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Event Detail

Event Type: 
Department Colloquium
Date/Time: 
Monday, November 5, 2018 - 16:00 to 16:50
Location: 
Kearney 212

Speaker Info

Institution: 
University of Northern Colorado
Abstract: 

Creativity is one of the most important aspects of professional mathematicians’ work and it plays a crucial role in the development of mathematics. However, there is little discussion of mathematical creativity in undergraduate mathematics courses, especially in terms of explicitly valuing students’ mathematical creativity. Our creativity research group attempts to address this particular need by exploring ways in which mathematical creativity could be emphasized and developed at the undergraduate level. We have conducted several studies and developed a tool, the Creativity-in-Progress Rubric (CPR) on Proving for proof-based undergraduate courses. This particular rubric was developed through careful exploration of previous rubrics on creativity and the results of interview studies with both mathematicians and undergraduate students. The rubric has been used in various introductory proof courses as well as proof-based upper level math courses. In this talk, I will share the ways in which this tool was used by the instructors in their courses and results of research conducted in these courses (e.g., student written work and interview data analyses). In particular, I will discuss how these course designs and research results inspired us to expand the exploration of mathematical creativity in problem solving in other (non-proof based) courses and current NSF funding. To gain better understanding of the rubric, the audience will engage in a proof-construction and examine proofs.