The Effect of Using Geogebra, Self-Efficacy, Hard Work Character, and Critical Thinking Ability on Mathematics Learning Achievement
DOI:
https://doi.org/10.24252/mapan.2025v13n1a9Keywords:
GeoGebra, Self-Efficacy, Hard Work, Critical Thinking, Math Learning AchievementAbstract
Mathematical skills are essential in academic contexts, everyday life, and various professional fields. This study is motivated by the low achievement of Indonesian students' mathematics skills in the PISA survey and the importance of integrating technology and psychological factors in 21st-century mathematics learning. This study analyzes the direct and indirect effects of using GeoGebra, self-efficacy, complex work character, and critical thinking ability on students' mathematics learning achievement. This study uses a quantitative approach with a correlational research design and involves a sample of 156 grade XI students at a high school in Boyolali. Data collection was carried out through questionnaires and tests, which were tested for validity and reliability, and data analysis was carried out by path analysis using SPSS. The results showed that the use of GeoGebra and self-efficacy had a significant direct effect on the character of hard work. However, the four variables had no significant direct effect on mathematics learning achievement. The indirect effect of self-efficacy on learning achievement through complex work character was significant, while the other indirect paths were insignificant. This study concludes that complex work character is an important mediator that connects self-efficacy with mathematics learning achievement. This study recommends strengthening self-efficacy and utilising learning technologies such as GeoGebra and appropriate pedagogical strategies to build positive learning dispositions and improve mathematics learning outcomes.
Abstrak:
Kemampuan matematika sangat penting dalam konteks akademis, kehidupan sehari-hari, dan berbagai bidang profesi. Penelitian ini dilatarbelakangi oleh rendahnya pencapaian kemampuan matematika siswa Indonesia dalam survei PISA dan pentingnya mengintegrasikan teknologi dan faktor psikologis dalam pembelajaran matematika abad ke-21. Penelitian ini mengevaluasi pengaruh baik secara langsung maupun tidak langsung dari penggunaan GeoGebra, self-efficacy, karakter kerja keras, dan kemampuan berpikir kritis terhadap prestasi belajar matematika siswa. Pendekatan yang digunakan adalah kuantitatif dengan desain penelitian eksplanatori, melibatkan 156 siswa kelas XI dari SMA Negeri 1 Boyolali sebagai sampel penelitian. Pengumpulan data dilakukan melalui kuesioner dan tes yang telah diuji validitas dan reliabilitasnya, dan analisis data dilakukan dengan analisis jalur menggunakan SPSS. Hasil penelitian menunjukkan bahwa penggunaan GeoGebra dan efikasi diri berpengaruh langsung secara signifikan terhadap karakter kerja keras. Namun, keempat variabel tersebut tidak memiliki pengaruh langsung yang signifikan terhadap prestasi belajar matematika. Pengaruh tidak langsung efikasi diri terhadap prestasi belajar melalui karakter kerja kompleks adalah signifikan, sedangkan pengaruh tidak langsung lainnya tidak signifikan. Penelitian ini menyimpulkan bahwa karakter kerja merupakan mediator penting yang menghubungkan efikasi diri dengan prestasi belajar matematika. Penelitian ini menyimpulkan bahwa karakter kerja merupakan mediator penting yang menghubungkan efikasi diri dengan prestasi belajar matematika. Penelitian ini merekomendasikan untuk memperkuat efikasi diri dan memanfaatkan teknologi pembelajaran seperti GeoGebra dan strategi pedagogis yang tepat untuk membangun disposisi belajar yang positif dan meningkatkan hasil belajar matematika.
Downloads
References
Al-Mutawah, M. A., & Fateel, M. J. (2018). Students’ achievement in math and science: how grit and attitudes influence? International Education Studies, 11(2), 97. https://doi.org/10.5539/ies.v11n2p97.
Alhadabi, A., & Karpinski, A. C. (2020). Grit, self-efficacy, achievement orientation goals, and academic performance in university students. International Journal of Adolescence and Youth, 25(1), 519–535. https://doi.org/10.1080/02673843.2019.1679202.
