Exploring Pre-University Students' Mathematical Connections When Solving Calculus Application Problems

Autor/inn/en	García-García, Javier; Dolores-Flores, Crisólogo
Titel	Exploring Pre-University Students' Mathematical Connections When Solving Calculus Application Problems
Quelle	In: International Journal of Mathematical Education in Science and Technology, 52 (2021) 6, S.912-936 (25 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (García-García, Javier) ORCID (Dolores-Flores, Crisólogo)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2020.1729429
Schlagwörter	Calculus; Mathematics Instruction; Mathematical Concepts; Concept Formation; Problem Solving; Correlation; Foreign Countries; High School Students; Late Adolescents; Mathematical Logic; Mexico + Suchen Sie Ihr Suchwort? Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Mathematics lessons; Mathematikunterricht; Concept learning; Begriffsbildung; Problemlösen; Korrelation; Ausland; High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Halbstarker; Mathematical logics; Mathematische Logik; Mexiko
Abstract	Mathematical connections play an important role in achieving mathematical understanding. Therefore, in this article, we report research whose objective was to identify mathematical connections that pre-university students make when they solve problems that involve the derivative and the integral. In this research, we consider a mathematical connection like a true relationship between two or more concepts, definitions, theorems, or meanings amongst themselves, with other disciplines or with real life. Task-based interviews that included four application problems were used to collect data from 25 students (18 males and 7 females) and Thematic Analysis was used to analyse them. Our results indicate that mathematical connections are dependent on each other, and because of this, they form systems of mathematical connections around the reversibility connection between the derivative and the integral. We found connections of five types: different representations, procedural, features, reversibility and meaning as a mathematical connection. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01