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