Mathematical representation: A bibliometric mapping of the research literature (2013–2022)
##plugins.themes.bootstrap3.article.sidebar##
##plugins.themes.bootstrap3.article.main##
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.
##plugins.themes.bootstrap3.article.details##
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
The author is responsible for acquiring the permission(s) to reproduce any copyrighted figures, tables, data, or text that are being used in the submitted paper. Authors should note that text quotations of more than 250 words from a published or copyrighted work will require grant of permission from the original publisher to reprint. The written permission letter(s) must be submitted together with the manuscript.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