Journal Articles/ Conference Proposals
Mathematical Problem-Solving via Wallas’ Four Stages of Creativity: Implications for the Undergraduate Classroom
(2016) The Mathematics Enthusiast Journal
In this article I created a pseudo-analysis of the papers in proving/problem solving and merged them with Wallas' four stages of creativity. I also had three concerns about how mathematical creativity may not be utilized in the undergraduate classroom, with focus on the four stages from Wallas.
Digital Game based Learning for Undergraduate Calculus Education: Immersion, Calculation, and Conceptual Understanding
(2016) International Journal of Gaming and Computer-Mediated Simulations
This article talks about a game created for students in calculus doing optimization problems. In this research, there were three groups of students researched: those who played the game, those who did comparable items on paper and pencil, and those who did nothing. The results showed that students who played the digital game reported highest task immersion but not sense of control. Students in the game condition also performed significantly better in conceptual understanding compared to students who solved a practice quiz and the control group.
A Rubric for Creativity in Writing Proofs
(2016) MAA FOCUS
This small article explained our final version of the Creativity-in-Progress Rubric (CPR) on Proving, also suggesting certain small pedagogical actions that can foster creativity.
Invited Book Chapters
Formative Assessment of Creativity in Undergraduate Mathematics: Using a Creativity-in-Progress Rubric (CPR) on Proving
(2016) Creativity and Giftedness
This book chapter thoroughly explains our background research, theoretical perspective, and what our CPR on Proving means. There are also examples of students' proofs, and our coding of those proofs. I consider this chapter one of my best pieces of writing.
Conference Presentations/Invited Talks
University of Texas-Arlington Invited Speaker
March 7th, 2016 (Arlington, TX)
This presentation was about the CPR on Proving, with particular attention to how one could think about creativity in undergraduate mathematics classrooms.
19th Annual Conference on Research in Undergraduate Mathematics Education
Feb. 25-27, 2016 (Pittsburgh, PA)
There are two posters I presented. One is a poster that I presented with five OU graduate students: Ashley Berger, Rebecca Grider, Juliana Bucher, Mollie Mills-Weis, and Fatma Bozkurt. The poster concentrated on motivation of taking a RUME course, coding students' responses on a spectrum from external motivation to internal motivation. We found that non-RUME students tended to be more internally motivated, while RUME students tended to be slightly externally motivated. The other poster that David Plaxco and I created dealing with the communication that proof allows, and how that communication influences future proving decisions.
Washington State University Invited Speaker
February 9th, 2016 (Pullman, WA)
I did a Question and Answer session with graduate students and faculty about creativity in general and the CPR on Proving in particular.
Arizona State University Invited Speaker
January 14th, 2016 (Tempe, AZ)
I presented the Creativity-in-Progress Rubric on Proving, along with some new preliminary data about students using the rubric.