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ERIC Number: EJ1221329
Record Type: Journal
Publication Date: 2019
Pages: 14
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1051-1970
Inquiry-Based Modeling of Population Dynamics with Logistic Differential and Difference Equations
Ekici, Celil; Plyley, Chris
PRIMUS, v29 n6 p553-570 2019
Following a modeling-first approach to differential equations, inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors. Emerging exemplary practices are presented, building towards a balanced teaching of differential equations involving multiple mathematical perspectives, representations, and intra-disciplinary and interdisciplinary mathematical connections. This innovative approach is an effort towards realizing the MAA's "Common Vision" for Undergraduate Mathematical Sciences programs in 2025. Discrete and continuous approaches are used simultaneously, while numerical and graphical methods are used to build connections between logistic differential and difference equation models. The resulting chaotic behavior of the solutions is also emphasized. We suggest that this enhancement of the "Doing the Math" phase of modeling outlined in SIAM's 2016 "Guidelines for Assessment and Instruction in Mathematical Modeling" offers a wider access to deeper mathematics, and helps to foster complementary disciplinary perspectives in mathematics.
Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Evaluative
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Identifiers - Location: Virgin Islands
Grant or Contract Numbers: 1355437