Connecting Math for Elementary Teachers How Children Learn Mathematics

ISBN-10: 0321542665
ISBN-13: 9780321542663
Edition: 2009
List price: $40.00 Buy it from $0.29
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Description: "This book provides general descriptions of children's learning and is intended to help show how children approach mathematics differently than adults. By connecting children's thinking to your own learning, we hope that this book will improve your  More...

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Book details

List price: $40.00
Copyright year: 2009
Publisher: Addison Wesley Higher Education
Publication date: 7/21/2008
Binding: Paperback
Pages: 336
Size: 9.00" wide x 11.25" long x 1.25" tall
Weight: 2.046
Language: English

"This book provides general descriptions of children's learning and is intended to help show how children approach mathematics differently than adults. By connecting children's thinking to your own learning, we hope that this book will improve your understanding of both mathematics and children's thinking, thereby enhancing your teaching of mathematics to children. The more you understand mathematics and how children think about mathematics, the better teacher you will be!" "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. The material is presented by topic, following the standard topics covered in a traditional mathematics for future elementary or middle school teacher's course."--BOOK JACKET.

Introduction
Problem Solving
An Introduction to Problem Solving
Patterns
Mathematical Reasoning
Sets
Set Theory
Venn Diagrams
Whole Numbers
Numeration Systems
Addition and Subtraction
Multiplication and Division
Properties of Whole Number Operations
Algorithms
Mental Math & Estimation
Number Theory
Factors and Multiples
Divisibility Tests
Prime and Composite Numbers
Greatest Common Factor & Least Common Multiple
Integers
Children's Understanding of Negative Numbers
Addition and Subtraction of Integers
Multiplication and Division of Integers
Rational Numbers - Fractions
Fractions
Addition and Subtraction of Fractions
Multiplication and Division of Fractions
Properties of Rational Numbers
Decimals, Percents, and Real Numbers
Place Value
Decimals
Decimal Computation
Ratio and Proportion
Percents
Rational, Irrational, and Real Numbers
Geometry
Basic Geometric Concepts
Basic Shapes
Angles
Proof/Mathematical Reasoning/Justification/Argumentation
Three-Dimensional Geometry
More Geometry
Transformations or Rigid Motions
Constructions
Symmetry
Similarity
Measurement
The Concept of Measurement
Linear Measurement
Area and Perimeter
Volume and Surface Area
Time
Statistics/Data Analysis
Data Analysis and Statistical Graphs
Statistical Deceptions and Examining Statistics Critically
Mean, Mode, and Median
Variation or Spread
Statistical Samples
Probability
Basic Notions of Probability
More Sophisticated Concepts of Probability
Algebraic Reasoning
The Concept of Variable
Algebraic Reasoning: Generalizing
Generalizing with Two Variables - Functions
Graphing: Coordinate Geometry
The Concept of Equality

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