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E-raamat: Activating Math Talk: 11 Purposeful Techniques for Your Elementary Students

  • Formaat: PDF+DRM
  • Sari: Corwin Mathematics Series
  • Ilmumisaeg: 24-Sep-2020
  • Kirjastus: Corwin Press Inc
  • Keel: eng
  • ISBN-13: 9781071821602
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  • Formaat: PDF+DRM
  • Sari: Corwin Mathematics Series
  • Ilmumisaeg: 24-Sep-2020
  • Kirjastus: Corwin Press Inc
  • Keel: eng
  • ISBN-13: 9781071821602

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Achieve High-Quality Mathematics Discourse With Purposeful Talk Techniques

Engaging students in high quality discourse is important for their conceptual learning, but successfully promoting such discourse in elementary classrooms—with attention to the needs of every learner—can be a challenge. Based on research, Activating Math Talk tackles this challenge by bringing 11 practical, math-specific, productive discourse techniques to the classroom. You will be guided through each technique with

·         Classroom examples spanning grades K–5

·         Reflection moments to help you relate to your own instruction

·         Classroom vignettes that illustrate the techniques in action

·         Group discussion questions for engaging with colleagues


Arvustused

This book provides the perfect answer to the question, How can I help students engage in high-quality math discourse in my classroom? The experiences of real teachers in real classrooms, brought to life through a series of vignettes, provide vivid illustrations of how the 11 techniques described can get students thinking and talking about mathematics. The book is a game changer for elementary teachers! -- Margaret (Peg) Smith Weve come a long way since discussion in math class meant that individual students shared their strategies one after the other with little interaction or reflection. This book is based on the premise that discourse skills can and must be learned and practiced if all students are to have access to participation in high-quality talk about significant mathematical ideas. Based on a decade of work with teachers and coaches, it provides clear, specific strategies illustrate d with classroom examples for supporting students as they learn how to talk, listen, and question during all phases of the math lesson. -- Susan Jo Russell Packed with powerful teaching ideasthere are so many excellent teaching strategies in this single book! A teacher could learn to implement one or two of these techniques and the book will have been worth its cost. It provided ideas that I wanted to try to implement RIGHT AWAY!" -- Amanda Jansen This book does a great job of providing how-to steps that I was able to incorporate into my own practice. These techniques for discourse are appropriate for a wide variety of grade and skill levels. I especially appreciated the strategies for differentiation and for meeting the needs of emergent multilinguals. -- Tyler Erickson We teachers know students can talk. But teaching how to talk to further mathematical understanding is challenging. Activating Math Talk gave me strategies to guide students, even reticent ones, into meaningful mathematical discourse. It challenged me to be more purposeful in opening spaces for students to surprise you. It changed the way I taught and listened to students, making me a better teacher, and helped me create an exciting, respectful classroom environment where my students gained confidence and competence in building shared mathematical understanding. -- Kim Zeugner Fostering a discourse-rich classroom is essential for emergent multilingual learners to develop deep understandings of mathematics. The authors provide the what, why, and how of developing meaningful learning communities through practical, research-based suggestions that teachers can take directly into their classrooms. The inclusion of excerpts from real classrooms allows us insights into the teachers and learners experiences as we learn how to center and foster language in the mathematics classroom. This book is a great resource for teachers and teacher educators who wonder how to help move the math forward while students are acquiring language. -- Zandra de Araujo This book is set up well for grade-level teams to do a book study and set goals for how they are working towards creating a discourse community in their classrooms. -- Joshua Males This is a needed resource right now. We teachers just arent doing this in our classrooms and we need a resource to develop this aspect of our instruction. -- Kyle Cayce

