Main Article Content

Abstract

Mathematical representation is essential as the gateway to mastering mathematical literacy. This literature study aims to determine the growth of students' mathematical representation abilities in the last three years. This literature study presents a literature review on the development of mathematical representations, including media, strategies, and measurement instruments to serve as the basis for future mathematical representations. The literature study method used is the SLR (Systematic Literature Review), utilizing a review procedure that refers to the Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA) framework in the period 2020 to 2022 because the growth in literature studies on mathematical representations is very significant and latest. Data were collected by reviewing 24 Scopus-indexed articles and proceedings from the Scopus database. The study's results reveal that from the 24 selected literature, it can be interpreted if the mathematical representation ability can be improved and fulfills the indicators of mathematical representation itself by providing innovation in media, strategies, and instruments in learning mathematics. The innovations provided can be in the form of technology integration (Geogebra), no longer conventional strategies (RME strategy), and instrument indicators of the representation itself. Thus the ability of students' mathematical representations is no longer included in the low category in solving mathematical problems.

Keywords

Mathematical representation Systematic Literature Review

Article Details

Author Biographies

Rizki Wahyu Yunian Putra, Universitas Lampung

Doctoral Student, Department of Education, Faculty of Teacher and Education

Sunyono Sunyono, Universitas Lampung

Department of Education, Doctoral Program, Faculty of Teacher and Education

Een Yayah Haenilah, Universitas Lampung

Department of Education, Doctoral Program, Faculty of Teacher and Education

Hasan Hariri, Universitas Lampung

Department of Education, Doctoral Program, Faculty of Teacher and Education

Sugeng Sutiarso, Universitas Lampung

Department of Education, Doctoral Program, Faculty of Teacher and Education

Nurhanurawati Nurhanurawati, Universitas Lampung

Department of Education, Doctoral Program, Faculty of Teacher and Education

Nanang Supriadi, Universitas Islam Negeri Raden Intan Lampung

Department of Mathematics Education

References

  1. Awantagusnik, A., Susiswo, S., & Irawati, S. (2021). Mathematical representation process analysis of students in solving contextual problem based on Polya’s strategy. AIP Conference Proceedings, 2330(1), 040016. https://doi.org/10.1063/5.0043422

  2. Bakar, K. A., Yunus, F., Mohamed, S., & Karim, A. A. (2020). Addition concept through the lenses of young children: Creating visual representation with digital cameras. Eurasia Journal of Mathematics, Science and Technology Education, 16(6), em1854. https://doi.org/10.29333/ejmste/7950

  3. Birgin, O. (2012). Investigation of eighth-grade students' understanding of the slope of the linear function. Bolema: Boletim de Educação Matemática, 26, 139-162. https://doi.org/10.1590/S0103-636X2012000100008

  4. Björklund, C., & Palmér, H. (2022). Teaching toddlers the meaning of numbers—connecting modes of mathematical representations in book reading. Educational Studies in Mathematics, 110(3), 525-544. https://doi.org/10.1007/s10649-022-10147-3

  5. Fauziyah, R. R., & Jupri, A. (2020). Analysis of elementary school students’ ability on mathematical communication and mathematical representation. Journal of Physics: Conference Series, 1521(3), 032080. https://doi.org/10.1088/1742-6596/1521/3/032080

  6. Fiantika, F. R. (2021). Mathematical and mental rotation skill in internal representation of elementary students. Journal of Physics: Conference Series, 1776(1), 012011. https://doi.org/10.1088/1742-6596/1776/1/012011

  7. Hakim, D. L., Herman, T., & Kartasasmita, B. G. (2020). The use of mobile learning at SMP Negeri 3 Karawang Barat in improving students’ mathematical representation ability. Journal of Physics: Conference Series, 1663(1), 012038. https://doi.org/10.1088/1742-6596/1663/1/012038

  8. Herdiman, I., Jayanti, K., & Pertiwi, K. A. (2018). Kemampuan representasi matematis siswa smp pada materi kekongruenan dan kesebangunan [The mathematical representation ability of junior high school students on congruence material]. Jurnal Elemen, 4(2), 216-229. https://doi.org/10.29408/jel.v4i2.539

  9. Hidayat, W., Rohaeti, E. E., Hamidah, I., & Putri, R. I. I. (2023). How can android-based trigonometry learning improve the math learning process? Frontiers in Education, 7, 1016. https://doi.org/10.3389/feduc.2022.1101161

  10. Higgins, J. P., López-López, J. A., & Aloe, A. M. (2021). Meta-Regression. In C. H. Schmid, T. Stijnen, & I. White (Eds.), Handbook of Meta-Analysis (pp. 129-150). CRC Press.

  11. Hwang, W.-Y., Chen, N.-S., Dung, J.-J., & Yang, Y.-L. (2007). Multiple representation skills and creativity effects on mathematical problem solving using a multimedia whiteboard system. Journal of Educational Technology & Society, 10(2), 191-212.

