Mathematical Critical Thinking and Learning Experiences of Junior High School Students: A Preliminary Needs Assessment for FJIMEC–GeoGebra–Scratch Model Development
DOI:
https://doi.org/10.33394/j-ps.v14i3.20378Keywords:
Mathematical critical thinking, GeoGebra, FJIMEC model, Mathematics learning experienceAbstract
Despite decades of curriculum reform, persistent gaps in Indonesian mathematics education remain. Students are taught mathematics formally, yet consistently fail to demonstrate higher-order reasoning abilities. Both national and international assessments confirm that mathematical critical thinking skills encompassing the ability to evaluate arguments, investigate claims, and draw logical conclusions remain a critical weakness, particularly at the junior high school level. This situation is further compounded by the minimal use of digital technologies such as GeoGebra and Scratch in everyday classroom instruction. This study conducted a preliminary investigation into the mathematical critical thinking abilities and mathematics learning experiences of Grade VIII students in Cirebon Regency (West Java) and Pamekasan Regency (East Java), serving as the empirical foundation for the development of the FJIMEC (Focusing, Justifying, Investigating, Messaging, Evaluating, Concluding) instructional model integrated with GeoGebra and Scratch. Using a convergent parallel mixed-methods design, the study involved 128 students and four mathematics teachers. The critical thinking test results were concerning: mean scores of 41.2 for Cirebon and 39.8 for Pamekasan, with 84.4% of students falling in the low category. The weakest indicators were Evaluating and Concluding. The Mann-Whitney U test revealed no significant between-region difference (p = 0.412), indicating a systemic deficit. Questionnaire analysis revealed low technology utilization (M = 2.43/5.00) and high mathematics anxiety. These findings provide preliminary empirical support for developing a FJIMEC–GeoGebra–Scratch instructional model.
References
Alfayez, M. Q. E., Aladwan, S. Q. A., & Shaheen, H. R. A. (2022). The effect of a training program based on mathematical problem-solving strategies on critical thinking among seventh-grade students. Frontiers in Education, 7, Article 870524. https://doi.org/10.3389/feduc.2022.870524
Antonio, R. P., & Prudente, M. S. (2024). Effects of inquiry-based approaches on students' higher-order thinking skills in science: A meta-analysis. International Journal of Education in Mathematics, Science, and Technology (IJEMST), 12(1), 251–281. https://doi.org/10.46328/ijemst.3216
Arifin, Z., Sukarmin, Saputro, S., & Kamari, A. (2025). The effect of inquiry-based learning on students' critical thinking skills in science education: A systematic review and meta-analysis. Eurasia Journal of Mathematics, Science and Technology Education, 21(3), em2592. https://doi.org/10.29333/ejmste/15988
Braun, V., & Clarke, V. (2006). Using thematic analysis in psychology. Qualitative Research in Psychology, 3(2), 77–101. https://doi.org/10.1191/1478088706qp063oa
Caviola, S., Toffalini, E., Giofrè, D., Ruiz, J. M., Szűcs, D., & Mammarella, I. C. (2022). Math performance and academic anxiety forms, from sociodemographic to cognitive aspects: A meta-analysis on 906,311 participants. Educational Psychology Review, 34(1), 363–399. https://doi.org/10.1007/s10648-021-09618-5
Creswell, J. W., & Plano Clark, V. L. (2018). Designing and conducting mixed methods research (3rd ed.). SAGE Publications.
Cuder, A., Živković, M., Doz, E., Pellizzoni, S., & Passolunghi, M. C. (2023). The relationship between math anxiety and math performance: The moderating role of visuospatial working memory. Journal of Experimental Child Psychology, 233, Article 105688. https://doi.org/10.1016/j.jecp.2023.105688
Dolapcioglu, S., & Doğanay, A. (2022). Development of critical thinking in mathematics classes via authentic learning: An action research. International Journal of Mathematical Education in Science and Technology, 53(6), 1363–1386. https://doi.org/10.1080/0020739X.2020.1819573
Duru, D. C., & Obasi, C. V. (2023). Critical thinking ability as a correlate of students' mathematics achievement: A focus on ability level. Journal of Instructional Mathematics, 4(1), 41–51. https://doi.org/10.37648/jim.v4i1.1753
Fang, X., Ng, D. T. K., Tam, W. T., & Yuen, M. (2023). Integrating computational thinking into primary mathematics: A case study of fraction lessons with Scratch programming activities. Asian Journal for Mathematics Education, 2(2), 220–239. https://doi.org/10.1177/27527263231181963
Fang, X., Ng, D. T. K., & Yuen, M. (2024). Effects of GeoGebra-enhanced Scratch computational thinking instruction on fifth-grade students' motivation, anxiety, cognitive load. Education and Information Technologies, 30(1), 377–402. https://doi.org/10.1007/s10639-024-13052-9
Gurmu, F., Tuge, C., & Hunde, A. B. (2024). Effects of GeoGebra-assisted instructional methods on students' conceptual understanding of geometry. Cogent Education, 11(1), Article 2379745. https://doi.org/10.1080/2331186X.2024.2379745
Hadi, H., Wahyudin, W., & Usdiyana, D. (2024). Improving mathematical communication skills through the GeoGebra-helped PBL and direct instruction reviewed from the level of learning independence. Prisma Sains: Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram, 12(1), 71–85. https://doi.org/10.33394/j-ps.v12i1.9689
Ji, Z., Guo, K., & Song, S. (2024). Effects of dynamic mathematical software on students' performance: A three-level meta-analysis. Journal of Educational Computing Research, 62(4), 1035–1060. https://doi.org/10.1177/07356331241226594
