Problem Solving Approach to Mathematics for Elementary School Teachers, A

by Billstein, Rick; Libeskind, Shlomo; Lott, Johnny W.

• ISBN13: 9780321331793
• ISBN10: 0321331796
• Additional ISBN(s): 9780201744170, 9780321570550
• Edition: 9th
• Format: Hardcover
• Copyright: 2007-01-01
• Publisher: Addison Wesley
• More Book Details
• Purchase Benefits

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