
The Development of Teaching Expertise from an International Perspective
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Content
- Intro
- The Development of Teaching Expertise From an International Perspective
- A Volume in The Montana Mathematics Enthusiast: Monograph Series in Mathematics Education
- Series Editor: Bharath Sriraman, The University of Montana
- CONTENTS
- 1. Introduction 1
- 2. Review of the Literature 13
- 3. Methodology 45
- 4. Findings 65
- 5. Conclusion, Disscussion, Implications, Recommendation 109
- The Development of Teaching Expertise From an International Perspective
- by
- Su Liang
- California State University, San Bernadino
- Information Age Publishing, Inc.
- Charlotte, North Carolina www.infoagepub.com
- CHAPTER 1
- Introduction
- Cultural Variations
- Curriculum
- Mathematics Teachers' Content Knowledge
- Statement of the Problem
- Background of the Research
- Research Questions
- 1. How are grades 7-12 mathematics teachers from Shandong Province of China prepared to teach?
- 2. What are the characteristics of award winning grades 7-12 mathematics teachers from the Shandong province in China?
- Significance of the Study
- Definitions
- Preservice Training
- In-Service Training
- Teaching Research Activities
- Open Class
- Teaching Competition
- Collective Lesson Plan Preparation
- One-On-one Mentoring
- Teacher Collaboration
- Table 1.1. The Curriculum Structure and Credit Distribution for Preservice Training
- CHAPTER 2
- Review of the Literature
- Teaching as a Profession
- Learning Theories and Mathematics Instruction
- Figure 2. 1. The Elephant and the Blind Men
- Knowledge Base for Teaching
- Teacher Education in the United States
- Teacher Education in China
- Chapter Summary
- Table 2.1. A Model of Pedagogical Reasoning and Action
- Table 2.2. Time Allocation by Type of Knowledge in Degree-Level Teacher Education Curriculum (Chinese Language and Literature Specialism*), 1950s-1980s (in %)
- CHAPTER 3
- Methodology
- Design of the Study
- Sample Selection
- Province Sampling
- Teacher Sampling
- 1. The participant must be a mathematics teacher teaching middle school to high school level mathematics.
- 2. He/she has been awarded recognition for his/her achievements in teaching mathematics as noted by the different levels: school, district, city, province, or nation.
- 3. His/her students have achieved high average scores in college entrance exams or in high school entrance exams among the classes at the same grade level.
- Data Collection Methods
- Interviews
- Documents
- Data Analysis
- Prelude of the Analysis
- Coding
- Displaying the Data
- Making Conclusions/Verification
- Validity and Reliability
- Subjectivity Statement
- Chapter Summary
- Figure 3. 2. Display 1 of Teaching Research.
- Figure 3. 1. An example of line-by-line coding.
- Figure 3. 3. Display 2 of Teaching Research.
- CHAPTER 4
- FINDINGS
- 1. How are grades 7-12 mathematics teachers from the Shandong Province of China prepared to teach?
- 2. What are the characteristics of award winning grades 7-12 mathematics teachers from the Shandong province in China?
- Participants
- 1. The participants must be mathematics teachers teaching middle school to high school level mathematics.
- 2. His/her students must have achieved high average scores in college entrance exams or in high school entrance exams in the classes at the same grade level.
- 3. He/she must have been awarded recognition for his/her achievements in teaching mathematics as noted by the different levels: school, district, city, province, or nation.
- Yun
- Hui
- Long
- 1. Kaokao Saisai (????), opposite signs (? ??).
- 2. A stool leg.
- Yong
- Gang
- Xi
- Hua
- Yan
- Di
- Cheng
- Findings
- Research Question 1
- Formal Learning
- Preservice Training
- In-Service Training
- One-On-One Mentoring
- Open Class
- Teaching Competition Classes
- New Teacher' Evaluative Class
- Open Class Presented by Every Teacher
- Model Class
- Teaching Research
- Collective Lesson Preparation
- Teaching-Research Project
- Seminars
- Professional Training
- Teaching-Technology Training
- Curriculum Training
- Education Theories and Ideas
- Informal Learning
- Research Question 2
- Passionate about Mathematics and Share their passion through Teaching
- Actively Take Part in Teaching Research
- Application of Teaching Research in the Classroom
- Collaboration With Peers
- Systematic Lesson Preparation
- Apply Technology to Teaching
- Take an Active Role in Teaching Research in Order to Expand Their Professional Opportunities
- Chapter Summary
- Table 4.1. Participant Information
- Figure 4. 1. Outline of the findings for research question 1.
- Figure 4. 2. Graph for solving the area of a circle.
- Figure 4. 3. Outline of the findings for the research question 2.
