Intuition and Its Role in Students' Mathematical Reasoning Ability

Sri Lestari, Saiful Marom, Rochmad Rochmad

Abstract


This study aims to find out more about intuition and its role in shaping students' mathematical reasoning abilities. In the discussion of the philosophy of mathematics intuition plays an important role. Intuition has been discussed by philosophers of mathematics for centuries. It is said that intuition is a provisional guess. In relation to mathematical reasoning ability, it is an indispensable ability for students because mathematical reasoning skills greatly contribute to the development of a set of 21st century skills. The method in this research is a library study approach. Researchers collect various references and sources, both international and national journals, books, and other articles related to the theme to be discussed. From the results of the discussion obtained intuition and mathematical reasoning ability are two things that complement each other in solving a mathematical problem. Intuition, which is a candidate for evidence, is then formally proven by mathematical reasoning with mathematical reasoning indicators. Intuitive processes direct the analytical process while quickly serving as a bridge in performing analytical reasoning. So if a person's intuition is good then his mathematical reasoning ability is also good. The potential of mathematical intuition in developing mathematical reasoning abilities is based on the theory that one component of intuition is reasoning


Keywords


intuition; mathematical reasoning ability

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References


Arnesen, K. K., Enge, O., Rø, K., & Valenta, A. (2019). Initial Participation in a Reasoning-and-proving Discourse in Elementary School Teacher Education. Elevent Congress of European Society for Research in the Mathematics Education (No.3), 1–8. https://hal.archives-ouvertes.fr/hal-02397997

Bakker, A. (2014). Characterising and developing vocational mathematical knowledge. Educational Studies in Mathematics, 86(2), 151–156. https://doi.org/10.1007/s10649-014-9560-4

Baylor, A. L. (1997). A three-component conception of intuition: Immediacy, sensing relationships, and reason. New Ideas in Psychology, 15(2), 185–194. https://doi.org/10.1016/S0732-118X(97)00016-0

Ben-zeev, A. (2021). Intuitive Mathematics: Theoretical and Educational Implications. Understanding and Teaching the Intuitive Mind, January 2001, 41–68. https://doi.org/10.4324/9781410605740-5

Bhat, M. A. (2016). The Predictive Power of Reasoning Ability on Academic Achievement. International Journal of Learning, Teaching and Educational Research, 15(1), 79–88.

Bunge, M. (1963). Intuition and Science. Dialogue, 2(2), 238–239. https://doi.org/10.1017/s0012217300043961

Cooper, H. M. (1988). Organizing knowledge syntheses: A taxonomy of literature reviews. Knowledge in Society, 1(1), 104–126. https://doi.org/10.1007/BF03177550

Dane, E., & Pratt, M. G. (2007). Exploring intuition and its role in managerial decision making. Academy of Management Review, 32(1), 33–54. https://doi.org/10.5465/AMR.2007.23463682

Elvis Napitupulu, E., Suryadi, D., & Kusumah, Y. S. (2016). Cultivating upper secondary students’ mathematical reasoning-ability and attitude towards mathematics through problem-based learning. Journal on Mathematics Education, 7(2), 117–128. https://doi.org/10.22342/jme.7.2.3542.117-128

Evans, J. S. B. T. (2010). Intuition and reasoning: A dual-process perspective. Psychological Inquiry, 21(4), 313–326. https://doi.org/10.1080/1047840X.2010.521057

Fraenkel, J. R., Wallen, N., & Hyun, H. (2012). How To Design and Evaluate Research in Education (S. Kiefer (ed.); 8th ed.). McGraw-Hill.

Hers, R. (1997). What is Mathematics Really? Oxford Univercity Press.

Istiqlal, M. (2019). Dukungan Kemampuan Intuitif Dalam Pemecahan Masalah Matematika. JIPMat, 4(2). https://doi.org/10.26877/jipmat.v4i2.3982

Kant’s, I. (1896). Critique of Pure Reason (F. M. Muller (ed.); Second edi). The Macmillan Company.

Leighton, J. P. (2004). Defining and Describing Reasoning. In J. P. Leighton & R. J. Sternberg (Eds.), The nature of reasoning. Cambridge University Press. https://doi.org/10.1037/12822-019

Menpendikbudristek. (2022). Pedoman penerapan kurikulum dalam rangka pemulihan pembelajaran. Menpendikbudristek, 1–112. jdih.kemendikbud.go.id

Muniri, M. (2018). Peran Berpikir Intuitif dan Analitis dalam Memecahkan Masalah Matematika. Jurnal Tadris Matematika, 1(1), 9–22. https://doi.org/10.21274/jtm.2018.1.1.9-22

O’Neill, S. (2019). Mathematical Reasoning Challenges Artificial Intelligence. Engineering, 5(5), 817–818. https://doi.org/10.1016/j.eng.2019.08.009

OECD. (2018). PISA 2021 MATHEMATICS FRAMEWORK (DRAFT). In Angewandte Chemie International Edition, 6(11), 951–952. http://www.oecd.org/pisa/pisaproducts/pisa-2021-mathematics-framework-draft.pdf

Ozdemir, H., & Onder-Ozdemir, N. (2021). Vocational High School Students’ Perceptions of Success in Mathematics. International Electronic Journal of Mathematics Education, 12(3), 493–502. https://doi.org/10.29333/iejme/627

Öztürk, M., & Sarikaya, İ. (2021). The relationship between the mathematical reasoning skills and video game addiction of Turkish middle schools students: A serial mediator model. Thinking Skills and Creativity, 40(February). https://doi.org/10.1016/j.tsc.2021.100843

PusatAsesmendanPembelajaran. (2020). Desain Pengembangan Soal Asesmen Kompetensi Minimum 2020 1. Kemdikbud.

Ross, K. A. (1998). Doing and Proving: The Place of Algorithms and Proofs in School Mathematics. The American Mathematical Monthly, 105(3), 252–255. https://doi.org/10.1080/00029890.1998.12004875

Sa’o, S. (2016). Berpikir Intuitif sebagai Solusi Mengatasi Rendahnya Prestasi Belajar Matematika. Jurnal Review Pembelajaran Matematika, 1(1), 43–56. https://doi.org/10.15642/jrpm.2016.1.1.43-56

Saxton, D., Kohli, P., Grefenstette, E., & Hill, F. (2019). Analysing mathematical reasoning abilities of neural models. 7th International Conference on Learning Representations, ICLR 2019, 1–17.

Steen, L. A. (1999). Twenty questions about mathematical reasoning. In L. Stiff (Ed.), NCTM’s 1999 Yearbook which is devoted to mathematical reasoning: Developing Mathematical Reasoning in Grades K-12 (pp. 270–285). Reston:NCTM.

Sukmana, Agus, Wahyudin, M. (2011). a Teaching Material Development for Developing Students ’ Intuitive Thinking. Mat Stat, 11(2), 75–81.

Umay, A. (2003). Matematiksel muhakeme yeteneği. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 24(24), 234–243.




DOI: https://doi.org/10.18326/hipotenusa.v4i1.7289

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