Examining the effectiveness of a GeoGebra-assisted open-ended approach on students’ mathematical creative thinking ability

Andini Dwi Rachmawati, Dadang Juandi, Darhim Darhim


Researchers use open-ended as a learning method to help students improve their math skills. Each open investigation of mathematical knowledge produces mixed results for components of mathematical ability, each school level, and the content taught. There are more and more studies on open-ended questions nowadays. This study tested the effectiveness of the open-ended approach assisted by GeoGebra on students' mathematical creative thinking abilities. The use of meta-analysis techniques is to analyze the effect (effect size) of a preliminary study. The instruments used were coding protocol sheets and coding sheets/Comprehensive Meta-Analysis (CMA) programs to analyze data. The resulting findings are that there are differences in the research method with the most significant effect size in the quasi-experimental research method, the research year with the most significant effect size in the 2012-2022 research year, indexing journals with the most significant effect size on web indexing scientific journals; the type of publication that has the most critical influence on the kind of thesis publication. Furthermore, the GeoGebra-assisted open-ended approach to creative thinking ability has no significant effect when viewed from the research characteristics of the sample size and level of education.


GeoGebra; meta-analysis; open-ended approach; mathematical creative thinking ability

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Bacanli, H., Dombayci, M. A., Demir, M., & Tarhan, S. (2011). Quadruple thinking: Creative thinking. Procedia - Social and Behavioral Sciences.

Borenstein, M., Hedges, L. V., Higgins, J. P. ., & Rothstein, H. R. (2009). Introduction to meta-analysis. In Leadership and Organizational Outcomes: Meta-Analysis of Empirical Studies (First). Wiley.

Cahyani, D. N., Syaban, M., & Ridha, M. R. (2019). Peningkatan kemampuan berpikir kreatif matematis melalui pembelajaran open-ended pada siswa SMP [Improving the ability to think creatively mathematically through open-ended learning in junior high school students]. Jurnal Pendidikan Dan Pembelajaran Matematika, 4(2), 78–86.

De Raadt, A., Warrens, M. J., Bosker, R. J., & Kiers, H. A. L. (2019). Kappa coefficients for missing data. Educational and Psychological Measurement, 79(3), 558–576.

Effect, T., Problem, O., Learning, B., The, W., Ended, O., & To, A. (2016). Pengaruh pembelajaran berbasis masalah dengan pendekatan open ended terhadap kemampuan berpikir kreatif matematik ditinjau dari kemandirian belajar siswa SMA [The influence of problem-based learning with an open-ended approach on creative mathematical thinking abilities in terms of the learning independence of high school students]. 117–128.

Fatah, A., Suryadi, D., Sabandar, J., & Turmudi, T. (2016). Open-ended approach: An effort in cultivating students’ mathematical creative thinking ability and self-esteem in mathematics. Journal on Mathematics Education, 7(1), 9–18.

Glass, G. V. (2015). Meta-analysis at middle age: A personal history. Research Synthesis Methods, 6(3), 221–231.

Gürdogan-Bayir, Ö., & Bozkurt, M. (2018). Effectiveness of cooperative learning approaches used in the course of social studies in Turkey: A meta-analysis study. European Journal of Educational Studies, 4(10), 171–192.

Haidich. (2010). Meta-analysis in medical research. HIPPOKRATIA, 14(1), 29–37.

Hohenwarter, M., & Fuchs, K. (2005). Combination of dynamic geometry, algebra and calculus in the software system GeoGebra. Computer Algebra Systems and Dynamic Geometry Systems in Mathematics Teaching Conference 2004, 2002(July), 1–6.

In’nami, Y., & Koizumi, R. (2009). A meta-analysis of test format effects on reading and listening test performance: Focus on multiple-choice and open-ended formats. Language Testing, 26(2), 219–244.

Jackson, D., & Turner, R. (2017). Power analysis for random-effects meta-analysis. Resarch Synthesis Methods, 8, 290-302 https://doi.org/10.1002/jrsm.1240

Juandi, D., Kusumah, Y. S., & Tamur, M. (2022). A meta-analysis of the last two decades of realistic mathematics education approaches. International Journal of Instruction, 15(1), 381–400.