Acknowledgments xv
About the Authors xviii
Preface xix
PART I UNDERSTANDING HIGH-QUALITY MATH DISCOURSE FOR ALL STUDENTS
Chapter 1 High-Quality Discourse In Math Classrooms
2(12)
Comparing Discourse Scenarios
2(4)
Defining Math Discourse
6(2)
Different Types of Math Discourse
8(4)
High-Quality Math Discourse
12(1)
Discuss With Colleagues
13(1)
Connect to Your Practice
13(1)
Chapter 2 Engaging Emergent Multilingual Learners In Discourse
14(9)
Knowing More About Emergent Multilingual Learners
14(2)
Guiding Principles for Effective Math Instruction of Emergent Multilingual Learners
16(2)
Avoiding the Deficit Language Trap
18(1)
Using Appropriate Supports in Your Classroom
19(2)
Promoting the Learning of Your Emergent Math Communicators
21(1)
Discuss With Colleagues
22(1)
Connect to Your Practice
22(1)
Chapter 3 Math Knowledge For Facilitating Discourse
23(11)
Mathematics Knowledge for Teaching
23(1)
Connecting Mathematics Knowledge for Teaching and Discourse
24(1)
Using Mathematics Knowledge for Teaching to Select Tasks Worth Talking About
25(2)
Attending to Your Own Mathematics Knowledge for Teaching
27(2)
Discuss With Colleagues
29(1)
Connect to Your Practice
30(1)
Key Takeaways About High-Quality Math Discourse
31(3)
PART II ACTIVATING MATH DISCOURSE IN THE CLASSROOM
Chapter 4 Teaching Students To Talk About Math
34(10)
Setting Norms
34(2)
Using Instructional Moves
36(3)
Implementing Practices for Orchestrating Discussions
39(2)
Taking Stock
41(1)
Considering Literacy Techniques
42(1)
Discuss With Colleagues
43(1)
Connect to Your Practice
43(1)
Chapter 5 Structuring Math Lessons For High-Quality Discourse
44(12)
The Discuss Phase
46(1)
The Explore Phase
47(1)
The Launch Phase
48(2)
The Plan Phase
50(1)
The Reflect Phase
51(1)
Discuss With Colleagues
52(1)
Connect to Your Practice
52(1)
Key Takeaways About Activating High-Quality Math Discourse
53(3)
PART III TALK TECHNIQUES FOR THE LAUNCH PHASE
Chapter 6 Story Problem Retelling
56(12)
What Is Story Problem Retelling?
56(1)
Why Might You Use Story Problem Retelling?
56(2)
Getting Started With Story Problem Retelling
58(2)
Supports That Help With Story Problem Retelling
60(1)
Improving and Adapting Story Problem Retelling
61(2)
Examine Practice
63(3)
Discuss With Colleagues
66(1)
Connect to Your Practice
67(1)
Chapter 7 Task Think-Aloud
68(13)
What Is a Task Think-Aloud?
68(1)
Why Might You Use a Task Think-Aloud?
69(3)
Getting Started With Task Think-Alouds
72(1)
Supports That Help With the Task Think-Aloud
72(2)
Improving and Adapting Task Think-Alouds
74(1)
Examine Practice
74(5)
Discuss With Colleagues
79(1)
Connect to Your Practice
80(1)
Chapter 8 Math Bet Lines
81(15)
What Are Math Bet Lines?
81(1)
Why Might You Use Math Bet Lines?
82(2)
Getting Started With Math Bet Lines
84(2)
Supports That Help With Math Bet Lines
86(2)
Improving and Adapting Math Bet Lines
88(1)
Examine Practice
89(4)
Discuss With Colleagues
93(1)
Connect to Your Practice
93(1)
Key Takeaways About the Launch Phase
94(2)
PART IV TALK TECHNIQUES FOR THE EXPLORE PHASE
Chapter 9 Think-Pair-Rehearse-Share
96(11)
What Is Think-Pair-Rehearse-Share?
96(1)
Why Might You Use Think-Pair-Rehearse-Share?
97(1)
Getting Started With Think-Pair-Rehearse-Share
97(1)
Supports That Help With Think-Pair-Rehearse-Share
98(2)
Improving and Adapting Think-Pair-Rehearse-Share
100(1)
Examine Practice
100(5)
Discuss With Colleagues
105(1)
Connect to Your Practice
106(1)
Chapter 10 Math Four Square
107(12)
What Is Math Four Square?
107(1)
Why Might You Use Math Four Square?
108(2)
Getting Started With Math Four Square
110(1)
Supports That Help With Math Four Square
111(1)
Improving and Adapting Math Four Square
112(1)
Examine Practice
113(5)
Discuss With Colleagues
118(1)
Connect to Your Practice
118(1)
Chapter 11 Talk Triangle
119(12)
What Is Talk Triangle?
119(1)
Why Might You Use Talk Triangle?
120(1)
Getting Started With Talk Triangle
121(2)
Supports That Help With Talk Triangle
123(1)
Improving and Adapting Talk Triangle
124(2)
Examine Practice
126(4)
Discuss With Colleagues
130(1)
Connect to Your Practice
130(1)
Chapter 12 Solution Draft And Final Copy
131(15)
What Is Solution Draft and Final Copy?
131(1)
Why Might You Use Solution Draft and Final Copy?
132(1)
Getting Started With Solution Draft and Final Copy
133(1)
Supports That Help With Solution Draft and Final Copy
134(2)
Improving and Adapting Solution Draft and Final Copy
136(1)
Examine Practice
137(5)
