| Preface |
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ix | |
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Chapter 1: The Art of Teaching |
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1 | (32) |
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1.1 Start the Period in an Interesting Way |
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1 | (3) |
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1.2 Use Historical Topics When Appropriate |
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4 | (8) |
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1.3 Make Effective Use of Manipulative Aids |
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12 | (4) |
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1.4 Make Provisions for Student Discovery |
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16 | (7) |
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1.5 End the Period with Something Special |
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23 | (6) |
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29 | (1) |
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30 | (1) |
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31 | (2) |
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Chapter 2: Motivating Mathematical Learning |
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33 | (32) |
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2.1 Provide Opportunities for Guessing and Estimating |
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34 | (2) |
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2.2 Make Use of "Mathemagical" Novelties |
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36 | (4) |
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2.3 Introduce Unusual Arithmetic Explorations |
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40 | (3) |
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2.4 Make Use of Geometric Challenges |
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43 | (8) |
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2.5 Stimulate Interest with Mathematical Recreations |
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51 | (3) |
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2.6 Use Bulletin Board Displays to Generate Interest |
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54 | (4) |
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2.7 Discuss Applications of Mathematical Concepts |
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58 | (2) |
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60 | (1) |
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61 | (3) |
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64 | (1) |
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Chapter 3: Motivating Problem-Solving Instruction |
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65 | (24) |
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3.1 An Introduction to Problem Solving |
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66 | (3) |
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3.2 Strategy for Problem Solving: Trial and Error |
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69 | (3) |
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3.3 Strategy for Problem Solving: Use an Aid, Model, or Sketch |
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72 | (4) |
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3.4 Strategy for Problem Solving: Search for a Pattern |
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76 | (3) |
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3.5 Strategy for Problem Solving: Act It Out |
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79 | (2) |
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3.6 Strategy for Problem Solving: Make a List, Table, or Chart |
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81 | (3) |
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84 | (1) |
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85 | (2) |
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87 | (2) |
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Chapter 4: Activities with Numerical Concepts |
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89 | (39) |
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4.1 Reviewing Basic Numerical Concepts |
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89 | (2) |
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4.2 Fractions and Decimals |
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91 | (7) |
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98 | (2) |
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4.4 Computational Curiosities and Games |
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100 | (1) |
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4.5 Number-Pattern Experiments |
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101 | (7) |
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4.6 Magic Squares Activities |
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108 | (7) |
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4.7 More Numerical Aids and Activities |
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115 | (7) |
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4.8 Calculator Applications |
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122 | (3) |
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125 | (1) |
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126 | (2) |
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Chapter 5: Activities in Algebra |
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128 | (35) |
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5.1 Motivation in Algebra |
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128 | (4) |
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132 | (3) |
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5.3 Graphing and the Graphing Calculator |
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135 | (4) |
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5.4 Sequences and Series Activities |
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139 | (5) |
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5.5 Algebraic Models to Manipulate |
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144 | (4) |
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5.6 More Aids and Activities |
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148 | (3) |
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5.7 Overhead Projector Ideas |
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151 | (4) |
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5.8 Calculator Applications |
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155 | (4) |
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159 | (2) |
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161 | (2) |
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Chapter 6: Activities in Geometry |
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163 | (44) |
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6.1 Motivation in Geometry |
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163 | (3) |
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166 | (7) |
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173 | (6) |
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179 | (4) |
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183 | (8) |
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6.6 Visualization Activities |
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191 | (7) |
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6.7 Measurement Experiments |
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198 | (6) |
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204 | (1) |
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205 | (2) |
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Chapter 7: Activities in Probability and Statistics |
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207 | (29) |
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7.1 Motivation in Probability and Statistics |
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207 | (3) |
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7.2 Counting and Probability |
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210 | (5) |
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7.3 Probability Experiments |
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215 | (6) |
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7.4 Statistical Activities |
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221 | (3) |
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224 | (4) |
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7.6 Making Connections to Other Topics |
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228 | (1) |
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7.7 Calculator Simulations |
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229 | (4) |
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233 | (1) |
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234 | (2) |
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Chapter 8: Iteration Activities and Fractal Patterns |
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236 | (35) |
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236 | (7) |
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8.2 Patterns from Triangles |
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243 | (5) |
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8.3 Patterns from Squares |
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248 | (5) |
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8.4 Constructing Fractal Patterns |
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253 | (5) |
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258 | (4) |
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262 | (5) |
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267 | (2) |
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269 | (2) |
| Epilogue |
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271 | (4) |
| Answers to Odd-Numbered Exercises |
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275 | (6) |
| Index |
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281 | |