Lessons for Extending Place Value

Lessons for Extending Place Value

Author: Maryann Wickett

Publisher: Math Solutions

Published: 2005

Total Pages: 248

ISBN-13: 0941355578

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"Through games, investigations, and children’s literature, students explore the base ten system through the ten thousands, moving from using concrete manipulatives to more abstract reasoning. Using addition, subtraction, multiplication, and division, students apply their knowledge of place value to solve a variety of problems."--pub. desc.


Knowing and Teaching Elementary Mathematics

Knowing and Teaching Elementary Mathematics

Author: Liping Ma

Publisher: Routledge

Published: 2010-03-26

Total Pages: 290

ISBN-13: 1135149496

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Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.


Analysis of Arithmetic for Mathematics Teaching

Analysis of Arithmetic for Mathematics Teaching

Author: Gaea Leinhardt

Publisher: Psychology Press

Published: 1992

Total Pages: 472

ISBN-13: 9780805809299

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This volume emerges from a partnership between the American Federation of Teachers and the Learning Research and Development Center at the University of Pittsburgh. The partnership brought together researchers and expert teachers for intensive dialogue sessions focusing on what each community knows about effective mathematical learning and instruction. The chapters deal with the research on, and conceptual analysis of, specific arithmetic topics (addition, subtraction, multiplication, division, decimals, and fractions) or with overarching themes that pervade the early curriculum and constitute the links with the more advanced topics of mathematics (intuition, number sense, and estimation). Serving as a link between the communities of cognitive researchers and mathematics educators, the book capitalizes on the recent research successes of cognitive science and reviews the literature of the math education community as well.


Teaching Mathematics

Teaching Mathematics

Author: Max A. Sobel

Publisher: Allyn & Bacon

Published: 1999

Total Pages: 0

ISBN-13: 9780205292561

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Teaching junior and senior high school math classes. Instructors of mathematics, school administrators, math specialists, and parents.


Lessons for Introducing Fractions

Lessons for Introducing Fractions

Author: Marilyn Burns

Publisher: Math Solutions

Published: 2001

Total Pages: 190

ISBN-13: 0941355330

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The Marilyn Burns Fraction Kit, Grades 4–6 is recommended to help implement the lessons in this book."--pub. desc.


Teaching Mathematics Through Games

Teaching Mathematics Through Games

Author: Mindy Capaldi

Publisher: American Mathematical Soc.

Published: 2021-05-18

Total Pages: 160

ISBN-13: 1470462842

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Active engagement is the key to learning. You want your students doing something that stimulates them to ask questions and creates a need to know. Teaching Mathematics Through Games presents a variety of classroom-tested exercises and activities that provoke the active learning and curiosity that you hope to promote. These games run the gamut from well-known favorites like SET and Settlers of Catan to original games involving simulating structural inequality in New York or playing Battleship with functions. The book contains activities suitable for a wide variety of college mathematics courses, including general education courses, math for elementary education, probability, calculus, linear algebra, history of math, and proof-based mathematics. Some chapter activities are short term, such as a drop-in lesson for a day, and some are longer, including semester-long projects. All have been tested, refined, and include extensive implementation notes.