Making Sense of Mathematics for Teaching to Inform Instructional Quality. Juli K. Dixon

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СКАЧАТЬ Activity 4.5: Determining When It Is Appropriate to Ask a Follow-Up Question

       Summary

       PART 3: Connecting to the E in TQE: Evidence of Students’ Mathematical Work and Thinking

       CHAPTER 5

       Students’ Linking and Students’ Providing

       Introductory Activities

       Activity 5.1: Examining Students’ Contributions—Students’ Linking

       Activity 5.2: Examining Students’ Contributions—Students’ Providing

       Activity 5.3: Revisiting the Chapter 4 Transition Activity—Teacher’s Linking, Teacher’s Press, and Students’ Contributions

       The IQA Students’ Linking and Students’ Providing Rubrics

       Application Activities

       Activity 5.4: Rating Students’ Linking and Students’ Providing

       Summary

       CHAPTER 6

       The IQA Toolkit as a Tool to Assess and Improve Instructional Practice

       Introductory Activities

       Activity 6.1: Rating a Small-Group Lesson

       Activity 6.2: Rating a Whole-Class Lesson

       The IQA Rubrics as Tools to Reflect on and Improve Instruction

       Application Activities

       Activity 6.3: Considering the Teacher’s Reflection and Next Steps

       Activity 6.4: Revisiting the Chapter 5 Transition Activity—Using All IQA Rubrics

       Summary

       EPILOGUE

       Next Steps

       APPENDIX A

       The IQA Toolkit

       IQA Potential of the Task Rubric

       IQA Implementation of the Task Rubric

       IQA Teacher’s Questions Rubric

       IQA Teacher’s Linking Rubric

       IQA Teacher’s Press Rubric

       IQA Students’ Linking Rubric

       IQA Students’ Providing Rubric

       IQA Implementation Observation Tool

       Framework for Different Types of Questions

       APPENDIX B

       Suggested Answers for Activity 1.4

       APPENDIX C

       Suggested Answers for Activity 3.2

       APPENDIX D

       Additional Support for Rating Tasks

       Level 1

       Level 2

       Level 3

       Level 4

       APPENDIX E

       List of Figures and Videos

       References and Resources

       Index

       About the Authors

      Melissa D. Boston, EdD, is a professor of mathematics education at Duquesne University. She teaches mathematics methods courses for elementary, middle, and high school teachers, and previously taught similar courses at Slippery Rock University and the University of Pittsburgh. Earlier, she taught middle school and high school mathematics. Dr. Boston provides professional development and conducts research across the United States. She has obtained and directed grants for professional development projects from the Heinz Foundation, National Science Foundation, and Spencer Foundation, and she has served as external evaluator for three Mathematics–Science Partnership grants. In her research, Dr. Boston examines mathematics teaching and learning through classroom observations and collections of students’ work using the Instructional Quality Assessment (IQA) in Mathematics Toolkit, for which she is lead developer.

      Dr. Boston is a member of the National Council of Teachers of Mathematics (NCTM), Association of Mathematics Teacher Educators (AMTE), and Pennsylvania Association of Mathematics Teacher Educators (PAMTE). She has served on NCTM’s Student Explorations in Mathematics committee, СКАЧАТЬ