Middle School Mathematics
Seventh Edition
Instructor’s Manual and Test
Bank
Daniel J. Brahier
Bowling Green State University
© 2024
, CONTENTS
Preface iv
Unit 1: What Does It Mean to “Do,” “Teach,” and “Learn” Mathematics?
Rationale 1
Chapter 1: Mathematics as a Process
Chapter Summary 2
Learning Outcomes 2
Sample Classroom Activities 3
Masters for PowerPoint Slides 4
Test Bank Items – Multiple Choice, Essay, Performance Tasks 9
Chapter 2: Principles of Mathematics Education
Chapter Summary 21
Learning Outcomes 21
Sample Classroom Activities 22
Masters for PowerPoint Slides 23
Test Bank Items – Multiple Choice, Essay, Performance Tasks 28
Chapter 3: Learning Theories and Psychology in Mathematics Education
Chapter Summary 39
Learning Outcomes 39
Sample Classroom Activities 40
Masters for PowerPoint Slides 41
Test Bank Items – Multiple Choice, Essay, Performance Tasks 47
Unit 2: Mathematics Curriculum and Planning
Rationale 59
Chapter 4: Standards, Objectives, and Resources
Chapter Summary 60
Learning Outcomes 61
Sample Classroom Activities 62
Masters for PowerPoint Slides 63
Test Bank Items – Multiple Choice, Essay, Performance Tasks 70
Chapter 5: Planning for Instruction
Chapter Summary 86
Learning Outcomes 87
Sample Classroom Activities 87
Masters for PowerPoint Slides 88
Test Bank Items – Multiple Choice, Essay, Performance Tasks 95
Teaching Secondary and Middle School Mathematics, 7th Edition, D.J. Brahier, page i
,Unit 3: Assessment in Mathematics
Rationale 106
Chapter 6: Assessment: Purposes and Strategies
Chapter Summary 107
Learning Outcomes 107
Sample Classroom Activities 108
Masters for PowerPoint Slides 109
Test Bank Items – Multiple Choice, Essay, Performance Tasks 116
Chapter 7: Principles of Assessment Practices
Chapter Summary 130
Learning Outcomes 131
Sample Classroom Activities 131
Masters for PowerPoint Slides 132
Test Bank Items – Multiple Choice, Essay, Performance Tasks 138
Unit 4: Mathematics Teaching
Rationale 152
Chapter 8: Teaching and Learning: Tasks, Learning Environment, and Discourse
Chapter Summary 153
Learning Outcomes 154
Sample Classroom Activities 155
Masters for PowerPoint Slides 155
Test Bank Items – Multiple Choice, Essay, Performance Tasks 161
Chapter 9: Teaching and Learning: Tools and Technology
Chapter Summary 173
Learning Outcomes 173
Sample Classroom Activities 174
Masters for PowerPoint Slides 175
Test Bank Items – Multiple Choice, Essay, Performance Tasks 180
Chapter 10: Teaching Number Sense and Algebra
Chapter Summary 191
Learning Outcomes 192
Sample Classroom Activities 192
Masters for PowerPoint Slides 193
Test Bank Items – Multiple Choice, Essay, Performance Tasks 199
Teaching Secondary and Middle School Mathematics, 7th Edition, D.J. Brahier, page ii
, Chapter 11: Teaching Geometry, Statistics/Probability, and Discrete Mathematics
Chapter Summary 207
Learning Outcomes 208
Sample Classroom Activities 208
Masters for PowerPoint Slides 209
Test Bank Items – Multiple Choice, Essay, Performance Tasks 215
Unit 5: Meeting Individual Student and Teacher Needs
Rationale 227
Chapter 12: Managing a Mathematics Classroom
Chapter Summary 228
Learning Outcomes 229
Sample Classroom Activities 230
Masters for PowerPoint Slides 231
Test Bank Items – Multiple Choice, Essay, Performance Tasks 240
Chapter 13: The Teacher of Mathematics in the School Community
Chapter Summary 255
Learning Outcomes 256
Sample Classroom Activities 256
Masters for PowerPoint Slides 257
Test Bank Items – Multiple Choice, Essay, Performance Tasks 264
Teaching Secondary and Middle School Mathematics, 7th Edition, D.J. Brahier, page iii