- CHAPTER 5
- Conclusions, Disscussion, Implications, Recommendations
- Conclusions and Discussion
- Conclusion 1: Preservice Training, In-Service Training, and Self-Directed Learning Prepared the Teachers for Teaching
- Preservice Training
- In-Service Training
- Self-Directed Learning
- Conclusion 2: The Award-Winning Teachers' Common Characteristics Are That They All Share a Passion for Mathematics and Conduct Teaching research Activities
- Implications for Practice
- Providing Profound Mathematics Training in Preservice Training
- Developing an Effective System of In-Service Training
- Establishing a Supportive Atmosphere for Teachers
- Promoting Teacher Collaboration
- Encouraging Teachers to Conduct Teaching Research
- Recommendation for Future Research
- Chapter Summary
- Acknowledgments
- Figure 5. 1. Model of grades 7-12 mathematics teacher preparation in Shandong, China
- Appendixes
- Appendix A: Interview Protocol
- Personal Information (?? ?)
- 1. Which university/college(s) did you graduate from?
- 2. Which degree did you earn at each college or university?
- 3. What is your rank as high-school teacher? What other ranks exist in your school system?
- 4. What is the name of the school district you teach in?
- 5. What is the name of the school you teach in?
- 6. Which grade(s) do you teach? Which math subjects do you teach?
- 7. How have your students performed in college entrance exam or high school entrance exam? Are there any other exams for which your class has been ranked? Please answer in details.
- 8. What is your work load? Please include the number of courses you teach (with the number of meeting times), and your other duties.
- 9. Please describe the mathematics curriculum that you use in your school.
- 10. Have you received any awards? If so, please describe.
- College Preparation (???? )
- 11. Please describe the pedagogical training you received in your teacher preparation program in College.
- 12. Please describe the mathematics courses you took in college.
- 13. Please describe how you believe mathematical knowledge affects your teaching?
- Classroom Practices and Philosophy
- 14. Do you have a philosophy of teaching? If so, please describe it.
- 15. Do you incorporate a particular learning theory in your teaching? If so, describe the theory.
- 16. What forms of assessment and grading do you use in your class, and for what purpose?
- 17. Do you use technology in your teaching? If so, in what way and for which course. Please be specific. If not, why?
- In-Service Training ( ?? )
- 18. Could you please describe in detail the kinds of in-service training offered at your school and your district?
- 19. How are teaching-research activities conducted at your school?
- 20. Have you participated in any teaching-research activities? In what capacity, as a leader or participant? Please explain.
- 21. What motivates you to participate in teaching-research activities?
- 22. Have you involved your students in teaching-research activities? How?
- 23. Have you published the results? In what journals?
- 24. How do teaching-research activities affect your teaching? Describe one such project or activity that was most beneficial to your teaching.
- 25. How does your school mentor new teachers?
- 26. Have you personally been involved in mentoring new teachers? If so, in what way?
- 27. How does the mentoring affect new teachers' teaching?
- 28. Please describe how classroom observations are conducted for new teacher?
- 29. How long are new teachers' classes observed (first year only, or more)?
- 30. How often are new teachers classes observed? By whom?
- 31. Do you believe that classroom observations affect the teaching performance of new teachers? If so, in what way?
- 32. Please describe how you prepare the lessons that you teach.
- 33. Does your lesson preparation affect your teaching? If so, in what way?
- 34. Please describe an example of an "open class."
- 35. How many have you attended or given?
- 36. Do you believe the open class has affected your teaching? If so, in what way?
- 37. Please describe a teaching seminar at your school.
- 38. Do you believe that attending teaching seminars has affected your teaching? If so, in what way?
- 39. Please describe a teaching competition.
- 40. How many times have you attended teaching competitions? How many times did you win?
- 41. Have you been a judge of a teaching competition? If so, please describe the criteria you used for choosing the winners.
- 42. Do you believe teaching competitions affect your teaching? If so, in what ways?
- 43. Did you participate in professional development training? Please describe.
- 44. How does the professional training you receive affect your teaching?
- 45. Have you ever attended any teaching improvement programs? Please describe them.
- 46. How did these programs affect your teaching?
- Concluding Questions
- 47. Do you enjoy teaching mathematics? Why? Why not?
- 48. In your opinion, what are the attributes of an effective high school mathematics teacher? Please comment in details.
- 49. Do you think you are an effective mathematics teacher? Why? Why not?
- APPENDIX B: Pilot Study
- Participants
- Data Collection
- Pilot Study-Interview Questions (for professors)
- 1. What is your opinion about the system of secondary math teacher preparation in China?
- 2. Do you think that the system is adequate for preparing students to be a qualified high school math teacher? Please give your reasons for your answers.
- 3. On a given 1-5 scale: poor, satisfactory, good, very good, and excellent, how do you rate the system?
- 4. What are the must-do-things for preparing a high school math teacher?
- 5. Do you think that your graduates are prepared with a strong math background for teaching? Please give reasons for your answer.
- 6. How do you think your students learn math in your class?