Juandi, D., Kusumah, Y. S., Tamur, M., Perbowo, K. S., & Tanu, T. (2021). A meta-analysis of Geogebra software decade of assisted mathematics learning : what to learn and where to go ? Heliyon, 7(April).

Kot, M., Terzioglu, N. K., Aktas, B., & Yikmis, A. (2018). Effectiveness of touch math technique: Meta-analysis study. Online Submission, 3(4), 100–111.

Lee, Y. H. (2019). Strengths and limitations of meta-analyses. The Korean Journal of Medicine, 95(5).

Lestari, S. P., Muhandaz, R., & Risnawati, R. (2019). Pengaruh penerapan strategi metakognitif terhadap kemampuan komunikasi matematis berdasarkan kemandirian belajar siswa sekolah menengah pertama Pekanbaru [The effect of applying metacognitive strategies on mathematical communication skills based on the learning independence of Pekanbaru junior high school students]. JURING (Journal for Research in Mathematics Learning), 2(2), 171.

Magelo, C., Hulukati, E., & Djakaria, I. (2019). Pengaruh model pembelajaran open-ended terhadap kemampuan berpikir kreatif matematik ditinjau dari motivasi belajar [The influence of the open-ended learning model on creative mathematical thinking abilities in terms of learning motivation]. Jambura Journal of Mathematics, 2(1), 15–21.

Maharani, A. (2017). Analisis pengembangan soal tes evaluasi matematika berbasis kemampuan berpikir kreatif untuk siswa SMK pad materi geometri [Analysis of the development of mathematical evaluation test questions based on creative thinking skills for SMK students on geometry material]. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 6(3), 350-363.

Memon, M. A., Ting, H., Cheah, J.-H., Thurasamy, R., Chuah, F., & Cham, T. H. (2020). Sample size for survey research: Review and recommendations. Journal of Applied Structural Equation Modeling, 4(2), i–xx.

Moeyaert, M. (2019). Quantitative synthesis of research evidence: Multilevel meta-analysis. Behavioral Disorders, 44(4), 241–256.

Mullen, B., Muellerleile, P., & Bryant, B. (2001). Cumulative meta-analysis: A consideration of indicators of sufficiency and stability. Personality and Social Psychology Bulletin, 27(11), 1450–1462.

Oh-Young, C., Filler, J., & Buchter, J. (2020). The meta-analysis review: A valuable resource for special educators. Intervention in School and Clinic, 55(3), 139–144.

Puspitasari, L., In’am, A., & Syaifuddin, M. (2019). Analysis of students’ creative thinking in solving arithmetic problems. International Electronic Journal of Mathematics Education, 14(1), 49–60.

Sabrina, R. R., Iswari, M., & Yerizon. (2018). The influence of open-ended approach to mathematical creative thinking ability of 5th grade students elementary school in Padang. 2nd International Conference on Mathematics and Mathematics Education 2018, 285(Icm2e), 282–284.

Saefudin, A. A. (2012). Pengembangan kemampuan berpikir kreatif siswa dalam pembelajaran matematika dengan pendekatan pendidikan matematika realistik Indonesia (PMRI) [Developing students' creative thinking abilities in mathematics learning with the Indonesian realistic mathematics education (PMRI) approach]. Al-Bidāyah, 4(1), 37–48.

Shimada, S., & Becker, J. P. (2005). The open-ended approach: A new proposal for teaching mathematics. National Council of Teachers Of Mathematics.

Siddiq, F., & Scherer, R. (2019). Is there a gender gap? A meta-analysis of the gender differences in students’ ICT literacy. Educational Research Review, 27(June 2018), 205–217.

Siegel, L., Murad, M. H., & Chu, H. (2021). Estimating the reference range from a meta-analysis. Research Synthesis Methods, 12(2), 148–160.

Siraman, B., & Lee, K. H. (2011). The elements of creativity and giftedness in mathematics. Sense.

