Filsafat Intuisionisme dalam Pembelajaran Matematika

Main Article Content

Memen Permata Azmi
Azwir Salam

Abstract

This article is a literature review from several written sources about the importance of intuitive thinking in learning mathematics. The flow of intuitionism emphasizes construction that depends on a belief. Currently, the development of intuitionism is still significant and plays an important role in learning mathematics related to discovery. In addition, intuition can be used as a liaison from one's vision so that it can help to connect the desired object with alternative choices of ideal answers. Intuition has a role as a trigger for a formal solution or as a first step in exploring answers. Intuition also plays a role when someone needs to choose and make critical choices, make, develop, and discover new hypotheses and theories in mathematics. The intuitive and analytical frameworks cannot be separated on the grounds that they are cognitive processes that complement one another. Analytical thinking is valuable at higher skill levels and can clarify and sharpen intuition. So the subjective (intuitive) and objective (analytical) aspects should not be seen as two conflicting choices, but two related approaches.

Article Details

How to Cite
Azmi, M., & Salam, A. (2023). Filsafat Intuisionisme dalam Pembelajaran Matematika. Journal on Education, 5(2), 1674-1686. https://doi.org/10.31004/joe.v5i2.804
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References

Abdillah, A., Nusantara, T., Subanji, S., Susanto, H., & Abadyo, A. (2016). The Students Decision Making in Solving Discount Problem. International Education Studies, 9(7)
Abdillah, Mastuti, A. G., Rijal, M., Rahman, M. A. (2020). Al-Jabar: Jurnal Pendidikan Matematika Vol. 11, No. 1.
Abidin, Z. & Jarmita, N. (2020). Students’ Intuition of Field Independent and Field Dependent in Solving Divergence Mathematical Problem. Kreano, Jurnal Matematika Kreatif-Inovatif. (11)2.
Adamura, F. & Susanti, V. D. (2018). Penalaran matematis mahasiswa dalam memecahkan masalah analisis real berdasarkan kemampuan berpikir intuitif. Journal of Mathematics and Mathematics Education. Vol.8, No.2, hal 156-172.
Arwanto, Budayasa, I. K., & Budiarto, M. T. (2019). The development role of mathematic intuition principles in mathematical problem-solving. Journal of Physics: Conference Series (The Sixth Seminar Nasional Pendidikan Matematika Universitas Ahmad Dahlan 2018)
Brouwer, L.E.J. (1913) ‘Intuitionism and Formalism’, Bulletin of the American Mathematical Society, 20. Reprinted in Benecerraf and Putnam (1964)
Bruner, J.S. (1974). Bruner on the learning of mathematics – A process orientation. Dalam Aichele, D.B., Readings in Secondary School Mathematics. Boston: Prindle, Weber, & Schmidt.
Dane, E., & Pratt, M. G. (2007). Exploring Intuition and Its Role in Managerial Decision Making. Academy of Management Review, 32(1).
Dane, E., & Pratt, M. G. (2009). Conceptualizing and Measuring Intuition: A Review of Recent Trends. Dalam G. P. Hodgkinson & J. K. Ford (Eds.), International Review of Industrial and Organizational Psychology (Vol. 24, pp. 1-40)
Dummett, M. (1977). The Elements of Intuitionism. Oxford University Press.
Duval, R., (2002), Representation, vision and visualization: cognitive functions in mathematical thinking. Basic issues for learning. In: F. Hitt (Ed.) Representations and Mathematics Visualization (Me´xico: PMENA), 311–336.
Ermawan, M. T. S. (2018). Analisis Kemampuan Berpikir Intuitif Matematis Siswa dengan Self Efficacy Tinggi. Suska Journal of Mathematics Education. Vol.4, No. 1, 2018, Hal. 32-39
