The University of Montana

Department of Mathematical Sciences

Technical report #2/2013

Argumentation in Mathematics

**Bharath Sriraman**

Dept. of Mathematical Sciences

The University of Montana

**Kristin Umland**

Dept of Mathematics

University of New Mexico

**Abstract**

The origins of argumentation in mathematics are traced from Aristotelian logic onto the work of medieval theologians in modal logic, culminating in work in didactics on the pedagogy of argumentation. The characteristics of mathematical argumentation are unpacked.

**Keywords:** argumentation; history of logic; didactics of argumentation; history of mathematics

**AMS Subject Classification:** 01, 97

Excerpt of article to appear in S. Lerman (Ed), *The Encyclopedia of Mathematics Education*, Springer Reference Works. Full article unavailable due to publisher embargo. Pdf (168 KB)