Math coaches wear many hats. You think on your feet and have to invent, react, and respond—often without time to prepare—in a myriad of professional contexts. What’s your go-to resource for support?
Plan, focus, and lead: Your toolkit for inspiring math teachers
Meet Everything You Need For Mathematics Coaching: Tools, Plans, and a Process That Works for Any Instructional Leader. This one-stop, comprehensive toolkit for improving mathematics instruction and learning is designed for busy math coaches and teacher leaders who often have to rely on their own competencies. Using the Leading for Mathematical Proficiency Framework, the authors position student outcomes as the focus of all professional work and connect the Eight Mathematical Practices for students with NCTM’s Eight Effective Teaching Practices to help you guide teachers toward growing mathematics proficiency in their classrooms.
This hands-on resource details critical coaching and teaching actions, and offers nearly a hundred tools for:
- Shifting classroom practice in a way that leads to student math proficiency and understanding of mathematical concepts.
- Honing in on key areas, including content knowledge and worthwhile tasks, student engagement, questioning and discourse, analysis of student work, formative assessment, support for emergent language learners and students with special needs, and more.
- Navigating a coaching conversation.
- Planning and facilitating professional learning communities.
- Finding a focus for professional development or a learning cycle.
- Making connections between professional learning activities, teaching, and student learning.
- Using the coaching cycle—plan, gather data, reflect—to build trust and rapport with teachers.
With examples from the field, a comprehensive list of resources for effective coaching, and a plethora of tools you can download and share with teachers, this toolkit is your must-have guide to designing a professional learning plan and leading with clarity and purpose.
Cuprins
Preface
Acknowledgements
About the Authors
Part 1 Creating a Roadmap: Big Ideas of Coaching, Teaching, and Learning
Chapter 1. Coaching for Mathematical Proficiency
Leading for Mathematical Proficiency (LMP) Framework
Coaching Cycle
Getting Started
Chapter 2. Implementing Effective Teaching
Coach′s Digest
Overview of Implementing Effective Teaching
Coaching Considerations for Professional Learning
Coaching Lessons from The Field
Coaching Questions for Discussion
Where to Learn More
Coach′s Tookit
2.1 Shifts in Classroom Practice Self-Assessment
2.2 Essential Planning Questions for Effective Teaching
2.3 Practices, Shifts, and Zones (Oh My)
2.4 Mathematical Practices by Design
2.5 Lesson Plan Template
2.6 Mathematical Practice Look Fors
2.7 Shifts in Classroom Practice
2.8 Effective Teaching Look Fors
2.9 Noticing Mathematical Practices
2.10 Mapping Teaching Moves to Shifts in Classroom Practice
2.11 Effective Teaching of Mathematics
Part II Exploring Zones on the Journey: Professional Learning Focus Areas
Chapter 3. Content Kowledge and Worthwhile Tasks
Coach′s Digest
Overview of Content Knowledge and Worthwhile Tasks
Coaching Considerations for Professional Learning
Coaching Lessons from the Field
Connecting to the Leading For Mathematical Proficiency (LMP) Framework
Coaching Questions for Discussion
Where to Learn More
Coach′s Toolkit
3.1 Connecting Shifts to Content and Worthwhile Tasks Self-Assessment
3.2 Connecting Shifts to Content and Tasks
3.3 Focus on Fluency
3.4 P.I.C.S. Page
3.5 Analyzing Level of Cognitive Demand
3.6 Worthwhile Task Analysis
3.7 Developing Mathematical Proficiency
3.8 Implementing Cognitively Demanding Tasks
3.9 Impact on Students’ Emerging Fluency
3.10 Reflecting on Task Implementation
Chapter 4. Engaging Students
Coach′s Digest
Overview of Engaging Students
Coaching Considerations for Professional Learning
Coaching Lessons from the Field
Connecting to the Leading for Mathematical Proficiency (LMP) Framework
