UMass Math Teaching Seminar
Spring 2017


Monday 3/20, 2:30-3:30PM, LGRT 171.
Rene Cabrera, "Trigonometric substitution".
Zhijie Dong, "Absolute convergence and ratio and root tests".
Faculty advisors: Adena Calden, Mike Hayes, and Joanna Jeneralczk.

Tuesday 3/28, 4:00-5:00PM, LGRT 202.
Filip Dul, "Improper integrals".
Yuan Yan, "Integration by parts".
Faculty advisors: Brian Burrell and Hans Johnston.

Monday 4/3, 2:30-3:30PM, LGRT 171.
Angelica Simonetti, "The tangent and velocity problems".
Sebastian Torres, "The derivative as a function".
Faculty advisors: Adena Calden and Mike Hayes.

Tuesday 4/11, 4:00-5:00PM, LGRT 204.
Lily Chou, "The substitution rule".
Faculty advisors: Erica Farelli and Jenia Tevelev.

Monday 4/24, 2:30-3:30PM, LGRT 171.
Lingchen Bu, "The fundamental theorem of calculus".
Ga Yee Park, "The precise definition of a limit".
Faculty advisors: Paul Hacking and Joanna Jeneralczk

"How to" documents

Preparing a lecture pdf.

Writing and grading an exam pdf.

Summer teaching pdf.

Breaking cultural and language barriers pdf.

Note: Some of these documents are refinements of the ones created by the organizers of the first teaching seminar in 2010.

Useful links

AMS blog on teaching math here.

MAA webpage on teaching math here.

Teaching resources for graduate students and postdocs at UMass here.

Midterm assessment process (an opportunity to get confidential feedback on your course from the UMass teaching institute) here.

Classroom teaching methods for active student work in class via advance reading, writing, and warmup exercises, as alternatives to lecture, by David Pengelley here.


Learning to Teach and Teaching to Learn Mathematics: Resources for Professional Development, by Matt Delong and Dale Winter, MAA Notes 57. ebook.

Building A Better Teacher, by E. Green, Norton 2014. (This book is about elementary/secondary eduction, but focuses on mathematics education, talks about some prominent math faculty, and is a quick and enlightening read.) googlebooks.

How to teach mathematics, by S. Krantz, AMS 1999. googlebooks.

How to solve it, by G. Polya, PUP 2014. googlebooks.

This page is maintained by Paul Hacking