Strategies for Teaching Mathematics

Shell Education......Page 0
Title Page......Page 1
Credits......Page 2
Table of Contents......Page 3
Foreword......Page 5
Research......Page 7
How to Use This Book......Page 20
Correlation to Standards......Page 22
About the Authors......Page 24
Strategies for Vocabulary Development......Page 25
Vocabulary Development Overview......Page 27
Alike and Different......Page 30
Total Physical Response......Page 36
Math Hunt......Page 41
Root Word Tree......Page 46
Sharing Mathematics......Page 53
Vocabulary Flip Book......Page 58
Content Links......Page 64
Strategies for Using Manipulatives......Page 69
Common Questions About Manipulatives......Page 71
Using Manipulatives Effectively......Page 73
Strategies for Organizing Manipulatives......Page 74
Strategies for Free Exploration of Manipulatives......Page 77
Strategies for Modeling While Using Manipulatives......Page 78
Strategies for Grouping Students While Using Manipulatives......Page 79
The Manipulative Survival Guide......Page 81
Preventing Manipulative Dependency......Page 82
Using Counters for Skip Counting by 2s and 5s......Page 83
Using Counters for Multiplication with Arrays......Page 86
Using Counters for Solving Linear Equations......Page 89
Using Linking Cubes for Data Analysis......Page 92
Using Linking Cubes for Understanding Area and Perimeter......Page 95
Using Linking Cubes for Understanding Probability......Page 98
Using Base Ten Blocks for Addition......Page 101
Using Base Ten Blocks for Division......Page 104
Using Algebra Tiles for Collecting Like Terms......Page 107
Using Pattern Blocks for Spatial Visualization......Page 111
Using Pattern Blocks for Transformations in Quadrant 1......Page 114
Using Pattern Blocks for Rotational Symmetry......Page 119
Strategies for Teaching Procedures......Page 123
Teaching Procedures Overview......Page 125
Alternative Algorithm for Addition......Page 136
Alternative Algorithm for Subtraction......Page 139
Alternative Algorithm for Multiplication......Page 142
Alternative Algorithm for Division......Page 145
Adding Fractions......Page 148
Missing Addends......Page 151
Collecting Like Terms......Page 154
Linear Equations......Page 157
Calculating Area......Page 160
Calculating Perimeter......Page 163
Calculating Volume......Page 166
Finding Missing Angle Measures......Page 169
Measuring Length......Page 172
Converting Measurements......Page 175
Creating Graphs......Page 178
Finding Central Tendencies......Page 181
Strategies for Understanding Problem Solving......Page 185
Problem-Solving Overview......Page 187
Problem-Solving Difficulty Factors......Page 188
Problem-Solving Process......Page 195
12 Strategies for Problem Solving......Page 198
Drawing a Diagram......Page 199
Acting It Out or Using Concrete Materials......Page 203
Creating a Table......Page 207
Looking for a Pattern......Page 210
Guessing and Checking......Page 214
Creating an Organized List......Page 217
Working Backwards......Page 220
Creating a Tree Diagram......Page 223
Using Simpler Numbers......Page 226
Using Logical Reasoning......Page 229
Analyzing and Investigating......Page 232
Solving Open-Ended Problems......Page 235
Strategies for Using Mathematical Games......Page 239
Games Overview......Page 241
Concept-Based Games......Page 243
Who Has? Games......Page 245
Category Quiz Games......Page 247
MATHO Games......Page 249
Matching Games......Page 251
Game Rules and Templates......Page 253
Strategies for Assessing Mathematical Thinking......Page 263
Assessment Overview......Page 265
Interviews......Page 268
Observation......Page 272
Performance Tasks......Page 275
Self- and Peer-Evaluations......Page 278
Graphic Organizers......Page 282
Mathematics Journals......Page 286
Rubrics......Page 289
Portfolios......Page 292
Appendices......Page 295
Appendix A: References Cited......Page 296
Appendix B: Mathematics-Related Children’s Literature List......Page 300
Appendix C: Grade-Level Vocabulary Lists......Page 305
Appendix D: Answer Key......Page 311
Appendix E: Contents of Teacher Resource CD......Page 317