Teaching Secondary and
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
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
