Sample schedule for Michigan's intensive, week-long teaching institute for graduate teaching assistants and postdocs who are new instructors in the calculus sequence.
This article points out the importance of ensuring that GTA's can provide high quality explanations for foundational mathematical ideas. It provides evidence that even mathematically sophisticated GTA's often provide low-level explanations of the idea of average rate of change. It explains the intervention that resulted in the GTA's giving much more meaningful explanations of average rate of change.
This is a paper discussing students' understanding of the notation associated with the log function. It is a paper I share with students who teach a pre-calculus class.
This is a paper that I share with students who are teaching pre-calculus. It includes a study of how students visualize problems.
The Journal of Mathematical Behavior
Volume 31, Issue 1, March 2012, Pages 48–59
Students’ images of problem contexts when solving applied problems
Kevin C. Moorea, , , Marilyn P. Carlsonb,
This is a paper I share with grad students teaching pre-calculus. It is a case study of one students understanding of angle measurement.
Journal for Research in Mathematics Education
January 2014, Vol. 45, Issue 1
This is a paper I share with grad student teaching a pre-calculus class. The focus is on student understanding of exponential functions.
Quantifying exponential growth: Three conceptual shifts in coordinating multiplicative and additive growth
Amy B. Ellisa, , , Zekiye Özgüra, Torrey Kulowa, Caroline C. Williamsa, Joel Amidonb
This is a paper that I share with grad students teaching pre-calculus. The focus is on how students understand exponential and logarithmic functions.
AUTHOR Weber, Keith
TITLE Developing Students' Understanding of Exponents and Logarithms.
PUB DATE 2002-00-00
This is a paper that I share with grad students teaching pre-calculus. The focus of the paper is student understanding of functions.
The role of covariational reasoning in understanding and using the function concept
CHAPTER · JANUARY 2015
In book: Lessons learned from research: Useful and useable research related to core mathematical practices (Vol. 1), Publisher: National Council of Teachers of Mathematics, Editors: E. A. Silver, P. A. Kenney, pp.279-291