Publication Date

Fall 2023

Document Type

Thesis

Degree Name

Master of Science

Department

Mathematics

First Advisor

Dr. Jing Zhang

Second Advisor

Dr. Lauren Ryba

Third Advisor

Dr. J. Christopher Tweddle

Abstract

Number theory is the study of natural numbers and one of the oldest branches of mathematics. Elementary number theory concepts are integrated into K-12 learning experience. This paper will identify ideas and methods in elementary number theory that could be connected to K-12 education and taught in high school classrooms. In fact, Common Core Standards in Mathematics include some basic concepts and skills in elementary number theory. In this study, we will focus on the greatest common divisor, Euclid's algorithm, least common multiple, factorization and divisibility criteria (divisible by 2, 3, 4, 5, 6, 8, 9, and 11). We hope that learning these contents could foster students’ interests in mathematics and help them develop computational and reasoning skills.

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