Exploration and Measurement of Students' Critical Thinking Skills Through the ELPSA Model Integrated with Math City Map in Real Environments
DOI:
https://doi.org/10.62775/edukasia.v6i2.1735Keywords:
Critical Thinking Skills; ELPSA; Math City Map; Mixed Methods; Real Environment.Abstract
This study aims to explore and measure students' mathematical critical thinking skills through the ELPSA (Experience, Language, Pictorial, Symbolic, Application) learning model integrated with Math City Map (MCM). Using Mixed methods with a sequential explanatory design involving 130 MTsN students in Sarolangun Regency, who were divided into experimental and control classes. Quantitative data were collected through pretests and posttests, while qualitative data were gathered through observation, interviews, and field notes. Through the independent sample t-test, the posttest score of the experimental class (M = 65.68; SD = 14.231) was higher than the control class (M = 52.98; SD = 11.737) with a 2-tailed Sig. <0.001 and a large effect size (Cohen's d = 0.973). Qualitative analysis strengthens these findings by showing increased engagement, courage to express opinions, and students' ability to provide logical reasons. The synergy of ELPSA and MCM has been proven to provide contextual, interactive, and meaningful learning, thus encouraging students to be more active in critical thinking. Further research is recommended to expand the context and educational levels to assess the consistency of the ELPSA model integrated with Math City Map at various cognitive levels.
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Adams, J., Resnick, I., & Lowrie, T. (2023). Supporting Senior High-School Students’ Measurement and Geometry Performance: Does Spatial Training Transfer to Mathematics Achievement? Mathematics Education Research Journal, 35(4), 879–900. https://doi.org/10.1007/s13394-022-00416-y
Aini, N. R., Syafril, S., Netriwati, N., Pahrudin, A., Rahayu, T., & Puspasari, V. (2019). Problem-Based Learning for Critical Thinking Skills in Mathematics. Journal of Physics: Conference Series, 1155(1), 1–7. https://doi.org/10.1088/1742-6596/1155/1/012026
Ariosto, A., Ferrarelo, D., Mammana, M. F., & Taranto, E. (2021). Math City Map: Provide and Share Outdoor Modelling Tasks. An Experience with Children. AAPP Atti Della Accademia Peloritana Dei Pericolanti, Classe Di Scienze Fisiche, Matematiche e Naturali, 99(1), 1–21. https://doi.org/10.1478/AAPP.99S1A13
Artuz, J. K. A., & Roble, D. B. (2021). Developing Students’ Critical Thinking Skills in Mathematics Using Online-Process Oriented Guided Inquiry Learning (O-POGIL). American Journal of Educational Research, 9(7), 404–409. https://doi.org/10.12691/education-9-7-2
Bahmani, M., Chalak, A., & Heidari Tabrizi, H. (2021). The effect of evaluative language on high- and low-graded post-graduate students’ academic writing ability across gender. Cogent Education, 8(1). https://doi.org/10.1080/2331186X.2021.1905229
Barbosa, A., & Vale, I. (2023). Mobile Math Trails: An Experience in Teacher Training with Math City Map. Acta Scientiae, 25(6), 157–182. https://doi.org/10.17648/acta.scientiae.7597
Basri, H., Purwanto, As’ari, A. R., & Sisworo. (2019). Investigating Critical Thinking Skill of Junior High School in Solving Mathematical Problem. International Journal of Instruction, 12(3), 745–758. https://doi.org/10.29333/iji.2019.12345a
Bernadez, E. G. P., & Montero, J. M. (2025). Enhancing Student Performance in Mathematics Through Concrete-Representational-Abstract (CRA) Approach. International Journal of Science and Research Archive, 14(3), 1732–1738. https://doi.org/10.30574/ijsra.2025.14.3.0887
Cahyono, A. N., & Ludwig, M. (2019). Teaching and Learning Mathematics Around the City Supported by The Use of Digital technology. Eurasia Journal of Mathematics, Science and Technology Education, 15(1), 1–8. https://doi.org/10.29333/ejmste/99514
Creswell, J., & Creswell, D. (2018). Research Design: Qualitatif, Quantitative, and Mixed Methodes Approaches.
Creswell, J. W., & Clark, V. L. P. (2018). Designing and Conducting Mixed Methods Research (3rd ed.). SAGE.