Coaching Questions for Discussion
Where to Learn More
Coach′s Toolkit
4.1 Connecting Shifts to Engaging Students Self-Assessment
4.2 Total Participation Technique (TPT) Planning
4.3 Planning or Cooperative Groups
4.4 Engagement Techniques
4.5 Cooperative Groups Data Gathering
4.6 Engagement Techniques Discussion Prompts
4.7 Reflecting on Cooperative Groups
4.8 Analyzing Learning in Cooperative Groups
Chapter 5. Questioning and Discourse
Coach′s Digest
Overview of Questioning and Discourse
Coaching Considerations for Professional Learning
Coaching Lessons from the Field
Connecting to the Leading for Mathematical Proficiency (LMP) Framework
Coaching Questions for Discussion
Where to Learn More
Coach′s Toolkit
5.1 Connecting Shifts to Questioning and Discourse Self-Assessment
5.2 High-Level Thinking Questions
5.3 Questioning Across Lesson Phases
5.4 Questioning Across Lesson Phases (focus on Productive Struggle)
5.5 Bloom’s Taxonomy (Revised) and Mathematical Knowledge
5.6 Questioning Patterns
5.7 Wait Time
5.8 Productive Discussion and Talk Moves
5.9 Question and Discourse Discussion Prompts
5.10 Reflecting on Bloom’s Taxonomy (Revised) and Mathematical Knowledge
Chapter 6. Formative Assessment
Coach′s Digest
Overview of Formative Assessment
Coaching Considerations for Professional Learning
Coaching Lessons from the Field
Connecting to the Leading for Mathematical Proficiency (LMP) Framework
Coaching Questions for Discussion
Where to Learn More
Coach′s Toolkit
6.1 Connecting Shifts to Formative Assessment Self-Assessment
6.2 Planning for Five “Key Strategies” for Formative Assessment
6.3 Developing Questions to Target Misconceptions
6.4 Using Rubrics for Formative Assessment
6.5 Observing and Providing Feedback
6.6 Observing Students’ Thinking
6.7 Observing Students’ Representations
6.8 Brief Formative Assessment Interview
6.9 Five “Key Strategies” for Formative Assessment Data Collection
6.10 Using Rubrics for Formative Assessment
6.11 Analyzing Formative Assessment Key Strategies
Chapter 7. Analyzing Student Work
Coach′s Digest
Overview of Analyzing Student Work
Coaching Considerations for Professional Learning
Coaching Lessons from the Field
Connecting to the Leading for Mathematical Proficiency (LMP) Framework
Coaching Questions for Discussion
Where to Learn More
Coach′s Toolkit
7.1 Connecting Shifts to Analyzing Student Work Self-Assessment
7.2 One Day/Many Artifacts Planning
7.3 Planning Task Implementation
7.4 Understanding Student Thinking
7.5 Analyzing One Student’s Work
7.6 Analysis of Students’ Misconceptions
7.7 Collaborative Analysis Protocol
Chapter 8. Differentiating Instruction for All Learners
Coach′s Digest
Overview of Differentiating Instruction
Coaching Considerations for Professional Learning
Coaching Lessons from the Field
Connecting to the Leading for Mathematical Proficiency (LMP) Framework
Coaching Questions for Discussion
Where to Learn More
Coach′s Toolkit
8.1. Connecting Shifts to Differentiated Instruction Self-Assessment
8.2 Student Diversity
8.3 Meeting Individual Needs
8.4 Different Ways to Differentiate a Lesson
8.5 Opening Closed Tasks
8.6 Focus on Five
8.7 Differentiating Instruction
8.8 Learning from Focus on Five
8.9 Impact of Open /Tiered/Parallel Tasks
Chapter 9. Supporting Emergent Multilingual Students
Coach′s Digest
Overview of Supporting Emergent Multilingual Students
Coaching Considerations for Professional Learning
Coaching Lessons from the Field
Connecting to the Leading for Mathematical Proficiency (LMP) Framework
Coaching Questions for Discussion
Where to Learn More
Coach′s Toolkit
9.1 Connecting Shifts to Supporting Emerging Multilingual Students Self-Assessment
9.2 Culturally Responsive Mathematics Instruction (CRMI)
9.3 Planning Strategies to Support Emergent Multilingual Students
9.4 Diagnostic Interview
9.5 Focus on Culturally Responsive Mathematics Instruction (CRMI)
9.6 Teaching to Support Emergent Multilingual Students
9.7 Reflecting on Support Emergent Multilingual Students
