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Reflections, Lesson Plans, and other Artifacts

The student needs to develop an understanding, however partial and imperfect, by descriptions rather than definitions, by typical examples rather than grandiose theorems ...
... An axiomatic presentation of a mathematical fact differs from the fact that is being presented as medicine differs from food. It is true that this particular medicine is necessary to keep mathematicians from self-delusions of the mind. Nonetheless, understanding mathematics means being able to forget the medicine and enjoy the food.
-- Gian-Carlo Rota

Reflections

Early-career checklist

Adaptations for the COVID era

Educating the whole person

Syllabus Excerpts and Supplemental Readings (by Course)

Precalculus

Course outcomes

Thoughts on standards-based grading

Calculus II

Course outcomes and grading scheme

(PDF) Subtangents and Mamikon's method

(PDF) Applications of formal power series

Finite Mathematics

Course outcomes and grading scheme

(PDF) Linear systems and Borda count elections

(PDF) Refinancing a loan

(PDF) Intergenerational trends in religiosity

(PDF) Combinatorics and partitions of 24

(PDF) Vacation planning in The Marriage Plot

Statistics

Course outcomes

(PDF) Intro to hypothesis testing

(PDF) Connecting confidence intervals and hypothesis tests

(PDF) Motivating logistic regression using a study on playground renovations

Weather and Climate

Course outcomes

(PDF) Hour-by-hour comparison of two nearby ASOS stations

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