The Effect of Math Modeling on Student's Emerging Understanding

Autor/in	Sokolowski, Andrzej
Titel	The Effect of Math Modeling on Student's Emerging Understanding
Quelle	In: IAFOR Journal of Education, 3 (2015) 2, S.142-156 (15 Seiten)Infoseite zur Zeitschrift PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	2187-0594
Schlagwörter	Mathematical Models; High School Students; Calculus; Algebra; Mathematics Skills; Problem Solving; Measurement; Data Collection; Mathematics Activities; Hypothesis Testing; Learning Laboratories; Graphs; Quasiexperimental Design; Content Analysis; Mathematical Concepts; Mathematics Education; Secondary School Mathematics; Suburban Schools + Suchen Sie Ihr Suchwort? Mathematical model; Mathematisches Modell; High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Problemlösen; Messverfahren; Data capture; Datensammlung; Hypothesenprüfung; Hypothesentest; Lernstation; Grafische Darstellung; Inhaltsanalyse; Mathematische Bildung; Suburban area; Outskirts; Suburb; School; Schools; Vorort; Vorstadt; Schule
Abstract	This study investigated the effects of applying mathematical modeling on revising students' preconception of the process of optimizing area enclosed by a string of a fixed length. A group of 28 high school pre-calculus students were immersed in modeling activity that included direct measurements, data collecting, and formulating algebraic representation for the data. The lab conduct was enriched by scientific inquiry elements such as hypothesis stating and its verification. While 86% of the students (N=24) falsely hypothesized that the rectangular areas enclosed by a string of a fixed length will remain constant before engaging in the lab, the subsequent tasks of the modeling activity prompted the students to correct their ways of thinking. The study showed that the modeling processes provide ample means of revising students' perception to establish firm conceptual background for inducing a more rigorous algebraic approach to solving problems in math classes. Suggestions for further studies follow. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01