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Appendix
D. English Version of the Teacher Questionnaire
Videotape Classroom Study Teacher Questionnaire
Your Name: Date: School's Name: Name of Course:
1. Please describe the subject matter content of today's lesson. (Check as many as apply) 1. Whole numbers 2. Common and Decimal Fractions 3. Percentages 4. Number Sets and Concepts 5. Number Theory 6. Estimation and Number Sense 7. Measurement Units and Processes 8. Estimation and Error of Measurement 9. Perimeter, Area, and Volume 10. Basics of One and Two Dimensional Geometry 11. Geometric Congruence and Similarity 12. Geometric Transformations and Symmetry 13. Constructions and Three Dimensional Geometry 14. Ratio and Proportion 15. Proportionality: Slope, trigonometry and interpolation 16. Functions, Relations, and Patterns 17. Equations, Inequalities, and Formulas 18. Statistics and Data 19. Probability and Uncertainty 20. Sets and Logic 21. Problem Solving Strategies 22. Other Mathematics Content 2. For this class of students, was the content of today's lesson review, new, or somewhere in between? all review mostly review half review/half new mostly new all new 3. What was the main thing you wanted students to learn from today's lesson?
4. Why do you think it is important for students to learn this?
5. What was the main thing you wanted these students to learn from the previous lesson you taught them?
6. Please briefly describe that lesson.
7. What will be the main thing you want these students to learn from the next lesson you teach them?
8. Please describe what you intend to teach for that lesson.
9a. Was today's lesson planned as part of a sequence of related lessons (e.g., a unit), or was it a stand-alone lesson? stand-alone lesson (skip to 10) part of a sequence (go to 9b) 9b. What is the main thing you want students to learn from the whole sequence of lessons?
9c. How many lessons are in the entire sequence?
9d. Where did today's lesson fall in the sequence (e.g., number 3 out of 5)? __________ 10. How is the topic of this lesson related to other topics in the mathematics curriculum?
11a. Did you previously assign mathematics homework that was due for today? no (skip to 12) yes (go to 11b) 11b. Please describe the content of this homework.
11c. How long would it have taken the typical student to complete this homework? _______________ minutes. 12. Was this class formed on the basis of students' mathematics ability? (Choose one): Yes, this is a low ability class Yes, this is an average ability class Yes, this is a high ability class No, this is a mixed ability class 13a. During today's lesson, were all students given the same work to do, or was different work given to different students? same work for all students (skip to 14a) different work for different students (go to 13b) 13b. How was the work tailored for different students?
14a. Did you divide your class into groups for any part of today's lesson? no (skip to 15) yes (go to 14b) 14b. Were the groups formed to be relatively homogeneous or heterogeneous with respect to ability and/or mathematical proficiency? homogeneous heterogeneous
15. The teaching methods I used for today's lesson were: very similar to the way I always teach similar to the way I always teach somewhat different from the way I always teach very different from the way I always teach 16. What, if anything, was different from how you normally teach?
17. How would you describe your students' behavior during today's lesson? very similar to their usual behavior similar to their usual behavior somewhat different from usual very different from usual 18. What, if anything, was different about the nature and amount of your students' participation during today's lesson?
19. How would you describe the tools and materials (e.g., worksheets, manipulatives, models, pictures, calculators) used during today's lesson compared to those you normally use? very typical mostly typical not typical completely atypical 20. What, if anything, was not typical about the tools and materials used during today's lesson?
21. How would you describe today's lesson as a whole? Was it typical/representative of the lessons you normally teach? very typical mostly typical not typical completely atypical 22. How nervous or tense did you feel about being videotaped? very nervous somewhat nervous not very nervous not at all nervous 23. Do you think that having the camera present caused you to teach a lesson that was better than usual, worse than usual, or about the same as usual? better than usual same as usual worse than usual 24a. Was there anything about today's lesson that did not go according to plan or that you would have wanted to be different? no (skip to 25) yes (go to 24b) 24b. Please describe what did not go according to plan.
25. How aware do you feel you are of current ideas about the teaching and learning of mathematics? very aware somewhat aware not very aware not at all aware 26. How do you usually hear about current ideas about the teaching and learning of mathematics?
27. What written materials (e.g., reform documents, publications, books, articles) are you aware of that describe current ideas about the teaching and learning of mathematics? Please list up to three, and indicate whether or not you personally have read each one. I have read: all of it most of it some of it none of it I have read: all of it most of it some of it none of it I have read: all of it most of it some of it none of it 28a. To what extent do you feel that the lesson that you taught today is in accord with current ideas about the teaching and learning of mathematics? not at all (skip to end) a little (go to 28b) a fair amount (go to 28b) a lot (go to 28b) 28b. Please describe one part of today's lesson that you feel exemplifies current ideas about the teaching and learning of mathematics and explain why you think it exemplifies these ideas.
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