The Effect of Geogebra-Assisted Problem Solving on Mathematical Thinking Ability Reviewed from Self Efficacy
Keywords:
Problem Solving; mathematical thinking, self efficacy
Abstract
Mathematical thinking is the ability to identify real-world phenomena in order to provide practical solutions to the problems under study. Previous research has aimed to analyze students’ mathematical thinking abilities in relation to their levels of self-efficacy. This study aims to investigate the impact of the Geogebra-assisted Problem Solving (PS) Learning Model on the mathematical thinking skills of elementary school students. An experimental method with a posttest-only control group design was used, employing Cluster Random Sampling to select a sample of 100 students. The research instrument consisted of a mathematical thinking ability test, which was analyzed using a two-way ANOVA with Jamovi software. The ANOVA results showed a significant difference in mathematical thinking ability between the experimental group and the control group. The findings indicate that the Geogebra-assisted Problem Solving model significantly improves the mathematical thinking ability of elementary school students, proving to be more effective than the expository model.
References
Abidin, Z., Herman, T., Wahyudin, W., Wiryanto, W., Farokhah, L., & Penehafo, A. E. (2024). How to Count Speed? Utilizing Android Applications to Support a Concept Attainment Model to Help Mathematical Thinking Skills. ASEAN Journal of Science and Engineering, 4(2), 295–316. https://doi.org/10.17509/ajse.v4i2.72528
Bandura, A. (1997). Self-Efficacy: The Exercise of Control. W.H. Freeman. https://doi.org/10.1177/0032885512472964
Campbell, D. T., & Stanley, J. C. (1963). Experimental and Quasi-Experimental Designs for Research. Rand McNally College Publishing Company.
Creswell, J. W., & Cresswell, J. D. (2023). Research Design: Qualitative, quantitative and mixed methods approaches. In SAGE Publications,Inc. https://medium.com/@arifwicaksanaa/pengertian-use-case-a7e576e1b6bf
Gribbons, B., & Herman, J. (1997). True and Quasi-Experimental Designs . 5(14), 3–5.
Handayani, E. D., Kusnawati, E., Sari, N. M., Yaniawati, P., & Zulkarnaen, M. I. (2022). Implementation of geogebra-assisted creative problem-solving model to improve problem solving ability and learning interest students. Al-Jabar : Jurnal Pendidikan Matematika, 13(1), 33–48. https://doi.org/10.24042/ajpm.v13i1.11341
Isoda, M., & Katagiri, S. (2012). MATHEMATICAL THINKING: How to Develop it in the Classroom: Volume 1. In World Scientific Publishing (Vol. 1). World Scientific Publishing Co. https://doi.org/10.1142/8163
Kamarulzaman, M. H., Kamarudin, M. F., Sharif, M. S. A. M., Esrati, M. Z., Saali, M. M. S. N., & Yusof, R. (2022). Impact of Differentiated Instruction on the Mathematical Thinking Processes of Gifted and Talented Students. Journal of Education and E-Learning Research, 9(4), 269–277. https://doi.org/10.20448/jeelr.v9i4.4253
Capaian Pembelajaran Pada Pendidikan Anak Usia Dini, Jenjang Pendidikan Dasar, dan Jenjang Pendidikan Menengah, Pub. L. No. NOMOR 046/H/KR/2025, Https://Www.Kemdikbud.Go.Id/Main/Blog/2024/12/Mendikdasmen-Perkenalkan-7-Kebiasaan-Anak-Indonesia-Hebat (2025).
Krulik, S., & Rudnick, J. A. (1987). Problem Solving: A Handbook for Teachees (Second Edition). Allyn & Bacon.
Mahmudah, W. N., & Hermanto. (2024). Self Efficacy on Mathematics Learning Outcomes of Elementary School Students The Impact of Online Learning. JPI (Jurnal Pendidikan Indonesia), 13(1), 129–137. https://doi.org/10.23887/jpiundiksha.v13i1.43030
Mason, J., Burton, L., & Stacey, K. (2010). Thinking Mathematically Second Edition.
Miller, C. J., Smith, S. N., & Pugatch, M. (2020). Experimental and quasi-experimental designs in implementation research. Psychiatry Research, 283(June 2019), 112452. https://doi.org/10.1016/j.psychres.2019.06.027
Mukhtar, M., Zaky, R. A., Islami, E., Damanhuri, D., & Hamundu, F. M. (2021). Information and Communication Technologies to Improve Problem Solving and Self- Efficacy: Exploring Geometry Learning Using Dynamic Mathematics Software Geogebra. International Journal of STEM Education for Sustainability, 1(1), 45–52.
NCTM. (2000). Principles and Standards for School Mathematics.
Noviyanti, L. D., & Purwandari, R. D. (2025). The Role of Scafolding Strategy as an Alternative to Improve Student s ’ Matematical Thinking Skills at SD Negeri 3 Kalipelus. 25. https://doi.org/10.30595/pssh.v25i.1670
Polya, G. (1957). How to solve it.
