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Preface | |
Introduction to Problem Solving | |
The Problem Solving Process and Strategies | |
Three Additional Strategies | |
Sets, Whole Numbers, and Numeration | |
Sets as a Basis for Whole Numbers | |
Whole Numbers and Numeration | |
The Hindu-Arabic System | |
Whole Numbers: Operations and Properties | |
Addition and Subtraction | |
Multiplication and Division | |
Ordering and Exponents | |
Whole Number Computation-Mental, Electronic, and Written | |
Mental Math, Estimation, and Calculators | |
Written Algorithms for Whole-Number Operations | |
Algorithms in Other Bases | |
Number Theory | |
Primes, Composites, and Tests for Divisibility | |
Counting Factors, Greatest Common Factor, and Least Common Multiple | |
Fractions | |
The Sets of Fractions | |
Fractions: Addition and Subtraction | |
Fractions: Multiplication and Division | |
Decimals, Ratio, Proportion, and Percent | |
Decimals | |
Operations with Decimals | |
Ratios and Proportion | |
Percent | |
Integers | |
Addition and Subtraction | |
Multiplication, Division, and Order | |
Rational Numbers, Real Numbers, and Algebra | |
The Rational Numbers | |
The Real Numbers | |
Relations and Functions | |
Functions and Their Graphs | |
Statistics | |
Organizing and Picturing Information | |
Misleading Graphs and Statistics | |
Analyzing Data | |
Probability | |
Probability and Simple Experiments | |
Probability and Complex Experiments | |
Additional Counting Techniques | |
Simulation, Expected Value, Odds, and Conditional Probability | |
Geometric Shapes | |
Recognizing Geometric Shapes | |
Level Z- Relationships | |
An Introduction to a Formal Approach to Geometry | |
Regular Polygons, Tessellations, and Circles | |
Describing Three-Dimensional Shapes | |
Measurement | |
Measurement with Nonstandard and Standard Units | |
Length and Area | |
Surface Area | |
Volume | |
Geometry Using Triangle Congruence and Similarity | |
Congruence of Triangles | |
Similarity of Triangles | |
Basic Euclidean Constructions | |
Additional Euclidean Constructions | |
Geometric Problem Solving Using Triangle Congruence and Similarity | |
Geometry Using Coordinates | |
Distance and Slope in the Coordinate Plane | |
Equations and Coordinates | |
Geometric Problem Solving Using Coordinates | |
Geometry Using Transformations | |
Transformations | |
Congruence and Similarity Using Transformations | |
Geometric Problem Solving Using Transformations | |
Epilogue: An Eclectic Approach to Geometry | |
Elementary Logic | |
Clock Arithmetic: A Mathematical System | |
Answers to Exercise/Problem Sets-Part A, Chapter Tests, and Topics A1 | |
Photograph Credits P1 | |
Index I1 | |
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