Enhancing Numeracy Skills through a GeoGebra-Integrated Collaborative Platform in Online Mathematics Learning

Authors

DOI:

https://doi.org/10.22437/edumatica.v16i2.47333

Keywords:

collaborative learning, GeoGebra integration, geometry visualization, numeracy assessment, online mathematics education

Abstract

Online geometry instruction has been primarily conducted in the context of conventional digital platforms which emphasize content delivery rather than spatial reasoning. Recent research has been reported to demonstrate that limited visual and interactive tools constrain students' numeracy skills and engagement in online mathematics learning. Meanwhile, the present study conducted by the researchers examined the effectiveness of a GeoGebra-integrated collaborative platform in enhancing numeracy skills through structured online learning. This was a quasi-experimental study involving 64 eleventh-grade students assigned into the experimental group (n=32) and the control group (n=32). The experimental group used GeoGebra interactive applets within a three-phase collaborative framework, namely (1) Discussion, (2) Idea, and (3) Conclusion, while the control group received conventional online instruction. Data collection has been conducted through pre-post numeracy tests, systematic observations, and student questionnaires. The numeracy performance of the experimental group has been reported to be significantly higher (M=78.65, SD=9.23) compared to the control group (M=63.37, SD=10.45) with a large effect size (d=1.47, p<0.001). Student engagement has also been reported to increase by 42%, with 79.3% of students achieving collaborative consensus compared to 45.7% in the control group. However, participation patterns in the control group have been primarily characterized by progressive decline across learning phases, while the experimental group maintained balanced engagement throughout the sessions. In contrast, studies that examine how collaborative features within GeoGebra-integrated platforms influence numeracy development in synchronous online environments are still rare. The findings of this study provide educators with a replicable framework for implementing technology-enhanced collaborative learning in online mathematics instruction

References

Abrahamson, D., Nathan, M. J., Williams-Pierce, C., Walkington, C., Ottmar, E. R., Soto, H., & Alibali, M. W. (2020). The future of embodied design for mathematics teaching and learning. Frontiers in Education, 5. https://doi.org/10.3389/feduc.2020.00147

Anderson, T. (2017). How communities of inquiry drive teaching and learning in the digital age. 1–16.

Arbain, N., & Shukor, N. A. (2015). The effects of GeoGebra on students achievement. Procedia-Social and Behavioral Sciences, 172, 208–214. https://doi.org/10.1016/j.sbspro.2015.01.356

Azevedo, J. P., Hasan, A., Goldemberg, D., Geven, K., & Iqbal, S. A. (2022). Simulating the potential impacts of COVID-19 school closures on schooling and learning outcomes: A set of global estimates. The World Bank Research Observer, 36(1), 1–40. https://doi.org/10.1093/wbro/lkab003

Bailey, D. H., Duncan, G. J., Murnane, R. J., & Au Yeung, N. (2020). Achievement gaps in the wake of COVID-19. Educational Researcher, 50(5), 266–275. https://doi.org/10.3102/0013189X211011237

Bakker, A., Cai, J., & Zenger, L. (2021). Future themes of mathematics education research: An international survey before and during the pandemic. Educational Studies in Mathematics, 107(1), 1–24. https://doi.org/10.1007/s10649-021-10049-w

Ball, L., Drijvers, P., Ladel, S., Siller, H. S., Tabach, M., & Vale, C. (Eds. ). (2018). Uses of technology in primary and secondary mathematics education: Tools, topics and trends. Springer. https://doi.org/10.1007/978-3-319-76575-4

Bank., W. (2023). Learning recovery to acceleration: A global update on country efforts to improve learning and reduce inequalities. https://doi.org/10.1596/39934

Barron, B. (2015). When smart groups fail. The Journal of the Learning Sciences, 12(3), 307–359. https://doi.org/10.1207/S15327809JLS1203_1

Birgin, O., & Yazıcı, K. U. (2021). The effect of GeoGebra software-supported mathematics instruction on eighth-grade students’ conceptual understanding and retention. Journal of Computer Assisted Learning, 37(4), 925–939. https://doi.org/10.1111/jcal.12532

Borba, M. C., Askar, P., Engelbrecht, J., Gadanidis, G., Llinares, S., & Aguilar, M. S. (2016). Blended learning, e-learning and mobile learning in mathematics education. ZDM, 48(5), 589–610. https://doi.org/10.1007/s11858-016-0798-4

Bozkurt, A., Jung, I., Xiao, J., Vladimirschi, V., Schuwer, R., Egorov, G., & M. (2020). A global outlook to the interruption of education due to COVID-19 pandemic: Navigating in a time of uncertainty and crisis. Asian Journal of Distance Education, 15(1), 1–126.

