Fostering prospective mathematics teachers' proportional reasoning through a practice-based instruction

Piskin Tunc M., Çakıroğlu E.

INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, cilt.53, sa.2, ss.269-288, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1080/0020739x.2020.1844909
  • Dergi Adı: INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, IBZ Online, Applied Science & Technology Source, Computer & Applied Sciences, EBSCO Education Source, Education Abstracts, Educational research abstracts (ERA), ERIC (Education Resources Information Center), zbMATH, DIALNET
  • Sayfa Sayıları: ss.269-288
  • Anahtar Kelimeler: Mathematical knowledge for teaching, prospective mathematics teachers, proportional reasoning, ratio and proportion
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

The purpose of this study was to investigate prospective middle school mathematics teachers' proportional reasoning before and after receiving a practice-based instruction based on proportional reasoning. The Proportional Reasoning Test, semi-structured interviews and observations of student teachings were used to collect data about the participants' proportional reasoning. The results indicated that prospective teachers improved their proportional reasoning by completing a practice-based instruction. Before the instruction, they generally applied algebraic procedures without associating meaning and used a limited number of strategies to solve problems. Furthermore, they had difficulties in distinguishing proportional from nonproportional situations. However, by the end of the instruction, while they mostly preferred to use informal strategies, they relied less on formal strategies. Additionally, they utilized a broader range of strategies to solve problems and made sense of these strategies. Further, they could determine whether the quantities in a situation were related additively, multiplicatively, or in some other way.