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Tables of Contents for Mathematics for Elementary Teachers
Chapter/Section Title
Page #
Page Count
Introduction to Problem-Solving
1
36
The Problem-Solving Process and Strategies
3
13
Three Additional Strategies
16
21
Sets, Whole Numbers, and Numeration
37
52
Sets As a Basis for Whole Numbers
39
11
Whole Numbers and Numeration
50
11
The Hindu-Arabic System
61
10
Functions
71
18
Whole Numbers: Operations and Properties
89
44
Addition and Subtraction
91
14
Multiplication and Division
105
15
Ordering and Exponents
120
13
Whole-Number Computation: Mental, Electronic, and Written
133
44
Mental Math, Estimation, and Calculators
135
15
Written Algorithms for Whole-Number Operations
150
17
Algorithms in Other Bases
167
10
Number Theory
177
32
Primes, Composites, and Tests for Divisibility
179
13
Counting Factors, Greatest Common Factor, and Least Common Multiple
192
17
Fractions
209
48
The Set of Fractions
211
15
Fractions: Addition and Subtraction
226
11
Fractions: Multiplication and Division
237
20
Decimals, Ratio and Proportion, and Percent
257
54
Decimals
259
10
Operations with Decimals
269
11
Ratio and Proportion
280
11
Percent
291
20
Integers
311
36
Addition and Subtraction
313
13
Multiplication, Division, and Order
326
21
Rational Numbers and Real Numbers, with an Introduction to Algebra
347
64
The Rational Numbers
349
19
The Real Numbers
368
18
Functions and Their Graphs
386
25
Statistics
411
46
Organizing and Picturing Information
413
17
Analyzing Data
430
27
Probability
457
50
Probability and Simple Experiments
459
14
Probability and Complex Experiments
473
15
Odds, Conditional Probability, Expected Value, and Simulation
488
19
Geometric Shapes
507
78
Recognizing Geometric Shapes and Definitions
509
16
Analyzing Shapes
525
14
Properties of Geometric Shapes: Lines and Angles
539
12
Regular Polygons and Tessellations
551
12
Describing Three-Dimensional Shapes
563
22
Measurement
585
76
Measurement with Nonstandard and Standard Units
587
20
Length and Area
607
24
Surface Area
631
10
Volume
641
20
Geometry Using Triangle Congruence and Similarity
661
66
Congruence of Triangles
663
12
Similarity of Triangles
675
13
Basic Euclidean Constructions
688
11
Additional Euclidean Constructions
699
12
Geometric Problem Solving Using Triangle Congruence and Similarity
711
16
Geometry Using Coordinates
727
44
Distance and Slope in the Coordinate Plane
729
13
Equations and Coordinates
742
13
Geometric Problem Solving Using Coordinates
755
16
Geometry Using Transformations
771
59
Transformations
773
25
Congruence and Similarity Using Transformations
798
19
Geometric Problem Solving Using Transformations
817
13
Epilogue: An Eclectic Approach to Geometry
830
5
Technology Section
835
51
C.1 Programming in BASIC
835
24
C.2 Programming in LOGO: Turtle Geometry
859
15
C.3 Computer Exploration Software for Geometry
874
4
C.4 Graphics Calculators
878
8
Topic 1. Elementary Logic
886
13
Topic 2. Relations
899
7
Topic 3. Advanced Counting Techniques: Permutations and Combinations
906
9
Topic 4. Clock Arithmetic: A Mathematical System
915
8
References for Reflections from Research
923
Answers to Exercise/Problem Sets-Part A and Tests, Chapter Tests, Technology Section, and Topics and Tests Section
A1
Photo Credits
A78
Index
I1