Discuss With Colleagues
142(1)
Connect to Your Practice
142(1)
Key Takeaways About the Explore Phase
143(3)
PART V TALK TECHNIQUES FOR THE DISCUSS PHASE
Chapter 13 Math Talk Chain
146(15)
What Is Math Talk Chain?
146(1)
Why Might You Use Math Talk Chain?
147(1)
Getting Started With Math Talk Chain
147(3)
Supports That Help With Math Talk Chain
150(2)
Improving and Adapting Math Talk Chain
152(1)
Examine Practice
153(6)
Discuss With Colleagues
159(1)
Connect to Your Practice
160(1)
Chapter 14 All Talk Math
161(14)
What Is All Talk Math?
161(1)
Why Might You Use All Talk Math?
162(1)
Getting Started With All Talk Math
162(1)
Supports That Help With All Talk Math
163(2)
Improving and Adapting All Talk Math
165(1)
Examine Practice
165(6)
Discuss With Colleagues
171(1)
Connect to Your Practice
172(3)
Chapter 15 Probing And Pressing Math Questions
175(10)
What Are Probing and Pressing Math Questions?
173(1)
Why Might You Use Probing and Pressing Math Questions?
174(1)
Getting Started With Probing and Pressing Math Questions
174(2)
Supports That Help With Probing and Pressing Math Questions
176(2)
Improving and Adapting Probing and Pressing Math Questions
178(1)
Examine Practice
179(5)
Discuss With Colleagues
184(1)
Connect to Your Practice
184(1)
Chapter 16 Math Learning Summary
185(15)
What Is Math Learning Summary?
185(1)
Why Might You Use Math Learning Summary?
186(1)
Getting Started With Math Learning Summary
187(1)
Supports That Help With Math Learning Summary
188(2)
Improving and Adapting Math Learning Summary
190(2)
Examine Practice
192(4)
Discuss With Colleagues
196(1)
Connect to Your Practice
197(1)
Key Takeaways About the Discuss Phase
198(2)
PART VI PUTTING IT ALL TOGETHER
Chapter 17 Planning And Reflecting To Promote High-Quality Discourse
200(6)
The Key Is in the Planning
200(3)
Reflecting to Grow and Improve Your Discourse Practice
203(1)
Discuss With Colleagues
204(1)
Connect to Your Practice
204(1)
Key Takeaways About Putting It All Together
205(1)
Continuing the Journey Toward High-Quality Discourse 206(1)
References 207(2)
Index 209
Paola Sztajn is a Professor of Mathematics Education at North Carolina State University and is a Principal Investigator in Project AIM (All Included in Mathematics). Her research program focuses on elementary teachers professional development in mathematics and has been supported with several grants from different funding agencies. She has written over 90 papers, mostly focused on elementary school mathematics teachers and teaching. The overarching question guiding her over 20 years of work in mathematics education is: in which ways do practicing elementary teachers acquire and continue to develop the professional knowledge and identity needed to teach all students high quality mathematics?  She works with colleagues from different fields, in collaborative studies that allow for in-depth investigations of this complex question.

Daniel Heck is Vice President of Horizon Research, Inc. in Chapel Hill, North Carolina and is a Principal Investigator in Project AIM. His research and development work spans many areas of mathematics education: classroom learning environments and discourse; teacher professional development design, enactment, and impacts; curriculum design and enactment; and student problem solving. Tying all of this work together is a central interest in how teaching and learning in school can tap into students intuitions, informal ideas, and insights to develop powerful, formal understandings of mathematics. He has enjoyed and benefitted from collaboration with colleagues in practice and research locally, across the country, and around the world who share this interest. 

Kristen Malzahn is a Senior Researcher at Horizon Research, Inc. in Chapel Hill, NC and a co-Principal Investigator in Project AIM. She began her career as an elementary school teacher and went on to receive a M. Ed. in Curriculum and Instruction at the University of North Carolina at Greensboro. Over the past two decades, she has worked on several mathematics education research and evaluation projects and published a number of journal articles and book chapters, many of which focused on mathematics professional development for elementary and middle grades teachers. Understanding the successes and challenges of teaching, she is most interested in supporting teachers as they work to provide effective mathematics instruction for each and every student.