Perkembangan Kajian Berpikir Aljabar Siswa Sekolah Dasar dan Menengah: Sebuah Tinjauan Sistematis tahun 2012 sampai 2023

David Nurfiqih, Dadang Juandi

Sari


Penelitian ini merupakan tinjauan literatur sistematis tentang pemikiran aljabar siswa sekolah dasar dan menengah antara tahun 2012 dan 2023 yang dilakukan dengan mengambil data artikel melalui database Scopus. Studi ini mengacu pada pedoman pelaporan Pernyataan PRISM 2020. Adopsi ini akan membantu memperkuat transparansi, konsistensi, dan kelengkapan pelaporan tinjauan sistematis. Tujuan dari studi ini adalah untuk mengetahui jumlah artikel yang diterbitkan berdasarkan tahun, jumlah artikel berdasarkan penulis, distribusi artikel berdasarkan negara, jurnal yang paling produktif, artikel yang paling banyak disitir, dan metode penelitian yang paling banyak dipilih. Pencarian dokumen terakhir pada tanggal 14 Desember 2023 berdasarkan "Judul artikel, Abstrak, Kata Kunci" dengan kata kunci "berpikir aljabar". Proses tersebut menghasilkan 631 dokumen. Pemilahan dan ekstraksi data untuk melakukan tinjauan sistematis menggunakan alat yang disebut Aplikasi Covidence. Hasil tinjauan sistematis ini menjawab pertanyaan penelitian. Beberapa implikasi disarankan untuk penelitian selanjutnya.

Referensi


Adamuz-Povedano, N., Fernández-Ahumada, E., Teresa García-Pérez, M., & Montejo-Gámez, J. (2021). Developing number sense: An approach to initiate algebraic thinking in primary education. Mathematics, 9(5), 1–25. https://doi.org/10.3390/math9050518

Agoestanto, A., Sukestiyarno, Y. L., Isnarto, Rochmad, & Lestari, M. D. (2019). The position and causes of students errors in algebraic thinking based on cognitive style. International Journal of Instruction, 12(1), 1431–1444. https://doi.org/10.29333/iji.2019.12191a

Apsari, R. A., Putri, R. I. I., Sariyasa, Abels, M., & Prayitno, S. (2020). Geometry representation to develop algebraic thinking: A recommendation for a pattern investigation in pre-algebra class. Journal on Mathematics Education, 11(1), 45–58. https://doi.org/10.22342/jme.11.1.9535.45-58

Ayala-Altamirano, C., & Molina, M. (2020). Meanings Attributed to Letters in Functional Contexts by Primary School Students. International Journal of Science and Mathematics Education, 18(7), 1271–1291. https://doi.org/10.1007/s10763-019-10012-5

Ayala-Altamirano, C., Pinto, E., Molina, M., & Cañadas, M. C. (2022). Interacting with Indeterminate Quantities through Arithmetic Word Problems: Tasks to Promote Algebraic Thinking at Elementary School. Mathematics, 10(13). https://doi.org/10.3390/math10132229

Bedenlier, S., Bond, M., Buntins, K., Zawacki-Richter, O., & Kerres, M. (2020). Learning by Doing? Reflections on Conducting a Systematic Review in the Field of Educational Technology. In O. Zawacki-Richter, M. Kerres, S. Bedenlier, M. Bond, & K. Buntins (Eds.), Systematic Reviews in Educational Research: Methodology, Perspectives and Application (pp. 111–127). Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-27602-7_7

Chan, J. Y.-C., Lee, J.-E., Mason, C. A., Sawrey, K., & Ottmar, E. (2022). From Here to There! A Dynamic Algebraic Notation System Improves Understanding of Equivalence in Middle-School Students. Journal of Educational Psychology, 114(1), 56–71. https://doi.org/10.1037/edu0000596

Dowd, A. C., & Johnson, R. M. (2020). Why Publish a Systematic Review: An Editor’s and Reader’s Perspective. In O. Zawacki-Richter, M. Kerres, S. Bedenlier, M. Bond, & K. Buntins (Eds.), Systematic Reviews in Educational Research: Methodology, Perspectives and Application (pp. 69–87). Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-27602-7_5

Erbilgin, E., & Gningue, S. M. (2023). Using the onto-semiotic approach to analyze novice algebra learners’ meaning-making processes with different representations. Educational Studies in Mathematics, 114(2), 337–357. https://doi.org/10.1007/s10649-023-10247-8

