pre-calculus

Understanding and advancing graduate teaching assistants’ mathematical knowledge for teaching

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.

Students’ images of problem contexts when solving applied problems

This is a paper that I share with students who are teaching pre-calculus. It includes a study of how students visualize problems.

http://www.sciencedirect.com/science/article/pii/S0732312311000484

The Journal of Mathematical Behavior
Volume 31, Issue 1, March 2012, Pages 48–59

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Students’ images of problem contexts when solving applied problems

Kevin C. Moorea, , , Marilyn P. Carlsonb, 
doi:10.1016/j.jmathb.2011.09.001

Quantitative Reasoning and the Sine Function: The Case of Zac

This is a paper I share with grad students teaching pre-calculus. It is a case study of one students understanding of angle measurement.

http://www.nctm.org/Publications/journal-for-research-in-mathematics-education/2014/Vol45/Issue1/Quantitative-Reasoning-and-the-Sine-Function_-The-Case-of-Zac/

Journal for Research in Mathematics Education

January 2014, Vol. 45, Issue 1

Quantifying exponential growth: Three conceptual shifts in coordinating multiplicative and additive growth

This is a paper I share with grad student teaching a pre-calculus class. The focus is on student understanding of exponential functions.

http://www.sciencedirect.com/science/article/pii/S0732312315000450

Quantifying exponential growth: Three conceptual shifts in coordinating multiplicative and additive growth

Amy B. Ellisa, , , Zekiye Özgüra, Torrey Kulowa, Caroline C. Williamsa, Joel Amidonb

The Role of Covariational Reasoning in Understanding and Using the Function Concept

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

 

Teachers Explore Linear and Exponential Growth: Spreadsheets as Cognitive Tools

Jl. of Technology and Teacher Education (2006) 14(3), 633-649

Teachers Explore Linear and Exponential Growth:
Spreadsheets as Cognitive Tools
(BEST PAPER AWARD FROM SITE 2004)
MARA ALAGIC AND DIANA PALENZ
Wichita State University
Wichita, KS USA
mara.alagic@wichita.edu
palenz@math.wichita.edu

 

 

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