Analisis Berpikir Reversible Siswa SMP dalam Menyelesaikan Masalah Statistika
DOI:
https://doi.org/10.36456/buanamatematika.v13i1.7342Abstract
Reversible thinking is a type of mental activity that has an important role in a person's success in solving problems. Problem solving is the heart of learning mathematics. Reversible thinking must be developed so that students have good problem solving skills. The purpose of this research is to describe the back-and-forth thinking of junior high school students in solving statistical problems. This type of research is descriptive qualitative with instrument tests. The research subjects were class VII students of SMPN 1 Gudo Jombang. Data collection by giving a test in one class VII SMPN 1 Gudo as many as 33 students. Next, one student who has the highest score is selected to be analyzed more deeply regarding his reversible thinking. The results of the study were that 78.9% of students were able to complete the first question, which was a question where the answer could be directly determined (data was known, the average was asked), but only 45.5% and 30.3% of students were able to complete the next two questions respectively. , which in solving it requires reversible thinking. The next two problems are problems that are the opposite of the first problem. Based on the test results, one student was selected with the highest test score, namely AAN. AAN is able to solve all problems correctly, both from the aspect of the settlement procedure and the final result. AAN has involved aspects of reversible thinking well in solving statistical problems. Among these aspects are forward, backward, and reverse aspects.
Downloads
References
Abror, M. H. (2022). Self-Regulated Learning Terhadap Hasil Belajar Matematika Siswa. Plusminus: Jurnal Pendidikan Matematika, 2(2), 233–242.
Balingga, E., Prahmana, R. C. I., & Murniati, N. (2016). Analisis Kemampuan Reversibilitas Siswa MTs Kelas VII dalam Menyusun Persamaan Linier. Jurnal Review Pembelajaran Matematika, 1(2), 117–131.
Fitriatien, S. R. (2019). Error description of the first year student in aljabar problems. Math Didactic: Jurnal Pendidikan Matematika. https://doi.org/10.33654/math.v5i2.655
Fitriatien, S. R. (2020). Evaluasi Kemampuan Pemecahan Masalah Matematika Berdasarkan Gaya Belajar. Jurnal Pendidikan Matematika. https://doi.org/10.36709/jpm.v11i1.10053
Flanders, S. T. (2014). Investigating Flexibility, Reversibility , And Multiple Representations In A Calculus Environment by Steven Todd Flanders Bachelor of Science.
Maf’Ulah, S., Fitriyani, H., Yudianto, E., Fiantika, F. R., & Hariastuti, R. M. (2019). Identifying the reversible thinking skill of students in solving function problems. Journal of Physics: Conference Series, 1188(1). https://doi.org/10.1088/1742-6596/1188/1/012033
Maf’ulah, S., & Juniati, D. (2019). Students’ Strategies to Solve Reversible Problems of Function: The Part of Reversible Thinking. Journal of Physics: Conference Series, 1417(1). https://doi.org/10.1088/1742-6596/1417/1/012051
Maf’ulah, S., & Juniati, D. (2020). Exploring reversible thinking of preservice mathematics teacher students through problem-solving task in algebra. Journal of Physics: Conference Series, 1663(1). https://doi.org/10.1088/1742-6596/1663/1/012003
Maf’ulah, S., Juniati, D., & Siswono, T. Y. E. (2017). The aspects of reversible thinking in solving algebraic problems by an elementary student winning national Olympiad. World Transactions on Engineering and Technology Education.
Maf’ulah, S. (2022). Reversible Thinking of Fifth Graders : Focus on Linier Equations. Jurnal Ilmiah Sekolah Dasar (JISD), 6(1), 165–175.
Maf’ulah, Syarifatul, & Juniati, D. (2020). The effect of learning with reversible problem-solving approach on prospective-math-teacher students’ reversible thinking. International Journal of Instruction, 13(2), 329–342. https://doi.org/10.29333/iji.2020.13223a
Maf’ulah, Syarifatul, & Juniati, D. (2021). Prospective Mathematics- Teacher Students ’ Reversible Thinking in Solving Math Insurance Problem. Turkish Journal of Computer and Mathematics Education, 12(6), 3124–3131.
Maf’ulah, Syarifatul, Juniati, D., Yuli, T., & Siswono, E. (2016). Pupils’ error on the concept of reversibility in solving arithmetic problems. Educational Research and Reviews, 11(18), 1775–1784. https://doi.org/10.5897/ERR2016.2895
NCTM. (2000). Principles and Standards for School Mathematics. In School Science and Mathematics.
Pebrianti, A., Juandi, D., & Nurlaelah, E. (2022). Reversible Thinking Ability in Solving Mathematics Problems. Jurnal Cendekia : Jurnal Pendidikan Matematika, 7(1), 163–173. https://doi.org/10.31004/cendekia.v7i1.1905
Robinson, K. M., & LeFevre, J. A. (2012). The inverse relation between multiplication and division: Concepts, procedures, and a cognitive framework. Educational Studies in Mathematics, 79(3), 409–428. https://doi.org/https://doi.org/10.1007/s10649-011-9330-5
Sukarsa, I. K. G., & Kencana, I. P. E. . (2015). Statistika Dasar. Laboratorium Statistika Jurusan Matematika FMIPA Universitas Udayana.
Downloads
Published
Issue
Section
License
Copyright (c) 2023 Buana Matematika : Jurnal Ilmiah Matematika dan Pendidikan Matematika

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.