Amin, A. M., Corebima, A. D., Zubaidah, S., & Mahanal, S. (2020). The correlation between metacognitive skills and critical thinking skills at the implementation of four different learning strategies in animal physiology lectures. European Journal of Educational Research, 9(1), 143–163. https://doi.org/10.12973/eu-jer.9.1.143.
Anajihah, N. M., Sulistyowati, F., Harini, E., Agustito, D., & Nugraheni, Z. (2023). Meta-analysis study : Effectiveness of using geogebra on students ’ mathematical ability. Indomath: Indonesian Mathematics Education, 8(1), 44–55. https://doi.org/10.30738/indomath.v8i1.140.
Applebaum, M. (2025). Fostering creative and critical thinking through math games : A case study of Bachet ’ s game. European Journal of Science and Mathematics Education, 13(1), 16–26. https://doi.org/10.30935/scimath/15825.
Bandura, A. (1997). Self-efficacy: The exercise of control. In W.H Freeman and Company New York (Vol. 43, Issue 9, pp. 1–602).
Creswell, J. W., & Creswell, J. D. (2017). Research design: Qualitative, quantitative, and mixed methods approaches (5th ed.). California: SAGE Publications.
Daryanto, & Darmiatun, S. (2013). Implementasi pendidikan karakter di sekolah. Yogyakarta: Gava Media.
Duckworth, A., Peterson, C., Matthews, M. D., & Kelly, D. (2007). Grit: Perseverance and passion for long-term goals. Journal of Personality and Social Psychology, 92(6), 1087–1101.
Facione, P. a. (2011). Critical thinking: What it is and why it counts. Insight Assessment, ISBN 13: 978-1-891557-07-1., 1–28.
Filiz, A. (2024). The landscape of technology research in special education: A bibliometric analysis. Journal of Special Education Technology, 39(1), 94–107. https://doi.org/10.1177/01626434231180582.
Hattori, Y. (2025). Enhancing critical thinking in mathematics education : A rubric for students ’ social values. International Electronic Journal of Mathematics Education, 20(3), 1–18.
Hohenwarter, M., & Preiner, J. (2007). Dynamic mathematics with GeoGebra. Journal of Online Mathematics and Its Applications, 7(1), 2–12.
Kaya, S., & Karakoc, D. (2022). Math mindsets and academic grit: How are they related to primary math achievement? European Journal of Science and Mathematics Education, 10(3), 298–309. https://doi.org/10.30935/scimath/11881.
Kusmaryono, I., & Kusumaningsih, W. (2023). Evaluating the results of PISA assessment: Are there gaps between the teaching of mathematical literacy at schools and in PISA assessment? European Journal of Educational Research, 12(3), 1479–1493.
Latifi, M., Hattaf, K., & Achtaich, N. (2021). The effect of dynamic mathematics software geogebra on student’ achievement: The case of differential equations. Journal of Educational and Social Research, 11(6), 211–221. https://doi.org/10.36941/jesr-2021-0141.
Liu, Y., Huang, J., & Zhang, Q. (2023). Grit and academic self-efficacy as serial mediation in the relationship between growth mindset and academic achievement. Psychology Research and Behavior Management, 16, 123–135. https://doi.org/10.2147/PRBM.S421544.
NCTM. (2020). Change in high school mathematics. Reston, Virginia: NCTM.
NRC. (2001). Adding it up: Helping children learn mathematics. United State: National Academies Press.
OECD. (2022). PISA 2022 results (volume i): The state of learning and equity in education. Paris: OECD Publishing.
Ogden, L., Darrah, M., & Leppma, M. (2023). Role of grit and other factors in mitiating math anxiety in college math students. Proceedings of the Forty-Fifth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, 2, 208–216.
Pang, H. P., & Veloo, A. (2024). The relation between learning engagement and academic self-efficacy toward academic achievement among university students. Qubahan Academic Journal, 4(2), 170–183. https://doi.org/10.48161/qaj.v4n2a512.
Sachdeva, S., & Eggen, P.-O. (2021). Learners’ critical thinking about learning mathematics. International Electronic Journal of Mathematics Education, 16(3), em0644. https://doi.org/10.29333/iejme/11003.
