Includes bibliographical references and index

1. Thinking critically -- 1.1. Some surprising tidbits -- 1.2. An introduction to problem solving -- 1.3. Pólya's problem-solving principles -- 1.4. More problem-solving strategies -- 1.5. Additional problem-solving strategies -- 1.6. Problem solving in the real world -- Chapter 1 summary -- Chapter review exercises -- Chapter test -- 2. Sets, whole numbers, and functions -- 2.1. Sets and operations on sets -- 2.2. Sets, counting, and the whole numbers -- 2.3. Addition and subtraction of whole numbers -- 2.4. Multiplication and division of whole numbers -- 2.5. Functions -- Chapter 2 summary -- Chapter review exercises -- Chapter test -- 3. Numeration and computation -- 3.1. Numeration systems past and present -- 3.2. Nondecimal positional systems -- 3.3. Algorithms for adding and subtracting whole numbers -- 3.4. Algorithms for multiplication and division of whole numbers -- 3.5. Mental arithmetic and estimation -- 3.6. Getting the most out of your calculator -- Chapter 3 summary -- Chapter review exercises -- Chapter test -- 4. Number theory -- 4.1. Divisibility of natural numbers -- 4.2. Tests for divisibility -- 4.3. Greatest common divisors and least common multiples -- 4.4. Clock arithmetic -- Chapter 4 summary -- Chapter review exercises -- Chapter test -- 5. Integers -- 5.1. Representations of integers -- 5.2. Addition and subtraction of integers -- 5.3. Multiplication and division of integers -- Chapter 5 summary -- Chapter review exercises -- Chapter test -- 6. Fractions and rational numbers -- 6.1. The basic concepts of fractions and rational numbers -- 6.2. The arithmetic of rational numbers -- 6.3. The rational number system -- Chapter 6 summary -- Chapter review exercises -- Chapter test

7. Decimals and real numbers -- 7.1. Decimals -- 7.2. Computations with decimals -- 7.3. Ratio and proportion -- 7.4. Percent -- Chapter 7 summary -- Chapter review exercises -- Chapter test -- 8. Statistics : the interpretation of data -- 8.1. The graphical representation of data -- 8.2. Measures of central tendency and variability -- 8.3. Statistical inference -- Chapter 8 summary -- Chapter review exercises -- Chapter test -- 9. Probability -- 9.1. Empirical probability -- 9.2. Principles of counting -- 9.3. Theoretical probability -- Chapter 9 summary -- Chapter review exercises -- Chapter test -- 10. Geometric figures -- 10.1. Figures in the plane -- 10.2. Curves and polygons in the plane -- 10.3. Figures in space -- 10.4. Networks -- Chapter 10 summary -- Chapter review exercises -- Chapter test -- 11. Measurement -- 11.1. The measurement process -- 11.2. Area and perimeter -- 11.3. The Pythagorean theorem -- 11.4. Surface area and volume -- Chapter 11 summary -- Chapter review exercises -- Chapter test -- 12. Transformations, symmetries, and tilings -- 12.1. Rigid motions and similarity transformation -- 12.2. Patterns and symmetries -- 12.3. Tilings and Escher-like designs -- Chapter 12 summary -- Chapter review exercises -- Chapter test -- 13. Congruence, constructions, and similarity -- 13.1. Congruent triangles -- 13.2. Constructing geometric figures -- 13.3. Similar triangles -- Chapter 13 summary -- Chapter review exercises -- Chapter test -- 14. Coordinate geometry -- 14.1. The Cartesian coordinate system -- 14.2. LInes and their graphs -- 14.3. Solving geometric problems using coordinates -- 14.4. Graphing functions -- Chapter 14 summary -- Chapter review exercises -- Chapter test -- Appendices -- Appendix A. Manipulatives in the mathematics classroom -- Appendix B. Spreadsheets -- Appendix C. Graphing calculators -- Appendix D.A brief guide to The geometer's sketchpad -- Answers to selected problems