Darhim, Prabawanto, S., & Susilo, B. E. (2020). The Effect of Problem-Based Learning and Mathematical Problem Posing in Improving Student’s Critical Thinking Skills. International Journal of Instruction, 13(4), 103–116. https://doi.org/10.29333/iji.2020.1347a
Denzin, N. K., & Lincoln, Y. S. (2018). The SAGE Handbook of Qualitative Research.
Febrilia, B. R. A., & Winarti, D. W. (2018). Deepening Students Understanding of Triangle Topic Through “Application” Component of ELPSA (Experience, Language, Pictorial, Symbol and Application) Framework. Journal of Physics: Conference Series, 1088, 1–6. https://doi.org/10.1088/1742-6596/1088/1/012085
Gyasi Alfred, B., Yarhands Dissou, A., & Benjamin Adu, O. (2024). Effects of Perceived Mathematics Connection on Mathematics Motivation: Mediating Role of History of Mathematics Concepts. International Journal of Mathematics and Mathematics Education, 2, 1–14. https://doi.org/10.56855/ijmme.v2i1.898
Husna, Ikhsan, M., & Yusrizal. (2020). Improving Mathematical Understanding and Motivation of Students Through Contextual Learning Approaches Using Autograph Software. International Journal of Academic Research in Business and Social Sciences, 10(6), 312–328. https://doi.org/10.6007/ijarbss/v10-i6/7289
Herwandi, & Kaharuddin, A. (2020). Exploration of the Influence of Learning ELPSA (Experiences, Language, Pictures, Symbols, and Applications) on the Understanding of Mathematical Concepts. In Indonesian Journal of Instructional Media and Model (Vol. 2, Issue 2). www.journal.univetbantara.ac.id/index.php/ijimm
Kania, N., & Bonyah, E. (2023). Analysis of Students’ Critical Thinking Skills Based on Prior Knowledge Mathematics. INTERNATIONAL JOURNAL OF CONTEMPORARY STUDIES IN EDUCATION, 2(1), 49–58. https://doi.org/10.30880/ijcse.v2i1.248
Kinasih, I. P., & Hardiani, N. (2020). Role Playing and the Changing of Teacher Understanding to Middle School Mathematics Lesson Planning within ELPSA Framework. Mathematics Education Journal, 14(2), 183–198. https://doi.org/10.22342/jpm.14.2.6647.183-198
Kusmayanti, R. (2022). Pemanfaatan Aplikasi Math City Map untuk Meningkatkan Kemampuan Berpikir Kritis dan Motivasi Belajar Peserta Didik. Journal of Educational Review and Research, 5(1), 30–37. https://doi.org/http://dx.doi.org/10.26737/jerr.v5i1.3288
Lowrie, T., & Patahudin. (2015). ELPSA As a Lesson Design Framework.
Ludwig, M., & Jablonski, S. (2019). Doing Math Modelling Outdoors-A Special Math Class Activity designed with Math City Map. 1–8. https://doi.org/10.4995/head19.2019.9583
Malaluan, J., & Andrade, R. (2023). Contextualized Question-Embedded Video-Based Teaching and Learning Tool: A Pathway in Improving Students’ Interest and Mathematical Critical Thinking Skills. International Journal of Science, Technology, Engineering and Mathematics, 3(2), 39–64. https://doi.org/10.53378/352990
Miles, M. B., & Huberman, A. M. (1994). Qualitative Data Analysis. SAGE Publications.
Monteleone, C., Miller, J., & Warren, E. (2023). Conceptualising Critical Mathematical Thinking in Young Students. Mathematics Education Research Journal, 35(2), 339–359. https://doi.org/10.1007/s13394-023-00445-1
Mullis, I. V. S., Martin, M., Foy, P., Kelly, D., & Fishbein, B. (2020). TIMSS 2019 International Results In Mathematics And Science. TIMSS and PIRLS International Study Center.