Roger, E., & Krik. (2009). Experimental Design.
Roick, J., & Ringeisen, T. (2018). Students’ math performance in higher education: Examining the role of self-regulated learning and self-efficacy. Learning and Individual Differences, 65(September 2016), 148–158. https://doi.org/10.1016/j.lindif.2018.05.018
Saefuloh, N. A., Wahyudin, W., Prabawanto, S., Kosasih, U., Saputra, S., Ahmatika, D., & Ihsan, I. R. (2023). Analisis Kemampuan Berpikir Matematis Siswa pada Pembelajaran Aritmatika Sosial Ditinjau dari Model Pembelajaran dan Self Efficacy Siswa. AKSIOMA : Jurnal Matematika Dan Pendidikan Matematika, 14(2), 251–262. https://doi.org/10.26877/aks.v14i2.15950
Shadish, W. R., & Cook, T. D. (20002). Modern Descriptions of Experiments The Kuhnian Critique Modern Social Psychological Critiques Science and Trust Implications for Experiments A World Without Experiments or Causes?
Snow, R. E. (1991). Aptitude-Treatment Interaction as a Framework for Research on Individual Differences in Psychotherapy. Journal of Consulting and Clinical Psychology, 59(2), 205–216.
Stacey, K. (2006). What is mathematical thinking and why is it important. Progress Report of the APEC Project: Collaborative Studies on Innovations for Teaching and Learning Mathematics in Different Cultures (II)—Lesson Study Focusing on Mathematical Thinking, 39–48.
Sweller, J., Kirschner, P. A., & Clark, R. E. (2007). Why Minimally Guided Teaching Techniques Do Not Work : A Reply to Commentaries Why Minimally Guided Teaching Techniques Do Not Work : A Reply to Commentaries. Educational Psychologist, 42(2), 115–121. https://doi.org/10.1080/00461520701263426
Tang, X., Yin, Y., Lin, Q., Hadad, R., & Zhai, X. (2020). Assessing computational thinking: A systematic review of empirical studies. Computers and Education, 148(May 2019), 103798. https://doi.org/10.1016/j.compedu.2019.103798
Triyono, A., & Murdiasih, D. (2023). Meningkatkan Kemampuan Berpikir Siswa Kelas V dalam Menyelesaikan Soal Cerita Matematika Melalui Pendekatan Pembelajaran Problem Solving. BASICA Journal of Arts and Science in Primary Education, 3(1), 51–64. https://doi.org/10.37680/basica.v3i1.3667
Uyangör, S. M. (2019). Investigation of the Mathematical Thinking Processes of Students in Mathematics Education Supported with Graph Theory. Universal Journal of Educational Research, 7(1), 1–9. https://doi.org/10.13189/ujer.2019.070101
Wiryana, R., & Alim, J. A. (2023). Problems of Learning Mathematics in Elementari Schools. Jurnal Kiprah Pendidikan, 2(3), 271–277
Bandura, A. (1997). Self-Efficacy: The Exercise of Control. W.H. Freeman. https://doi.org/10.1177/0032885512472964
Campbell, D. T., & Stanley, J. C. (1963). Experimental and Quasi-Experimental Designs for Research. Rand McNally College Publishing Company.
Creswell, J. W., & Cresswell, J. D. (2023). Research Design: Qualitative, quantitative and mixed methods approaches. In SAGE Publications,Inc. https://medium.com/@arifwicaksanaa/pengertian-use-case-a7e576e1b6bf
Gribbons, B., & Herman, J. (1997). True and Quasi-Experimental Designs . 5(14), 3–5.
Handayani, E. D., Kusnawati, E., Sari, N. M., Yaniawati, P., & Zulkarnaen, M. I. (2022). Implementation of geogebra-assisted creative problem-solving model to improve problem solving ability and learning interest students. Al-Jabar : Jurnal Pendidikan Matematika, 13(1), 33–48. https://doi.org/10.24042/ajpm.v13i1.11341
Isoda, M., & Katagiri, S. (2012). MATHEMATICAL THINKING: How to Develop it in the Classroom: Volume 1. In World Scientific Publishing (Vol. 1). World Scientific Publishing Co. https://doi.org/10.1142/8163
Kamarulzaman, M. H., Kamarudin, M. F., Sharif, M. S. A. M., Esrati, M. Z., Saali, M. M. S. N., & Yusof, R. (2022). Impact of Differentiated Instruction on the Mathematical Thinking Processes of Gifted and Talented Students. Journal of Education and E-Learning Research, 9(4), 269–277. https://doi.org/10.20448/jeelr.v9i4.4253
Capaian Pembelajaran Pada Pendidikan Anak Usia Dini, Jenjang Pendidikan Dasar, dan Jenjang Pendidikan Menengah, Pub. L. No. NOMOR 046/H/KR/2025, Https://Www.Kemdikbud.Go.Id/Main/Blog/2024/12/Mendikdasmen-Perkenalkan-7-Kebiasaan-Anak-Indonesia-Hebat (2025).
