Abstract

This study aims to examine whether there is a relationship between abstract thinking skills, self-efficacy perceptions and attitude towards mathematics and how these variables predict mathematics achievement. The study was conducted with 198 eighth-grade students who were selected by random sampling and the relational screening model was used. For data collection, the tools of “Abstract Thinking Test in Mathematics”, “Self-Efficacy Perception Scale towards Mathematics”, “Mathematics Attitude Scale” and Mathematics course notes of students were resorted to. According to the findings, it was concluded that there were significant relationships between students’ abstract thinking skills, self-efficacy perceptions and attitudes towards mathematics, and these variables explained 37% of the variance in mathematics achievement. There was no significant difference in mathematics achievement between the groups according to the type of school, while it was found that the scores of the students' abstract thinking skills, attitude towards mathematics and self-efficacy perceptions differed in favor of the students studying in non-boarding secondary school. In addition, no significant difference was observed between the groups in terms of students' mathematics achievement according to their boarding status. It was found that there were significant differences in terms of the other three variables. Suggestions were made to increase mathematics achievement, especially in boarding secondary schools, and it was also offered to increase the feasibility of the environment of the boarding secondary schools.

Highlights

  • Today, mathematics education aims to bring up individuals who are doing research, questioning, communicating effectively, and using the forms of mathematical thinking effectively in both daily life and professional life

  • School, for the scores that the students gained at the mathematics attitude scale, it is seen that there is a significant difference (p = .000 < .05) in favor of the students studying at secondary school (= 78.80)

  • This study investigated whether there is a relationship between abstract thinking skills, self-efficacy perceptions and attitude towards mathematics and how these variables predicted mathematics achievement

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Summary

Introduction

Mathematics education aims to bring up individuals who are doing research, questioning, communicating effectively, and using the forms of mathematical thinking effectively in both daily life and professional life. Students’ academic success depends on many cognitive and affective factors (Yurt & Sunbul, 2014) In this context, students’ abstract thinking skills (ATS) (Kablan & Suzer Ugur, 2020), self-efficacy perceptions (SEP) (Alci et al, 2010; Falco, 2019) and their attitudes towards mathematics (ATM) (Demir & Kilic, 2010; Peker & Mirasyedioglu, 2003, Primi et al, 2020) are seen as important components that affect academic success in mathematics education. In other words, solving problems requiring high level mathematical thinking skills becomes easier with abstract thinking, and the gains obtained solving such problems can be used to solve new problems In light of this information, it is realized how important abstract thinking skill is in the interpretation of mathematical concepts and relationships

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