  12. Jewaru, A. A. L., Umrotul, Kusairi, S., & Pramono, N. A. (2021). Senior high school students understanding of vector concepts in mathematical and physical representations. AIP Conference Proceedings, 2330(1). https://doi.org/10.1063/5.0043433

  13. Kaitera, S., & Harmoinen, S. (2022). Developing mathematical problem-solving skills in primary school by using visual representations on heuristics. LUMAT: International Journal on Math, Science and Technology Education, 10(2), 111-146. https://doi.org/10.31129/LUMAT.10.2.1696

  14. Lame, G. (2019). Systematic literature reviews: An introduction. Proceedings of the Design Society: International Conference on Engineering Design, 1(1), 1633-1642. https://doi.org/10.1017/dsi.2019.169

  15. Lestari, I., Kesumawati, N., & Ningsih, Y. L. (2020). Mathematical representation of grade 7 students in set theory topics through problem-based learning. Infinity Journal, 9(1), 103-110. https://doi.org/10.22460/infinity.v9i1.p103-110

  16. Lestariningsih, L., Amin, S. M., Lukito, A., & Lutfianto, M. (2018). Exploring mathematization underpinnings of prospective mathematics teachers in solving mathematics problems. Beta: Jurnal Tadris Matematika, 11(2), 167-176.

  17. Lestariningsih, L., Nurhayati, E., Susilo, T. A. B., Cicinidia, C., & Lutfianto, M. (2020). Development of mathematical literacy problems to empower students’ representation. Journal of Physics: Conference Series, 1464(1), 012018. https://doi.org/10.1088/1742-6596/1464/1/012018

  18. Lusiana, L., & Suryani, M. (2014). Metode SLR untuk mengidentifikasi isu-isu dalam software engineering [SLR method for identifying issues in software engineering]. Sains dan Teknologi Informasi, 3(1), 1-11. https://doi.org/10.33372/stn.v3i1.347

  19. McDonagh, M., Peterson, K., Raina, P., Chang, S., & Shekelle, P. (2014). Avoiding bias in selecting studies. In R. Kronick, J. Slutsky, & S. Chang (Eds.), Methods guide for effectiveness and comparative effectiveness reviews (pp. 163-179).

  20. Munn, Z., Peters, M. D. J., Stern, C., Tufanaru, C., McArthur, A., & Aromataris, E. (2018). Systematic review or scoping review? Guidance for authors when choosing between a systematic or scoping review approach. BMC Medical Research Methodology, 18(1), 143. https://doi.org/10.1186/s12874-018-0611-x

  21. 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

  22. Nuraida, I., & Amam, A. (2019). Hypothetical learning trajectory in realistic mathematics education to improve the mathematical communication of junior high school students. Infinity Journal, 8(2), 247-258. https://doi.org/10.22460/infinity.v8i2.p247-258

  23. Nurrahmawati, N., Sa'dijah, C., Sudirman, S., & Muksar, M. (2021). Assessing students' errors in mathematical translation: From symbolic to verbal and graphic representations. International Journal of Evaluation and Research in Education, 10(1), 115-125. https://doi.org/10.11591/ijere.v10i1.20819

  24. OECD. (2003). The PISA 2003 assessment framework mathematics, reading, science and problem solving, knowledge and skills. OECD.

  25. OECD. (2017). PISA 2015 Results (Volume V). https://doi.org/10.1787/9789264285521-en

  26. Pedersen, M. K., Bach, C. C., Gregersen, R. M., Højsted, I. H., & Jankvist, U. T. (2021). Mathematical representation competency in relation to use of digital technology and task design—A literature review. Mathematics, 9(4), 444. https://doi.org/10.3390/math9040444

  27. Post, M., & Prediger, S. (2022). Teaching practices for unfolding information and connecting multiple representations: the case of conditional probability information. Mathematics Education Research Journal. https://doi.org/10.1007/s13394-022-00431-z

  28. Prahmana, R. C. I., Sagita, L., Hidayat, W., & Utami, N. W. (2020). Two decades of realistic mathematics education research in Indonesia: A survey. Infinity Journal, 9(2), 223-246. https://doi.org/10.22460/infinity.v9i2.p223-246

  29. Rahayu, E. G. S., Juandi, D., & Jupri, A. (2021). Didactical design for distance concept in solid geometry to develop mathematical representation ability in vocational high school. Journal of Physics: Conference Series, 1882(1), 012077. https://doi.org/10.1088/1742-6596/1882/1/012077

  30. Rahayu, M. S. I., & Kuswanto, H. (2021). The effectiveness of the use of the android-based carom games comic integrated to discovery learning in improving critical thinking and mathematical representation abilities. Journal of Technology and Science Education, 11(2), 270-283. https://doi.org/10.3926/jotse.1151

  31. Ramanisa, H., Khairudin, K., & Netti, S. (2020). Analisis kemampuan representasi matematis siswa [Analysis of students' mathematical representation ability]. Jurnal Magister Pendidikan Matematika (JUMADIKA), 2(1), 34-38. https://doi.org/10.30598/jumadikavol2iss1year2020page34-38