Eriksson, I., & Tabachnikova, N. (2022a). “Learning models”: Utilising young students’ algebraic thinking about equations. LUMAT, 10(2), 215–238. https://doi.org/10.31129/LUMAT.10.2.1681

Eriksson, I., & Tabachnikova, N. (2022b). “Learning models”: Utilising young students’ algebraic thinking about equations. LUMAT, 10(2), 215–238. https://doi.org/10.31129/LUMAT.10.2.1681

Goagoses, N., & Koglin, U. (2020). The Role of Social Goals in Academic Success: Recounting the Process of Conducting a Systematic Review. In O. Zawacki-Richter, M. Kerres, S. Bedenlier, M. Bond, & K. Buntins (Eds.), Systematic Reviews in Educational Research: Methodology, Perspectives and Application (pp. 145–161). Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-27602-7_9

Hackenberg, A. J., Aydeniz, F., & Jones, R. (2021). Middle school students’ construction of quantitative unknowns. Journal of Mathematical Behavior, 61. https://doi.org/10.1016/j.jmathb.2020.100832

Hackenberg, A. J., Jones, R., Eker, A., & Creager, M. (2017). “Approximate” multiplicative relationships between quantitative unknowns. Journal of Mathematical Behavior, 48, 38–61. https://doi.org/10.1016/j.jmathb.2017.07.002

Hackenberg, A. J., & Lee, M. Y. (2016). Students’ distributive reasoning with fractions and unknowns. Educational Studies in Mathematics, 93(2), 245–263. https://doi.org/10.1007/s10649-016-9704-9

Hammersley, M. (2020). Reflections on the Methodological Approach of Systematic Reviews. In O. Zawacki-Richter, M. Kerres, S. Bedenlier, M. Bond, & K. Buntins (Eds.), Systematic Reviews in Educational Research: Methodology, Perspectives and Application (pp. 23–39). Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-27602-7_2

Kusumaningsih, W., Darhim, Herman, T., & Turmudi. (2018). Improvement algebraic thinking ability using multiple representation strategy on realistic mathematics education. Journal on Mathematics Education, 9(2), 281–290. https://doi.org/10.22342/jme.9.2.5404.281-290

Lo, C. K. (2020). Systematic Reviews on Flipped Learning in Various Education Contexts. In O. Zawacki-Richter, M. Kerres, S. Bedenlier, M. Bond, & K. Buntins (Eds.), Systematic Reviews in Educational Research: Methodology, Perspectives and Application (pp. 129–143). Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-27602-7_8

Medová, J., Bulková, K. O., & Čeretková, S. (2020). Relations between generalization, reasoning and combinatorial thinking in solving mathematical open-ended problems within mathematical contest. Mathematics, 8(12), 1–20. https://doi.org/10.3390/math8122257

Newman, M., & Gough, D. (2020). Systematic Reviews in Educational Research: Methodology, Perspectives and Application. In O. Zawacki-Richter, M. Kerres, S. Bedenlier, M. Bond, & K. Buntins (Eds.), Systematic Reviews in Educational Research: Methodology, Perspectives and Application (pp. 3–22). Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-27602-7_1

Nind, M. (2020). Teaching Systematic Review. In O. Zawacki-Richter, M. Kerres, S. Bedenlier, M. Bond, & K. Buntins (Eds.), Systematic Reviews in Educational Research: Methodology, Perspectives and Application (pp. 55–68). Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-27602-7_4

Nobre, S., Amado, N., & Carreira, S. (2012). Solving a contextual problem with the spreadsheet as an environment for algebraic thinking development. Teaching Mathematics and Its Applications, 31(1), 11–19. https://doi.org/10.1093/teamat/hrr026

Otten, M., van den Heuvel‐Panhuizen, M., Veldhuis, M., Boom, J., & Heinze, A. (2020). Are physical experiences with the balance model beneficial for students’ algebraic reasoning? An evaluation of two learning environments for linear equations. Education Sciences, 10(6), 1–23. https://doi.org/10.3390/educsci10060163

Page, M. J., McKenzie, J. E., Bossuyt, P. M., Boutron, I., Hoffmann, T. C., Mulrow, C. D., Shamseer, L., Tetzlaff, J. M., Akl, E. A., Brennan, S. E., Chou, R., Glanville, J., Grimshaw, J. M., Hróbjartsson, A., Lalu, M. M., Li, T., Loder, E. W., Mayo-Wilson, E., McDonald, S., … Moher, D. (2021). The PRISMA 2020 statement: An updated guideline for reporting systematic reviews. In The BMJ (Vol. 372). BMJ Publishing Group. https://doi.org/10.1136/bmj.n71