9.8 Reflecting on Using a Diagnostic Interview
Chapter 10. Supporting Students with Special Needs
Coach′s Digest
Overview of Supporting Students with Special Needs
Coaching Considerations for Professional Learning
Coaching Lessons from the Field
Connecting to the Leading for Mathematical Proficiency (LMP) Framework
Coaching Questions for Discussion
Where to Learn More
Coach′s Toolkit
10.1 Connecting Shifts to Supporting Students with Special Needs Self-Assessment
10.2 Challenges and Support Structures
10.3 Structuring a Lesson to Support Students with Special Needs
10.4 Effective Teaching for Students with Special Needs
10.5 Implementing Support Structures for Students with Special Needs
10.6 Reflecting on Effective Teaching for Students with Special Needs
10.7 Reflecting on Structuring a Lesson for Built-In Success
Part III Navigating a Successful Journey: Strategies and Tools for You, the Coach
Chapter 11. Interacting With Colleagues
Coach′s Digest
Overview of Interacting with Colleagues
Building Trust
Establishing Rapport
Listening
Paraphrasing
Posing Questions
Where to Learn More
Chapter 12. Presenting Professional Development
Coach′s Digest
Overview of Presenting Professional Development
Tips for Presenting Professional Development
Coaching Lessons from the Field
Where to Learn More
Coach′s Toolkit
12.1 Professional Development Overview Planning
12.2 Professional Development Planning Checklist
12.3 Professional Development Planning Template
12.4 Differentiating Professional Development
12.5 Evaluating Professional Development
12.6 Sample Professional Development Activity: Grouping Strategy (P.I.C.S. Page)
12.7 Sample Professional Development Activity: Grouping Strategy (Shape Partners)
12.8 Sample Professional Development Activity: Mathematical Practices Mini-Vignettes
12.9 Sample Professional Development Activity: Mathematical Practices Playing Cards
12.10 Sample Professional Development Activity: Questioning and the Mathematical Practices
12.11 Sample Professional Development Activity: Effective Teaching Practices
Chapter 13. Facilitating Professional Learning Communities
Coach′s Digest
Overview of Facilitating Professional Learning Communities
Tips for Facilitating Professional Learning Communities
Coaching Lessons from the Field
Where to Learn More
Coach′s Toolkit
13.1 Meeting Standards Self-Assessment and Reflection
13.2 Facilitator Proficiency Scale
13.3 Sample Facilitation Activity: Appreciative Inquiry Protocol
13.4 Sample Facilitation Activity: Paraphrasing
13.5 Sample Facilitation Activity: Inclusion Strategies
13.6 Sample Facilitation Activity: Task Talk Protocol
Appendix: Bookmarks
Glossary
References
Despre autor
Beth Mc Cord Kobett, Ed D, is Professor of Education and Associate Dean at Stevenson University, where she leads, teaches and supports early childhood, elementary, and middle preservice teachers in mathematics education. She is a former classroom teacher, elementary mathematics specialist, adjunct professor, and university supervisor. Beth also served as the Director of the First Year Seminar program at Stevenson University. She recently completed a three-year term as an elected Board Member for the National Council of Teachers of Mathematics and was the former president of the Association of Maryland Mathematics Teacher Educators (AMMTE). Beth leads professional learning efforts in mathematics education both regionally and nationally. Beth is a recipient of the Mathematics Educator of the Year Award from the Maryland Council of Teachers of Mathematics (MCTM) and the Johns Hopkins University Distinguished Alumni Award. Beth also received Stevenson University’s Rose Dawson Award for Excellence in Teaching as both an adjunct and full-time faculty member. Beth believes in fostering a strengths-based community with her students and strives to make her learning space inviting, facilitate lessons that spark curiosity and innovation, and cultivate positive productive struggle.
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