Proof Portfolio for Developing Expertise in Mathematical Communication and Proof-Writing

Matt DeLong, Marian University - Indianapolis

Presented in Innovative Assessment of Learning

Abstract

MAT250 transitions students to advanced mathematics. Objectives include learning to justify mathematical statements using standard methods of proof and communicate mathematical reasoning through clear writing. The semester-long Proof Portfolio is the principal formative and summative assessment of these objectives. Students progressively build a portfolio of independently constructed proofs written using LaTeX, the professional typesetting software of choice for mathematicians. Each week students are given options for conjectures to settle and prove. Students submit first and second drafts and receive extensive feedback through Canvas, with carrots and sticks for weekly progress. The final portfolio is then submitted in hard copy.