Saputro, A. D., Atun, S., Wilujeng, I., Ariyanto, A., & Arifin, S. (2020). Enhancing pre-service elementary teachers’ self-efficacy and critical thinking using problem-based learning. European Journal of Educational Research, 9(2), 765–773. https://doi.org/10.12973/eu-jer.9.2.765.
Setiana, D. S., Purwoko, R. Y., & Sugiman. (2021). The application of mathematics learning model to stimulate mathematical critical thinking skills of senior high school students. European Journal of Educational Research, 10(1), 509–523. https://doi.org/10.12973/EU-JER.10.1.509.
Setyawan, D., Anas, A., Nasir, M., & Fadly, D. (2024). Enhancing students’ mathematical critical thinking skills through a GeoGebra integrated project-based learning model. Journal of Ecohumanism, 3(8). https://doi.org/10.62754/joe.v3i8.5419.
Sevilla, C. G., Ochave, J. A., Punsalan, T. G., Regala, B. P., & Uriarte, G. G. (1984). An introduction to research methods. In Quezon City: Rex Book Store. (p. 308).
Shen, C., Chen, Q., Zhang, N., Diao, F., Liu, P., & Zhou, X. (2025). Development of situational mathematical ability lags behind the development of symbolic mathematical ability. European Journal of Psychology of Education, 40(1), 1–28. https://doi.org/10.1007/s10212-024-00924-4.
Street, K. E. S., Malmberg, L. E., & Stylianides, G. J. (2022). Changes in students’ self-efficacy when learning a new topic in mathematics: a micro-longitudinal study. Educational Studies in Mathematics, 111(3), 515–541. https://doi.org/10.1007/s10649-022-10165-1.
Sutama, Hidayati, Y. M., & Novitasari, M. (2022). Metode penelitian pendidikan matematika (mathematics education research methods). Surakarta: Muhammadiyah University Press.
Thorndahl, K. L., & Stentoft, D. (2020). Thinking critically about critical thinking and prob-lem-based learning in higher education: A scoping review. Interdisciplinary Journal of Problem-Based Learning, 14(1), 1–21. https://doi.org/10.14434/ijpbl.v14i1.28773.
Wulandari, S., & Kurniawan, R. (2024). Keterampilan berpikir kritis dan dampaknya terhadap prestasi belajar: Studi pada pembelajaran matematika berbasis masalah. Jurnal Inovasi Pendidikan Matematika, 18(1), 24–31.
Yang, Y., Maeda, Y., & Gentry, M. (2024). The relationship between mathematics self-efficacy and mathematics achievement: Multilevel analysis with NAEP 2019. Large-Scale Assessments in Education, 12(1). https://doi.org/10.1186/s40536-024-00204-z.
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.
Zakaria, M. I., Carol, W. W. S., Hanid, M. F. A., Adnan, M. F., Raimi, N. F., & Azman, S. M. S. (2024). Integrating geometrical design with geogebra: effects on motivation and academic performance among secondary students. Mathematics Teaching-Research Journal, 16(5), 186–217.
Zakariya, Y. F. (2022). Improving students’ mathematics self-efficacy: A systematic review of intervention studies. Frontiers in Psychology, 13. https://doi.org/10.3389/fpsyg.2022.986622.
Zetriuslita, Nofriyandi, & Istikomah, E. (2020). The effect of Geogebra-assisted direct instruction on students’ self-efficacy and self-regulation. Infinity Journal, 9(1), 41–48. https://doi.org/10.22460/infinity.v9i1.p41-48.
Zhang, Y., Wang, P., Jia, W., & Zhang, A. (2023). Dynamic visualization by GeoGebra for mathematics learning: a meta-analysis of 20 years of research. Journal of Research on Technology in Education, 57(2), 437–458. https://doi.org/10.1080/15391523.2023.2250886.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Mutiara Hisda Mahmudah, Windi Hastuti, Juli Ferdianto, Nining Setyaningsih

This work is licensed under a Creative Commons Attribution 4.0 International License.