Graduation Year
2013
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Weiqing Gu
Reader 2
Darryl Yong
Terms of Use & License Information
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.
Rights Information
© 2013 Nathan Pinsky
Abstract
In recent decades, education researchers have recognized the need for teachers to have a nuanced content knowledge in addition to pedagogical knowledge, but very little research was conducted into what this knowledge would entail. Beginning in 2008, math education researchers began to develop a theoretical framework for the mathematical knowledge needed for teaching, but their work focused primarily on elementary schools. I will present an analysis of the mathematical knowledge needed for teaching about the regular curves and surfaces, two important concepts in differential geometry which generalize to the advanced notion of a manifold, both in a college classroom and in an on-line format. I will also comment on the philosophical and political questions that arise in this analysis.
Recommended Citation
Pinsky, Nathan, "Mathematical Knowledge for Teaching and Visualizing Differential Geometry" (2013). HMC Senior Theses. 49.
https://scholarship.claremont.edu/hmc_theses/49
Source Fulltext
http://www.math.hmc.edu/~npinsky/thesis/npinsky-2013-thesis.pdf
