Lalu Saparwadi, Cholis Sa'dijah, Abdur Rahman As'ari, Tjang Daniel Chandrad
This study aimed at (1) determining the aspects of students' reversible thinking skills in solving the problems of fractional numbers, and (2) determining the stages of students' reversible thinking in solving the problems of fractional numbers. This study belongs to descriptive qualitative research. The subjects of this study were two students of the seventh grade of SMPN 3 Malang, Indonesia. The data was gathered through written tests, observations, and interviews. The results showed that the aspects of students' reversible thinking were verbally negated, physically negated, reciprocity through conversion, reciprocity caused by negation (verbal and physical), and the negation occurred, one of them, was due to the presence of inverse principle. These results also showed that negation is one of the ways to overcome students' perplexity in solving problems. Based on the stages of students' reversible thinking, the second subject shows the importance of thinking reversibly in solving problems, especially in the field of mathematics. © 2020 EManuscript Technologies. All rights reserved.
Universitas Negeri Malang, Jl. Semarang No. 5, Malang, Indonesia; Universitas Hamzanwadi, Jl. TGKH Zainuddin Abdul Majid, East Lombok, Indonesia
