 About Proofs  Math Forum, Ask Dr. Math FAQ
What is a proof? How do you write a twocolumn proof?
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 Abstracts  The Roles of Calculators in the Classroom  International Congress of Mathematics Education
Abstracts of papers presented in Topic Group 18 of the International Congress of Mathematics Education held in Seville in July, 1996. Online and PDF versions of reports on numerous studies of calculator use in a wide variety of classroom situations. Introduction,
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 Academic Exchange Quarterly
The Academic Exchange Quarterly invites research on affective learning issues such as persistence, selfconfidence, attitudes, anxiety, assessment, intervention, and pedagogy. Submissions are welcome from researchers, teacher action researchers, administrators
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 The Academy of Natural Sciences
Founded in 1812, The Academy of Natural Sciences of Philadelphia is the oldest science research institution in the Western Hemisphere and a world leader in the fields of natural science research, education and exhibition. This site contains online exhibits,
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 Accountable Talk^{SM}  Lauren B. Resnick and Megan Williams Hall with the Fellows of the Institute for Learning
Excerpt from an "ebook" introducing the Principles of Learning. Includes audio clips and video examples with transcripts and suggested discussion questions.
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 Acertijolandia  Jose Manuel Galvan Pachon
Math problems, riddles, and brain teasers for all ages. In Spanish.
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 Achievement Technologies
Educational software for learning math at all levels  primary education; GED; community college; adult basic education; correctional, vocational, and special education; mainstream instruction; or home schooling. K12 lessons are aligned to the NCTM Standards.
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 achieve.org  Achieve, Inc.
A site for information on state progress in raising expectations for all students, with a searchable database of the academic standards from most states in math, English, science, and history/social studies and sample assessment questions, student work,
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 achievethecore.org  Student Achievement Partners
Professional development modules, voices of teachers, articles, tools, research, and other free resources for educators implementing the Common Core State Standards, as assembled by the American Federation of Teachers (AFT), the National Education Association
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 A+ Click K12 Math Quiz
A+ Click is a free online math quiz. Assess your math skills from grade 1 to grade 12; you may move up a level if you give 5 correct answers in a row. Also available in Russian.
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 Acquisition of Arithmetic (Learning and Mathematics)  H. Ginsburg; Math Forum
In a chapter entitled "Learning to Count. Computing with Written Numbers. Mistakes" in the 1977 book, Children's Arithmetic: How They Learn It and How You Teach It, Ginsburg draws heavily on the idea of assimilation  the incorporation of new ideas into
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 ActiveMath Workshops  Northbrook, IL
ActiveMath provides personalized, handson teacher workshops for teachers of grades K12. The workshops specialize in teaching mathematics for understanding, while making strong connections to other disciplines and to the real world. Graduate credit
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 ActivePrompt  David Wees
"A different framework for gathering information about what your class understands": upload an image, key in a prompt (e.g., "Where does circle number 5 go?"), and ActivePrompt combines them into an interactive poll to canvas your students. By aggregating
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 Active Worksheets  David Womersley, Active Maths Limited
Formerly known as the Worksheet Factory, you can create worksheets online for an annual subscription fee: click on the "change" button and watch the numbers, angles, shapes or equations change; click on the "print" button to print a pupil worksheet and
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 Activities for Kids  Apollo Web Stars
Lesson plans and printable activities can be found under Teacher Help: printouts are available for math worksheets (number chart, addition chart, timed worksheets) and for multiplication tables. You may also search for activities locally by state and
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 Activities for Learning (AL) Mathematics Program  Joan Cotter
The RightStart Mathematics program covers grades K4 with a transition program for converting to RightStart. Teacher's manuals include daily lessons and worksheet blackline masters. A comprehensive program for homeschoolers, grades K4, is based on the
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 Activity Resources  Activity Resources Inc.
