Reflect on the role, purpose, nature, etc. of technology in the secondary mathematics classroom.
1. List 5 adjectives that you associate with mathematics. Then, one at a time, describe in a couple of sentences what is gained or lost in mathematics by having eliminated the missing adjective.
2. Consider the following people:
- A college mathematics professor
- A college mathematics education professor
- A close friend who is not good at mathematics
- The most intellingent person that you know personally
For each person, select the adjectives in your list (1) that you think that person might use to describe mathematics.
3. Consider your best high school mathematics teacher, your worst high school mathematics teacher, and an "average" high school student. From your list in (1), select adjectives you think each would choose and give reasons why an adjective would be chosen or not chosen.
Use reflective problem #6 in Chapter One of the Cooney text as a prompt
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Reflect on the article by Richard Skemp on Instrumental and Relational Understanding. Briefly describe how you learned mathematics (instrumentally and/or relationally). Comment on the nature of your understanding that is developing in this course.
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Dynagraphs were very probably a new way of representing and playing with functions for you. In what ways did they enhance your own concepts and ideas about functions? Would you use these dynamic representations with your students? Why or why not?
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Reflect on your investigations with SimCalc's MathWorlds. Would you use this technology with your students? If so, why? If not, why not?
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Reflect on your use of the GSP sketches for exploring Integration. In what ways did the exploration help (or hinder) your understanding of these fundamental ideas of calculus?
Imagine that you will be teaching EMAT 3500 next year. What would your course look like? How would it be similar to and different from the EMAT 3500 experience you just had? What things would you emphasize/de-emphasize? include/not include? This is your chance to vent, offer suggestions, point out assignments or readings that were helpful to you, say something nice, etc... Your feedback is very valuable to me and to this department!!