Intuitionism in Mathematics Education:

Abdul Rahman; Khadijah Khadijah; Alfiah Nurfadhilah  AM. Hindi

doi:10.63922/ijevss.v5i01.2972

Abdul Rahman Universitas Negeri Makassar, Indonesia
Khadijah Khadijah Universitas Negeri Makassar, Indonesia
Alfiah Nurfadhilah AM. Hindi Universitas Patompo, Indonesia

DOI: https://doi.org/10.63922/ijevss.v5i01.2972

Keywords: Mathematical Intuition, Mathematics Education, Bibliometric Analysis, Intuitionism, Research Trends, Future Research Directions

Abstract

Mathematical intuition is widely acknowledged as a fundamental component of mathematical thinking, influencing conceptual understanding, reasoning, and learning processes. However, research on mathematical intuition in mathematics education has evolved across multiple disciplines and publication venues, resulting in a fragmented and heterogeneous body of literature. This study aims to systematically map research trends, thematic structures, and future research directions in the field through a bibliometric analysis of Scopus-indexed publications published between 2005 and 2025. Employing a descriptive-quantitative bibliometric approach, publication metadata were analyzed using the bibliometrics package in R and VOS-viewer, focusing on publication trends, document types, geographical distribution, international collaboration networks, keyword co-occurrence, and thematic evolution. The findings reveal a clear shift from early philosophical and epistemological inquiries, such as intuitionism, truth, and justification, toward more pedagogical, cognitive, and practice-oriented research themes, including mathematics education, diagrammatic reasoning, embodied cognition, and mathematical knowledge. Despite the global growth of publications, international research collaboration remains limited and unevenly distributed across regions. Thematic evolution analysis indicates that mathematical intuition consistently occupies a central position, functioning as a conceptual bridge between foundational philosophical perspectives and contemporary instructional concerns. Based on these findings, this study recommends several priority directions for future research, including research on visual, diagrammatic, and embodied approaches to fostering intuition.

References

Allen, I. E., Seaman, J., & Survey, B. (2011). Going the Distance: Online Education in the United States, 2011. Modern Healthcare, January 2011. https://doi.org/10.1049/el.2012.2018
Brouwer, L. B. J. (2000). Intuitionism and formalism. Bulletin of the American Mathematical Society, 37(1), 55–64. https://doi.org/10.1090/s0273-0979-99-00802-2
Buckingham, S., Ferguson, R., & Journal, S. (2012). Social Learning Analytics Published by : International Forum of Educational Technology & Society Linked references are available on JSTOR for this article : International Forum of Educational Technology & Society, 15(3), 3–26.
Chudnoff, E. (2014). Intuition in Mathematics. In L. M. Osbeck & B. S. Held (Eds.), Rational Intuition: Philosophical Roots, Scientific Investigations (pp. 174–191). Cambridge University Press. https://doi.org/10.1017/CBO9781139136419.010
Ernest, P. (1991). The Philosophy of Mathematics Education. Routledge.
Fischbein, E. (1999). Intuitions and Schemata in Mathematical Reasoning. Educational Studies in Mathematics, 38(1), 11–50. https://doi.org/10.1023/A:1003488222875
Fischbein, E. (2002). Intuition in Science and Mathematics: An Educational Approach. Kluwer Academic Publishers.
Goldie, J. G. S. (2016). Connectivism: A knowledge learning theory for the digital age? Medical Teacher, 38(10), 1064–1069. https://doi.org/10.3109/0142159X.2016.1173661
Gyöngyösi Wiersum, E. (2013). Teaching and learning mathematics through games and activities. Acta Electrotechnica et Informatica, 12(3), 23–26. https://doi.org/10.2478/v10198-012-0026-2
John, J., & Kuiper, C. (2004). Brouwer ’ s Road to Intuitionism door. december 1935.
Kitcher, P. (1985). The Nature of Mathematical Knowledge. Oxford University Press. https://doi.org/10.1093/0195035410.001.0001
Maddy, P. (1980). Perception and Mathematical Intuition. The Philosophical Review, 89(2), 163–196. https://doi.org/10.2307/2184647
Peña-Páez, L. M. (2021). Relación entre la intuición y la invención en matemáticas: Una mirada desde Henri Bergson y Henri Poincaré. Revista de Filosofía, 35(2), 374–396. https://doi.org/10.18800/arete.202302.006
Peña-Páez, L. M. (2023). Relación entre la intuición y la invención en matemáticas: Una mirada desde Henri Bergson y Henri Poincaré. Revista de Filosofía, 35(2), 374–396. https://doi.org/10.18800/arete.202302.006
Popova, Y., Abdualiyeva, M., Torebek, Y., Yelshibekov, N., & Omashova, G. (2022). Improving the Effectiveness of Senior Graders’ Education Based on the Development of Mathematical Intuition and Logic: Kazakhstan’s Experience. Frontiers in Education, 7, 986093. https://doi.org/10.3389/feduc.2022.986093
Tall, D. (2013). How Humans Learn to Think Mathematically: Exploring the Three Worlds of Mathematics. Cambridge University Press.
Tieszen, R. (2002). Gödel and the Intuition of Concepts. Synthese, 133(3), 363–391. https://doi.org/10.1023/A:1021247624209
Wiley, D., & Hilton, J. (2009). Openness, dynamic specialization, and the disaggregated future of higher education. International Review of Research in Open and Distance Learning, 10(5), 2-16. https://doi.org/10.19173/irrodl.v10i5.768
Wrigley, W. (2022). Gödelian Platonism and Mathematical Intuition. European Journal of Philosophy, 30(2), 578–600. https://doi.org/10.1111/ejop.12671

Intuitionism in Mathematics Education

A Bibliometric Analysis of Major Trends and Future Directions Over the Past Decade

Abstract

References