Mathematics for Elementary School Teachers

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  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 2005-01-01
  • Publisher: Addison Wesley
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Future elementary and middle school teachers need a clear, coherent presentation of the mathematical concepts, procedures, and processes they will be called upon to teach. This text uniquely balances "what" they will teach (concepts and content) with "how" to teach (processes and communication). As a result, students using "Mathematics for Elementary School Teachers" leave the course knowing more than basic math skills; they develop a deep understanding of concepts that enables them to effectively teach others. This Fourth Edition features an increased focus on the ' big ideas' of mathematics, as well as the individual skills upon which those ideas are built.

Table of Contents

Viewing Mathematics
Mathematics as Communication
Mathematics as Reasoning
Mathematics as Problem Solving
A Connected, Balanced View of Mathematics
Sets and Whole Number Operations and Properties
Sets and Whole Numbers
Addition and Subtraction of Whole Numbers
Multiplication and Division of Whole Numbers
Estimation and Computation
Strategies and Procedures for Mental Computation
Strategies and Procedures for Estimation
Algorithms for Addition and Subtraction
Algorithms for Multiplication and Division
Number Theory
Factors and Divisibility
Prime and Composite Numbers
Understanding Integer Operations and Properties
Addition, Subtraction, and Order Properties of Integers
Integer Multiplication, Division, and Other Properties
Rational Number Operations and Properties
Rational Number Ideas and Symbols
Adding and Subtracting Rational Numbers
Multiplying Rational Numbers
Dividing, Comparing, and Ordering Rational Numbers
Proportional Reasoning
The Concept of Ratio
Proportional Variation and Solving Proportions
Solving Percent Problems
Analyzing Data
Types of Data Displays
Data Displays that Show Relationships
Describing the Average and Spread of Data
Decision Making with Data
Understanding Probability
Connecting Probability to Models and Counting
Odds and Long-Term Behavior
Permutations and Combinations
Introducing Geometry
Basic Ideas of Geometry
Solving Problems in Geometry
More About Angles
More About Triangles
More About Quadrilaterals
Extending Geometry
Geometric Patterns
Special Polygons
Three-Dimensional Figures
The Concept of Measurement
Measuring the Perimeter and Area of Polygons
Measuring the Surface Area and Volume of Solids
Exploring Ideas of Algebra and Coordinate Geometry
Variables, Expressions, and Equations
Solving Equations
Exploring Graphs of Linear Equations
Connecting Algebra and Geometry
Graphing Calculator
Geometry Exploration Software
Glossary of Geometric Terms
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