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9780321331793

Problem Solving Approach to Mathematics for Elementary School Teachers, A

by ; ;
  • ISBN13:

    9780321331793

  • ISBN10:

    0321331796

  • Edition: 9th
  • Format: Hardcover
  • Copyright: 2007-01-01
  • Publisher: Addison Wesley
  • View Upgraded Edition
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List Price: $160.00

Summary

Setting the Standard for Tomorrow's Teachers: This best-selling text continues as a comprehensive, skills-based resource for future teachers. In this edition, students will benefit from additional emphasis on active and collaborative learning. Revised and updated content will better prepare your students for the day when they will be teachers with students of their own.

Table of Contents

Preface x
Acknowledgments xvii
An Introduction to Problem Solving
1(68)
Mathematics and Problem Solving
3(19)
Explorations with Patterns
22(17)
Algebraic Thinking
39(14)
Logic: An Introduction
53(16)
Questions from the Classroom
64(1)
Chapter Outline and Review
65(4)
Sets, Whole Numbers, and Functions
69(83)
Describing Sets
71(13)
Other Set Operations and Their Properties
84(12)
Addition and Subtraction of Whole Numbers
96(15)
Multiplication and Division of Whole Numbers
111(17)
Functions
128(24)
Questions from the Classroom
146(1)
Chapter Outline and Review
147(5)
Numeration Systems and Whole-Number Computation
152(62)
Numeration Systems
153(16)
Algorithms for Whole Number Addition and Subtraction
169(13)
Algorithms for Whole-Number Multiplication and Division
182(17)
Mental Mathematics and Estimation for Whole-Number Operations
199(15)
Questions from the Classroom
208(1)
Chapter Outline and Review
209(5)
Integers and Number Theory
214(83)
Integers and the Operations of Addition and Subtraction
216(15)
Multiplication and Division of Integers
231(15)
Divisibility
246(13)
Prime and Composite Numbers
259(14)
Greatest Common Divisor and Least Common Multiple
273(12)
Clock and Modular Arithmetic
285(12)
Questions from the Classroom
292(1)
Chapter Outline and Review
293(4)
Rational Numbers as Fractions
297(67)
The Set of Rational Numbers
299(15)
Addition and Subtraction of Rational Numbers
314(15)
Multiplication and Division of Rational Numbers
329(17)
Proportional Reasoning
346(18)
Questions from the Classroom
358(1)
Chapter Outline and Review
359(5)
Decimals, Percents, and Real Numbers
364(67)
Introduction to Decimals
366(8)
Operations on Decimals
374(15)
Nonterminating Decimals
389(9)
Real Numbers
398(9)
Percents
407(14)
Computing Interest
421(10)
Questions from the Classroom
427(1)
Chapter Outline and Review
428(3)
Probability
431(70)
How Probabilities Are Determined
433(15)
Multistage Experiments with Tree Diagrams and Geometric Probabilities
448(19)
Using Simulations in Probability
467(8)
Odds, Conditional Probability, and Expected Value
475(9)
Using Permutations and Combinations in Probability
484(17)
Questions from the Classroom
496(1)
Chapter Outline and Review
497(4)
Data Analysis/Statistics: An Introduction
501(69)
Statistical Graphs of Categorical and Numerical Data
503(21)
Measures of Central Tendency and Variation
524(28)
Abuses of Statistics
552(18)
Questions from the Classroom
564(1)
Chapter Outline and Review
564(6)
Introductory Geometry
570(73)
Basic Notions
572(17)
Polygons
589(11)
More About Angles
600(14)
Geometry in Three Dimensions
614(14)
Networks
628(15)
Questions from the Classroom
637(1)
Chapter Outline and Review
638(5)
Constructions, Congruence, and Similarity
643(92)
Congruence Through Constructions
644(18)
Other Congruence Properties
662(7)
Other Constructions
669(12)
Similar Triangles and Similar Figures
681(17)
Trigonometry Ratios via Similarity
698(9)
Lines in a Cartesian Coordinate System
707(28)
Questions from the Classroom
729(1)
Chapter Outline and Review
730(5)
Concepts of Measurement
735(93)
Linear Measure
737(13)
Areas of Polygons and Circles
750(20)
The Pythagorean Theorem and the Distance Formula
770(16)
Surface Areas
786(12)
Volume, Mass, and Temperature
798(30)
Questions from the Classroom
821(1)
Chapter Outline and Review
822(6)
Motion Geometry and Tessellations
828(65)
Translations and Rotations
830(15)
Reflections and Glide Reflections
845(13)
Size Transformations
858(10)
Symmetries
868(11)
Tessellations of the Plane
879(14)
Questions from the Classroom
887(1)
Chapter Outline and Review
887(6)
Appendix I Using a Spreadsheet 893(8)
Appendix II Graphing Calculators 901(10)
Appendix III Using a Geometry Drawing Utility 911(24)
Answers 935(84)
Index 1019

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