Students' Specializing Thinking in Solving Arithmetic Sequence and Series Problems
DOI:
https://doi.org/10.35194/jp.v13i1.3930Kata Kunci:
arithmetic sequences and series problems, mathematical thinking, specializingAbstrak
Specializing thinking is a mathematical thinking process that is very important in the mathematics learning process. Specializing thinking is thinking by starting with special things. The application of specializing thinking can be an effective strategy for teachers to improve students' mathematical thinking abilities in dealing with various problems. This research aims to describe students' specializing forms of thinking in solving problems of arithmetic sequences and series. This research method is descriptive qualitative research with a case study approach. The subjects in this research were 2 class X high school students who successfully solved arithmetic sequence and series problems. The instruments used are tests and interviews. The data in this research are the results of the subject's work and the results of interview transcripts. The research results show that two forms of specializing thinking were found in solving arithmetic sequences and series problems, that is explicit schematic representation and implicit schematic representation. It is hoped that the results of this research can provide a valuable contribution to mathematics teachers in designing more meaningful learning.
Referensi
Anwar, R. B., & Rahmawati, D. (2018). Students’ Thinking Process in Creating Schematic Representation. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 7(2), 300–307.
Anwar, R. B., & Rahmawati, D. (2022). Needs Analysis for the Development of Mathematics Statistics I-Module Based on Schematic Representation. Education Quarterly Reviews, 5(4), 96–100. https://doi.org/10.31014/aior.1993.05.04.575
Anwar, R. B., Rahmawati, D., & Supriyatun, S. E. (2021). Effectiveness of Schematic Representation in Solving Word Problem. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(1), 96–104.
Anwar, R. B., Rahmawati, D., & Widjajanti, K. (2019). Schematic Representation: How Students Creating It? Jurnal Matematika Dan Pembelajaran, 7(1), 1–21.
Fagnant, A., & Vlassis, J. (2013). Schematic Representations in Arithmetical Problem Solving: Analysis of Their Impact on Grade 4 Students. Educational Studies in Mathematics, 84(1), 149–168. https://doi.org/10.1007/s10649-013-9476-4
Faizah, S., Nusantara, T., Sudirman, S., & Rahardi, R. (2020). Exploring students’ thinking process in mathematical proof of abstract algebra based on Mason’s framework. Journal for the Education of Gifted Young Scientists, 8(2), 871–884.
https://doi.org/10.17478/JEGYS.689809
Iswari, I. F., Susanti, E., Hapizah, H., Meryansumayeka, M., & Turidho, A. (2019). Design of Problem-Solving Questions to Measure Mathematical Thinking Type Abstraction. Journal of Physics: Conference Series, 1318(1). https://doi.org/10.1088/1742-6596/1318/1/012104
Izzatin, M., Waluyo, S. B., Rochmad, & Wardono. (2020). Students’ cognitive style in mathematical thinking process. Journal of Physics: Conference Series, 1613(1), 1–4. https://doi.org/10.1088/1742-6596/1613/1/012055
Kenjayeva, S. I. (2023). Methods for Developing Students ’ Mathematical Thinking Skills in Schools. Journal of Pedagogical Inventions and Practices, 20(2770), 110–114.
Kim, B., & Jung, E. C. (2023). Three Unique Concept Explorations in Sketching Based on Conceptual Combinations in Associative Extension And Schematic Structure. Thinking Skills and Creativity, 48(10128), 1–14. https://doi.org/10.1016/j.tsc.2023.101281
Komala, E., & Sarmini, S. (2020). Kemampuan Representasi Simbolik Matematik Siswa SMP Menggunakan Blended Learning. Prisma, 9(2), 204. https://doi.org/10.35194/jp.v9i2.1078
Kurniati, D., & Zayyadi, M. (2018). The critical thinking dispositions of students around coffee plantation area in solving algebraic problems. International Journal of Engineering and Technology(UAE), 7(2), 18–20. https://doi.org/10.14419/ijet.v7i2.10.10946
Muyassaroh, H. F., Yuwono, I., & Sudirman, S. (2021). Proses Berpikir Siswa Tipe Kepribadian Idealist Dalam Menyelesaikan Masalah Matematika. Jurnal Kajian Pembelajaran Matematika, 5(1), 35. https://doi.org/10.17977/um076v5i12021p35-41
Pang, J. S., & Sunwoo, J. (2022). Design of a pattern and correspondence unit to foster functional thinking in an elementary mathematics textbook. ZDM - Mathematics Education, 54(6), 1315–1331. https://doi.org/10.1007/s11858-022-01411-0
Polya, G. (1973). How to Solve it, A New Aspect of Mathematical Method (Second Edition). Princeton University Press. https://doi.org/10.1017/cbo9780511616747.007
Putri, A. L., Lukito, A., & Wijayanti, P. (2020). Students’ Specializing in Mathematics Problem Solving. Journal of Physics: Conference Series, 1470(1). https://doi.org/10.1088/1742-6596/1470/1/012075
Septian, A., & Rahayu, S. (2021). Peningkatan Kemampuan Pemecahan Masalah Matematis Siswa melalui Pendekatan Problem Posing dengan Edmodo. PRISMA, 10(2), 170–181. https://doi.org/10.35194/jp.v10i2.1813
Setiawan, E., Jusniani, N., & Sutandi, A. (2021). Analisis Kesalahan Mahasiswa Dalam Menyelesaikan Soal Interpolasi Berdasarkan Analisis Kesalahan Newman. Prisma, 10(2), 221. https://doi.org/10.35194/jp.v10i2.1596
Singer, F. M., & Voica, C. (2022). Playing on patterns: is it a case of analogical transfer? ZDM - Mathematics Education, 54(1), 211–229. https://doi.org/10.1007/s11858-022-01334-w
Suseelan, M., Chew, C. M., & Chin, H. (2023). School-Type Difference Among Rural Grade Four Malaysian Students’ Performance in Solving Mathematics Word Problems Involving Higher Order Thinking Skills. International Journal of Science and Mathematics Education, 21(1),
49–69. https://doi.org/10.1007/s10763-021-10245-3
Tsany, U. N., Septian, A., & Komala, E. (2020). The ability of understanding mathematical concept and self-regulated learning using macromedia flash professional 8. Journal of Physics: Conference Series, 1657(1). https://doi.org/10.1088/1742-6596/1657/1/012074
Wilkins, J. L. M., MacDonald, B. L., & Norton, A. (2022). Construction of subitized units is related to the construction of arithmetic units. Educational Studies in Mathematics, 109(1), 137–154. https://doi.org/10.1007/s10649-021-10076-7
Unduhan
Diterbitkan
Terbitan
Bagian
Lisensi
As a journal Author, you have rights for a large range of uses of your article, including use by your employing institute or company. These Author rights can be exercised without the need to obtain specific permission.
Authors and readers can copy and redistribute the material in any medium or format, as well as remix, transform, and build upon the material for any purpose, even commercially, but they must give appropriate credit (cite to the article or content), provide a link to the license, and indicate if changes were made. If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
The Authors submitting a manuscript do so on the understanding that if accepted for publication, copyright of the article shall be assigned to PRISMA as publisher of the journal.

PRISMA by UNIVERSITAS SURYAKANCANA is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at https://jurnal.unsur.ac.id/prisma.