education  Arun Kumar Tripathi
A paper that covers briefly many aspects of the Internet from the early days to what the future holds, looking at the Internet as a source of information for those involved in education and backing up the text with Web site addresses for further information.
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 Internet congestion stirs up data storms  Ivars Peterson  Science News Online
Frequent spikes of high activity occurring at random times and typically lasting a fraction of a second punctuate Internet traffic.
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 Internet Resources for Higher Education Outcomes Assessment  North Carolina State University
Links to general resources  Discussion Groups, Forums, Archives of Articles, Lists of Links, etc.; Assessment of specific skills or content; Individual institutions' assessmentrelated pages, and Accrediting bodies.
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 Internet Use by Teachers  Teaching, Learning, and Computing (TLC)
Teaching, Learning, and Computing has issued its first newsletter report, providing data collected in spring 1998 for a nationally representative sample of more than 2,000 teachers on how they use the Internet  or don't  and what distinguishes users
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 Introduction to Chaos Theory  Andrew Ho
Designed for those with little background in mathematics. Topics covered include bifurcation diagrams; the Lorenz, Rossler, and Henon strange attractors; KolmogorovArnoldMoser orbits; and fractal geometry, including the Sierpinski Triangle, Von Koch
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 An Introduction to Fourier Theory  Forrest Hoffman
A paper about Fourier transformations, which decompose or separate a waveform or function into sinusoids of different frequencies that sum to the original waveform. Fourier theory is an important tool in science and engineering. Contents: Introduction;
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 An Introduction to Fractals  Paul Bourke
"What is a fractal? B. Mandelbrot: A rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reducedsize copy of the whole. Mathematical: A set of points whose fractal dimension exceeds its topological
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 Introduction to Generalized Functions With Applications in Aerodynamics and Aeroacoustics  Feri Farassat
An article in PDF format written to show the power of multidimensional generalized function theory in applications. Abstraction is kept to a minimal level so that it can be read by undergraduate students. I also recommend the
following article, which
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 Introduction to Modeling via Ordinary Differential Equations  Fioravante Patrone
PDF file: Introduction to modeling by means of differential equations, with critical remarks.
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 An Introduction to Wavelets  Amara Graps; Institute of Electrical and Electronics Engineers, Inc.
A paper giving an overview of wavelets: mathematical functions that cut up data into different frequency components, and then study each component with a resolution matched to its scale. Wavelets have advantages over traditional Fourier methods in analyzing
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 An Investigation of Subtraction Algorithms from the 18th and 19th Centuries  Nicole M. WessmanEnzinger
An exploration of different algorithms used during 18th and 19th century America, with discussion of implications for the modern teacher. This article, which originally appeared in the January 2014 issue of the Mathematical Association of America (MAA)
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 An Investigation using Parametric Equations  Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia
A paper examining the movement of triangles when one vertex is moved along the xaxis and another is moved along the yaxis. The movement of the third vertex is traced.
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 Invitation to MasterMind  Cut the Knot!, Alexander Bogomolny, with Don Greenwell
Mastermind is a game played by a codemaker and a codebreaker. The codemaker selects a code, a sequence of four colors (digits, pegs or other symbols) chosen from a set of six colors (repetitions allowed). The codebreaker will then try to guess the code.
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 IQFlash.com  Sergey Melnikov
Logic and math games include a variation of Nim, Rhumb Line (similar to tictactoe), and Breakfast Brainstorm (rotate the pans in order to make each of the four numbers equal 20 as soon as possible). Strategy articles include games such as tictactoe,
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