Relational thinking: The bridge between arithmetic and algebra


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Kızıltoprak A., Köse N.

International Electronic Journal of Elementary Education, cilt.10, sa.1, ss.131-145, 2017 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.26822/iejee.2017131893
  • Dergi Adı: International Electronic Journal of Elementary Education
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.131-145
  • Anahtar Kelimeler: Equal sign, Mathematics teaching, Relational thinking, Secondary school students, Teaching experiment
  • Anadolu Üniversitesi Adresli: Evet

Özet

© 2017 Published by T& K Academic.The purpose of this study is to investigate the development of relational thinking skill, which is an important component of the transition from arithmetic to algebra, of 5th grade students. In the study, the qualitative research method of teaching experiment was used. The research data were collected from six secondary school 5th grade students by means of clinical interviews and teaching episodes. For observing the development of relational thinking, pre and post clinical interviews were also conducted before and after the eight-session teaching experiment. Qualitative analysis of the research data revealed that the relational thinking skills of all the students developed. It was also found that there was an interaction between the development of fundamental arithmetic concepts and relational thinking; that the students developed concepts related to arithmetical operations such as addend and sum; minuend, subtrahend and difference; multiplicator and product; and dividend, divisor and quotient. Moreover, students were able to use these concepts effectively although they failed to provide formal explanations about the relations between them. In addition, the students perceived the equal sign not only finding a result but also as a symbol used to establish a relation between operations and expressions.