The Effect of Learning with Reversible Problem-Solving Approach on Prospective-Math-Teacher Students’ Reversible Thinking

Abstract

This study aimed to determine the effect of learning with reversible problemsolving approach on prospective-math-teacher students' reversible thinking. Using experimental research design, the study involved 65 prospective math teacher students as respondents (35 experimental, 30 control). Experimental class implemented a learning with reversible problem-solving approach as the treatment; thing the control class would not do so. A post-test on reversible thinking was applied to both classes for data collection of the students' reversible thinking, and it was further analyzed using t-test via SPSS 23. The result found that the mean score of experimental class was 76.7143, while the control class was 35.3333. A significant difference between their mean score was evident. Hence, it indicated that the post-test of experimental class was considered better than the control one. This post-test result was further analyzed using equal variance assumed t-test via SPSS 23. Result showed that there was a significant difference between both classes on their post-test score. Thus, the study established that learning with reversible problem-solving approach definitely brought effect on prospectivemath-teacher students' reversible thinking ability. The effect was significant and positive.

Reversible Thinking Ability in Solving Mathematics Problems

“…On the other hand, the results of the study also show that reversible mental activities that occur optimally will have an impact on optimal problem-solving abilities (Maf'ulah & Juniati, 2020b;Ramful, 2014;Robinson & LeFevre, 2012). Because when students can carry out the process of working forward and working backward in a balanced manner mental activity can occur optimally which has an impact on optimizing problem-solving skills.…”

“…From all studies that measure students' reversible thinking skills, it is said that students' reversible thinking skills are still low at all levels of education, including primary school, secondary school and university (Maf'Ulah et al, 2019;Maf'ulah & Juniati, 2020b;Sutiarso, 2020;Robinson & LeFevre, 2012;Maf'ulah et al, 2016). The low reversible thinking ability of students is identified from the results of tests that require students to think reversibly.…”

“…Because that ability is the basis for finding alternative solutions to a problem to achieve goals (G. Polya, 2010). Problem-solving ability is the core of learning mathematics (Maf'ulah & Juniati, 2020b). However, in reality, these competencies are still a scourge for most students, where the level of students' problem-solving abilities is still low at various levels and cases such as in the flat-shaped material in junior high school (Sari & Aripin, 2018), difficulties in completing algebra material at the junior high school level (Marisa et al, 2020), and the low problem-solving ability of high school students on arithmetic material (Pirmanto et al, 2020).…”

Cognition Processes of ASD Students: Recommendations for Mathematics Teaching and Learning Process

“…The ability to connect between concepts or ideas in mathematics is very important to make it easier to get strategies in solving mathematical problems. The combination of previous mathematical concepts in a coherent manner will be the main basis in understanding further mathematical concept problems (Maf'ulah & Juniati, 2020). The finding was discovered to be different from the result of Williams, Goldstein, and Minshew (Williams et al, 2006) which used 38 ASD students with high intelligence that the memory was relatively less for complex visual and verbal information.…”

Analisis Kemampuan Reversible Thinking Peserta Didik Kelas VIII SMP pada Materi Sistem Persamaan Linier Dua Variabel

“…(Syarifatul Maf'ulah & Juniati, 2021). Berikutnya pembelajaran dengan pendekatan pemecahan masalah reversibel dapat berpengaruh pada kemampuan berpikir reversibel siswa calon guru matematika dan pengaruhnya signifikan dan positif (Syarifatul Maf'ulah & Juniati, 2020).…”