Colloquium Series

Proof: Definitions, Difficulties, and Help

Hillary VanSpronsen

The ability to write a valid mathematical proof is a necessity for every mathematician. But, what is a proof? The definition of proof has changed throughout history and even today, remains a matter of discussion. Yet, whatever you decide it is, there is evidence that students have difficulty with it. Studies, both recent and past, have shown that a large portion of undergraduate mathematics majors have difficulties constructing, understanding, and validating proofs. However, all mathematicians were once students themselves and at some point learned how to construct a valid proof. So, how do they do it? In this talk, I will discuss the history of proof, the definitions which were and are used, the evidence of student inabilty, and the possible heuristics which could be used to make life easier. I will also discuss briefly my ongoing research in this area.

Thursday, 15 March 2007 4:10 p.m. in Math 109

Spring 2007 Colloquium Schedule         Mathematical Sciences | The University of Montana