Understanding the Definite Integral with the Help of Riemann Sums

Autor/inn/en	Ergene, Özkan; Özdemir, Ahmet Sükrü
Titel	Understanding the Definite Integral with the Help of Riemann Sums
Quelle	In: Participatory Educational Research, 9 (2022) 3, S.445-465 (21 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Zusatzinformation	ORCID (Ergene, Özkan) ORCID (Özdemir, Ahmet Sükrü)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	2148-6123
Schlagwörter	Mathematical Concepts; Mathematics Instruction; Instructional Effectiveness; Preservice Teachers; Mathematics Teachers; Foreign Countries; Models; Learning Activities; Turkey + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Unterrichtserfolg; Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende; Ausland; Analogiemodell; Lernaktivität; Türkei
Abstract	Students encounter difficulties in understanding integral because the concept of integral requires the usage of theorems, formulas, daily life practices, and interdisciplinary approaches. From this point of view, in this study we examine the effects of a teaching process consisting of modelling activities on understanding the definite integral with the help of Riemann sums. The research is designed according to the case study based on a qualitative research method. Participants consist of 28 preservice mathematics teachers who have limited understanding of integral although they have completed a Calculus course. The modelling activities were prepared in accordance with the emergent modelling approach. Data were collected through integral test and semi-structured interviews conducted before and after the teaching process. Before the teaching process consisting of modelling activities, pre-service mathematics teachers' knowledge about the definite integral was included in the area under a curve, inverse of derivative and integral with known boundaries. In addition, participants did not refer to Riemann sums or cumulative sums. After the teaching process consisting of modelling activities, it was seen that almost all participants could explain the following equality [special characters omitted]. At the end of the teaching process consisting of modelling activities, this process has enabled pre-service teachers to establish the relationship between Riemann sum and definite integral. Findings revealed that teaching process of the definite integral enhanced the understanding the definite integral. (As Provided).
Anmerkungen	Participatory Education Research. Amasya University, Technology Faculty, Yagmurkoy Orad, Amasya 05100, Turkey. Web site: https://www.perjournal.com/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01