Preface | p. xi |
Introduction to Problem Solving | p. 1 |
The Problem Solving Process and Strategies | p. 3 |
Three Additional Strategies | p. 20 |
Sets, Whole Numbers, and Numeration | p. 43 |
Sets as a Basis for Whole Numbers | p. 45 |
Whole Numbers and Numeration | p. 59 |
The Hindu-Arabic System | p. 70 |
Relations and Functions | p. 82 |
Whole Numbers: Operations and Properties | p. 107 |
Addition and Subtraction | p. 109 |
Multiplication and Division | p. 123 |
Ordering and Exponents | p. 140 |
Whole Number Computation-Mental, Electronic, and Written | p. 155 |
Mental Math, Estimation, and Calculators | p. 157 |
Written Algorithms for Whole-Number Operations | p. 171 |
Algorithms in Other Bases | p. 192 |
Number Theory | p. 203 |
Primes, Composites, and Tests for Divisibility | p. 205 |
Counting Factors, Greatest Common Factor, and Least Common Multiple | p. 219 |
Fractions | p. 237 |
The Sets of Fractions | p. 239 |
Fractions: Addition and Subtraction | p. 255 |
Fractions: Multiplication and Division | p. 266 |
Decimals, Ratio, Proportion, and Percent | p. 285 |
Decimals | p. 287 |
Operations with Decimals | p. 297 |
Ratios and Proportion | p. 310 |
Percent | p. 320 |
Integers | p. 341 |
Addition and Subtraction | p. 343 |
Multiplication, Division, and Order | |
Rational Numbers, Real Numbers, and Algebra | p. 379 |
The Rational Numbers | p. 381 |
The Real Numbers | p. 399 |
Functions and Their Graphs | p. 417 |
Statistics | p. 439 |
Organizing and Picturing Information | p. 441 |
Misleading Graphs and Statistics | p. 464 |
Analyzing Data | p. 484 |
Probability | p. 513 |
Probability and Simple Experiments | p. 515 |
Probability and Complex Experiments | p. 532 |
Additional Counting Techniques | p. 549 |
Simulation, Expected Value, Odds, and Conditional Probability | p. 560 |
Geometric Shapes | p. 581 |
Recognizing Geometric Shapes | p. 583 |
Analyzing Shapes | p. 600 |
Properties of Geometric Shapes: Lines and Angles | p. 615 |
Regular Polygons and Tessellations | p. 628 |
Describing Three-Dimensional Shapes | p. 640 |
Measurement | p. 665 |
Measurement with Nonstandard and Standard Units | p. 667 |
Length and Area | p. 686 |
Surface Area | p. 707 |
Volume | p. 717 |
Geometry Using Triangle Congruence and Similarity | p. 739 |
Congruence of Triangles | p. 741 |
Similarity of Triangles | p. 752 |
Basic Euclidean Constructions | p. 765 |
Additional Euclidean Constructions | p. 777 |
Geometric Problem Solving Using Triangle Congruence and Similarity | p. 790 |
Geometry Using Coordinates | p. 807 |
Distance and Slope in the Coordinate Plane | p. 809 |
Equations and Coordinates | p. 822 |
Geometric Problem Solving Using Coordinates | p. 834 |
Geometry Using Transformations | p. 849 |
Transformations | p. 851 |
Congruence and Similarity Using Transformations | p. 875 |
Geometric Problem Solving Using Transformations | p. 893 |
Epilogue: An Eclectic Approach to Geometry | p. 909 |
Elementary Logic | p. 912 |
Clock Arithmetic: A Mathematical System | p. 923 |
Answers to Exercise/Problem Sets-Part A, Chapter Tests, and Topics A1 | |
Photograph Credits P1 | |
Index I1 | |
Table of Contents provided by Publisher. All Rights Reserved. |