Koneksi Analisis Riil dan Matematika Sekolah: Identifikasi pada Mahasiswa Calon Guru Matematika

Khamida Siti Nur Atiqoh, M Hafiz

Abstract


There is a significant gap between secondary school mathematics and university mathematics courses. This study aims to identify how mathematics education students understand the connection between topics in Real Analysis and school mathematics content. The research method used in this study is a qualitative descriptive method with the research subjects being students who are pre-service mathematics teachers who are taking the Real Analysis course. Data analysis was carried out in 3 stages, namely: data condensation (data reduction), data presentation, and drawing conclusions. Concept-by-concept connections between Real Analysis topics and mathematics in secondary schools are categorized based on Suominen's categorization of mathematical connections. The research findings reveal that pre-service teachers have limitations in identifying the connections between Real Analysis and school mathematics topics. The connections that students identified were limited to general ideas. It is necessary to prepare a structured learning method in the Real Analysis course that can facilitate the gap between university mathematics and school mathematics.

Keywords


Connections; Real Analysis; School Mathematics

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References


R. Even, "The relevance of advanced mathematics studies to expertise in secondary school mathematics teaching: Practitioner’s views," ZDM—The International Journal of Mathematics Education, 43(6–7), pp. 941–950, https://doi.org/10.1007/s11858-011-0346-1, 2011.

A. Mutaqin, S. Syamsuri and A. Hendrayana, "Analisis kesulitan mahasiswa dalam pembuktian matematis pada mata kuliah analisis real," TIRTAMATH: Jurnal Penelitian dan Pengajaran Matematika, vol. 4, no. 1, pp. 1-11, http://dx.doi.org/10.48181/tirtamath.v4i1.15907, 2022.

K. Silius, S. Pohjolainen, J. Kangas, T. Miilumäki and J. Joutsenlahti, "What can be done to bridge the competency gap between upper-secondary school and university mathematics?," in IEEE Global Engineering Education Conference (EDUCON), Amman, Jordan, 2011.

H. S. Luk, "The gap between secondary school and university mathematics," International Journal of Mathematical Education in Science and Technology, 36:2-3, pp. 161-174, DOI: 10.1080/00207390412331316988, 2005.

M. Wahyuni, "Analisis problematika perkuliahan analisis real," Jurnal Cendekia: Jurnal Pendidikan Matematika, vol. 1, no. 1, pp. 135-149, 2017.

N. Wasserman, K. Weber, M. Villanueva and J. P. M. Ramos, "Mathematics teachers’ views about the limited utility of real analysis: A transport model hypothesis," The Journal of Mathematical Behavior 50(5), pp. 74-89, DOI: 10.1016/j.jmathb.2018.01.004, 2018.

S. L. Pagiling and A. R. Taufik, "Unveiling belief and pedagogical content knowledge of prospective secondary mathematics teachers," Jurnal Elemen, vol. 8, no. 2, pp. 411-426, 2022.

NCTM, Principles and Standards for School Mathematics, Virginia: NCTM, 2000.

J. Kilpatrick, J. Swafford and B. Findell, Adding it up, Washington DC: National Academy Press, 2001.

J. W. Creswell, Research design: Qualitative, quantitative, and mixed methods approaches, London: Sage Publications, 2014.

M. B. Miles, A. M. Huberman and J. Saldana, Qualitative data analysis: A methods sourcebook., London: Sage Publications, 2013.

A. L. Suominen, "Abstract algebra and secondary school mathematics: Identifying and classifying mathematical connections (Doctoral dissertation)," University of Georgia, Georgia, 2015.

T. Fukawa-Connelly, J. Mejia Ramos, N. Wasserman and K. Weber, "An Evaluation of ULTRA; an Experimental Real Analysis Course Built on a Transformative Theoretical Model.," International Journal of Research in Undergraduate Mathematics Education, pp. 6, 159-185. https://doi.org/10.1007/s40753-019-00102-8, 2020.

E. Murray, E. Baldinger, N. Wasserman, S. Broderick and D. White, "Connecting Advanced and Secondary Mathematics," IUMPST: The Journal. Vol 1 (Content Knowledge), vol. 1, pp. 1-10, 2017.

X. Yan, O. Marmur and R. Zazkis , "Advanced Mathematics for Secondary School Teachers: Mathematicians’ Perspective," International Journal of Science and Mathematics Education, vol. 20, pp. 553-573, 2022.




DOI: https://doi.org/10.34312/euler.v10i2.16233

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