Hundreds of Practical Ideas to Support Your Students
Buch, Englisch, 560 Seiten, Format (B × H): 217 mm x 277 mm, Gewicht: 1262 g
ISBN: 978-1-119-57329-6
Verlag: Wiley
Math teachers will find the classroom-tested lessons and strategies in this book to be accessible and easily implemented in the classroom
The Teacher’s Toolbox series is an innovative, research-based resource providing teachers with instructional strategies for students of all levels and abilities. Each book in the collection focuses on a specific content area. Clear, concise guidance enables teachers to quickly integrate low-prep, high-value lessons and strategies in their middle school and high school classrooms. Every strategy follows a practical, how-to format established by the series editors.
The Math Teacher's Toolbox contains hundreds of student-friendly classroom lessons and teaching strategies. Clear and concise chapters, fully aligned to Common Core math standards, cover the underlying research, required technology, practical classroom use, and modification of each high-value lesson and strategy.
This book employs a hands-on approach to help educators quickly learn and apply proven methods and techniques in their mathematics courses. Topics range from the planning of units, lessons, tests, and homework to conducting formative assessments, differentiating instruction, motivating students, dealing with “math anxiety,” and culturally responsive teaching. Easy-to-read content shows how and why math should be taught as a language and how to make connections across mathematical units. Designed to reduce instructor preparation time and increase student engagement and comprehension, this book:
- Explains the usefulness, application, and potential drawbacks of each instructional strategy
- Provides fresh activities for all classrooms
- Helps math teachers work with ELLs, advanced students, and students with learning differences
- Offers real-world guidance for working with parents, guardians, and co-teachers
The Math Teacher's Toolbox: Hundreds of Practical ideas to Support Your Students is an invaluable source of real-world lessons, strategies, and techniques for general education teachers and math specialists, as well as resource specialists/special education teachers, elementary and secondary educators, and teacher educators.
Fachgebiete
- Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik Naturwissenschaften, Mathematik (Unterricht & Didaktik)
- Sozialwissenschaften Pädagogik Pädagogik Bildungssystem Curricula: Planung und Entwicklung
- Sozialwissenschaften Pädagogik Schulen, Schulleitung Weiterführende Schulen
Weitere Infos & Material
List of Tables xix
About the Authors xxi
About the Editors xxiii
Acknowledgments xxv
Letter from the Editors xxvii
Introduction 1
Our Beliefs about Teaching Math 2
Structure of This Book 3
Why Good Math Teaching Matters 4
I Basic Strategies 5
1. Motivating Students 7
What is It? 7
Why We Like It 8
Supporting Research 8
Common Core Connections 9
Application 10
Nurturing Student Confidence 10
Motivating Through Math 11
Rewards 14
Motivating Through Popular Culture 15
Motivating English Language Learners and Students with Learning Differences 16
Student Handouts and Examples 18
What Could Go Wrong 18
Using Fear to Motivate 18
Stereotype Threat 19
“Why Do We Need to Know This?” 19
Misreading Students 20
Limitations to Motivation 21
Technology Connections 21
Figures 22
Figure 1.1 Pattern Blocks 22
Figure 1.2 Rotational Symmetry 23
Figure 1.3 Exponential Growth 24
Figure 1.4 Identify a Void 26
2. Culturally Responsive Teaching 27
What is It? 27
Why We Like It 28
Supporting Research 28
Common Core Connections 29
Application 30
Self-Reflection 30
Building a Collaborative Learning Partnership 32
What Could Go Wrong 36
“Color-Blind” Teaching 36
Good Intentions 37
Finding the Right Time or Place 38
Technology Connections 38
3. Teaching Math as a Language 41
What is it? 41
Why We Like It 41
Supporting Research 42
Common Core Connections 42
Application 42
Eliciting the Need for Mathematical Language 42
Introducing Symbols and Terms 43
Translating Between Symbols and Words 45
Making Connections Between Math and English 46
Examples of Confusing Mathematical Language 46
Encouraging Mathematical Precision 48
Vocabulary Charts and Flash Cards 49
Visual and Verbal Aids 51
Word Walls and Anchor Charts 52
Student Handouts and Examples 53
What Could Go Wrong 53
Not Treating Math as a Language 53
Math as a “Bag of Tricks” 54
Technology Connections 55
Figures 57
Figure 3.1 Concept Attainment 57
Figure 3.2 Words and Symbols Chart 58
Figure 3.3 Why the Word “Height” is Confusing 58
Figure 3.4 Draw a Picture 59
Figure 3.5 Functions Anchor Chart 60
Figure 3.6 Polynomials Anchor Chart 61
Figure 3.7 Why the Formula a2 + b2 = c2 is Confusing 61
4. Promoting Mathematical Communication 63
What is It? 63
Why We Like It 63
Supporting Research 64
Common Core Connections 64
Application 64
Open-Ended Questions 64
Guiding Students in Conversation 71
Four-Step Thinking Process 74
Mathematical Writing 79
Differentiating for ELLs and Students with Learning Differences 87
What Could Go Wrong 87
Dealing with Student Mistakes 87
Dealing with Teacher Mistakes 88
Problems in Discourse 88
Finding the Time 89
Student Handouts and Examples 89
Technology Connections 89
Attribution 90
Figures 91
Figure 4.1 Algebra Tiles Activity 91
Figure 4.2 Which One Doesn’t Belong? 92
Figure 4.3 Error Analysis 93
Figure 4.4 Lesson Summary 95
5. Making Mathematical Connections 97
What is It? 97
Why We Like It 97
Supporting Research 98
Common Core Connections 98
Application 98
Equivalence 99
Proportionality 101
Functions 102
Variability 104
Differentiating for ELLs and Students with Learning Differences 107
Student Handouts and Examples 108
What Could Go Wrong 108
Technology Connections 109
Figures 111