Knowing and Teaching Elementary Mathematics

Knowing and Teaching Elementary Mathematics PDF Author: Liping Ma
Publisher: Routledge
ISBN: 1135149496
Category : Education
Languages : en
Pages : 290

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Book Description
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.

Knowing and Teaching Elementary Mathematics

Knowing and Teaching Elementary Mathematics PDF Author: Liping Ma
Publisher: Routledge
ISBN: 1135149496
Category : Education
Languages : en
Pages : 290

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Book Description
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.

Basic Mathematics

Basic Mathematics PDF Author: Serge Lang
Publisher:
ISBN: 9783540967873
Category : Mathematics
Languages : en
Pages : 475

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Book Description


The Essence of Mathematics Through Elementary Problems

The Essence of Mathematics Through Elementary Problems PDF Author: Alexandre Borovik
Publisher:
ISBN: 9781783746996
Category : Mathematics
Languages : en
Pages : 398

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Book Description


How Math Works

How Math Works PDF Author: G. Arnell Williams
Publisher: Rowman & Littlefield Publishers
ISBN: 1442218762
Category : Education
Languages : en
Pages : 347

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Book Description
We hear all the time how American children are falling behind their global peers in various basic subjects, but particularly in math. Is it our fear of math that constrains us? Or our inability to understand math’s place in relation to our everyday lives? How can we help our children better understand the basics of arithmetic if we’re not really sure we understand them ourselves? Here, G. Arnell Williams helps parents and teachers explore the world of math that their elementary school children are learning. Taking readers on a tour of the history of arithmetic, and its growth into the subject we know it to be today, Williams explores the beauty and relevance of mathematics by focusing on the great conceptual depth and genius already inherent in the elementary mathematics familiar to us all, and by connecting it to other well-known areas such as language and the conceptual aspects of everyday life. The result is a book that will help you to better explain mathematics to your children. For those already well versed in these areas, the book offers a tour of the great conceptual and historical facts and assumptions that most simply take for granted. If you are someone who has always struggled with mathematics either because you couldn’t do it or because you never really understood why the rules are the way they are, if you were irritated with the way it was taught to you with the emphasis being only on learning the rules and “recipes” by rote as opposed to obtaining a good conceptual understanding, then How Math Works is for you!

MATHEMATICS FOR ELEMENTARY TEACHERS. (PRODUCT ID 23864410).

MATHEMATICS FOR ELEMENTARY TEACHERS. (PRODUCT ID 23864410). PDF Author: MICHELLE. MANES
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


Thinking Mathematically

Thinking Mathematically PDF Author: Thomas P. Carpenter
Publisher: Heinemann Educational Books
ISBN:
Category : Education
Languages : en
Pages : 166

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Book Description
In this book the authors reveal how children's developing knowledge of the powerful unifying ideas of mathematics can deepen their understanding of arithmetic

Elementary Mathematical Models: An Accessible Development without Calculus, Second Edition

Elementary Mathematical Models: An Accessible Development without Calculus, Second Edition PDF Author: Dan Kalman
Publisher: American Mathematical Soc.
ISBN: 1470450011
Category : Mathematics
Languages : en
Pages : 528

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Book Description
Elementary Mathematical Models offers instructors an alternative to standard college algebra, quantitative literacy, and liberal arts mathematics courses. Presuming only a background of exposure to high school algebra, the text introduces students to the methodology of mathematical modeling, which plays a role in nearly all real applications of mathematics. A course based on this text would have as its primary goal preparing students to be competent consumers of mathematical modeling in their future studies. Such a course would also provide students with an understanding of the modeling process and a facility with much of the standard, non-trigonometric, content of college algebra and precalculus. This book builds, successively, a series of growth models defined in terms of simple recursive patterns of change corresponding to arithmetic, quadratic, geometric, and logistic growth. Students discover and come to understand linear, polynomial, exponential, and logarithmic functions in the context of analyzing these models of intrinsically—and scientifically—interesting phenomena including polar ice extent, antibiotic resistance, and viral internet videos. Students gain a deep appreciation for the power and limitations of mathematical modeling in the physical, life, and social sciences as questions of modeling methodology are carefully and constantly addressed. Realistic examples are used consistently throughout the text, and every topic is illustrated with models that are constructed from and compared to real data. The text is extremely attractive and the exposition is extraordinarily clear. The lead author of this text is the recipient of nine MAA awards for expository writing including the Ford, Evans, Pólya, and Allendoerfer awards and the Beckenbach Book prize. Great care has been taken by accomplished expositors to make the book readable by students. Those students will also benefit from more than 1,000 carefully crafted exercises.

Mathematics for Elementary Teachers

Mathematics for Elementary Teachers PDF Author: Sybilla Beckmann
Publisher: Pearson Education
ISBN: 9780321645807
Category : Education
Languages : en
Pages : 883

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Book Description
This activities manul includes activities designed to be done in class or outside of class. These activities promote critical thinking and discussion and give students a depth of understanding and perspective on the concepts presented in the text.

Algebra 1

Algebra 1 PDF Author: Mary P. Dolciani
Publisher:
ISBN: 9780395430569
Category : Algebra
Languages : en
Pages : 0

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Book Description


Elementary and Middle School Mathematics: Pearson New International Edition

Elementary and Middle School Mathematics: Pearson New International Edition PDF Author: John A. Van de Walle
Publisher:
ISBN: 9781292021072
Category : Mathematics
Languages : en
Pages : 592

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Book Description
For Elementary Mathematics Methods or Middle School Mathematics Methods Covers preK-8 Written by leaders in the field, this best-selling book will guide teachers as they help all PreK-8 learners make sense of math by supporting their own mathematical understanding and cultivating effective planning and instruction. Elementary and Middle School Mathematics: Teaching Developmentally provides an unparalleled depth of ideas and discussion to help teachers develop a real understanding of the mathematics they will teach and the most effective methods of teaching the various mathematics topics. This text reflects the NCTM and Common Core State Standards and the benefits of problem-based mathematics instruction.