Krulik, S., & Rudnick, J. A. (1987). Problem Solving: A Handbook for Teachees (Second Edition). Allyn & Bacon.
Mahmudah, W. N., & Hermanto. (2024). Self Efficacy on Mathematics Learning Outcomes of Elementary School Students The Impact of Online Learning. JPI (Jurnal Pendidikan Indonesia), 13(1), 129–137. https://doi.org/10.23887/jpiundiksha.v13i1.43030
Mason, J., Burton, L., & Stacey, K. (2010). Thinking Mathematically Second Edition.
Miller, C. J., Smith, S. N., & Pugatch, M. (2020). Experimental and quasi-experimental designs in implementation research. Psychiatry Research, 283(June 2019), 112452. https://doi.org/10.1016/j.psychres.2019.06.027
Mukhtar, M., Zaky, R. A., Islami, E., Damanhuri, D., & Hamundu, F. M. (2021). Information and Communication Technologies to Improve Problem Solving and Self- Efficacy: Exploring Geometry Learning Using Dynamic Mathematics Software Geogebra. International Journal of STEM Education for Sustainability, 1(1), 45–52.
NCTM. (2000). Principles and Standards for School Mathematics.
Noviyanti, L. D., & Purwandari, R. D. (2025). The Role of Scafolding Strategy as an Alternative to Improve Student s ’ Matematical Thinking Skills at SD Negeri 3 Kalipelus. 25. https://doi.org/10.30595/pssh.v25i.1670
Polya, G. (1957). How to solve it.
Roger, E., & Krik. (2009). Experimental Design.
Roick, J., & Ringeisen, T. (2018). Students’ math performance in higher education: Examining the role of self-regulated learning and self-efficacy. Learning and Individual Differences, 65(September 2016), 148–158. https://doi.org/10.1016/j.lindif.2018.05.018
Saefuloh, N. A., Wahyudin, W., Prabawanto, S., Kosasih, U., Saputra, S., Ahmatika, D., & Ihsan, I. R. (2023). Analisis Kemampuan Berpikir Matematis Siswa pada Pembelajaran Aritmatika Sosial Ditinjau dari Model Pembelajaran dan Self Efficacy Siswa. AKSIOMA : Jurnal Matematika Dan Pendidikan Matematika, 14(2), 251–262. https://doi.org/10.26877/aks.v14i2.15950
Shadish, W. R., & Cook, T. D. (20002). Modern Descriptions of Experiments The Kuhnian Critique Modern Social Psychological Critiques Science and Trust Implications for Experiments A World Without Experiments or Causes?
Snow, R. E. (1991). Aptitude-Treatment Interaction as a Framework for Research on Individual Differences in Psychotherapy. Journal of Consulting and Clinical Psychology, 59(2), 205–216.
Stacey, K. (2006). What is mathematical thinking and why is it important. Progress Report of the APEC Project: Collaborative Studies on Innovations for Teaching and Learning Mathematics in Different Cultures (II)—Lesson Study Focusing on Mathematical Thinking, 39–48.
Sweller, J., Kirschner, P. A., & Clark, R. E. (2007). Why Minimally Guided Teaching Techniques Do Not Work : A Reply to Commentaries Why Minimally Guided Teaching Techniques Do Not Work : A Reply to Commentaries. Educational Psychologist, 42(2), 115–121. https://doi.org/10.1080/00461520701263426
Tang, X., Yin, Y., Lin, Q., Hadad, R., & Zhai, X. (2020). Assessing computational thinking: A systematic review of empirical studies. Computers and Education, 148(May 2019), 103798. https://doi.org/10.1016/j.compedu.2019.103798
Triyono, A., & Murdiasih, D. (2023). Meningkatkan Kemampuan Berpikir Siswa Kelas V dalam Menyelesaikan Soal Cerita Matematika Melalui Pendekatan Pembelajaran Problem Solving. BASICA Journal of Arts and Science in Primary Education, 3(1), 51–64. https://doi.org/10.37680/basica.v3i1.3667
Uyangör, S. M. (2019). Investigation of the Mathematical Thinking Processes of Students in Mathematics Education Supported with Graph Theory. Universal Journal of Educational Research, 7(1), 1–9. https://doi.org/10.13189/ujer.2019.070101
Wiryana, R., & Alim, J. A. (2023). Problems of Learning Mathematics in Elementari Schools. Jurnal Kiprah Pendidikan, 2(3), 271–277
Published
2026-07-13
How to Cite
Ahmad, N. S., Sarifah, I., & Lestari , I. (2026). The Effect of Geogebra-Assisted Problem Solving on Mathematical Thinking Ability Reviewed from Self Efficacy. International Journal of Education, Vocational and Social Science , 5(03), 4667-4681. https://doi.org/10.63922/ijevss.v5i03.5064
Contact Person +6282139474255
Email : ijevss@citakonsultindo.or.id / editor.ijevss@gmail.com
