If P is an integer polynomial denote the degree of P by ∂(P) and let H(P) be the maximum of the absolute value of the coefficients of P. Define Λ(P)=2[superscript ∂(P)]H(P) and for a fixed prime p let C[subscript p] denote the completion of the algebraic closure of the p-adic...
Applied problems are a necessity for a well-rounded and rigorous education in mathematics. This thesis summarizes the literature about student engagement with applied problems in order to develop a set of criteria for what makes an engaging and meaningful applied mathematics problem. Based on a review of the literature, this...
There is an underrepresentation of minority groups and women in the field of mathematics. With growing interest in equity and inclusion within the mathematics education community, it is important to look at how such concepts can be implemented in the classroom. Equitable and inclusive teaching practices have been shown to...
Institutions of higher education have experienced a rapid increase in international student enrollment within a short period of time, especially in mathematics classrooms. It is therefore important for instructors to have the knowledge and skills to support international students in the learning of mathematics. There are few research studies of...
Mathematics outreach typically consists of community events that show the exciting applications of mathematics, particularly to K-12 students. The goal of mathematics outreach events is to increase student interest and involvement in mathematics-related activities. Students start to develop a stigma against mathematics by the end of elementary school. Outreach events...
As industries relating to science, technology, engineering, and mathematics in America continue to grow, employers will need more mathematicians and mathematically able workers than are currently graduating. Women are an underrepresented portion of these graduates, and researches say that this could be due to the difference between women’s and men’s...
Mathematics Graduate Student Instructors (GSIs) have a significant impact on the teaching and learning of mathematics in post-secondary contexts through their work as instructors of record, tutors, graders, and recitation, laboratory, or discussion leaders for mathematics courses. Perhaps more importantly, GSIs are future teachers of mathematics: more than 60 percent...
A teacher's mathematical knowledge for teaching has been shown to have a positive correlation with their students' success (Monk, 1994). So, when half of the students that start out in a STEM major switch out to a non-STEM major before graduation to in large part to instructors pedagogical methods and...
Oregon State University redesigned the college algebra class to make group learning at least 50% of class time. Specifically, in two out of four class hours each week students were organized into small groups where they completed exploratory activities involving new material. Although instructors were present during those group activity...