Created by Mary Laycock for mathematics teachers, with the goal of providing a real understanding of mathematics through handson (manipulative) activities. Purchase books and manipulatives on arithmetic, base ten, red and blue blocks, Cuisenaire rods,
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 Adam Up  Summerfield, James; Kordan, Samuel
Original music, chants, and other oral mnemonics that tell the adventures of Adam Up, who hated maths "... until the day his grandfather gave him a special calculator to summon The Number Crunchers. These strange bearded creatures then sing him catchy
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 AdaptedMind  Kumar Kota
AdaptedMind uses adaptive technologies closely tied with videos, explanations, and prizes to help K6 students practice math more effectively. Free worksheets, custom exercises, and skills pretest.
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 Adding Feet and Inches  NASA Lewis Learning Technologies Project
If Sally places a 3 feet 6 inch tall rocket atop a 1 foot 8 inch tall launch pad, how tall will the entire unit (rocket and launch pad) be when she is done? A detailed answer is provided. From NASA's 9th Grade Math Proficiency Test.
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 AddisonWesley Higher Education  Pearson Education
Publisher of programs and materials for primary and secondary school students and teachers; higher education textbooks and multimedia in major academic subjects for students and professors; books and multimedia for business professionals, practicing engineers,
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 Add It Up  CleverMedia
Combine tiles that sum to the target number. Earn extra points for combining more tiles or consuming less time; win a bonus for using up all the tiles; lose points points for every tile left on the board. Requires the Flash plugin.
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 Adult Literacy and Lifeskills (ALL) Survey  National Center for Education Statistics (NCES), U.S. Department of Education
The Adult Literacy and Lifeskills (ALL) Survey is an international comparative study designed to provide participating countries, including the United States, with information about the skills of their adult populations. ALL measured the literacy and
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 Adult Numeracy Core Curriculum  The Basic Skills Agency, via Count On
The U.K. adult literacy and numeracy core curriculum in PDF format. "It sets out the entitlement to learning for all adults who have difficulties with literacy and numeracy. It describes the content of what should be taught in literacy and numeracy programmes
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 Adults Learning Mathematics (ALM)
An international research forum bringing together researchers and practitioners in adult mathematics/numeracy teaching and learning in order to promote the learning of mathematics by adults. Biannual listing for researchers, practitioners in adult mathematics/numeracy
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 Advanced Learners Math Tutors  advancedlearners.com
This company provides inhome private math tutoring, at the K12 or collegiate level.
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 Advancing Student Achievement: Math Mentoring Grants  The Actuarial Foundation
A school grant program that provides funding to develop math enhancement materials and brings qualified professional actuaries from the community into schools as math mentors to share their enthusiasm, expertise, and love for math. The Actuarial Foundation
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 AdventureOnline.com  Learning Outfitters, Inc.
Interdisciplinary curricula that use the Web to connect students to expeditions from around the world, creating motivating, realtime materials for K12 classrooms. Thematic content includes traditional and online lessons, games, quizzes, research stations,
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 AERA Special Interest Group: Research in Mathematics Education  Jeff Shih
Research in Mathematics Education is a Special Interest Group of the American Educational Research Association. The purpose of SIG/RME is to promote and to disseminate research, development, and evaluative efforts in mathematics education, and to promote
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 Affiches dans le métro  Centre de recherches mathématiques
Campagne d'affiches dans le métro de Montréal (celebration de l'Année mondiale des mathématiques). Voyez aussi la série d'affiches de Stéphane Durand, qui a remporté le premier prix du concours international
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 Age Word Problems  Math Forum, a Classic Problem from the Ask Dr. Math FAQ
A problem with one variable: Al's father is 45. He is 15 years older than twice Al's age. How old is Al? But what if we can't express all the information in the problem using only one variable? Sometimes we must use two variables to express the given
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 Aha!Math  Learning.com
This K5 curriculum package, aligned to state and Common Core standards, supports differentiated instruction with multiple instructional models. Aha!Math provides students with immediate feedback in interactive story settings. Freely sample games and
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 The A. J. Pappanikou Center for Developmental Disabilities  University of Connecticut
