9780534403744

Mathematics for Teachers An Interactive Approach for Grades K-8 (with CD-ROM, BCA/iLrn™ Tutorial, and InfoTrac)

by
  • ISBN13:

    9780534403744

  • ISBN10:

    0534403743

  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 12/19/2003
  • Publisher: Brooks Cole
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Supplemental Materials

What is included with this book?

  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
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Summary

This book provides guidance for elementary teachers who are looking to learn the basics of the varying levels of elementary math. Sonnabend provides an active, engaging approach to get students into the underlying concepts of elementary education mathematics. The book includes coverage of problem-solving, reasoning, sets, arithmetic, geometry, measurements, algebra, computers, statistics, and probability. Sonnabend's well-organized lesson format encourages students to participate in the development and explanation of concepts, establishing a solid understanding of mathematics.

Table of Contents

Introduction
1. MATHEMATICAL REASONING
Inductive Reasoning
Deductive Reasoning
Inductive and Deductive Reasoning
Patterns
Problem Solving
Problem Solving Strategies
2. SETS AND FUNCTIONS
Sets
Intersection, Union and Venn Diagrams
Functions and Relations
3. WHOLE NUMBERS
Numeration Systems
Addition and Subtraction of Whole Numbers
Multiplication and Division of Whole Numbers
Properties of Whole-Number Operations
Algorithms for Whole-Number Addition and Subtraction
Algorithms for Whole-Number Multiplication and Divisions
Whole Numbers: Mental Computation and Estimation
Place Value and Algorithms in Other Bases
4. NUMBER THEORY
Factors
Divisibility
Primes and Composites
Common Factors and Multiples
5. INTEGERS
Addition and Subtraction of Integers
Multiplication and Division of Integers
Properties of Integer Operations
6. RATIONAL NUMBERS AS FRACTIONS
Rational Numbers
Addition and Subtraction of Rational Numbers
Multiplication and Division of Rational Numbers
Rational Numbers: Properties, Estimation, and Error Patterns
7. DECIMALS, PERCENTS AND REAL NUMBERS
Decimals: Place Value, Estimation and Mental Computation
Decimal Arithmetic and Error Patterns
Ratio and Proportion
Percents
Percents: Mental Computation, Estimation and Change
Rational, Irrational, and Real Numbers
8. INTRODUCTORY GEOMETRY
Beginning Geometry
Polygons
Triangles, Quadrilaterals and Circles
Angle Measures of Polygons
Three-Dimensional Geometry
Viewing and Drawing Space Figures
9. CONGRUENCE, SYMETRY AND SIMILARITY
Transformations and Congruence
Applications of Transformations
Constructions and Congruence
Symmetry
Similarity and Dilations
10. MEASUREMENT
Systems of Measurement
Perimeter and Area
Area of Quadrilaterals, Triangles, and Circles
The Pythagorean Theorem
Surface Area
Volume
Lengths, Areas, and Volumes of Similar Figures
11. ALGEBRA AND COORDINATE GEOMETRY
The Language of Algebra
Equations and Linear Functions
Non-Linear Functions
Systems of Equations and Multiple Representations
Coordinate Geometry and Networks
12. STATISTICS
Statistical Graphs and Tables
Misleading Graphs and Statistics
Measurements of the Center
Measuring Spread
Samples
Standardized Test Scores
13. PROBABILITY
Experimental and Theoretical Probability
Probability Rules and Simulations
Counting
Independent and Dependent Events
Expected Values and Odds

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