9780201749311

A Problem Solving Approach to Mathematics for Elementary School Teachers

by
  • ISBN13:

    9780201749311

  • ISBN10:

    0201749319

  • Edition: 7th
  • Format: Hardcover
  • Copyright: 9/1/2001
  • Publisher: Pearson College Div
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List Price: $113.00

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.

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