A University Affiliated Program (UAP) sponsored by the Federal Administration on Developmental Disabilities through the U.S. Department of Health and Human Services. The Pappanikou Center UAP works with others to create opportunities that improve the
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 Alan H. Schoenfeld  Graduate School of Education, University of California, Berkeley
Download PDFs of publications on mathematics education and curricular considerations such as "Mathematics Teaching and Learning"; "The Math Wars"; "Learning to Think Mathematically: Problem Solving, Metacognition, and SenseMaking in Mathematics"; "Toward
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 Alexandre Borovik
Borovik teaches and researches group theory at the University of Manchester (UK), where he is a Professor of Pure Mathematics. See his eightpoint teaching manifesto, read about his methodology, and download slides of selected talks, which include "Hidden
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 ALGEBRA  Mathematical abstraction from concrete experience  College of Early Learning
How a Montessori student learns algebra while interacting with manipulatives represented by expressions incorporating numerals and variables. Contents include: The proper interpretation of a numeral by answering three questions: How many objects? What
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 Algebra (S.O.S. Mathematics)  Dept. of Mathematical Sciences, Univ. of Texas at El Paso
An online course: learning units presented in worksheet format review the most important results, techniques and formulas in college and precollege algebra. Sections include: Fractions; Units of Conversion; Complex Numbers; Quadratic Equations; Factorization
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 Algorithmic Art  Fractal Art Gallery  Manfred W. Rupp
Unusual fractals with nonstandard algorithms  geometric patterns made using FRACTINT that rely on mathematical models.
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 Algorithms and Ice Cream For All (MegaMath)  Nancy Casey; Los Alamos National Laboratory
Solve a city planning problem using mathematical graphs and algorithms. Students use algebraic methods to explore, model, and describe patterns and functions involving numbers, shapes, data, and graphs in problemsolving situations and communicate the
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 Aligning and Articulating Standards Across the Curriculum (NCREL)  Cathy Cook; Pathways to School Improvement
Critical Issues in Mathematics. Students often do not see any connection between the mathematics they learn in school and the other subjects they study. As a result, many students do not see or understand the connection between mathematics and their daily
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 All About Addition (AAA Math)  John Banfill
Interactive math exercises, lessons, and games covering addition facts and
addition of whole numbers, decimals, and fractions.
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 All About Decimals (AAA Math)  John Banfill
Interactive math exercises, lessons, and games to teach naming, adding, subtracting, multiplying, dividing, and converting decimals.
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 All About Division (AAA Math)  John Banfill
Interactive math exercises, lessons, and games covering division facts and
division of whole numbers, decimals, and fractions.
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 All About Fractions (AAA Math)  John Banfill
Interactive math exercises, lessons, and games covering identifying, adding,
subtracting, multiplying, dividing, and converting fractions.
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 All About Multiplication (AAA Math)  John Banfill
Free, interactive math exercises, lessons, and games teaching multiplication tables, fact and multiplication of whole numbers, decimals, and fractions.
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 All About Subtraction (AAA Math)  John Banfill
Free, interactive math exercises, lessons, and games covering beginning subtraction facts and subtraction of whole numbers, decimals, and fractions.
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 All Educational Software: Math Software  Kimball & Wood Enterprises, LLC
Math learning games, math help and software for kindergarten through high school. Educational software to help kids learn addition, subtraction, algebra, geometry, calculus, statistics and more.
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 allmath.com  Arbor Media, Inc.
Math tools (flash cards, a metric converter); games (magic square), and reference pages: biographies, a glossary, the multiplication table, metric conversion factors, and an ask an expert service.
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 All Star Review
A review site designed to help teachers and parents find out about software, audio, video and other educational products before purchasing them. Search for software and other materials alphabetically, by level, or by subject (see Math Audio and Software.)
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 All the King's Digits  Terry Trotter
Challenge: Using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, and the operations of +, , x, ÷, sqrt (square root), cbrt (cube root), ^ (raise to a power), and ! (factorial), along with grouping symbols, write expressions for the counting number 100.
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