UMass Math Teaching Seminar

"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.

MAA webpage on mathematical communication here, including a list of resources for giving effective math talks 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.

Fields Medallist William Thurston on Mathematical education. arXiv.

Focus, the newsmagazine of the MAA, includes articles on mathematics education.


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.

Spring 2018 Schedule

Monday 1/22. Introduction to the seminar. Characteristics of students who take math courses in the 100s. Mike Hayes.

Monday 1/29 Planning a class or lecture. Eyal Markman and Jenia Tevelev.

Monday 2/5. How to get students involved during a class. Mario DeFranco and Patrick Dragon.

Monday 2/12. Logistics of running a class. Brian Burrell and Erica Farelli.

Monday 3/5. Writing and grading quiz/test/HW questions. Paul Hacking and Dan Nichols.

Monday 3/19. Observing faculty. Joanna Jeneralczk and Hans Johnston

Monday 3/26. Integration by partial fractions, Daniel Gallagher; Integration by substitution, Andreas Hayash.

Monday 4/2. Computing volumes of solids of revolution, Cristian Rodriguez; The intermediate value theorem, Max Hully.

Monday 4/9. Integration by parts, Connor Kennedy; Improper integrals, Rylan Gajek-Leonard.

Monday 4/16. Taylor and Maclaurin series, John Kaushagen; The comparison test, Konstantinos Pantazis.

Tuesday 4/23. Using technology in the classroom. Aaron Gerding and Mike Hayes.

Spring 2017 Schedule

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

Fall 2015 Schedule

Friday 11/6. Paul Hacking. Teaching problem solving. 1:30PM, LGRT 1634. Worksheet. Solutions.

Friday 11/13. Maria Correia and Mike Hayes. How to use group work in lectures and discussion sections. 1:30PM, LGRT 1634. Worksheet.

Wednesday 11/18. Sarah-Marie Belcastro and Erica Farelli. Active learning and the mechanics of small group work. 2:30PM, LGRT 1634.

Friday 12/4. Merrick Brown and Jason McGibbon. Using quizzes and worksheets in lecture and recitation. 1:30PM, LGRT 1634.

Wednesday 12/9. Daeyoung Kim and Jenia Tevelev. You say potato, I hear tomato. 2:30PM, LGRT 1634. Handout.

This page is maintained by Paul Hacking