Date of Award

Fall 2018

Document Type

Thesis

Degree Name

Master of Science

Department

Mathematics

First Advisor

Dr. Jing Zhang

Second Advisor

Dr. Dianna Galante

Third Advisor

Professor Robert Kaufmann

Abstract

This thesis focuses on the connections between the content covered in college level abstract algebra and high school mathematics courses. The purpose of studying and understanding these connections is in hopes to improve the way concepts are presented at the high school level to give students a deeper understanding of the mathematics. High school mathematics teachers are required to take specific college courses such as abstract algebra before they can teach high school mathematics. However, many teachers do not believe they can use the complex ideas learned in college to teach their students. On the surface, the content from courses like abstract algebra may seem unrelated, but recognizing important links and altering instruction could make college level mathematical ideas seem accessible to the high school students. We will not only study the connections in content, but also examine different ways to teach the content and how this can be beneficial to students.

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