A "Rule of Five" Framework for Models and Modeling to Unify Mathematicians and Biologists and Improve Student Learning

TL;DR

This paper proposes a unified 'Rule of Five' framework for models and modeling to bridge disciplinary gaps between mathematicians and biologists, enhancing interdisciplinary understanding and student learning.

Contribution

It extends the existing 'Rule of Four' to a comprehensive 'Rule of Five' framework that unifies diverse disciplinary definitions of modeling.

Findings

Framework unifies mathematical and biological modeling perspectives

Identifies gaps in current modeling practices across disciplines

Highlights benefits for student learning and interdisciplinary collaboration

Abstract

Despite widespread calls for the incorporation of mathematical modeling into the undergraduate biology curriculum, there is lack of a common understanding around the definition of modeling, which inhibits progress. In this paper, we extend the "Rule of Four," initially used in calculus reform efforts, to a framework for models and modeling that is inclusive of varying disciplinary definitions of each. This unifying framework allows us to both build on strengths that each discipline and its students bring, but also identify gaps in modeling activities practiced by each discipline. We also discuss benefits to student learning and interdisciplinary collaboration.