Solving numerical method problems with mathematical software: Identifying computational thinking

Marhan Taufik; Reni Dwi Susanti

doi:10.29333/pr/14583

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Marhan Taufik ¹ , Reni Dwi Susanti ¹ ^*

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¹ Study Program of Mathematics Education, Universitas Muhammadiyah Malang, Kota Malang, Jawa Timur, INDONESIA^* Corresponding Author

Abstract

This research examines the application of students’ computational thinking (CT) in solving numerical method problems through computer software. Data collection involved observing their learning process and conducting tests to evaluate their CT skills within the context of the root approach material using Newton-Raphson method. The results indicate that the use of Microsoft Excel facilitates problem-solving for students and educators when employing Newton-Raphson method. Furthermore, it helps identify aspects or indicators of CT in students’ problem-solving processes. The research findings demonstrate that students with strong mathematical abilities should document their conclusions in the algorithmic aspect. Students with moderate mathematical abilities exhibit all indicators in every aspect of CT when solving problems using Newton-Raphson method. On the other hand, students with weak mathematical skills fail to articulate questions, formulas, or conclusions in the algorithm design aspect, but they do show all indicators in the pattern recognition and abstraction aspects.

Keywords

computational thinking
numerical method
software mathematics

License

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

PEDAGOGICAL RES, Volume 9, Issue 3, July 2024, Article No: em0209

https://doi.org/10.29333/pr/14583

Publication date: 01 Jul 2024

Online publication date: 06 May 2024

Article Views: 798

Article Downloads: 594

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References

Agustina, N. (2018). Kemampuan pemahaman konsep siswa SMP pada materi persamaan garis lurus dalam pembelajaran berbasis APOS [Middle school students’ ability to understand concepts in straight line equation material in APOS-based learning]. HISTOGRAM: Jurnal Pendidikan Matematika [Journal of Mathematics Education], 2(1), 12. https://doi.org/10.31100/histogram.v2i1.34
Angeli, C., & Giannakos, M. (2020). Computational thinking education: Issues and challenges. Computers in Human Behavior, 105, 106185. https://doi.org/10.1016/j.chb.2019.106185
Angeli, C., Voogt, J., Fluck, A., Webb, M., Cox, M., Malyn-Smith, J., & Zagami, J. (2016). A K-6 computational thinking curriculum framework: Implications for teacher knowledge. Educational Technology and Society, 19(3), 47-57.
Baiduri, B. (2018). Some methods used by mathematics teachers in solving equations. Journal of Education and Learning, 12(3), 340-349. https://doi.org/10.11591/edulearn.v12i3.6605
Bernard, M., & Senjayawati, E. (2019). Developing the students’ ability in understanding mathematics and self-confidence with VBA for Excel. Journal of Research and Advances in Mathematics Education, 4(1), 45-56. https://doi.org/10.23917/jramathedu.v4i1.6349
Berrocoso, J. V., Fernández-Sánchez, M. R., Dominguez, F. I. R., & Sosa-Díaz, M. J. (2021). The educational integration of digital technologies pre-COVID-19: Lessons for teacher education. PLoS ONE, 16(8), e0256283. https://doi.org/10.1371/journal.pone.0256283
da Rocha, R. P., Ravagnani, M. A. S. S., Andrade, C. M. G., & Paraíso, P. R. (2014). Utilização de planilhas do Excel com interface amigável para minimização do makespan em um sistema de produção flow shop permutacional [Use of Excel spreadsheets with a friendly interface to minimize makespan in a permutational flow shop production system]. Acta Scientiarum-Technology [Journal of Science-Technology], 36(3), 453-461. https://doi.org/10.4025/actascitechnol.v36i3.14928
Fajar, A. P., Kodirun, K., Suhar, S., & Arapu, L. (2019). Analisis kemampuan pemahaman konsep matematis siswa kelas VIII SMP Negeri 17 Kendari [Analysis of the ability to understand mathematical concepts of class VIII students at SMP Negeri 17 Kendari]. Jurnal Pendidikan Matematika [Journal of Mathematics Education], 9(2), 229. https://doi.org/10.36709/jpm.v9i2.5872
Gaik, T., Kahar, R. A., Long, K., & Gaik, T. K. (2009). Solving non-linear systems by Newton’s method using spreadsheet Excel. In Proceedings of the International Conference on Science and Mathematics Education.
Huang, W., Chan, S. W., & Looi, C. K. (2021). Frame shifting as a challenge to integrating computational thinking in secondary mathematics education. In Proceedings of the 52^nd ACM Technical Symposium on Computer Science Education (pp. 390-396). ACM. https://doi.org/10.1145/3408877.3432400
Kallia, M., van Borkulo, S. P., Drijvers, P., Barendsen, E., & Tolboom, J. (2021). Characterising computational thinking in mathematics education: A literature-informed Delphi study. Research in Mathematics Education, 23(2), 159-187. https://doi.org/10.1080/14794802.2020.1852104
Kwon, J., & Kim, J. (2018). A study on the design and effect of computational thinking and software education. KSII Transactions on Internet and Information Systems, 12(8), 4057-4071. https://doi.org/10.3837/tiis.2018.08.028
Labusch, A., Eickelmann, B., & Vennemann, M. (2019). Computational thinking education. In S.-C. Kong, & H. Abelson (Eds.), Computational thinking education (pp. 65-78). Springer. https://doi.org/10.1007/978-981-13-6528-7
