Connecting Math for Elementary Teachers: How Children Learn Mathematics
ISBN-10: 0-321-54266-5
ISBN-13: 978-0-321-54266-3
Published by Pearson
© 2009
Pub. Date: Jul 21, 2008
Format: Paper
Additional Course Materials
Description
Each chapter section contains insights and examples of how children come to understand mathematics. Many of the descriptions of how children learn are based on research, but some are based on the authors’ personal experiences with helping children learn mathematics. As appropriate, the authors also include information on the “why” behind certain mathematical topics, how to incorporate manipulatives into the classroom, and some activities to try. Each section also has “Questions for Discussion” to encourage reflection while learning. At the end of each section are “Problems and Exercises” that are specifically designed to help show how children learn mathematics. The material is presented by topic, following the standard topics covered in a traditional mathematics for future elementary or middle school teacher’s
course.
Table of Contents
Introduction
Chapter 1 Problem Solving
1.1 An Introduction to Problem Solving
1.2 Patterns
1.3 Mathematical Reasoning
Chapter 2 Sets
2.1 Set Theory
2.2 Venn Diagrams
Chapter 3 Whole Numbers
3.1 Numeration Systems
3.2 Addition and Subtraction
3.3 Multiplication and Division
3.4 Properties of Whole Number Operations
3.5 Algorithms
3.6 Mental Math & Estimation
Chapter 4 Number Theory
4.1 Factors and Multiples
4.2 Divisibility Tests
4.3 Prime and Composite Numbers
4.4 Greatest Common Factor & Least Common Multiple
Chapter 5 Integers
5.1 Children’s Understanding of Negative Numbers
5.2 Addition and Subtraction of Integers
5.3 Multiplication and Division of Integers
Chapter 6 Rational Numbers - Fractions
6.1 Fractions
6.2 Addition and Subtraction of Fractions
6.3 Multiplication and Division of Fractions
6.4 Properties of Rational Numbers
Chapter 7 Decimals, Percents, and Real Numbers
7.1 Place Value
7.2 Decimals
7.3 Decimal Computation
7.4 Ratio and Proportion
7.5 Percents
7.6 Rational, Irrational, and Real Numbers
Chapter 8 Geometry
8.1 Basic Geometric Concepts
8.2 Basic Shapes
8.3 Angles
8.4 Proof/Mathematical Reasoning/Justification/Argumentation
8.5 Three-Dimensional Geometry
Chapter 9 More Geometry
9.1 Transformations or Rigid Motions
9.2 Constructions
9.3 Symmetry
9.4 Similarity
Chapter 10 Measurement
10.1 The Concept of Measurement
10.2 Linear Measurement
10.3 Area and Perimeter
10.4 Volume and Surface Area
10.5 Time
Chapter 11 Statistics/Data Analysis
11.1 Data Analysis and Statistical Graphs
11.2 Statistical Deceptions and Examining Statistics Critically
11.3 Mean, Mode, and Median
11.4 Variation or Spread
11.5 Statistical Samples
Chapter 12 Probability
12.1 Basic Notions of Probability
12.2 More Sophisticated Concepts of Probability
Chapter 13 Algebraic Reasoning
13.1 The Concept of Variable
13.2 Algebraic Reasoning: Generalizing
13.3 Generalizing with Two Variables — Functions
13.4 Graphing: Coordinate Geometry
13.5 The Concept of Equality
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David Feikes, Keith Schwingendorf, Jeff Gregg | ©2009 | Paper; 336 pages - E-Manipulatives CD for Future Elementary School Teachers, Version 2.1, 10th Edition
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David Feikes, Keith Schwingendorf, Jeff Gregg | ©2009 | Paper; 336 pages - Mathematical Reasoning for Elementary Teachers, 5th Edition
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- Connecting Math for Elementary Teachers: How Children Learn Mathematics
David Feikes, Keith Schwingendorf, Jeff Gregg | ©2009 | Paper; 336 pages - Problem Solving Approach to Mathematics for Elementary School Teachers, A, 10th Edition
Rick Billstein, Shlomo Libeskind, Johnny W. Lott | ©2010 | Cloth; 1128 pages - MathXL 24-month Student Access Kit (for valuepacks), 4th Edition
Addison-Wesley | ©2002 | Paper
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This package contains:
- Connecting Math for Elementary Teachers: How Children Learn Mathematics
David Feikes, Keith Schwingendorf, Jeff Gregg | ©2009 | Paper; 336 pages - Problem Solving Approach to Mathematics for Elementary School Teachers, A, 10th Edition
Rick Billstein, Shlomo Libeskind, Johnny W. Lott | ©2010 | Cloth; 1128 pages - IMAP CD-ROM: Integrating Mathematics and Pedagogy to Illustrate Children's Reasoning
San Diego State University Foundation, Randy Philipp | ©2005 | CD-ROM Only; 1 pages
Package ISBN-13: 9780321662736
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This package contains:
- Connecting Math for Elementary Teachers: How Children Learn Mathematics
David Feikes, Keith Schwingendorf, Jeff Gregg | ©2009 | Paper; 336 pages - Problem Solving Approach to Mathematics for Elementary School Teachers, A, 10th Edition
Rick Billstein, Shlomo Libeskind, Johnny W. Lott | ©2010 | Cloth; 1128 pages - MyMathLab/MyStatLab Student Access Kit (for ad hoc valuepacks)
Addison-Wesley | ©2005 | Paper Package
Package ISBN-13: 9780321649928
$156.67 | Add to Cart
This package contains:
- Connecting Math for Elementary Teachers: How Children Learn Mathematics
David Feikes, Keith Schwingendorf, Jeff Gregg | ©2009 | Paper; 336 pages - Mathematics Activities for Elementary School Teachers, 10th Edition
Dan Dolan, Jim Williamson, Mari Muri | ©2010 | Paper; 368 pages - Problem Solving Approach to Mathematics for Elementary School Teachers, A, 10th Edition
Rick Billstein, Shlomo Libeskind, Johnny W. Lott | ©2010 | Cloth; 1128 pages - MyMathLab/MyStatLab Student Access Kit (for ad hoc valuepacks)
Addison-Wesley | ©2005 | Paper Package - Student's Solutions Manual for A Problem Solving Approach to Mathematics for Elementary School Teachers, 10th Edition
Rick Billstein, Shlomo Libeskind, Johnny W. Lott | ©2010 | Paper; 192 pages
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