Math 148 Teaching Practicum
Texts
- Robin Pemantle, Creating Your Own Teaching Community,
Notices of the AMS 67 (2020), no. 9, 1354-1356, link
- Colin Adams, Why do we teach?, Notices of the AMS 66
(2019), no. 7, 1045-1047, link
-
Bianca Viray and John Voight, The Value of Mathematical
Storytelling: Our Perspective
on Giving Talks, Notices of the AMS 70 (2023), no. 6,
928-931,
link
- Ravi Vakil, The "Three Things" Exercise for getting things out
of talks,
website
- Steven Krantz, How to Teach Mathematics, Third Edition,
AMS 2015 (available on Canvas)
Weekly Schedule
Updated April 27, 2025.
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Week
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Date
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Topics
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Reading
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Work
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1
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Mon 31 Mar
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Introduction. Good/bad learning experiences. Affective vs. cognitive
aspects of learning. Course planning. Setting learning goals.
Why teach?
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Teaching
Community
Why
teach?
Storytelling
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"Teaching goals" short essay.
Course creation: brainstorm topics.
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Fri 04 Apr
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Lecture schedule. Learn from lectures. Features of good lectures. Why lecture?
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Three
Things
Krantz, Preface, 1.1-1.5
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2
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Mon 07 Apr
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Web/Canvas course page design. Syllabus design. Problem set design.
Learning outcomes. Why mathematics?
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Krantz, 2.11
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Complete course syllabus and webiste.
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Fri 11 Apr
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Course fine-tuning and workshopping.
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3
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Mon 14 Apr
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Lecture 1 (Ben S). Post-lecture discussion: first day introductions,
lecture section titles, sufficient pausing after asking the class a
question, pausing lecture to answer a student question, vagueness
tolerance, writing
distinct symbols on the chalkboard, be prepared for "depth" questions.
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Upload original lecture notes to Canvas.
Upload revised lecture notes to Canvas.
Problem Set 1
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Fri 18 Apr
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Lecture 2 (Will). Post-lecture discussion: friendly daily
introductions, answering questions with a smile, differentiating
common math letters on board, pulling back student question answer
to the whole class, sprinkle some fun reach/connections into the
material, highlighting "vague idea" material, consistent notation,
coordinating speaking with writing, mentioning relevance of earlier
questions and lecture material, careful of long proof sketches.
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4
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Mon 21 Apr
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Lecture 3 (Michaela). Post-lecture discussion: delineating the end of
a proof, anticipating and structuring in opportunities for expanding
outward, layout of algorithm statements and completeness proofs,
making sure examples don't contain unnecessary accidents, knowing
1/3 of what you are presenting on, should the formal statement
come before or after the illuminating example, knowing where your
audience might appreciate a generalization or outward expansion,
looking at all students in the room, rounding out the end of a lecture.
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Upload original lecture notes to Canvas.
Upload revised lecture notes to Canvas.
Problem Set 2
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Fri 25 Apr
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Lecture 4 (Ben Sh). Post-lecture discussion.
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5
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Mon 28 Apr
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Lecture 5 (Ben Sh). Post-lecture discussion.
|
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Upload original lecture notes to Canvas.
Upload revised lecture notes to Canvas.
Problem Set 3
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Fri 02 May
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Lecture 6 (Michaela). Post-lecture discussion.
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6
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Mon 05 May
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Lecture 7 (Ben Sh). Post-lecture discussion.
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Upload original lecture notes to Canvas.
Upload revised lecture notes to Canvas.
Problem Set 4
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Fri 09 May
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Lecture 8 (Will). Post-lecture discussion.
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7
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Mon 12 May
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Lecture 9 (Will). Post-lecture discussion.
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Problem Set 5
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Fri 16 May
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Lecture 10 (Michaela). Post-lecture discussion.
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8
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Mon 19 May
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Lecture 11 (Ben S). Post-lecture discussion.
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Fri 23 May
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Lecture 12 (Ben S). Post-lecture discussion.
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9
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Mon 26 May
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No class: Memorial Day!
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Fri 30 May
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Extra fun lecture!
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10
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Mon 02 Jun
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Wrap-up. Final reflections.
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