Study of Mathematical Reasoning Ability for Mathematics Learning in Schools: A Literature Review

Rosida Marasabessy

Abstract


This article aims to examine students' mathematical reasoning abilities. This study is in the form of using approaches and strategies for improving students’ abilities. Differences in mathematical reasoning abilities were revealed from a gender perspective, teaching materials oriented towards mathematical reasoning, teacher perceptions, and design of teacher action characteristics to improve the process of students' mathematical reasoning. Scientific articles are studied to collect information about students' mathematical reasoning. The study results indicate: 1) learning strategies such as open-ended, visual basic application for excel, adversity question, and argument-driven inquiry could be used to improve students' mathematical reasoning abilities. 2) the development of male students' mathematical reasoning was significantly better than female students. 3) teachers' perceptions of mathematical reasoning differ from the perceptions of experts. 4) the quality of students' mathematical reasoning is still dominated by imitative reasoning. 5) The ability to generalize and justify will emerge if the teacher designs a challenging lesson for students followed by activities to guide students. This research is expected to be helpful in education, especially mathematics learning in schools, where it can be used as a reference for choosing strategies and teacher reading materials to improve students' mathematical reasoning abilities.

Keywords


Education; Learning in school; Mathematics; Reasoning; Teaching

Full Text:

PDF

References


Bernard, M., and Chotimah, S. (2018). Improve student mathematical reasoning ability with open-ended approach using VBA for powerpoint. AIP Conference Proceedings, 2014(1), 020013.

Brousseau, G. (2006). Theory of didactical situations in mathematics: Didactique des mathématiques. Springer Science and Business Media, 19(2006), 1970–1990.

Chotimah, S., Bernard, M., and Wulandari, S. M. (2018). Contextual approach using VBA learning media to improve students’ mathematical displacement and disposition ability. In Journal of Physics: Conference Series, 948(1), 012025.

Creswell, J. W., and Creswell, J. D. (2017). Research design: Qualitative, quantitative, and mixed methods approaches. Sage publications.

Demeter, T. (2019). Hume on the social construction of mathematical knowledge. Synthese, 196(9), 3615-3631.

English, L. D. (2013). Analogies, metaphors, and images: Vehicles for mathematical reasoning. In Mathematical Reasoning (pp. 11-26). Routledge.

Erdem, E., and Soylu, Y. (2017). Age-and Gender-Related Change in Mathematical Reasoning Ability and Some Educational Suggestions. Journal of Education and Practice, 8(7), 116-127.

Fuadi, R., Johar, R., and Munzir, S. (2016). Peningkatkan kemampuan pemahaman dan penalaran matematis melalui pendekatan kontekstual. Jurnal Didaktik Matematika, 3(1), 47-54.

Habsah, F. (2017). Developing teaching material based on realistic mathematics and oriented to mathematical reasoning and mathematical communication. Jurnal Riset Pendidikan Matematika, 4(1), 43-55.

Henningsen, M., and Stein, M. K. (1997). Mathematical tasks and student cognition: Classroom-based factors that support and inhibit high-level mathematical thinking and reasoning. Journal for Research in Mathematics Education, 28(5), 524-549.

Herbert, S., Vale, C., Bragg, L. A., Loong, E., and Widjaja, W. (2015). A framework for primary teachers’ perceptions of mathematical reasoning. International Journal of Educational Research, 74(2015), 26-37.

Hidayat, W., Wahyudin, and Prabawanto, S. (2018). Improving students’ creative mathematical reasoning ability students through adversity quotient and argument driven inquiry learning. In Journal of Physics: Conference Series, 948(1), 012005.

Kadarisma, G., Nurjaman, A., Sari, I. P., and Amelia, R. (2019, February). Gender and mathematical reasoning ability. Journal of Physics: Conference Series, 1157(4), 042109.

Knopf, J. W. (2006). Doing a literature review. PS: Political Science and Politics, 39(1), 127-132.

Lestari, W., and Jailani. (2018, September). Enhancing an ability mathematical reasoning through metacognitive strategies. Journal of Physics: Conference Series, 1097(1), 012117.

Marasabessy, R., and Hasanah, A. (2021). Penalaran matematika: Apa aspek sentralnya?. Jurnal Cendekia: Jurnal Pendidikan Matematika, 5(1), 562-577.

Mata-Pereira, J., and da Ponte, J. P. (2017). Enhancing students’ mathematical reasoning in the classroom: teacher actions facilitating generalization and justification. Educational Studies in Mathematics, 96(2), 169-186.

Piaget. (1964). Cognitive development in children: Piaget development and learning. Journal of Research in Science Teaching, 2(1964), 176-186.

Rosnawati, R. (2013). Kemampuan penalaran matematika siswa SMP Indonesia pada TIMSS 2011. Prosiding Seminar Nasional Penelitian, Pendidikan dan Penerapan MIPA, Fakultas MIPA, Universitas Negeri Yogyakarta, 18(2013), 1-6.

Shimizu, N. (2000). An analysis of" make an organized list" strategy in problem solving process. PME Conference, 4(2000), 4-145.

Sukirwan., Darhim2 and T Herman. (2018). Analysis of students’ mathematical reasoning. Journal of Physics: Conference Series, 948(1), 012036.

Sumartini, T. S. (2015). Peningkatan kemampuan penalaran matematis siswa melalui pembelajaran berbasis masalah. Mosharafa: Jurnal Pendidikan Matematika, 4(1), 1-10.

Wijaya, T. T., Ying, Z., and Purnama, A. (2020). Using hawgent dynamic mathematic software in teaching trigonometry. International Journal of Emerging Technologies in Learning (IJET), 15(10), 215-222.


Refbacks

  • There are currently no refbacks.


Copyright (c) 1970 Universitas Pendidikan Indonesia

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

Indonesian Journal of Teaching in Science (IJoTIS) is published by UPI