In this paper I will outline the process I have developed for conducting applied mathematics research with undergraduates and give some examples of the projects we have worked on. Several of these projects have led to refereed publications that could be used to illustrate topics taught in the undergraduate curriculum.

In this paper, we discuss the Experimental Mathematics course taught at Valparaiso University since 2009. We focus on aspects of the course that facilitate students' abilities to ask and explore their own research questions.

Open educational resources (OER), which are free and openly licensed educational materials, have been a widely discussed topic in response to high textbook costs, the need for more pedagogical flexibility, and inequality in access to educational materials. In this study we examine the efficacy of OER through a quantitative analysis of the impact…

Introductory courses in mathematics and physical sciences are challenging for students and often have lower success rates than other comparable courses. In online courses, this is compounded by students employing surface learning strategies. Furthermore, it has been shown that students often do not utilize learning materials that are provided in…

Students in an online statistics course were prone to become increasingly disengaged as the semester progressed. In Spring 2015, we took a proactive measure to retain student engagement by introducing a cyber mentoring session. We describe the framework, operation and effectiveness of cyber mentoring in improving students' learning experience and…

In the Fall semester of 2009, I taught a first-year course that focused on skills required to successfully complete undergraduate research. This paper will discuss the Simpson College first-year course requirements, my course goals, the graph theory topics covered, student feedback, and instructor reflection.

Higher education often operates under old rules -- rules that continue despite an increasingly diverse student population and improved understanding of human behavior and choice. Under these old rules, fewer than half of students graduate on time, if at all, and troubling equity gaps exist based on income, race, and ethnicity. It is time for new…

The present research investigated whether real-world application exercises promoted students' abilities to spontaneously transfer statistical knowledge and to recognize the use of statistics in real-world contexts. Over the course of a semester of psychological statistics, two classes completed multiple application exercises designed to mimic…

This paper describes how the author's students (in-service and pre-service secondary mathematics teachers) enrolled in college geometry courses use the Geometers' Sketchpad (GSP) to gain insight to formulate, confirm, test, and refine conjectures to solve the classical airport problem for triangles. The students are then provided with strategic…

States are increasingly focusing the mission of their elementary and secondary education systems on preparing all students for success in postsecondary education and 21st century careers. As standards have increased, so too have graduation requirements. Today, 20 states and the District of Columbia have adopted such high school graduation…

The article begins by highlighting recent trends and concerns in post-secondary Calculus and Precalculus education. The main purpose of the article is to discuss the transition to a new Precalculus/Calculus I two-semester course at Wabash College, a small liberal arts college for men. Three years of data from the earlier, traditional, sequence are…

In the first decade of the 21st century, the nation, the states, and colleges and universities began to grapple with the challenges of globalization, changing demography, the implications of the digital era, and of a less expansive public sector. Although not a transformative period for higher education, the decade saw significant innovations in…