A Problem Solving Approach to Mathematics for Elementary School Teachers

by Billstein, Rick

• ISBN13: 9780201749311
• ISBN10: 0201749319
• Additional ISBN(s): 9780201751307
• Edition: 7th
• Format: Hardcover
• Copyright: 2001-09-01
• Publisher: Pearson College Div
• More Book Details
• Purchase Benefits

Summary

This best-selling text emphasizes solid mathematics content, problem-solving skills, and analytical techniques. The seventh edition focuses on the National Council of Teachers of Mathematics (NCTM) Principles and Standards 2000. The text allows for a variety of approaches to teaching, encourages discussion and collaboration among students and with their instructors, allows for the integration of projects into the curriculum, and promotes discovery and active learning. Students using this text will receive solid preparation in mathematics, develop confidence in their math skills and benefit from teaching and learning techniques that really work.

Table of Contents

An Introduction to Problem Solving

Explorations with Patterns

Mathematics and Problem Solving

Algebraic Thinking

Logic: An Introduction

Sets, Whole Numbers and Functions

Describing Sets

Other Set Operations and Their Properties

Addition and Subtraction of Whole-Numbers

Multiplication and Division of Whole-Numbers

Functions

Whole Number Computation

Numeration Systems

Algorithms for Whole-Number Addition and Subtraction

Algorithms for Whole-Number Multiplication and Division

Mental Mathematics and Estimation for Whole-Number Operations

Integers and Number Theory

Integers and the Operations of Addition and Subtraction

Multiplication and Division of Integers

Divisibility

Prime and Composite Numbers

Greatest Common Divisor and Least Common Multiple

*Clock and Modular Arithmetic

Rational Numbers as Fractions

The Set of Rational Numbers

Addition and Subtraction of Rational Numbers

Multiplication and Division of Rational Numbers

Proportional Reasoning

Decimals, Percents, and Real Numbers

Introduction to Decimals

Operations on Decimals

Nonterminating Decimals

Percents

*Computing Interest

Real Numbers

Probability

How Probabilities Are Determined

Multistage Experiments with Tree Diagrams and Geometric Probabilities

Using Simulations in Probability

Odds and Expected Value

Methods of Counting

Statistics: An Introduction

Statistical Graphs

Measures of Central Tendency and Variation

Abuses of Statistics

Introductory Geometry

Basic Notions

Polygons

More About Angles

Geometry in Three Dimensions

*Networks

Constructions, Congruence and Similarity

Congruence Through Constructions

Other Congruence Properties

Other Constructions

Similar Triangles and Similar Figures

Lines in a Cartesian Coordinate System

Concepts of Measurement

Linear Measure

Areas of Polygons and Circles

The Pythagorean Theorem

Surface Areas

Volume, Mass, and Temperature

Motion Geometry and Tessellations

Translations and Rotations

Reflections and Glide Reflections

Size Transformations

Symmetries

Tessellations of the Plane

Logo Turtle Graphics

Graphing Calculators

Using a Geometry Drawing Utility

Using a Spreadsheet

Answers to Selected Problems

Index

Table of Contents provided by Publisher. All Rights Reserved.