Promoting Prospective Mathematics Teachers' Understanding of Derivative across Different Real-Life Contexts

Autor/inn/en	Kertil, Mahmut; Dede, Hande Gülbagci
Titel	Promoting Prospective Mathematics Teachers' Understanding of Derivative across Different Real-Life Contexts
Quelle	In: International Journal for Mathematics Teaching and Learning, 23 (2022) 1, S.1-24 (24 Seiten) PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Kertil, Mahmut) ORCID (Dede, Hande Gülbagci)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1473-0111
Schlagwörter	Problem Based Learning; Secondary School Teachers; Mathematics Teachers; Teaching Methods; Grounded Theory; Student Attitudes; Preservice Teachers; Inferences; Mathematics Instruction; Methods Courses; Task Analysis; Reflection; Writing (Composition); Video Technology; Online Courses; Group Discussion; Mathematical Concepts; Foreign Countries; State Universities; Teacher Education Programs; Turkey + Suchen Sie Ihr Suchwort? Problem-based learning; Problemorientiertes Lernen; Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende; Teaching method; Lehrmethode; Unterrichtsmethode; Schülerverhalten; Inference; Inferenz; Mathematics lessons; Mathematikunterricht; Methodisch-didaktische Anleitung; Aufgabenanalyse; Schreibübung; Online course; Online-Kurs; Gruppendiskussion; Ausland; Staatliche Universität; Türkei
Abstract	This study investigates prospective secondary school mathematics teachers' developing conceptions about the meaning of derivative (as rate of change) while working on a series of tasks involving different non-motion real-life contexts. The study was conducted by employing a case study method. The participants of the study were 25 prospective secondary school mathematics teachers enrolled in mathematics teaching methods course. A series of contextual tasks involving different real-life situations about derivative was designed and implemented in the form of problem-based learning as a regular part of the course. Pre- and post-questionnaires, written group solutions to the tasks, individual reflection papers, and video-recorded online classroom discussions were the data sources. A constant comparative analysis method was employed in analysing the data. The results showed that prospective teachers have difficulties in interpreting the meaning of derivative in different real-life contexts. While they were frequently using "amount of change" and "slope" interpretations, they started to use "rate of change" interpretation. However, the classroom discussions showed that most of the prospective teachers were using the "rate of change" expression as a memorized term without engaging in its contextual meaning. We made some inferences about the teaching and learning of derivative and the professional development needs of teachers. (As Provided).
Anmerkungen	Centre for Innovation in Mathematics Teaching. 5th Floor Rolle Building, Faculty of Education University of Plymouth, Drake Circus, Plymouth, PL4 8AA, UK. Tel: +44-1752-585346; Fax: +44-1752-585344; e-mail: feedback@cimt.org.uk; Web site: http://www.cimt.org.uk/ijmtl/index.php/IJMTL/about
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01