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

Authors

C. Diaz Eaton, University of Maine & University of TennesseeFollow
H. C. Highlander, Wesleyan College & Vanderbilt University & University of Minnesota
K. D. Dahlquist, Pomona College & University of California, Santa CruzFollow
G. Ledder, University of Nebraska-LincolnFollow
M.D. LaMar, University of Texas at San Antonio & University of Texas at Austin
R.C. Schugart, University of New York College at Geneseo & North Carolina State University & Ohio State University

Document Type

Article

Date of this Version

6-25-2019

Citation

C. Diaz Eaton, H. C. Highlander, K. D. Dahlquist, G. Ledder, M. D. LaMar & R.C. Schugart (2019) A “Rule-of-Five” Framework for Models and Modeling to Unify Mathematicians and Biologists and Improve Student Learning, PRIMUS, 29:8, 799-829, DOI: 10.1080/10511970.2018.1489318

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 “Rule-of-Five” 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.