## Outline
Virtually everybody is capable of becoming a competent and skillful instructor, but virtually nobody would do well if made to teach a course without preparation or forethought about effective teaching practices. Structuring a course, preparing lectures, delivering information, responding to questions, assigning homework, dealing with problem students, and so on are all areas where a little consideration of certain guidelines can vastly improve a teacher's performance. Much of what comprises excellent teaching is quite different from individual to individual; most of what comprises bad teaching, on the other hand, is universal yet easily avoided with some experience.
- Attendance
- Participation in discussions and class activities
- Completion of teaching presentations
Students will give two presentations during the semester, one of length 15 minutes and one of length 40 minutes. The first, short presentation will be to critique the students' mechanics and classroom presence, while the long presentations will be to critique their organization of material into a beneficial lecture. Students will teach typical topics from first-year calculus as if the audience were actually a first-year calculus class, after which they will receive feedback from the rest of the class and the instructor. The schedule for the semester is as follows: - I.
**Preparation for short presentations** - Wednesday, September 3: Overview of course
- Friday, September 5: Description and scheduling of short presentations
- Monday, September 8: Example lecture and discussion
- Wednesday, September 10: Blackboard technique
- II.
**Short presentations** - III.
**Preparation for long presentations** - Friday, October 3 (second half of class): Scheduling of long presentations
- Monday, October 6: Lecture design and modularity
- Wednesday, October 8: In-class group activity, practice lecture design
- Friday, October 10: Asking and receiving student questions and feedback, classroom psychology
- Wednesday, October 15: Feedback and discussion of practice lectures
- IV.
**Long presentations**
## Short presentationsEach short presentation will last 15 minutes, either from 12:00-12:15 or 12:25-12:40 PM. Students should imagine that they are giving a full lecture on the indicated topic and then deliver a 15-minute-long portion (typically the first 15 minutes) of what the full lecture would be; in short, there should be no pressure on completely covering the given topic. Students should also think about where their topic would fall in a typical (non-honours) first-year calculus curriculum, although any reasonable assumptions in this vein are acceptable and need not be made explicit. The schedule for the short (15-minute) presentations will be: **Friday, September 12**- Mike: The Intermediate Value Theorem
- Ben: Integration by substitution
**Monday, September 15**- Andrew: Logarithms in calculus
- Steve: Trigonometric functions in calculus
**Wednesday, September 17**- Will: Seperable differential equations
- Scott: First Derivative Test for local extrema
**Friday, September 19**- Jerome: Continuity
- Ian: The area between curves
**Monday, September 22**- Daniel: Improper integrals
- Shane: The Chain Rule
**Wednesday, September 24**- Cindy: The Product Rule
- Erin: Asymptotes
**Friday, September 26**- Avishka: The slope of a graph
- Craig: The Fundamental Theorem of Calculus
**Monday, September 29**- Cam: The Quotient Rule
- Tyler: Second Derivative Test for local extrema
**Wednesday, October 1**- Owen: Integration by parts
- Felipe: Critical points
**Friday, October 3**- Hesam: The Mean Value Theorem
## Long presentationsThe schedule for the long (40-minute) presentations will be:**Friday, October 17**- Mike: l'Hôpital's Rule
**Monday, October 20**- Shane: Critical points
**Wednesday, October 22**- Scott: Finding all zeros of functions
**Friday, October 24**- Steve: Integration by substitution
**Monday, October 27**- Will: Continuity
**Wednesday, October 29**- Cam: The Fundamental Theorem of Calculus
**Friday, October 31**- Jerome: Improper integrals
**Monday, November 3**- Ian: One-variable optimization problems
**Wednesday, November 5**- Ben: The Mean Value Theorem
**Friday, November 7**- Daniel: Trigonometric functions in calculus (including inverse trig functions)
**Monday, November 10**- Cindy: Logarithms in calculus
**Wednesday, November 12**- Hesam: Second Derivative Test for local extrema
**Friday, November 14**- Avishka: First Derivative Test for local extrema
**Monday, November 17**- Erin: The slope of a graph
**Wednesday, November 19**- Owen: The Intermediate Value Theorem
**Friday, November 21**- Craig: Integration by parts
**Monday, November 24**- Tyler: Asymptotes
**Wednesday, November 26**- Andrew: The area between curves
**Friday, November 28**- Felipe: Separable differential equations
Each student can skip one day per week, according to the following schedule:
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