  32. Rosita, C. D., Nopriana, T., & Silvia, I. (2019). Design of learning materials on circle based on mathematical communication. Infinity Journal, 8(1), 87-98. https://doi.org/10.22460/infinity.v8i1.p87-98

  33. Sagita, L., Setiyani, S., & Sumiarsih, S. (2021). Designing teaching materials based on process skills approach to mathematical representation ability in polyhedron. Journal of Physics: Conference Series, 1957(1), 012015. https://doi.org/10.1088/1742-6596/1957/1/012015

  34. Santia, I., Purwanto, P., Subanji, S., Sudirman, S., & Sutawidjadja, A. (2021). Characteristics of prospective student teacher’s representation in solving ill-well algebraic problems. Journal of Physics: Conference Series, 1779(1), 012001. https://doi.org/10.1088/1742-6596/1779/1/012001

  35. Sari, D. P., & Darhim, D. (2020). Implementation of REACT strategy to develop mathematical representation, reasoning, and disposition ability. Journal on Mathematics Education, 11(1), 145-156. https://doi.org/10.22342/jme.11.1.7806.145-156

  36. Sari, P. M., Herlina, K., & Abdurrahman, A. (2022). Online learning with multi-representation worksheets for oral and written communication skills on light reflecting material. Online Learning in Educational Research, 2(1), 49-56. https://doi.org/10.58524/oler.v2i1.122

  37. Saskiyah, S. A., & Putri, R. I. I. (2020). Mathematical representation on fraction operation for seventh-grade students using collaborative learning. Journal of Physics: Conference Series, 1663(1), 012001. https://doi.org/10.1088/1742-6596/1663/1/012001

  38. Septian, A., Darhim, D., & Prabawanto, S. (2020). Geogebra in integral areas to improve mathematical representation ability. Journal of Physics: Conference Series, 1613(1), 012035. https://doi.org/10.1088/1742-6596/1613/1/012035

  39. Sirajuddin, S., Sa'dijah, C., Parta, N., & Sukorıyanto, S. (2020). Multi-representation raised by prospective teachers in expressing algebra. Journal for the Education of Gifted Young Scientists, 8(2), 857-870. https://doi.org/10.17478/jegys.688710

  40. Sproesser, U., Vogel, M., Dörfler, T., & Eichler, A. (2022). Changing between representations of elementary functions: students’ competencies and differences with a specific perspective on school track and gender. International journal of STEM education, 9(1), 33. https://doi.org/10.1186/s40594-022-00350-2

  41. Suherman, S., Komarudin, K., & Supriadi, N. (2021). Mathematical creative thinking ability in online learning during the COVID-19 pandemic: A systematic review. Online Learning in Educational Research, 1(2), 75-80.

  42. Susilawati, W. (2020). Improving students’ mathematical representation ability through challenge-based learning with android applications. Journal of Physics: Conference Series, 1467(1), 012010. https://doi.org/10.1088/1742-6596/1467/1/012010

  43. Tamur, M., & Juandi, D. (2020). Effectiveness of constructivism based learning models against students mathematical creative thinking abilities in Indonesia: A meta-analysis study. Pervasive Health: Pervasive Computing Technologies for Healthcare, 1, 107-114. https://doi.org/10.4108/eai.12-10-2019.2296507

  44. Tamur, M., Ndiung, S., Weinhandl, R., Wijaya, T. T., Jehadus, E., & Sennen, E. (2023). Meta-analysis of computer-based mathematics learning in the last decade scopus database: Trends and implications. Infinity Journal, 12(1), 101-116. https://doi.org/10.22460/infinity.v12i1.p101-116

  45. Taqwa, M. R. A., & Rahim, H. F. (2022). Students’ conceptual understanding on vector topic in visual and mathematical representation: a comparative study. Journal of Physics: Conference Series, 2309(1), 012060. https://doi.org/10.1088/1742-6596/2309/1/012060

  46. Tytler, R., Prain, V., Kirk, M., Mulligan, J., Nielsen, C., Speldewinde, C., White, P., & Xu, L. (2023). Characterising a representation construction pedagogy for integrating science and mathematics in the primary school. International Journal of Science and Mathematics Education, 21(4), 1153-1175. https://doi.org/10.1007/s10763-022-10284-4

  47. Utomo, D. P., & Syarifah, D. L. (2021). Examining mathematical representation to solve problems in trends in mathematics and science study: Voices from Indonesian secondary school students. International Journal of Education in Mathematics, Science and Technology (IJEMST), 5(3), 540-556. https://doi.org/10.46328/ijemst.1685

  48. Villegas, J. L., Castro, E., & Gutiérrez, J. (2009). Representations in problem solving: A case study with optimization problems. Electronic Journal of Research in Educational Psychology, 7(1), 279-308.