Muslim, R. I., Usodo, B., & Pratiwi, H. (2021). Pseudo Thinking Process in Understanding the Concept of Exponential Equations. IOP Conference Series: Earth and Environmental Science, 1808(1), 1–11. https://doi.org/10.1088/1742-6596/1808/1/012043
Nissa, I. C., Sanapiah, & Yuntawati. (2019). The Effect of the ELPSA Framework on Students’ Ability to Solve Function Problems. Journal of Physics: Conference Series, 1227(1), 1–14. https://doi.org/10.1088/1742-6596/1227/1/012020
Rafiepour, A., & Faramarzpour, N. (2023). Investigation of the mathematical connection’s ability of 9th grade students. Journal on Mathematics Education, 14(2), 339–352. https://doi.org/10.22342/jme.v14i2.pp339-352
Raj, T., Chauhan, P., Mehrotra, R., & Sharma, M. (2022). Importance of Critical Thinking in the Education. World Journal of English Language, 12(3), 126–133. https://doi.org/10.5430/wjel.v12n3p126
Rozalia, Johar, R., Duskri, M., Khairunnisak, C., & Zubaidah, T. (2020). Teacher’s Questions on Mathematics Learning Based on ELPSA Framework. Journal of Physics: Conference Series, 1470(1), 1–11. https://doi.org/10.1088/1742-6596/1470/1/012091
Setiawati, R. D., Sridana, N., & Hayati, L. (2021). Keefektifan Desain Pembelajaran ELPSA (Experiences, Language, Pictorial, Symbols, Application) Ditinjau dari Hasil Belajar Matematika Siswa Pada Materi Relasi dan Fungsi. Griya Journal of Mathematics Education and Application, 1(2), 176–186. https://mathjournal.unram.ac.id/index.php/Griya/indexGriya
Solichah, P., & Sari, D. A. (2023). Pembelajaran Learning Cycle 5E untuk Meningkatkan Kemampuan Berpikir Kritis Siswa SMP Kelas VIII. JURNAL PENDIDIKAN MIPA, 13(3), 596–602. https://doi.org/10.37630/jpm.v13i3.1117
Suningsih, A., Budayasa, I. K., & Ismail, I. (2025). Leveling of Critical Thinking Abilities of Junior High School Students in Solving Geometry Problems. TEM Journal, 14(1), 481–491. https://doi.org/10.18421/TEM141-43
Sunismi, S., & Fathani, A. H. (2017). Prototipe Model Collaborative Learning Matematika Melalui Media Blog dengan Interactive Digital Book Mata Kuliah Kalkulus II. Jurnal Fourier, 6(2), 69. https://doi.org/10.14421/fourier.2017.62.69-83
Suryawan, I. P. P., Sudiarta, I. G. P., & Suharta, I. G. P. (2023). Students’ Critical Thinking Skills in Solving Mathematical Problems: Systematic Literature Review. Indonesian Journal Of Educational Research and Review, 6(1), 120–133. https://doi.org/10.23887/ijerr.v6i1.56462
Susandi, A. D. (2021). Critical Thinking Skills of Students in Solving Mathematical Problem. Numerical: Jurnal Matematika Dan Pendidikan Matematika, 2, 115–128. https://doi.org/10.25217/numerical.v5i2.1865
Syafril, S., Aini, N. R., Netriwati, Pahrudin, A., Yaumas, N. E., & Engkizar. (2020). Spirit of Mathematics Critical Thinking Skills (CTS). Journal of Physics: Conference Series, 1467(1), 1–8. https://doi.org/10.1088/1742-6596/1467/1/012069
Tashakkori, A., & Creswell, J. W. (2007). Editorial: The New Era of Mixed Methods. In Journal of Mixed Methods Research (Vol. 1, Issue 1, pp. 3–7). https://doi.org/10.1177/2345678906293042
Tiyana, I. (2023). Analysis of Students’ Ability in Understanding Concepts, Memorizing Mathematical Formulas. In EDUCTUM: Journal Research (Vol. 2, Issue 6). https://doi.org/https://doi.org/10.56495/ejr.v2i6.461
Umam, A., Suparmi, & Sukarmin. (2020). Analysis of Critical Thinking Skill Profile on The Concept of Simple Harmonic Motion Using Two Tier Instrument Test. Journal of Physics: Conference Series, 1567(3), 1–4. https://doi.org/10.1088/1742-6596/1567/3/032085
Zamzam, K. F., & Agustin, R. D. (2024). Development of Teaching Modules in Improving Mathematical Critical Thinking Skills Based on Problem-Based Learning. Jurnal Pendidikan Dan Sains, 5(2), 291–299. https://doi.org/10.55210/al-fikru.v5i2.1883
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