Ernest, P. (1991). The Philosophy of Mathematics Education. Routledge Falmer Taylor & Francis Group.
Erlwanger, S.H. (1973) ‘Benny’s Conception of Rules and Answers in IPI Mathematics’, Journal of Children’s Mathematical Behaviour, 1, (2).
Farmaki, V. & Paschos, T. (2007). The interaction between intuitive and formal mathematical thinking: a case study. International Journal of Mathematical Education in Science and Technology, Vol. 38, No. 3, 353–365
Fischbein, E. (1987). Intuition in science and mathematics an educational approach. Netherland: Reidel.
Fischbein, E. (1993). Algoritmic Models and Their Misure in Solving Algebraic Problems. Proceeding of PME, 17 (1)
Fischbein, E., & Schnarch, D. (1997). The Evolution with Age of Probabilistic, Intuitively Based Misconceptions. Journal for Research in Mathematics Education, 28(1).
Fischbein, E. (1999). Intuitions and Schemata in Mathematical Reasoning. Educational Studies in Mathematics, 38.
Heryaningsih, N. Y. & Khusna, H. (2018). Development of syntax of intuition-based learning model in solving mathematics problems. 2018. Journal of Physics: Conference Series. ICE-STEM.
Hinden, G. (2004). Intuition and its Role in Strategic Thinking. BI Norwegian School of Management, Norwegia.
Hirza, B., Kusumah, Y.S. Darhim, Zulkardi. (2014). Improving Intuition Skills with Realistic Mathematics Education. IndoMS-JME, Volume 5, No. 1, January 2014, pp. 27-34.
Isler, O. Yilmaz, O, Dogruyol, B. (2021). Are we at all liberal at heart? High-powered tests find no effect of intuitive thinking on moral foundations. Journal of Experimental Social Psychology 92.
Jatisunda, M. G. & Nahdi, D. S. (2019). Peran Mathematical Intuition dalam Pembelajaran Matematika. Jurnal Jumlahku vol. 5.2 page: 12-24
Kalmar, L. (1967) ‘Foundations of Mathematics—Whither Now?’ Studies in Logic and the Foundations of Mathematics, 47(C)187-207
Khodriyah, Dewi, S. Said, H. B. (2018). Analisis Kemampuan Berpikir Intuitif Siswa Yang Memiliki Gaya Belajar Tipe Judging dalam Menyelesaikan Soal Matematika Di Kelas X SMA Negeri 5 Batanghari. Jurnal Pendidikan Matematika Volume 2 Nomor 2.
Kurniawati, L., Kusumah, Y. S., Sumarmo, U., & Sabandar, J. (2014). Enhancing Students’ Mathematical Intuitive-Reflective Thinking Ability through Problem-Based Learning with Hypnoteaching Method. Journal of Education and Practice, 5(36), 130–135.
Lestari, M. (2019). Implementasi Model Pembelajaran Berbasis Intuisi Terhadap Kreatifitas Siswa. Jurnal Pendidikan Matematika (Kudus). Volume 1, Nomor 1, Juni 2019, hal. 13-22.
Mason, J. and Pimm, D., (1984), Generic examples: seeing the general in the particular. Educational Studies in Mathematics, 15, 277–289.
Mudrika & Budiarto, M. T. (2013). Profil Intuisi Siswa SMP dalam Memecahkan Masalah Geometri Ditinjau dari Kemampuan Matematika Siswa. Jurnal Pendidikan Matematika. 1(1)
Muniri. (2018). Peran Berpikir Intuitif dan Analitis dalam Memecahkan Masalah Matematika. Jurnal Tadris Matematika, 1(1).
Nugroho, B. E., & Usodo, B., & Subanti, S. (2019). Intuition characteristics of junior high school students with rational personality types in solving HOTS mathematical Problems. Journal of Physics: Conference Series. International Conference on Mathematics and Science Education 2019 (ICMScE 2019).
Nurhanurawati, Purwanto, As’ari, A. R., & Irawan, E. B. (2018). Tortuous thinking intuitively in solving problem of sequence convergence. Journal of Physics: Conference Series, 1028(2)
Okoli, J., & Watt, J. (2018). Crisis decision-making: The overlap between intuitive and analytical strategies. Management Decision, 56(5), 1122–1134.