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Mathematics for Elementary Teachers: A Contemporary Approach, 8th Edition
Gary L. Musser,
Oregon State University
Blake E. Peterson,
Brigham Young University, Utah
William F. Burger
ISBN: 978-0-470-10583-2
©2008
1072 pages
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Detailed Contents
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Preface xi
1 Introduction to Problem Solving 1
1.1 The Problem Solving Process and Strategies 3
1.2 Three Additional Strategies 20
2 Sets, Whole Numbers, and Numeration 43
2.1 Sets as a Basis for Whole Numbers 45
2.2 Whole Numbers and Numeration 59
2.3 The Hindu–Arabic System 70
2.4 Relations and Functions 82
3 Whole Numbers: Operations and Properties 107
3.1 Addition and Subtraction 109
3.2 Multiplication and Division 123
3.3 Ordering and Exponents 140
4 Whole Number Computation—Mental, Electronic,
and Written 155
4.1 Mental Math, Estimation, and Calculators 157
4.2 Written Algorithms for Whole-Number Operations 171
4.3 Algorithms in Other Bases 192
5 Number Theory 203
5.1 Primes, Composites, and Tests for Divisibility 205
5.2 Counting Factors, Greatest Common Factor, and Least Common Multiple 219
6 Fractions 237
6.1 The Sets of Fractions 239
6.2 Fractions: Addition and Subtraction 255
6.3 Fractions: Multiplication and Division 266
7 Decimals, Ratio, Proportion, and Percent 285
7.1 Decimals 287
7.2 Operations with Decimals 297
7.3 Ratios and Proportion 310
7.4 Percent 320
8 Integers 341
8.1 Addition and Subtraction 343
8.2 Multiplication, Division, and Order
9 Rational Numbers, Real Numbers, and Algebra 379
9.1 The Rational Numbers 381
9.2 The Real Numbers 399
9.3 Functions and Their Graphs 417
10 Statistics 439
10.1 Organizing and Picturing Information 441
10.2 Misleading Graphs and Statistics 464
10.3 Analyzing Data 484
11 Probability 513
11.1 Probability and Simple Experiments 515
11.2 Probability and Complex Experiments 532
11.3 Additional Counting Techniques 549
11.4 Simulation, Expected Value, Odds, and Conditional Probability 560
12 Geometric Shapes 581
12.1 Recognizing Geometric Shapes 583
12.2 Analyzing Shapes 600
12.3 Properties of Geometric Shapes: Lines and Angles 615
12.4 Regular Polygons and Tessellations 628
12.5 Describing Three-Dimensional Shapes 640
13 Measurement 665
13.1 Measurement with Nonstandard and Standard Units 667
13.2 Length and Area 686
13.3 Surface Area 707
13.4 Volume 717
14 Geometry Using Triangle Congruence
and Similarity 739
14.1 Congruence of Triangles 741
14.2 Similarity of Triangles 752
14.3 Basic Euclidean Constructions 765
14.4 Additional Euclidean Constructions 777
14.5 Geometric Problem Solving Using Triangle Congruence and Similarity 790
15 Geometry Using Coordinates 807
15.1 Distance and Slope in the Coordinate Plane 809
15.2 Equations and Coordinates 822
15.3 Geometric Problem Solving Using Coordinates 834
16 Geometry Using Transformations 849
16.1 Transformations 851
16.2 Congruence and Similarity Using Transformations 875
16.3 Geometric Problem Solving Using Transformations 893
Epilogue: An Eclectic Approach to Geometry 909
Topic 1. Elementary Logic 912
Topic 2. Clock Arithmetic: A Mathematical System 923
Answers to Exercise/Problem Sets—Part A, Chapter Tests,
and Topics A1
Photograph Credits P1
Index I1
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