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Investigating Preservice Mathematics Teachers’ Definitions, Formulas, and Graphs of Directly and Inversely Proportional Relationships    
Yazarlar (2)
Muhammet Arıcan
Kırşehir Ahi Evran Üniversitesi, Türkiye
Dr. Öğr. Üyesi Yasemin KIYMAZ Dr. Öğr. Üyesi Yasemin KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Devamını Göster
Özet
This study investigates 48 preservice middle school teachers’ formal textbook definitions, formulas, and graphs of the directly and inversely proportional relationships. The connections among these three types of representations and how preservice teachers’ representations differ according to the two relationships are also examined. The data of the study included the preservice teachers’ responses to a paper-and-pencil test with two items. An explanatory research design model was followed when developing this study. The study findings indicated the preservice teachers’ over-attention to the simultaneous increases and/or decreases when representing the directly and inversely proportional relationships. Only four preservice teachers stated in their definitions that the ratio was constant in the directly proportional relationship. Whereas none of them stated constant product in their inversely proportional definition. Although the preservice teachers were slightly better at writing the direct proportion formula than the inverse proportion formula, this difference was much greater in terms of drawing the direct and inverse proportion graphs. Sixty percent of the preservice teachers drew their inverse proportion graphs as linear with negative slopes. Moreover, the analysis showed that the preservice teachers’ definitions were not well-linked with their graphs and formulas. On the other hand, the preservice teachers who were better at providing correct formulas were also better at drawing the correct graphs. Implications for teaching and future study suggestions are discussed. © 2022. The Author(s) & Dept. of Mathematical Sciences-The University of Montana.
Anahtar Kelimeler
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayınlanan tam makale
Dergi Adı The Mathematics Enthusiast
Dergi ISSN 1551-3440 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler ESCI
Makale Dili İngilizce
Basım Tarihi 06-2022
Cilt No 19
Sayı 2
Sayfalar 632 / 656
Doi Numarası 10.54870/1551-3440.1566
Makale Linki http://dx.doi.org/10.54870/1551-3440.1566