Powell, S. R., & Fuchs, L. S. (2014). Does early algebraic reasoning differ as a function of students’ difficulty with calculations versus word problems? Learning Disabilities Research and Practice, 29(3), 106–116. https://doi.org/10.1111/ldrp.12037

Qetrani, S., Ouailal, S., & Achtaich, N. (2021). Enhancing Students’ Conceptual and Procedural Knowledge Using a New Teaching Approach of Linear Equations Based on the Equivalence Concept. Eurasia Journal of Mathematics, Science and Technology Education, 17(7), 1–17. https://doi.org/10.29333/EJMSTE/10938

Rahmawati, D. I. (2018). Characteristics of Algebraic Thinking of Junior High School Students. Journal of Physics: Conference Series, 1097(1), 012110. https://doi.org/10.1088/1742-6596/1097/1/012110

Ramírez, R., Cañadas, M. C., & Damián, A. (2022). Structures and representations used by 6th graders when working with quadratic functions. ZDM - Mathematics Education, 54(6), 1393–1406. https://doi.org/10.1007/s11858-022-01423-w

Sidik, G. S., Suryadi, D., & Turmudi, T. (2021). Learning Obstacle on Addition and Subtraction of Primary School Students: Analysis of Algebraic Thinking. Education Research International, 2021. https://doi.org/10.1155/2021/5935179

Somasundram, P. (2021). The Role of Cognitive Factors in Year Five Pupils’ Algebraic Thinking: A Structural Equation Modelling Analysis. Eurasia Journal of Mathematics, Science and Technology Education, 17(1). https://doi.org/10.29333/ejmste/9612

Somasundram, P., Akmar, S. N., & Eu, L. K. (2019). Year five pupils’ number sense and algebraic thinking: The mediating role of symbol and pattern sense. New Educational Review, 55(1), 100–111. https://doi.org/10.15804/tner.2019.55.1.08

Suri, H. (2020). Ethical Considerations of Conducting Systematic Reviews in Educational Research. In O. Zawacki-Richter, M. Kerres, S. Bedenlier, M. Bond, & K. Buntins (Eds.), Systematic Reviews in Educational Research: Methodology, Perspectives and Application (pp. 41–54). Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-27602-7_3

Tai, J., Ajjawi, R., Bearman, M., & Wiseman, P. (2020). Conceptualizations and Measures of Student Engagement: A Worked Example of Systematic Review. In O. Zawacki-Richter, M. Kerres, S. Bedenlier, M. Bond, & K. Buntins (Eds.), Systematic Reviews in Educational Research: Methodology, Perspectives and Application (pp. 91–110). Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-27602-7_6

Torres, M. D., Brizuela, B. M., Cañadas, M. C., & Moreno, A. (2022). Introducing tables to second-grade elementary students in an algebraic thinking context. Mathematics, 10(1). https://doi.org/10.3390/math10010056

Torres, M. D., Moreno, A., Vergel, R., & Cañadas, M. C. (2023). The Evolution from “I think it plus three” Towards “I think it is always plus three.” Transition from Arithmetic Generalization to Algebraic Generalization. International Journal of Science and Mathematics Education. https://doi.org/10.1007/s10763-023-10414-6

Ureña, J., Ramírez, R., Molina, M., & Cañadas, M. C. (2023). Generalization: strategies and representations used by sixth to eighth graders in a functional context. Mathematics Education Research Journal. https://doi.org/10.1007/s13394-023-00458-w

Vlassis, J., & Demonty, I. (2022). The role of algebraic thinking in dealing with negative numbers. ZDM - Mathematics Education, 54(6), 1243–1255. https://doi.org/10.1007/s11858-022-01402-1

Wilkie, K. J. (2022). Coordinating visual and algebraic reasoning with quadratic functions. Mathematics Education Research Journal. https://doi.org/10.1007/s13394-022-00426-w

Zhang, Q., & Neitzel, A. (2023). Choosing the Right Tool for the Job: Screening Tools for Systematic Reviews in Education. Journal of Research on Educational Effectiveness. https://doi.org/10.1080/19345747.2023.2209079




DOI: http://dx.doi.org/10.25157/teorema.v9i1.13277

Refbacks

  • Saat ini tidak ada refbacks.


##submission.copyrightStatement##

Laman Teorema: https://jurnal.unigal.ac.id/index.php/teorema/index

Terindek: