- The Algebra Survival Kit - Josh Rappaport
A kit that includes a 520-page handbook covering the main content areas of Algebra 1 in accordance with the NCTM Standards. Sections are tabbed, and pages are written in flash card format with questions on the front and answers on the back. Also, a poster,
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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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- Answers to Frequently Asked Questions about Principles and Standards for School Mathematics - National Council of Teachers of Mathematics (NCTM)
Why do we need the NCTM Standards? Why did NCTM update its original Standards? What is Principles and Standards for School Mathematics? What makes Principles and Standards for School Mathematics different from the original Standards? What are the Principles?
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- Assessment in Mathematics Teaching - Mathematics Education at The Math Forum
The Math Forum's suggested sites on assessment in mathematics education including the NCTM Standards; sessions on assessment at meetings; and selected books and articles on assessment.
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- CIESE Online Classroom Projects - Stevens Institute of Technology
Projects that use realtime data available from the Internet, and collaborative projects that use the Internet's potential to reach peers and experts around the world. The site lists currently sponsored projects by level, with an archive of past sponsored
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- Comprehensive School Mathematics Program (CSMP) - Mid-continent Regional Educational Laboratory (McREL)
A K-6 mathematics curriculum from the Mid-continent Regional Educational Laboratory (McREL) that focuses on problem solving, concept development, and other higher cognitive processes following the NCTM Standards. The program requires special preparation;
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- Consortium for Mathematics and Its Applications (COMAP)
"What is all this for, anyway?" COMAP helps answer that question. This non-profit organization offers multidisciplinary and academically rigorous curriculum materials and teacher development programs based on mathematical exploration of real-world problems.
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- Constructivist Mathematics and Unicorns - Lee V. Stiff
The then-president of NCTM lays out distinctions among various forms of constructivism, and how they relate to the Principles and Standards, in this 2001 article.
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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 Internet-Based Mathematics Materials; Providing Hands-On,
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- Elementary School Mathematics Resources (COMAP) - Consortium for Mathematics and Its Applications
Services to help elementary schools implement curricula based on the NCTM Standards. Bridges to Classroom Mathematics creates materials that local school personnel can use to conduct professional development workshops for elementary teachers. The ARC
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- Focus in High School Mathematics: Reasoning and Sense Making - National Council of Teachers of Mathematics (NCTM)
A conceptual framework to guide the development of future publications and tools related to 9–12 mathematics curriculum and instruction, this series highlights reasoning opportunities in five specific content areas of the high school mathematics curriculum:
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- Illuminations - National Council of Teachers of Mathematics (NCTM)
Interactive resources for students and teachers based on NCTM's Principles and Standards for School Mathematics. The site is divided by grade band (Pre-K-2, 3-5, 6-8, 9-12, and a cross-band section). Each band contains the following topics: i-Math Investigations--interactive
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- Implementing Curriculum, Instruction and Assessment Standards in Mathematics (NCREL) - Cathy Cook; Pathways to School Improvement
From Critical issues in mathematics. National educational standards are being developed in nearly all subject areas. The National Council of Teachers of Mathematics has recently developed standards for mathematics; its Curriculum and Evaluation Standards
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- Improving Measurement and Geometry in Elementary Schools (IMAGES) - Research for Better Schools (RBS)
Information and resources designed to help teachers develop a deeper understanding of geometry and measurement concepts and to assist in designing meaningful instruction for elementary students. Topics addressed include: cognitive and developmental issues;
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- Interactive Mathematics Program (IMP) - Key Curriculum Press
A four-year integrated problem-based secondary mathematics curriculum and professional development program for teachers that meets college entrance requirements and prepares students to use problem-solving skills in further education and on the job. Information
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- Linear Regression (MSTE) - Amar Patel; University of Illinois at Urbana-Champaign (UIUC)
A lesson that allows students to explore notions of the relations between two variables using a variety of problems and activities to aid learning and classroom discussion. Requires Excel 5.0 and Netscape (or equivalent). Includes a look at how the lesson
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- Mathematics and Biology - Cut the Knot!, Alexander Bogomolny
A discussion of evolution, inheritance, genes and mutation, the Prisoners' Dilemma, and how these and other biological themes relate to mathematics, with an applet that applies a genetic algorithm to solving the Toads and Frogs puzzle. An interactive
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- Mathematics in Context - Jennifer Schwartz, Encyclopaedia Britannica, Inc.
A subscription program for students grades 5-8 that applies mathematics in the context of engaging, real-life problems following the recommendations of the NCTM Standards. Developed by the Wisconsin Center for Educational Research, School of Education,
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- Math in Motion: Origami in the Classroom, K-8 - Barbara Pearl
Workshops and a book which use an interdisciplinary and manipulative-based approach to teaching mathematics, supporting the NCTM Standards and unfolding a positive attitude toward math and learning. Barbara Pearl developed "Math in Motion" while working
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- math-teach - Math Forum
A moderated discussion group (formerly nctm-l), accessible as a Web-based discussion, a mailing list, or a Usenet newsgroup, established to facilitate the discussion of teaching mathematics, including conversations about the NCTM Standards, although not
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- Math Travels - Real World Math
An integrated simulation of U.S. travel for grades 4-12. Students develop reading, writing, math, social studies, and art skills by planning vacations across states, applying concepts of measurement, multiplication, division, decimals, and time. The site
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- Mathville - Courseware Solutions, Inc.
Award-winning educational math software for children ages 5-13, for Mac or Windows. Programs: Kidway (8 activities for grades K-2 with up to 10 levels of play each), Jungleway (20 math adventures for grades 1-3), Speedway (16 activities for grades 2-4),
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- Mathwire.com - Terry Kawas
Standards-based activities and worksheets that support a constructivist approach to learning mathematics. Browse resources by NCTM standard or math topic, which include enrichment topics, glyphs, instructional strategies, morning math routines, seasonal
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- Measuring Up, Prototypes for Mathematics Assessment - National Academy of Sciences
An electronic version of Measuring Up, a book on assessing students in accordance with the NCTM math standards by the National Research Council that provides examples of problems students should be able to solve at a fourth grade level and insights on
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- Measuring What Counts: Executive Summary - MSEB, National Research Council
"'You can't fatten a hog by weighing it,' said a farmer to a governor at a public hearing in order to explain in plain language the dilemma of educational assessment. To be useful to society, assessment must advance education, not merely record its status...."
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- PAT Online: Reports from the Practical Algebra Tutor Project - PACT Center, Carnegie Mellon University
An intelligent tutoring system, a sort of modified spreadsheet system, based on a theory of cognition developed by John Anderson and the NCTM standards. Try it out online, or: read articles about education, technology, and computer science; explore background
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- PBS TeacherLine - PBS
A professional development resource delivering courses online for PreK-12 teachers. Find course dates, graduate credit opportunities, and other information. Download the course tour for a preview of the experience of taking a course. See also the Virtual
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- Place Value - Cut the Knot!, Alexander Bogomolny
Dictionary definitions of place value and what they lack; the emphasis on place value in the NCTM Standards; its importance in understanding our numeration system; how it arises from one of several possible representations of grouping in the counting
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- Project Interactivate - Shodor Education Foundation, Inc.
Interactive middle school lessons on number and operations, geometry and measurement, functions and algebra, and probability and statistics. They feature: online activities (illustrative Java applets including: Venn diagrams; clock arithmetic; Pythagorean
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- Reactions to NCTM's Principles and Standards for School Mathematics: Discussion Draft - University of Maryland
Math education graduate students' reactions to the NCTM's Standards 2000 draft. Each paper is accompanied by a brief abstract summarizing the content of the longer paper, which either takes exception to something written in the draft, develops a strong
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- The Ross Program - The Ohio State University
For high schoolers, the OSU Department of Mathematics offers an intensive summer experience designed to encourage motivated pre-college students to explore mathematics. Over the course of eight weeks, students are immersed in a world of mathematical discovery.
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- Science and Mathematics Education: Similarities and Differences - Lynn Arthur Steen; St. Olaf College
Lynn Steen writes on the similarities and differences between the NCTM Standards and those of the National Research Council. Intellectually, the two communities agree on virtually all comparable aspects of their respective standards. But the nature of
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- The Significance of the NCTM Standards to the Pathways (NCREL) - Cathy Cook; Pathways to School Improvement
Critical Issues in Mathematics. The Standards represent a major effort to develop mathematically literate citizens. They should be viewed as facilitators of reform, rather than as a set of directives. They are designed to help schools achieve national
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- Standards for School Science and Mathematics: Background, Purposes, Goals, Principles - Lynn Arthur Steen, St. Olaf College
A "sidebar" on background of the standards movement in science and mathematics
education prepared for the National Science Foundation's "Indicators" study for 1995. In 1994 Indicators of Science and Mathematics Education. Washington, DC: National Science
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- Teacher Education Materials Project (TE-MAT) - Horizon Research, Inc. (HRI)
A site for K-12 professional development providers, with a conceptual framework "Designing Effective Professional Development" (short essays on: Understanding the Needs of the Target Audience; Deciding on the Purposes of the Professional Development;
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- Teacher Support for the Problems of the Week - Suzanne Alejandre
Teacher support for the Math Forum's Problems of the Week in Math Fundamentals, Pre-Algebra, Algebra, and Geometry. Information on the pages includes alignment to the NCTM Standards and links to resources from Ask Dr. Math, Teacher2Teacher, and the Teacher
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- Teaching and Learning (MAA) - Mathematical Association of America
Teaching and learning mathematics is what most MAA members do for most of their lives. This Teaching and Learning section provides useful and thoughtful articles about teaching mathematics. The Research Sampler is dedicated to spreading awareness of current
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- Teaching Statistics - The Teaching Statistics Trust
A journal published three times a year for teachers of pupils aged 9-19. Includes articles on teaching statistics in mathematics, science, etc. and ideas and resources for teaching data-handling and probability. Regular features include: Classroom Notes;
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- What Will Be the Effect of a Standards-based Education on College Students? - Judith Roitman
This article, by Judith Roitman of the University of Kansas, appeared in the April 1995 FOCUS, the newsletter of the MAA. Among other things, Roitman discusses the need for dialog between K-12 teachers and their college counterparts, and difficulties
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- Where to Start? - Cut the Knot!, Alexander Bogomolny
A discussion of math education: the intent of the NCTM Standards, reflections on the history of constructivism, classroom practices (with a link to Marilyn Burns' Math Solutions page), and a simple applet for solving linear equations. An interactive column
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