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

DOWNLOAD EBOOK

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.


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

DOWNLOAD EBOOK

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.


Lessons for Extending Place Value

Lessons for Extending Place Value

Author: Maryann Wickett

Publisher: Math Solutions

Published: 2005

Total Pages: 248

ISBN-13: 0941355578

DOWNLOAD EBOOK

"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.


Lessons for Introducing Fractions

Lessons for Introducing Fractions

Author: Marilyn Burns

Publisher: Math Solutions

Published: 2001

Total Pages: 190

ISBN-13: 0941355330

DOWNLOAD EBOOK

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


Lessons for First Grade

Lessons for First Grade

Author: Stephanie Sheffield

Publisher: Math Solutions

Published: 2001

Total Pages: 178

ISBN-13: 0941355349

DOWNLOAD EBOOK

"Through manipulative materials and real-world problems, children learn to estimate, understand numerical relationships, develop number sense, compute mentally and with paper and pencil, and use arithmetic as a tool to solve problems."--pub. desc.


Lessons for Introducing Division

Lessons for Introducing Division

Author: Maryann Wickett

Publisher: Math Solutions

Published: 2002

Total Pages: 216

ISBN-13: 094135542X

DOWNLOAD EBOOK

"Through a variety of activities, students gain insight into the relationship between division and multiplication and begin to see how division relates to multiple groups of equal size. Students also learn how to recognize the two types of division problems, think about remainders in different ways, and use division to solve real-world problems."--pub. desc.


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

DOWNLOAD EBOOK

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.


Lessons for Introducing Place Value

Lessons for Introducing Place Value

Author: Maryann Wickett

Publisher: Math Solutions

Published: 2002

Total Pages: 181

ISBN-13: 9780941355452

DOWNLOAD EBOOK

Support mathematical understanding in your instructional program through this rich collection of easy-to-use teaching resources. Each book focuses on a specific arithmetic topic and offers a series of classroom-tested lessons addressing the three important aspects of arithmetic instruction--computation, number sense, and problem solving. The lessons include step-by-step directions, amount of time needed, materials required, classroom vignettes, samples of student work, reproducibles, and a discussion of the math underlying the lesson.


All the Math You'll Ever Need

All the Math You'll Ever Need

Author: Steve Slavin

Publisher: John Wiley & Sons

Published: 1999-03-29

Total Pages: 241

ISBN-13: 0471674028

DOWNLOAD EBOOK

A sharp mind, like a healthy body, is subject to the same ruleof nature: Use it or lose it Need a calculator just to work out a 15 percent service charge? Not exactly sure how to get the calculator to give you the figureyou need? Turn to this revised and updated edition of All the MathYou'll Ever Need, the friendliest, funniest, and easiest workoutprogram around. In no time, you'll have total command of all the powerfulmathematical tools needed to make numbers work for you. In adollars-and-cents, bottom-line world, where numbers influenceeverything, none of us can afford to let our math skills atrophy.This step-by-step personal math trainer: Refreshes practical math skills for your personal andprofessional needs, with examples based on everyday situations. Offers straightforward techniques for working with decimals and fractions. Demonstrates simple ways to figure discounts, calculatemortgage interest rates, and work out time, rate, and distance problems. Contains no complex formulas and no unnecessary technical terms.