Siswanto, R. D., & Azhar, E. (2018). Workshop penerapan software GeoGebra sebagai media pembelajaran matematika untuk guru sekolah dasar Kelurahan Pademangan Barat [Workshop on implementing GeoGebra software as a mathematics learning medium for elementary school teachers in Pademangan Barat Village]. Publikasi Pendidikan, 8(3), 224-228.

Sowden, P. T., Pringle, A., & Gabora, L. (2015). The shifting sands of creative thinking: Connections to dual-process theory. Thinking and Reasoning, 21(1), 40–60.

Sugandi, A. I., & Bernard, M. (2020). Efektivitas pembelajaran daring berbasis masalah berbantuan GeoGebra terhadap kemampuan penalaran matematis di era COVID-19 [Effectiveness of problem-based online learning assisted by GeoGebra on mathematical reasoning abilities in the COVID-19 era]. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(4), 993–1004.

Sugandi, A. I., Sofyan, D., Maesaroh, S., Linda, & Sumarmo, U. (2015). Efektivitas pendekatan induktif deduktif berbantuan GeoGebra terhadap peningkatan kemampuan berpikir kreatif siswa pada masa pandemi [The effectiveness of the inductive deductive approach assisted by GeoGebra in increasing students' creative thinking abilities during the pandemic]. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(1), 367–376.

Sugianto, Hayati, F., & Junitasari. (2018). Analisis kemampuan berpikir kreatif matematis siswa SMP pada materi persamaan garis lurus [Analysis of junior high school students' mathematical creative thinking skills on straight line equations]. Pendidikan Tambunsai, 2(6), 1678–1686.

Sullivan, G. M., & Feinn, R. (2012). Using effect size—or why the p value is not enough. Journal of Graduate Medical Education, 4(3), 279–282.

Sunaryo, Y. (2014). Model pembelajaran berbasis masalah untuk meningkatkan kemampuan berpikir kritis dan kreatif matematik siswa SMA di Kota Tasikmalaya [Problem-based learning model to improve critical thinking skills and mathematical creative high school students in Tasikmalaya City]. Jurnal Pendidikan Dan Keguruan, 1(c), 41–51.

Suparman, S., Tamur, M., Yunita, Y., Wijaya, T. T., & Syaharuddin, S. (2021). Using problem-based learning to enhance mathematical abilities of primary school students: A systematic review and meta-analysis. JTAM (Jurnal Teori Dan Aplikasi Matematika), 5(1), 144-161.

Tamur, M., Jehadus, E., Nendi, F., Mandur, K., & Murni, V. (2020). Assessing the effectiveness of the contextual teaching and learning model on students’ mathematical understanding ability: A meta-analysis study. Journal of Physics: Conference Series, 1657(1).

Tamur, M., & Juandi, D. (2020). Effectiveness of constructivism based learning models against students mathematical creative thinking abilities in Indonesia; A meta-analysis study. Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019.

Wanelly, W., & Fauzan, A. (2020). Pengaruh pendekatan open ended dan gaya belajar siswa terhadap kemampuan berpikir kreatif matematis [The influence of the open ended approach and student learning styles on the ability to think creatively mathematically]. Jurnal Basicedu, 4(3), 523–533. https://doi.org/10.31004/basicedu.v4i3.388

Widiana, I. W., Bayu, G. W., & Jayanta, I. N. L. (2017). Pembelajaran berbasis otak (brain based learning), gaya kognitif kemampuan berpikir kreatif dan hasil belajar mahasiswa [Brain-based learning, cognitive styles, creative thinking abilities and student learning outcomes]. JPI (Jurnal Pendidikan Indonesia), 6(1), 1–15.

Yulianti, Y., Sumarmo, U., & ... (2020). Improving students mathematical critical thinking ability and self regulated learning using open-ended approach. Mathematics, 3(3), 133–144. https://www.journal.ikipsiliwangi.ac.id/index.php/jiml/article/view/5053

Yuniarti, Y., Kusumah, Y. S., Suryadi, D., & Bana, G. (2017). The effectiveness of open-ended problems based analytic-synthetic learning on the mathematical creative thinking ability of pre-service elementary school teachers. International Electronic Journal of Mathematics Education (IEJME-Mathematic Education).

DOI: https://doi.org/10.29408/jel.v9i2.16483


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