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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
Carrying Biomath Education In A Leaky Bucket, James A. Powell, Brynja R. Kohler, James W. Haefner, Janice Bodily
Carrying Biomath Education In A Leaky Bucket, James A. Powell, Brynja R. Kohler, James W. Haefner, Janice Bodily
Mathematics and Statistics Faculty Publications
In this paper, we describe a project-based mathematical lab implemented in our Applied Mathematics in Biology course. The Leaky Bucket Lab allows students to parameterize and test Torricelli’s law and develop and compare their own alternative models to describe the dynamics of water draining from perforated containers. In the context of this lab students build facility in a variety of applied biomathematical tools and gain confidence in applying these tools in data-driven environments. We survey analytic approaches developed by students to illustrate the creativity this encourages as well as prepare other instructors to scaffold the student learning experience. Pedagogical results …
Games To Teach Mathematical Modelling, James A. Powell, Jim S. Cangelosi, Ann M. Harris
Games To Teach Mathematical Modelling, James A. Powell, Jim S. Cangelosi, Ann M. Harris
Mathematics and Statistics Faculty Publications
We discuss the use of in-class games to create realistic situations for mathematical modelling. Two games are presented which are appropriate for use in post-calculus settings. The first game reproduces predator-prey oscillations and the second game simulates disease propagation in a mixing population. When used creatively these games encourage students to model realistic data and apply mathematical concepts to understanding the data.