- 7. Do you think that they are equipped with enough pedagogical knowledge? Please give reasons for your answer
- 8. In your opinion what should be emphasized when preparing your students for their teaching career, math or teaching skills? Why?
- 9. Do you know what expectations high schools have for their math teachers?
- 10. In your opinion what characteristics and skills should a good high school math teacher have? Why?
- 11. Do you often have a chance to talk to high school math teachers and discuss some issues about teaching math at high school? If yes, do you use the information discussed to improve your training program?
- 12. In your opinion, what factors contribute to relatively high and low performance in high school level math?
- 13. What role does the technology (graphic calculator, computer) play in teaching and learning math at your university?
- 14. Do you read any math education journals?
- Pilot Study-Interview Questions (for current high school teachers)
- 1. What is your opinion about the system of secondary math teacher preparation in China?
- 2. Do you think that the system is adequate for preparing students to be a qualified high school math teacher? Please give your reasons for your answers.
- 3. On a given 1-5 scale: poor, satisfactory, good, very good, and excellent, how do you rate the system?
- 4. What are the must-do-things for preparing a high school math teacher?
- 5. Do you think that your graduates are prepared with a strong math background for teaching? Please give reasons for your answer.
- 6. How do you think your students learn math in your class?
- 7. Do you think that they are equipped with enough pedagogical knowledge? Please give reasons for your answer
- 8. In your opinion what should be emphasized when preparing your students for their teaching career, math or teaching skills? Why?
- 9. Do you know what expectations high schools have for their math teachers?
- 10. In your opinion what characteristics and skills should a good high school math teacher have? Why?
- 11. Do you often have a chance to talk to high school math teachers and discuss some issues about teaching math at high school? If yes, do you use the information discussed to improve your training program?
- 12. In your opinion, what factors contribute to relatively high and low performance in high school level math?
- 13. What role does the technology (graphic calculator, computer) play in teaching and learning math at your university?
- 14. Do you read any math education journals?
- Pilot Study-Interview Questions (for current high school teachers)
- 1. Why did you choose to teach math in high school?
- 2. In your opinion, what characteristics and skills should a good high school math teacher have? Why?
- 3. Do you think your college prepared you for teaching when you started to teach? Explain.
- 4. What is the most challenging part for teaching high school math?
- 5. In your opinion, what factors contribute to relatively high and low performance in high school level math?
- 6. Are you confident about your math background for teaching high school math?
- 7. Do you think you learned enough pedagogical knowledge to teach when you started teaching?
- 8. How do you think your students learn math in your class?
- 9. Do you often have a chance to talk to college professors and discuss issues about high school teaching?
- 10. What are your principal's expectations for a math teacher at your school?
- 11. Do you have a chance to participate any professional training after your practicing teaching?
- 12. Do you think your school is supportive to new math teachers?
- 13. What is your opinion about teachers' collaboration?
- 14. What role does technology (graphic calculator, computer) play in teaching and learning math at your school?
- Pilot Study-Interview Questions (for preservice teacher)
- 1. Why do you choose to teach math in high school?
- 2. In your opinion, what prepares education students to be good math teachers?
- 3. How do you think your college gets you prepared for teaching? Explain.
- 4. What are the most important things for a pre-service teacher to learn?
- 5. What is the most challenging part for teaching high school math?
- 6. In your opinion, what factors contribute to relatively high and low performance in high school level math?
- 7. Do you think your mathematics background is strong enough for you to teach high school?
- 8. Do you think you have learned enough pedagogical knowledge to teach?
- 9. Do you know how to assess your students while teaching?
- 10. What did you learn from student teaching? What are the good things you experienced? What are the things you do not like?
- 11. How do you think your students learned math in your class while you conducted student teaching?
- 12. Do you think that you are ready to teach?
- Data Analysis
- Example of Coding
- Two Examples of Data Display
- 1. Pie chart for college preparation based on the curriculum of China East Normal University.
- Brief Summary of Findings
- Appendix C
- A Sample of Comparison Matrix
- A Sample of Comparison Matrix (Continued)
- Appendixes Continue on Next page
- APPENDIX D: An Example of Teaching Competition Rubric and its Translation
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- Appendix E: The Curriculum of China East Normal University
- Mathematics and Applied Mathematics
- (Appendix E continues on next page)
- 1. Teacher Education: Professional English (2 credits), Modern Mathematic s and High School Mathematics (2 credits), Mathematics Testing and Assessment (2 credits), Mathematics History (2 credits), Problem Solving and Competition Mathematics (2 credi...
- 2. Basic Mathematics: Fluid Calculus (2 credits), Classical Geometry (2 credits), Whole Differential Geometry (2 credits), Advanced Algebra (2 credits), Number Theory (3 credits), Sets Theory (3 credits), Elementary Algebra and Geometry (3 credits), ...
- Information and Computation Science
- (Appendix D continues on next page)
- (Appendix E continues on next page)
- (Appendix E continues on next page)
- References
- About The Authors
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