Biological Models for Finite Mathematics

Autor/in	Jungck, John R.
Titel	Biological Models for Finite Mathematics
Quelle	In: PRIMUS, 32 (2022) 3, S.304-345 (42 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1051-1970
DOI	10.1080/10511970.2021.1877515
Schlagwörter	Mathematics Instruction; Teaching Methods; Mathematical Models; Learning Modules; Interdisciplinary Approach; Biological Sciences; College Mathematics; Aesthetics; Learning Activities; Concept Formation; Spreadsheets; Geometric Concepts; Genetics; Mathematical Concepts; Scientific Concepts; Graphs; Algebra; Equations (Mathematics); Probability; Statistics; Game Theory; Ecology; Information Science + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Teaching method; Lehrmethode; Unterrichtsmethode; Mathematical model; Mathematisches Modell; Learning module; Lernmodul; Fächerübergreifender Unterricht; Fächerverbindender Unterricht; Interdisziplinarität; Abwasserbiologie; Ästhetik; Lernaktivität; Concept learning; Begriffsbildung; Spread sheet; Spredsheets; Spreadsheet; Tabellenkalkulation; Elementare Geometrie; Humangenetik; Grafische Darstellung; Equations; Mathematics; Gleichungslehre; Wahrscheinlichkeitsrechnung; Wahrscheinlichkeitstheorie; Statistik; Spieltheorie; Ökologie; Informationswissenschaft
Abstract	Finite Mathematics has become an enormously rich and productive area of contemporary mathematical biology. Fortunately, educators have developed educational modules based upon many of the models that have used Finite Mathematics in mathematical biology research. A sufficient variety of computer modules that employ graph theory (phylogenetic trees, food webs, networks), cellular automata (pattern formation, diffusion limited aggregation), fractals (both measurement and generation of self-similar structures), finite difference equations and deterministic chaos (logistic growth, predator-prey, SIR epidemiology), combinatorics and probability (genetics and evolution), information theory (biodiversity, sequence logos), and Boolean logic (operons) are available to adopt, adapt, and implement. An emphasis has been placed on modules that are freely available, that have been educationally vetted, and that run on a variety of operating systems. Most modules are easy to use, graphically visual, and amenable to modification. In this paper, two different approaches are stressed: (1) "glass box models" that allow students to see equations associated with each cell in a spreadsheet and to modify/extend those models with minimal effort; and (2) agent-based models that emphasize "bottom-up" modeling and that instantiate the power of massively parallel simulation and address the misconceptions of a "centralized mind-set." (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01