# Becoming a Reflective Mathematics Teacher

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Becoming a Reflective Mathematics Teacher book

# Becoming a Reflective Mathematics Teacher

DOI link for Becoming a Reflective Mathematics Teacher

Becoming a Reflective Mathematics Teacher book

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Ideal for preservice mathematics teachers who are taking methods courses or are student teaching, this research-based, activity-oriented guide offers a highly effective framework for teacher reflection and self-assessment. Highlighting inquiry-based, learner-centered teaching and grounded in a cognitive perspective, *Becoming a Reflective Teacher of Mathematics, Third Edition* features:

- Detailed observation instruments for observing other teachers
- Reflective activities that provide a structure for beginning teachers to think about their teaching
- Guidelines and instruments for supervisors to use when observing, conferencing with, and assessing beginning or student teachers

The Third Edition of *Becoming a Reflective Teacher of Mathematics *is aligned with the latest standards for teaching mathematics including the Common Core State Standards-Mathematics, and the latest assessments for mathematics teacher certification which place a high priority on reflective practice. Thoroughly revised and updated throughout, the Third Edition continues to provide preservice and in-service mathematics teachers with practical ideas for developing and honing reflective and self-analytical skills needed to advance and improve instruction.

Contents. Preface to the Third Edition. A Note to Professors. PART 1: PHILOSOPHICAL BASIS FOR THE MODEL. 1. Toward an Understanding of Student-Centered Teaching. 2. A Framework for the Examination of Instructional Practice. 3. A Framework for the Examination of Teacher Cognitions. 4. Putting it All Together. PART II: HOW TO USE THE MODEL. 5. Using the Model to Examine Teachers’ Instructional Practice and Cognitions. 6. Using the Model to Examine Your Own Instructional Practice and Cognitions. 7. Using a Portfolio to Document How You Engage in Self-Assessment and Reflection. PART III: EVIDENCE---THE MODEL IN ACTION. 8. Case Studies of the Model in Action: Five Cases.APPENDIX A. Research Results of Exploratory Study. Appenidx A.1: Summary of Patterns of Lesson Dimensions. Appendix A.2: Summary of Patterns of Cognitions. APPENDIX B. Observation Guidelines. Appendix B.1: Observation 1 --- Nature of the Content. Appendix B.2: Observation 2 --- Questioning. Appendix B.3: Observation 3 --- Motivation and Teaching Strategies. Appendix B.4: Observation 4 --- Homework. Appendix B.5: Observation 5 --- Use of Class Time. Appendix B.6: Observation 6 --- Verbal Behavior of Students. Appendix B.7: Observation 7--- Task Orientation of Students. Appendix B.8: Observation 8 --- Assessment. Appendix B.9: Observation 9 ---Teacher Expectations and Stereotyping. Appendix B.10: Observation 10 --- Culminating Activity. Appendix B.11: Rubric for Grading the Observation Reports. APPENDIX C. Observation Charts Made by Pre-service Teachers. Appendix C.1: Nadine’s Teacher-Student Discourse Bar Graph. Appendix C.2: Lisette’s Teacher Use of Class Time Chart. Appendix C.3: Marla’s Verbal Interaction Chart. Appendix C.4: Karen’s Line Graph of On-task Behaviors. Appendix C.4: Jill’s Chart of On-task behaviors. Appendix C.5: Jill’s Line Graph of On-task Behaviors. APPENDIX D. Guides and Forms for Supervised Observations. Appendix D.1: Guides for Observation Written Reports and Conferences. Appendix D.2: Written Observation Report Before the Lesson. Appendix D.3: Written Observation Report After the Lesson. Appendix D.4: Self-Assessment of Instructional Practice. Appendix D.5: Summary Self-Assessment Form. Appendix D.6: Evaluation of Teacher Cognitions. Appendix D.7: Videotaped Lesson --- Final Conference. APPENDIX E. Portfolio Assignment and Rubrics. Appendix E.1: Portfolio Guidelines. Appendix E.2: Three Sample Lesson Plans. Appendix E.3: Assessment--- One Quiz or One Unit Exam. Appendix E.4: One Wee of Homework and a Project. Appendix E 5: Peer Observation Report. Appendix E.6: Unit Plan. Appendix E.7: Portfolio Check Sheet. References. Author Index. Subject Index.