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.


Book Synopsis Knowing and Teaching Elementary Mathematics by : Liping Ma

Download or read book Knowing and Teaching Elementary Mathematics written by Liping Ma and published by Routledge. This book was released on 2010-03-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Vision in Elementary Mathematics

Vision in Elementary Mathematics

Author: W. W. Sawyer

Publisher: Courier Corporation

Published: 2012-09-26

Total Pages: 352

ISBN-13: 0486143627

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Sure-fire techniques of visualizing, dramatizing, and analyzing numbers promise to attract and retain students' attention and understanding. Topics include basic multiplication and division, algebra, word problems, graphs, negative numbers, fractions, many other practical applications of elementary mathematics. 1964 ed. Answers to Problems.


Book Synopsis Vision in Elementary Mathematics by : W. W. Sawyer

Download or read book Vision in Elementary Mathematics written by W. W. Sawyer and published by Courier Corporation. This book was released on 2012-09-26 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sure-fire techniques of visualizing, dramatizing, and analyzing numbers promise to attract and retain students' attention and understanding. Topics include basic multiplication and division, algebra, word problems, graphs, negative numbers, fractions, many other practical applications of elementary mathematics. 1964 ed. Answers to Problems.


100 Great Problems of Elementary Mathematics

100 Great Problems of Elementary Mathematics

Author: Heinrich Dörrie

Publisher: Courier Corporation

Published: 2013-04-09

Total Pages: 416

ISBN-13: 0486318478

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Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.


Book Synopsis 100 Great Problems of Elementary Mathematics by : Heinrich Dörrie

Download or read book 100 Great Problems of Elementary Mathematics written by Heinrich Dörrie and published by Courier Corporation. This book was released on 2013-04-09 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.


Mathematics

Mathematics

Author: Richele Baburina

Publisher:

Published: 2012-09

Total Pages: 100

ISBN-13: 9781616342012

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Book Synopsis Mathematics by : Richele Baburina

Download or read book Mathematics written by Richele Baburina and published by . This book was released on 2012-09 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Ray's New Primary Arithmetic for Young Learners

Ray's New Primary Arithmetic for Young Learners

Author: Joseph Ray

Publisher: Рипол Классик

Published: 1877

Total Pages: 108

ISBN-13:

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Book Synopsis Ray's New Primary Arithmetic for Young Learners by : Joseph Ray

Download or read book Ray's New Primary Arithmetic for Young Learners written by Joseph Ray and published by Рипол Классик. This book was released on 1877 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Understanding Numbers in Elementary School Mathematics

Understanding Numbers in Elementary School Mathematics

Author: Hongxi Wu

Publisher: American Mathematical Soc.

Published: 2011

Total Pages: 586

ISBN-13: 0821852604

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This is a textbook for pre-service elementary school teachers and for current teachers who are taking professional development courses. By emphasizing the precision of mathematics, the exposition achieves a logical and coherent account of school mathematics at the appropriate level for the readership. Wu provides a comprehensive treatment of all the standard topics about numbers in the school mathematics curriculum: whole numbers, fractions, and rational numbers. Assuming no previous knowledge of mathematics, the presentation develops the basic facts about numbers from the beginning and thoroughly covers the subject matter for grades K through 7. Every single assertion is established in the context of elementary school mathematics in a manner that is completely consistent with the basic requirements of mathematics. While it is a textbook for pre-service elementary teachers, it is also a reference book that school teachers can refer to for explanations of well-known but hitherto unexplained facts. For example, the sometimes-puzzling concepts of percent, ratio, and rate are each given a treatment that is down to earth and devoid of mysticism. The fact that a negative times a negative is a positive is explained in a leisurely and comprehensible fashion.