Jiménez Sierra, Á. A., Ortega Iglesias, J. M., Cabero-Almenara, J., & Palacios-Rodríguez, A. (2023). Development of the teacher's technological pedagogical content knowledge (TPACK) from the Lesson Study: A systematic review. Frontiers in Education, 8, Article 1078913. https://doi.org/10.3389/feduc.2023.1078913
Kartal, B., & Çınar, C. (2022). Preservice mathematics teachers' TPACK development when they are teaching polygons with GeoGebra. International Journal of Mathematical Education in Science and Technology, 55(5), 1171–1203. https://doi.org/10.1080/0020739X.2022.2052197
Marbán, J. M., Arnal-Palacián, M., & Lasa, A. (2025). Exploring teachers' pedagogical reasoning in mathematics education using the TPACK framework. Frontiers in Education, 10, Article 1552760. https://doi.org/10.3389/feduc.2025.1552760
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
Negara, H. R. P., Wahyudin, W., Nurlaelah, E., & Herman, T. (2022). Improving students' mathematical reasoning abilities through social cognitive learning using GeoGebra. International Journal of Emerging Technologies in Learning (iJET), 17(18), 118–135. https://doi.org/10.3991/ijet.v17i18.32151
Nurhikmayati, I., Priatna, N., Dahlan, J. A., & Minasyan, S. (2024). An ex post facto study of critical thinking skills in mathematics learning based on school geography. Al-Jabar: Jurnal Pendidikan Matematika, 15(1), 15–31. https://doi.org/10.24042/ajpm.v15i1.19330
OECD. (2023). PISA 2022 results (Volume I): The state of learning and equity in education. OECD Publishing. https://doi.org/10.1787/53f23881-en
Ode Samura, A., & Darhim. (2023). Improving mathematics critical thinking skills of junior high school students using blended learning model (BLM) in GeoGebra assisted mathematics learning. International Journal of Interactive Mobile Technologies (iJIM), 17(02), 101–117. https://doi.org/10.3991/ijim.v17i02.36097
Pérez-Jorge, D., & Martínez-Murciano, A. (2022). Digital tools in higher education: Assessment of the Scratch and App Inventor proposals. Education Sciences, 12(4), Article 256. https://doi.org/10.3390/educsci12040256
Putri, A., Nusantara, T., Purwanto, & As'ari, A. R. (2025). The contribution of critical thinking skills in rich mathematical problem completion: Insights from pre-service mathematics teachers. Eurasia Journal of Mathematics, Science and Technology Education, 21(2), em2581. https://doi.org/10.29333/ejmste/15931
Siahaan, E. Y. S., Muhammad, I., & Dasari, D. (2023). Trend of critical thinking skill researches in mathematics education in Scopus database across Indonesia: From research design to data analysis. International Journal of Trends in Mathematics Education Research, 6(2), 151–161. https://doi.org/10.33122/ijtmer.v6i2.216
Siswanto, D. H., Tanikawa, K., Alghiffari, E. K., Limori, M., & Aprilia, D. D. (2024). A systematic review: Use of GeoGebra in mathematics learning at junior high school in Indonesia and Japan. Jurnal Pendidikan Matematika (Kudus), 7(1), 1–20. https://doi.org/10.21043/jpmk.v7i1.26201
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
Sutama, S., Fuadi, D., Narimo, S., Hafida, S. H. N., Novitasari, M., Anif, S., Prayitno, H. J., Sunanih, S., & Adnan, M. (2022). Collaborative mathematics learning management: Critical thinking skills in problem solving. International Journal of Evaluation and Research in Education (IJERE), 11(3), 1015–1027. https://doi.org/10.11591/ijere.v11i3.22193
Tursynkulova, E., Madiyarov, N., Sultanbek, T., & Duysebayeva, P. (2023). The effect of problem-based learning on cognitive skills in solving geometric construction problems: A case study in Kazakhstan. Frontiers in Education, 8, Article 1284305. https://doi.org/10.3389/feduc.2023.1284305
Wang, Q., & Abdullah, A. H. (2024). Enhancing students' critical thinking through mathematics in higher education: A systemic review. SAGE Open, 14(3), 1–15. https://doi.org/10.1177/21582440241275651
Witarsa, R., & Muhammad S. (2023). Critical thinking as a necessity for social science students capacity development: How it can be strengthened through project based learning at university. Frontiers in Education, 7, Article 983292. https://doi.org/10.3389/feduc.2022.983292
Wulandari, M. R., Hidayanto, E., & Kusumasari, V. (2025). Critical thinking skills of junior high school students in solving geometry problems. Jurnal Gantang, 10(1), 144–154. https://doi.org/10.31629/jg.v10i1.7197
Ye, H., Liang, B., Ng, O. L., & Chai, C. S. (2023). Integration of computational thinking in K-12 mathematics education: A systematic review on CT-based mathematics instruction and student learning. International Journal of STEM Education, 10(1), Article 3. https://doi.org/10.1186/s40594-023-00396-w
Yohannes, A., & Chen, H. L. (2023). GeoGebra in mathematics education: A systematic review of journal articles published from 2010 to 2020. Interactive Learning Environments, 31(9), 5682–5697. https://doi.org/10.1080/10494820.2021.2016861
Yohannes, A., & Chen, H. L. (2024). The effect of flipped realistic mathematics education on students' achievement, mathematics self-efficacy and critical thinking tendency. Education and Information Technologies, 29, 16177–16203. https://doi.org/10.1007/s10639-024-12502-8
Zhang, L., & Ma, Y. (2023). A study of the impact of project-based learning on student learning effects: A meta-analysis study. Frontiers in Psychology, 14, Article 1202728. https://doi.org/10.3389/fpsyg.2023.1202728
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