Making Sense of Mathematics for Teaching to Inform Instructional Quality
Discover clear teaching strategies and rubrics for improving your instructional strategies for teaching mathematics at any grade level. Watch videos of effective math strategies in action and gain the tools to bring the TQE process into the classroom.
- Utilize tasks, questions, and evidence (the TQE process) and the associated IQA rubrics as a road map for increasing instructional quality.
- Become familiar with the connection between efficient use of tasks and teacher questioning with increased student success.
- Learn how to gauge student response to tasks and lessons in order to understand student mastery of the material.
- Enhance your understanding of math strategies through hands-on activities.
- Access free online reproducibles for use in teaching mathematics in the classroom.
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TABLE OF CONTENTS
PART 1: CONNECTING TO THE T IN TQE: TASKS AND TASK IMPLEMENTATION
Chapter 1: Potential of the Task
Chapter 2: Implementation of the Task
PART 2: CONNECTING TO THE Q IN TQE: QUESTIONS AND THEIR ROLE AS DISCOURSE ACTIONS
Chapter 3: Teacher’s Questions
Chapter 4: Teacher’s Linking and Teacher’s Press
PART 3: CONNECTING TO THE E IN TQE: EVIDENCE OF STUDENTS’ MATHEMATICAL WORK AND THINKING
Chapter 5: Students’ Linking and Students’ Providing
Chapter 6: The IQA Toolkit as a Tool to Assess and Improve Instructional Practice
Epilogue: Next Steps
Appendix A: The IQA Toolkit
Appendix B: Suggested Answers for Activity 1.4
Appendix C: Suggested Answers for Activity 3.2
Appendix D: Additional Support for Rating Tasks
Appendix E: List of Figures and Videos
- Figure 1.2: Benchmark Tasks Grid
- Figure 1.3: Benchmark Tasks Recording Sheet
- Figure 1.5: Tasks for Activity 1.3
- Figure 1.6: Tasks for Activity 1.4
- Figure 2.3: Benchmark Samples of Implementation
- Figure 2.8: Characteristics of Student Work When Cognitive Demand Is Maintained, Increased, or Decreased
- Figure 2.10: The Father and Son Race Task (Algebra)
- Framework for Different Types of Questions
- IQA Implementation of the Task Rubric
- IQA Implementation Observation Tool
- IQA Potential of the Task Rubric
- IQA Students’ Linking Rubric
- IQA Students’ Providing Rubric
- IQA Teacher’s Linking Rubric
- IQA Teacher’s Press Rubric
- IQA Teacher’s Questions Rubric
- Dixon, J. K., Brooks, L. A., & Carli, M. R. (2018). Making Sense of Mathematics for Teaching the Small Group. Bloomington, IN: Solution Tree Press.
- Dixon, J. K., Nolan, E. C., Adams, T. L., Brooks, L. A., & Howse, T. D. (2016). Making Sense of Mathematics for Teaching Grades K–2. Bloomington, IN: Solution Tree Press.
- Dixon, J. K., Nolan, E. C., Adams, T. L., Tobias, J. M., & Barmoha, G. (2016). Making Sense of Mathematics for Teaching Grades 3–5. Bloomington, IN: Solution Tree Press.
- Nolan, E. C., Dixon, J. K., Roy, G. J., & Andreasen, J. B. (2016). Making Sense of Mathematics for Teaching Grades 6–8. Bloomington, IN: Solution Tree Press.
- Nolan, E. C., Dixon, J. K., Safi, F., & Haciomeroglu, E. S. (2016). Making Sense of Mathematics for Teaching High School. Bloomington, IN: Solution Tree Press.