Book Synopsis Understanding Numbers in Elementary School Mathematics by : Hongxi Wu

Download or read book Understanding Numbers in Elementary School Mathematics written by Hongxi Wu and published by American Mathematical Soc.. This book was released on 2011 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook for pre-service elementary school teachers and for current teachers who are taking professional development courses. By emphasizing the precision of mathematics, the exposition achieves a logical and coherent account of school mathematics at the appropriate level for the readership. Wu provides a comprehensive treatment of all the standard topics about numbers in the school mathematics curriculum: whole numbers, fractions, and rational numbers. Assuming no previous knowledge of mathematics, the presentation develops the basic facts about numbers from the beginning and thoroughly covers the subject matter for grades K through 7. Every single assertion is established in the context of elementary school mathematics in a manner that is completely consistent with the basic requirements of mathematics. While it is a textbook for pre-service elementary teachers, it is also a reference book that school teachers can refer to for explanations of well-known but hitherto unexplained facts. For example, the sometimes-puzzling concepts of percent, ratio, and rate are each given a treatment that is down to earth and devoid of mysticism. The fact that a negative times a negative is a positive is explained in a leisurely and comprehensible fashion.


An Elementary Arithmetic

An Elementary Arithmetic

Author: George Albert Wentworth

Publisher:

Published: 1893

Total Pages: 242

ISBN-13:

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Book Synopsis An Elementary Arithmetic by : George Albert Wentworth

Download or read book An Elementary Arithmetic written by George Albert Wentworth and published by . This book was released on 1893 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:


The Essence of Mathematics Through Elementary Problems

The Essence of Mathematics Through Elementary Problems

Author: Alexandre Borovik

Publisher:

Published: 2019-06-11

Total Pages: 398

ISBN-13: 9781783746996

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Book Synopsis The Essence of Mathematics Through Elementary Problems by : Alexandre Borovik

Download or read book The Essence of Mathematics Through Elementary Problems written by Alexandre Borovik and published by . This book was released on 2019-06-11 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Math Circles for Elementary School Students

Math Circles for Elementary School Students

Author: Natasha Rozhkovskaya

Publisher: American Mathematical Soc.

Published: 2014-11-05

Total Pages: 186

ISBN-13: 1470416956

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The main part of this book describes the first semester of the existence of a successful and now highly popular program for elementary school students at the Berkeley Math Circle. The topics discussed in the book introduce the participants to the basics of many important areas of modern mathematics, including logic, symmetry, probability theory, knot theory, cryptography, fractals, and number theory. Each chapter in the first part of this book consists of two parts. It starts with generously illustrated sets of problems and hands-on activities. This part is addressed to young readers who can try to solve problems on their own or to discuss them with adults. The second part of each chapter is addressed to teachers and parents. It includes comments on the topics of the lesson, relates those topics to discussions in other chapters, and describes the actual reaction of math circle participants to the proposed activities. The supplementary problems that were discussed at workshops of Math Circle at Kansas State University are given in the second part of the book. The book is richly illustrated, which makes it attractive to its young audience. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).


Book Synopsis Math Circles for Elementary School Students by : Natasha Rozhkovskaya

Download or read book Math Circles for Elementary School Students written by Natasha Rozhkovskaya and published by American Mathematical Soc.. This book was released on 2014-11-05 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main part of this book describes the first semester of the existence of a successful and now highly popular program for elementary school students at the Berkeley Math Circle. The topics discussed in the book introduce the participants to the basics of many important areas of modern mathematics, including logic, symmetry, probability theory, knot theory, cryptography, fractals, and number theory. Each chapter in the first part of this book consists of two parts. It starts with generously illustrated sets of problems and hands-on activities. This part is addressed to young readers who can try to solve problems on their own or to discuss them with adults. The second part of each chapter is addressed to teachers and parents. It includes comments on the topics of the lesson, relates those topics to discussions in other chapters, and describes the actual reaction of math circle participants to the proposed activities. The supplementary problems that were discussed at workshops of Math Circle at Kansas State University are given in the second part of the book. The book is richly illustrated, which makes it attractive to its young audience. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).


The Mathematics of the Elementary School

The Mathematics of the Elementary School

Author: Edward Griffith Begle

Publisher: McGraw-Hill Companies

Published: 1975

Total Pages: 488

ISBN-13:

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Book Synopsis The Mathematics of the Elementary School by : Edward Griffith Begle

Download or read book The Mathematics of the Elementary School written by Edward Griffith Begle and published by McGraw-Hill Companies. This book was released on 1975 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: