Main Article Content
Abstract
Mathematical representation ability is an essential skill for students to understand mathematical concepts. Many studies have been conducted regarding this ability, but it is necessary to map existing research to provide a clearer picture of future research topics. This study aims to provide a bibliometric review of trends using mathematical representation skills in mathematics teaching research. The method in this study is bibliometric analysis, which aims to analyze and classify bibliographic material by presenting representative summaries of the literature in the Scopus database. The search was carried out using the keyword "mathematical representation" and selecting "article title" in the search menu in the Scopus.com database. Perish or Publish (PoP) software analyzes the author's name, number of document citations, document title, year of publication, document source, publisher, and document type. The results showed 99 publications and 357 citations related to mathematical representations, where the number of publications and citations fluctuated. The application of learning models and approaches, computer media, and analysis of mathematical representations is a research trend related to this variable. Therefore, paying attention to mathematical representations in learning mathematics and using effective strategies to improve students' mathematical representation abilities is essential. The findings of this study indicate the need to develop syntax and learning media based on mathematical representations to strengthen students' mathematical abilities.
Keywords
Bibliometric study
Education
Mathematical representation
Scopus
VoS viewer
Article Details
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
References
- Abbas, A., Zhang, L., & Khan, S. U. (2014). A literature review on the state-of-the-art in patent analysis. World Patent Information, 37, 3-13. https://doi.org/10.1016/j.wpi.2013.12.006
- Abdullah, N., Zakaria, E., & Halim, L. (2012). The effect of a thinking strategy approach through visual representation on achievement and conceptual understanding in solving mathematical word problems. Asian Social Science, 8(16), 30-37. https://doi.org/10.5539/ass.v8n16p30
- Afifah, A. (2022). Mathematical reasoning based on gender: Mapping the literature by bibliometric analysis. IndoMath: Indonesia Mathematics Education, 5(2), 75-84.
- Ahmad, R. M., & Wilujeng, I. (2018). Web module with image and mathematical representation as a form of optimization ability of creative thinking and conceptual understanding. Journal of Physics: Conference Series, 1097(1), 012027. https://doi.org/10.1088/1742-6596/1097/1/012027
- Ahyan, S., Turmudi, T., & Juandi, D. (2021). Bibliometric analysis of research on mathematical literacy in Indonesia. Journal of Physics: Conference Series, 1869(1), 012120. https://doi.org/10.1088/1742-6596/1869/1/012120
- Batubara, I. H., Saragih, S., Syahputra, E., Armanto, D., Sari, I. P., Lubis, B. S., & Siregar, E. F. S. (2022). Mapping research developments on mathematics communication: bibliometric study by VosViewer. Al-Ishlah: Jurnal Pendidikan, 14(3), 2637-2648. https://doi.org/10.35445/alishlah.v14i3.925
- Bolden, D., Barmby, P., Raine, S., & Gardner, M. (2015). How young children view mathematical representations: A study using eye-tracking technology. Educational Research, 57(1), 59-79. https://doi.org/10.1080/00131881.2014.983718
- Callon, M. (1984). Some elements of a sociology of translation: Domestication of the scallops and the fishermen of St Brieuc Bay. The Sociological Review, 32(1_suppl), 196-233. https://doi.org/10.1111/j.1467-954X.1984.tb00113.x
- Chang, S. H., Lee, N. H., & Koay, P. L. (2017). Teaching and learning with concrete-pictorial-abstract sequence: A proposed model. The Mathematics Educator, 17(1), 1–28.
- Chen, Y., Sherren, K., Smit, M., & Lee, K. Y. (2023). Using social media images as data in social science research. New Media & Society, 25(4), 849-871. https://doi.org/10.1177/14614448211038761
- Çoban, H., & Tezci, E. (2022). Mathematical reasoning: Bibliometric analysis of the literature. OPUS Journal of Society Research, 19(45), 88-102. https://doi.org/10.26466/opusjsr.1062867
- Coesamin, M., Sutiarso, S., & Saputri, N. I. (2021). The relationship between emotional intelligence with student's mathematics representation ability. Technium Social Sciences Journal, 24, 65-73.
- Cooper, L. F. (2019). Digital technology: Impact and opportunities in dental education. Journal of Dental Education, 83(4), 379-380. https://doi.org/10.21815/JDE.019.042
- Darmayanti, R., Syaifuddin, M., Rizki, N., Sugianto, R., & Hasanah, N. (2022). High school students’ mathematical representation ability: Evaluation of disposition based on mastery learning assessment model (MLAM). Journal of Advanced Sciences and Mathematics Education, 2(1), 1-15.
- de Oliveira, O. J., da Silva, F. F., Juliani, F., Barbosa, L. C. F. M., & Nunhes, T. V. (2019). Bibliometric method for mapping the state-of-the-art and identifying research gaps and trends in literature: An essential instrument to support the development of scientific projects. In K. Suad & Z. Enver (Eds.), Scientometrics Recent Advances (pp. 47-66). IntechOpen. https://doi.org/10.5772/intechopen.85856
- Diaz-Nunez, C., Sanchez-Cochachin, G., Ricra-Chauca, Y., & Andrade-Arenas, L. (2021). Impact of mobile applications for a lima university in pandemic. International Journal of Advanced Computer Science and Applications, 12(2), 752-758. https://doi.org/10.14569/IJACSA.2021.0120294
- Donthu, N., Kumar, S., Mukherjee, D., Pandey, N., & Lim, W. M. (2021). How to conduct a bibliometric analysis: An overview and guidelines. Journal of business research, 133, 285-296. https://doi.org/10.1016/j.jbusres.2021.04.070
- Donthu, N., Kumar, S., & Pattnaik, D. (2020). Forty-five years of Journal of Business Research: A bibliometric analysis. Journal of business research, 109, 1-14. https://doi.org/10.1016/j.jbusres.2019.10.039
- Duval, R. (2017). Understanding the mathematical way of thinking-The registers of semiotic representations. Springer. https://doi.org/10.1007/978-3-319-56910-9
- Earnest, D. (2015). From number lines to graphs in the coordinate plane: Investigating problem solving across mathematical representations. Cognition and Instruction, 33(1), 46-87. https://doi.org/10.1080/07370008.2014.994634
- Evendi, E. (2022). Mathematical thinking styles and its implications in science learning: A bibliometric analysis. Jurnal Penelitian Pendidikan IPA, 8(3), 1503-1511. https://doi.org/10.29303/jppipa.v8i3.1720
- Farokhah, L., Herman, T., & Jupri, A. (2019). Students’ ability of mathematical representation on statistics topic in elementary school. Journal of Physics: Conference Series, 1157(3), 032110. https://doi.org/10.1088/1742-6596/1157/3/032110
- Fauzan, A., & Diana, F. (2020). Learning trajectory for teaching number patterns using RME approach in junior high schools. Journal of Physics: Conference Series, 1470(1), 012019. https://doi.org/10.1088/1742-6596/1470/1/012019
- Fitriani, N., Safuni, N., & Zulkarnain, S. I. (2021). The perspective of student of the university towards education policy during covid-19 pandemic. Jurnal Transformasi Administrasi, 11(02), 175-184. https://doi.org/10.56196/jta.v11i02.194
- Fuad, M., Suyanto, E., Sumarno, S., Muhammad, U. A., & Suparman, S. (2022). A bibliometric analysis of technology-based foreign language learning during the COVID-19 pandemic: Direction for Indonesia language learning. International Journal of Information and Education Technology, 12(10), 983-995. https://doi.org/10.18178/ijiet.2022.12.10.1710
- Fuadi, D. S., Suparman, S., Juandi, D., & Martadiputra, B. A. P. (2022). Technology-assisted problem-based learning against common problem-based learning in cultivating mathematical critical thinking skills: A meta-analysis Proceedings of the 2021 4th International Conference on Education Technology Management, Tokyo, Japan. https://doi.org/10.1145/3510309.3510335
- Hanifah, H., Waluya, S. B., Rochmad, R., & Wardono, W. (2020). Mathematical representation ability and self-efficacy. Journal of Physics: Conference Series, 1613(1), 012062. https://doi.org/10.1088/1742-6596/1613/1/012062
- Haryanti, N., Wilujeng, I., & Sundari, S. (2020). Problem based learning instruction assisted by e-book to improve mathematical representation ability and curiosity attitudes on optical devices. Journal of Physics: Conference Series, 1440(1), 012045. https://doi.org/10.1088/1742-6596/1440/1/012045
- Hebert, M. A., & Powell, S. R. (2016). Examining fourth-grade mathematics writing: features of organization, mathematics vocabulary, and mathematical representations. Reading and Writing, 29(7), 1511-1537. https://doi.org/10.1007/s11145-016-9649-5
- Hegarty, M., & Kozhevnikov, M. (1999). Types of visual–spatial representations and mathematical problem solving. Journal of Educational Psychology, 91(4), 684-689. https://doi.org/10.1037/0022-0663.91.4.684
- Helsa, Y., Suparman, S., Juandi, D., Turmudi, T., & Ghazali, M. B. (2023). A meta-analysis of the utilization of computer technology in enhancing computational thinking skills: Direction for mathematics learning. International Journal of Instruction, 16(2), 735-758. https://doi.org/10.29333/iji.2023.16239a
- Ikeziri, L. M., de Souza, F. B., Gupta, M. C., & de Camargo Fiorini, P. (2019). Theory of constraints: review and bibliometric analysis. International Journal of Production Research, 57(15-16), 5068-5102. https://doi.org/10.1080/00207543.2018.1518602
- Imama, K., & Caswita, C. (2023). An analysis of mathematical representation ability middle school students on concept congruence on learning style. Al-Jabar: Jurnal Pendidikan Matematika, 14(1), 153-163.
- Isyam, Y. A. N., & Hidayati, K. (2022). Students’ mathematical representation in solving mathematical problems. AIP Conference Proceedings, 2575(1). https://doi.org/10.1063/5.0108386
- Jaya, A., & Suparman, S. (2022). The use of CABRI software in mathematics learning for cultivating geometrical conceptual understanding: A meta-analysis Proceedings of the 2021 4th International Conference on Education Technology Management, Tokyo, Japan. https://doi.org/10.1145/3510309.3510316
- Jitendra, A. K., Nelson, G., Pulles, S. M., Kiss, A. J., & Houseworth, J. (2016). Is mathematical representation of problems an evidence-based strategy for students with mathematics difficulties? Exceptional Children, 83(1), 8-25. https://doi.org/10.1177/0014402915625062
- Juandi, D., Suparman, S., Martadiputra, B. A. P., Tamur, M., & Hasanah, A. (2022). Does mathematics domain cause the heterogeneity of students’ mathematical critical thinking skills through problem-based learning? A meta-analysis. AIP Conference Proceedings, 2468(1), 070028. https://doi.org/10.1063/5.0102714
- Kornia, E., Komikesari, H., & Saregar, A. (2022). Trends, challenges, and opportunities for massive open online courses (MOOCs) as the future of education in science learningTrends, challenges and opportunities for massive open online courses (MOOCs) as mass education front in learning science. Journal of Advanced Sciences and Mathematics Education, 2(1), 39-48. https://doi.org/10.58524/jasme.v2i1.109
- Kurniawan, H., & Kuswanto, H. (2021). Improving students’ mathematical representation of physics and critical thinking abilities using the CAKA mobile media based on local wisdom. International Association of Online Engineering. https://www.learntechlib.org/p/218914
- Loc, N. P., & Phuong, N. T. (2019). Mathematical representations: A study in solving mathematical word problems at grade 5–Vietnam. International Journal of Scientific & Technology Research, 8(10), 1876-1881.
- Mainali, B. (2021). Representation in teaching and learning mathematics. International Journal of Education in Mathematics, Science and Technology, 9(1), 1-21. https://doi.org/10.46328/ijemst.1111
- Muhammad, U. A., Fuad, M., Ariyani, F., & Suyanto, E. (2022). Bibliometric analysis of local wisdom-based learning: Direction for future history education research. International Journal of Evaluation and Research in Education (IJERE), 11(4), 2209-2222. https://doi.org/10.11591/ijere.v11i4.23547
- Mulyono, O. C. F., Sunardi, S., & Slamin, S. (2020). The profile of students’ mathematical representation in constructing line equation concept. Journal of Physics: Conference Series, 1465(1), 012048. https://doi.org/10.1088/1742-6596/1465/1/012048
- Muntazhimah, M., Turmudi, T., Prabawanto, S., Anwar, A., & Wahyuni, R. (2022). Bibliometric analysis of mathematics reflective thinking based on scopus database. European Online Journal of Natural and Social Sciences, 11(4), 1132-1143.
- National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. National Council of Teachers of Mathematics.
- Ngo, J., & Ngadiman, A. (2019). The impacts of edmodo on students’ performance in ESP classrooms. KnE Social Sciences, 3(10), 369–378. https://doi.org/10.18502/kss.v3i10.3918
- Nie, B.-D., & Cao, B.-Y. (2019). Three mathematical representations and an improved ADI method for hyperbolic heat conduction. International Journal of Heat and Mass Transfer, 135, 974-984. https://doi.org/10.1016/j.ijheatmasstransfer.2019.02.026
- Nirawati, R., Juandi, D., Fatimah, S., Irma, A., & Andriani, L. (2020). Mathematical representation ability of prospective student teacher in resolving transformation geometry problems reviewed in epistemology aspect. IOP Conference Series: Earth and Environmental Science, 485(1), 012068. https://doi.org/10.1088/1755-1315/485/1/012068
- Noto, M. S., Hartono, W., & Sundawan, D. (2016). Analysis of students mathematical representation and connection on analytical geometry subject. Infinity Journal, 5(2), 99-108. https://doi.org/10.22460/infinity.v5i2.p99-108
- Nurlisna, N., Anwar, A., & Subianto, M. (2020). Development of student worksheet to improve mathematical representation ability using realistic mathematics approach assisted by GeoGebra software. Journal of Physics: Conference Series, 1460(1), 012041. https://doi.org/10.1088/1742-6596/1460/1/012041
- Park, E.-J., & Choi, K. (2013). Analysis of student understanding of science concepts including mathematical representations: pH values and the relative differences of pH values. International Journal of Science and Mathematics Education, 11(3), 683-706. https://doi.org/10.1007/s10763-012-9359-7
- Pedersen, J. B., & Welch, P. H. (2018). The symbiosis of concurrency and verification: teaching and case studies. Formal Aspects of Computing, 30(2), 239-277. https://doi.org/10.1007/s00165-017-0447-x
- Priyadi, A. N. W., Kuswanto, H., & Sumarna, S. (2020). Android physics comics to train the mathematical representation ability on momentum and impulse of senior high school students. Journal of Physics: Conference Series, 1440(1), 012041. https://doi.org/10.1088/1742-6596/1440/1/012041
- Putra, F. G., Meriyati, M., Safitri, V. I., Nursa’idah, W., Putri, D., Mistasari, N., Isnaini, M., Widyawati, S., & Putra, R. W. Y. (2021). The influence of student facilitator and explaining (SFAE) learning model viewed from social skills in improving students’ mathematical representation ability. Journal of Physics: Conference Series, 1796(1), 012074. https://doi.org/10.1088/1742-6596/1796/1/012074
- Putra, I. S., Masriyah, M., & Sulaiman, R. (2018). Students’ translation ability of mathematical representations (symbolic and visual) based on their learning styles. Journal of Physics: Conference Series, 1108(1), 012079. https://doi.org/10.1088/1742-6596/1108/1/012079
- 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
- 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
- Safitri, G., Darhim, D., & Dasari, D. (2023). Student’s obstacles in learning surface area and volume of a rectangular prism related to mathematical representation ability. Al-Jabar: Jurnal Pendidikan Matematika, 14(1), 55-69.
- Samsuddin, A. F., & Retnawati, H. (2018). Mathematical representation: the roles, challenges and implication on instruction. Journal of Physics: Conference Series, 1097(1), 012152. https://doi.org/10.1088/1742-6596/1097/1/012152
- Santia, I., Purwanto, P., Sutawidjadja, A., Sudirman, S., & Subanji, S. (2019). Exploring mathematical representations in solving ill-structured problems: The case of quadratic function. Journal on Mathematics Education, 10(3), 365-378. https://doi.org/10.22342/jme.10.3.7600.365-378
- Saregar, A., Sunyono, S., Haenilah, E. Y., Hariri, H., Putra, F. G., Diani, R., Misbah, M., & Umam, R. (2022). Natural disaster education in school: A bibliometric analysis with a detailed future insight overview. International Journal of Educational Methodology, 8(4), 743-757. https://doi.org/10.12973/ijem.8.4.743
- Sari, E. P., & Karyati, K. (2022). CORE learning model (connecting, organizing, reflecting & extending) to improve mathematical representation ability. AIP Conference Proceedings, 2575(1). https://doi.org/10.1063/5.0110217
- Sari, F. P., Nikmah, S., Kuswanto, H., & Wardani, R. (2020). Development of physics comic based on local wisdom: Hopscotch (engklek) game android-assisted to improve mathematical representation ability and creative thinking of high school students. Revista Mexicana de Fisica E, 17(2), 255-262. https://doi.org/10.31349/RevMexFisE.17.255
- Septian, A., Darhim, D., & Prabawanto, S. (2020). Mathematical representation ability through geogebra-assisted project-based learning models. Journal of Physics: Conference Series, 1657(1), 012019. https://doi.org/10.1088/1742-6596/1657/1/012019
- Septian, A., Suwarman, R. F., Monariska, E., & Sugiarni, R. (2020). Somatic, auditory, visualization, intellectually learning assisted by GeoGebra to improve student’s mathematical representation skills. Journal of Physics: Conference Series, 1657(1), 012023. https://doi.org/10.1088/1742-6596/1657/1/012023
- Setiyadi, A., Darma, R. S., Wilujeng, I., Jumadi, J., & Kuswanto, H. (2019). Mathematical representations mapping of high school students after using multimedia learning modules assisted by an android smartphone. Journal of Physics: Conference Series, 1233(1), 012049. https://doi.org/10.1088/1742-6596/1233/1/012049
- Shaghaghian, Z., Burte, H., Song, D., & Yan, W. (2022, 12-16 March 2022). Design and evaluation of an augmented reality app for learning spatial transformations and their mathematical representations 2022 IEEE Conference on Virtual Reality and 3D User Interfaces Abstracts and Workshops (VRW),
- Sreylak, O., Sampouw, F., Saputro, T. V. D., & Lumbantobing, W. L. (2022). Mathematics concept in elementary school: A bibliometric analysis. Journal of Educational Learning and Innovation (ELIa), 2(2), 268-278. https://doi.org/10.46229/elia.v2i2.512
- Sternitzke, C., Bartkowski, A., & Schramm, R. (2008). Visualizing patent statistics by means of social network analysis tools. World Patent Information, 30(2), 115-131. https://doi.org/10.1016/j.wpi.2007.08.003
- Sulistiawati, S., Kusumah, Y. S., Dahlan, J. A., Juandi, D., Suparman, S., & Arifin, S. (2022). The trends of studies in technology-assisted inquiry-based learning: The perspective of bibliometric analysis. Journal of Engineering Science and Technology, 18(1), 69-80.
- Supandi, S., Waluya, S. B., Rochmad, R., Suyitno, H., & Dewi, K. (2018). Think-talk-write model for improving students' abilities in mathematical representation. International Journal of Instruction, 11(3), 77-90. https://doi.org/10.12973/iji.2018.1136a
- Suparman, S., & Juandi, D. (2022). Self-efficacy and mathematical ability: A meta-analysis of studies conducted in Indonesia. Pedagogika, 147(3), 26-57. https://doi.org/10.15823/p.2022.147.2
- Suparman, S., & Juandi, D. (2022). Upgrading mathematical problem-solving abilities through problem-based learning: A meta-analysis study in some countries. AIP Conference Proceedings, 2575(1). https://doi.org/10.1063/5.0107757
- Suparman, S., Juandi, D., Martadiputra, B. A. P., Badawi, A., Susanti, N., & Yunita, Y. (2022). Cultivating secondary school students’ mathematical critical thinking skills using technology-assisted problem-based learning: A meta-analysis. AIP Conference Proceedings, 2468(1). https://doi.org/10.1063/5.0102422
- Supriyadi, E. (2022). A bibliometrics analysis on mathematical thinking in Indonesia from scopus online database with affiliation from Indonesia. Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika, 4(1), 82-98. https://doi.org/10.35316/alifmatika.2022.v4i1.82-98
- Suseelan, M., Chew, C. M., & Chin, H. (2022). Research on mathematics problem solving in elementary education conducted from 1969 to 2021: A bibliometric review. International Journal of Education in Mathematics, Science and Technology, 10(4), 1003-1029. https://doi.org/10.46328/ijemst.2198
- 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
- Umbara, U., Munir, M., Susilana, R., & Puadi, E. F. W. (2020). Increase representation in mathematics classes: Effects of computer assisted instruction development with hippo animator. International Electronic Journal of Mathematics Education, 15(2), em0567. https://doi.org/10.29333/iejme/6262
- Widada, W., Herawaty, D., Jumri, R., Zulfadli, Z., & Damara, B. E. P. (2019). The influence of the inquiry learning model and the Bengkulu ethnomathematics toward the ability of mathematical representation. Journal of Physics: Conference Series, 1318(1), 012085. https://doi.org/10.1088/1742-6596/1318/1/012085
- Widada, W., Nugroho, K. U. Z., Sari, W. P., & Pambudi, G. A. (2019). The ability of mathematical representation through realistic mathematics learning based on ethnomathematics. Journal of Physics: Conference Series, 1318(1), 012073. https://doi.org/10.1088/1742-6596/1318/1/012073
- Widakdo, W. A. (2017). Mathematical representation ability by using project based learning on the topic of statistics. Journal of Physics: Conference Series, 895(1), 012055. https://doi.org/10.1088/1742-6596/895/1/012055
- Wijayanti, K., Budhiati, R., Dewi, N. R., & Ali, A. M. (2020). The effectiveness of innovative learning model on the mathematical representation ability of students in junior high school. Journal of Physics: Conference Series, 1567(2), 022103. https://doi.org/10.1088/1742-6596/1567/2/022103
- Wulandari, W., Hariadi, M. H., Jumadi, J., Wilujeng, I., & Kuswanto, H. (2019). Improving mathematical representation ability of student’s senior high school by inquiry training model with google classroom. Journal of Physics: Conference Series, 1233(1), 012043. https://doi.org/10.1088/1742-6596/1233/1/012043
- Yani, N. F., & Soebagyo, J. (2023). Bibliometric analysis of mathematical communication skills using scopus database. Jurnal Pendidikan Matematika dan IPA, 14(1), 57-68. https://doi.org/10.26418/jpmipa.v14i1.53902
- Yuanita, P., Zulnaidi, H., & Zakaria, E. (2018). The effectiveness of Realistic Mathematics Education approach: The role of mathematical representation as mediator between mathematical belief and problem solving. PLoS One, 13(9), e0204847. https://doi.org/10.1371/journal.pone.0204847
- Zhang, J., Xu, P.-D., & Wang, F.-Y. (2020). Parallel systems and digital twins: A data-driven mathematical representation and computational framework. Acta Automatica Sinica, 46(7), 1346-1356.
- Zhu, J., & Liu, W. (2020). A tale of two databases: The use of web of science and scopus in academic papers. Scientometrics, 123(1), 321-335. https://doi.org/10.1007/s11192-020-03387-8