Lee, I., Grover, S., Martin, F., Pillai, S., & Malyn-Smith, J. (2020). Computational thinking from a disciplinary perspective: Integrating computational thinking in K-12 science, technology, engineering, and mathematics education. Journal of Science Education and Technology, 29, 1-8. https://doi.org/10.1007/s10956-019-09803-w
Miles, M. B. ., & Huberman, A. M. S. (2018). Qualitative data analysis. In B. B. frey (Ed.), The SAGE encyclopedia of educational research, measurement, and evaluation. SAGE. https://doi.org/10.4135/9781506326139.n559
Nurrita, T. (2018). Pengembangan media pembelajaran untuk meningkatkan hasil belajar siswa [Development of learning media to improve student learning outcomes]. Jurnal Misykat [Miskat Journal], 3(1), 171. https://doi.org/10.33511/misykat.v3n1.171
Puspitarini, Y. D., & Hanif, M. (2019). Using learning media to increase learning motivation in elementary school. Anatolian Journal of Education, 4(2), 53-60. https://doi.org/10.29333/aje.2019.426a
Rodríguez-Martínez, J. A., González-Calero, J. A., & Sáez-López, J. M. (2020). Computational thinking and mathematics using Scratch: An experiment with sixth-grade students. Interactive Learning Environments, 28(3), 316-327. https://doi.org/10.1080/10494820.2019.1612448
Saidin, N. D., Khalid, F., Martin, R., Kuppusamy, Y., & Munusamy, N. A. P. (2021). Benefits and challenges of applying computational thinking in education. International Journal of Information and Education Technology, 11(5), 248-254. https://doi.org/10.18178/ijiet.2021.11.5.1519
Samawati, I., & Kurniasari, I. (2021). Students’ communication skills in solving mathematical literacy problems based on mathematical abilities. Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang [Journal of Medicine: Journal of Mathematics Education IKIP Veteran Semarang], 5(1), 22. https://doi.org/10.31331/medivesveteran.v5i1.1421
Siagian, M. V., Saragih, S., & Sinaga, B. (2019). Development of learning materials oriented on problem-based learning model to improve students’ mathematical problem solving ability and metacognition ability. International Electronic Journal of Mathematics Education, 14(2), 331-340. https://doi.org/10.29333/iejme/5717
Sumartini, T. S. (2016). Peningkatan kemampuan pemecahan masalah matematis siswa melalui pembelajaran berbasis masalah [Increasing students’ mathematical problem solving abilities through problem-based learning]. Mosharafa: Jurnal Pendidikan Matematika [Journal of Mathematics Education], 5(2), 148-158. https://doi.org/10.31980/mosharafa.v5i2.270
Swaid, S. I. (2015). Bringing computational thinking to STEM education. In Proceedings of the 6^th International Conference on Applied Human Factors and Ergonomics and the Affiliated Conferences (pp. 3657-3662). https://doi.org/10.1016/j.promfg.2015.07.761
Syaifuddin, M., Susanti, R. D., & Azmi, R. D. (2020). Kompetensi mahasiswa pada pembelajaran matematika menggunakan Geometer’s sketchpad dengan authentic assessment [Student competency in learning mathematics using Geometer’s sketchpad with authentic assessment]. Jurnal Inovasi Pembelajaran [Journal of Learning Innovation], 6(1), 41. https://doi.org/10.22219/jinop.v6i1.5014
Tafonao, T. (2018). Peranan media pembelajaran dalam meningkatkan minat belajar mahasiswa [The role of learning media in increasing student interest in learning]. Jurnal Komunikasi Pendidikan [Journal of Educational Communication], 2(2), 103. https://doi.org/10.32585/jkp.v2i2.113
Voogt, J., Fisser, P., Good, J., Mishra, P., & Yadav, A. (2015). Computational thinking in compulsory education: Towards an agenda for research and practice. Education and Information Technologies, 20(4), 715-728. https://doi.org/10.1007/s10639-015-9412-6
Yeh, C. Y. C., Cheng, H. N. H., Chen, Z. H., Liao, C. C. Y., & Chan, T. W. (2019). Enhancing achievement and interest in mathematics learning through Math-Island. Research and Practice in Technology Enhanced Learning, 14, 5. https://doi.org/10.1186/s41039-019-0100-9
Yoh, W. H. (2017). Solusi numerik metode beda hingga aplikasi Excel untuk solusi lendutan balok beton sederhana [Numerical solution of the Excel application finite difference method for simple concrete beam deflection solutions]. Jurnal Matematika [Journal of Mathematics], 7(1), 58. https://doi.org/10.24843/jmat.2017.v07.i01.p82
Zhu, Z. (2007). Gender differences in mathematical problem solving patterns: A review of literature. International Education Journal, 8(2), 187-203.

How to cite this article

APA

Taufik, M., & Susanti, R. D. (2024). Solving numerical method problems with mathematical software: Identifying computational thinking. Pedagogical Research, 9(3), em0209. https://doi.org/10.29333/pr/14583

Vancouver

Taufik M, Susanti RD. Solving numerical method problems with mathematical software: Identifying computational thinking. PEDAGOGICAL RES. 2024;9(3):em0209. https://doi.org/10.29333/pr/14583

AMA

Taufik M, Susanti RD. Solving numerical method problems with mathematical software: Identifying computational thinking. PEDAGOGICAL RES. 2024;9(3), em0209. https://doi.org/10.29333/pr/14583

Chicago

Taufik, Marhan, and Reni Dwi Susanti. "Solving numerical method problems with mathematical software: Identifying computational thinking". Pedagogical Research 2024 9 no. 3 (2024): em0209. https://doi.org/10.29333/pr/14583

Harvard

Taufik, M., and Susanti, R. D. (2024). Solving numerical method problems with mathematical software: Identifying computational thinking. Pedagogical Research, 9(3), em0209. https://doi.org/10.29333/pr/14583

MLA

Taufik, Marhan et al. "Solving numerical method problems with mathematical software: Identifying computational thinking". Pedagogical Research, vol. 9, no. 3, 2024, em0209. https://doi.org/10.29333/pr/14583