Bray, A., & Tangney, B. (2017). Technology usage in mathematics education research–A systematic review of recent trends. Computers & Education, 114, 255–273. https://doi.org/10.1016/j.compedu.2017.07.004

Çelik, H. C., & Güzel, E. B. (2020). Geometer’s sketchpad in collaborative learning: Developing prospective teachers’ understanding of reflective symmetry. Turkish Journal of Computer and Mathematics Education, 11(1), 188–208. https://doi.org/10.16949/turkbilmat.652429

Cevikbas, M., & Kaiser, G. (2020). Flipped classroom as a reform-oriented approach to teaching mathematics. ZDM, 52(7), 1291–1305. https://doi.org/10.1007/s11858-020-01191-5

Chan, K. K., & Clarke, D. (2017). Capitalizing on the potential of video for learning mathematics: A design-based research study. The Journal of Mathematical Behavior, 48, 69–82. https://doi.org/10.1016/j.jmathb.2017.08.002

Chan, K. K., & Leung, S. W. (2022). Dynamic geometry software improves mathematical achievement: Systematic review and meta-analysis. Journal of Educational Computing Research, 59(3), 429–461. https://doi.org/10.1177/0735633120969903

Chen, X., Zou, D., Xie, H., & Wang, F. L. (2020). Past, present, and future of smart learning: A systematic literature review. Computers and Education: Artificial Intelligence, 2. https://doi.org/10.1016/j.caeai.2021.100036

Cîrneanu, A.-L., & Moldoveanu, C.-E. (2024). Use of digital technology in integrated mathematics education. Applied System Innovation, 7(4). https://doi.org/10.3390/asi7040066

Clarke, D., Keitel, C., & Shimizu, Y. (Eds. ). (2018). Mathematics classrooms in twelve countries: The insider’s perspective. Springer.

Creswell, W. J., & Creswell, J. D. (2018). Research Design: Qualitative, Quantitative adn Mixed Methods Approaches. In Journal of Chemical Information and Modeling.

Daulay, L. A., Syafipah, N., Nasution, A. K. P., Tohir, M., Simamora, Y., & Saragih, R. (2021). Geogebra assisted blended learning on students’ spatial geometry ability. Journal of Physics: Conference Series, 1839(1), 1742–6596. https://doi.org/10.1088/1742-6596/1839/1/012009

DeVellis, R. F. (2017). Scale development: Theory and applications (4th ed.). Sage Publications.

Drijvers, P., Ball, L., Barzel, B., Heid, M. K., Cao, Y., & Maschietto, M. (2016). Uses of technology in lower secondary mathematics education: A concise topical survey. Springer. https://doi.org/10.1007/978-3-319-33666-4

Engelbrecht, J., Llinares, S., & Borba, M. C. (2020). Transformation of the mathematics classroom with the internet. ZDM, 52(5), 825–841. https://doi.org/10.1007/s11858-020-01176-4

Ernest, P. (2016). The social construction of mathematics knowledge. State University of New York Press.

Fan, L., Mailizar, M., Alafaleq, M., & Wang, Y. (2018). A comparative study on the presentation of geometric proof in secondary mathematics textbooks in China, Indonesia, and Saudi Arabia. Springer.

Fredricks, J. A., Reschly, A. L., & Christenson, S. L. (2019). Handbook of student engagement interventions: Working with disengaged students. Academic Press.

Fyfe, E. R., McNeil, N. M., Son, J. Y., & Goldstone, R. L. (2014). Concreteness fading in mathematics and science instruction: A systematic review. Educational Psychology Review, 26(1), 9–25. https://doi.org/10.1007/s10648-014-9249-3

Hew, K. F., Jia, C., Gonda, D. E., & Bai, S. (2020). Transitioning to the “new normal” of learning in unpredictable times: Pedagogical practices and learning performance in fully online flipped classrooms. International Journal of Educational Technology in Higher Education, 17(1), 1–22. https://doi.org/10.1186/s41239-020-00234-x

Hillmayr, D., Ziernwald, L., Reinhold, F., Hofer, S. I., & Reiss, K. M. (2020). The potential of digital tools to enhance mathematics and science learning in secondary schools: A context-specific meta-analysis. Computers & Education, 153. https://doi.org/10.1016/j.compedu.2020.103897

Hodges, C., Moore, S., Lockee, B., Trust, T., & Bond, A. (2020). The difference between emergency remote teaching and online learning. Educause Review, 27, 1–12.

Hoyles, C., & Noss, R. (2013). Mathematics and digital technologies: Rethinking the terrain. Springer.

Hutkemri, E., & Zakaria, E. (2022). The effect of GeoGebra software on achievement and engagement among Malaysian secondary school students. Asian Journal of University Education, 18(2), 474–488. https://doi.org/10.24191/ajue.v18i2.17995

Hwang, G. J., Wang, S. Y., & Lai, C. L. (2021). Effects of a social regulation-based online learning framework on students’ learning achievements and behaviors in mathematics. Computers & Education, 160. https://doi.org/10.1016/j.compedu.2020.104031

IES. (2022). What Works Clearinghouse standards handbook (Version 5.0).

Ishartono, N., Nurcahyo, A., Waluyo, M., Prayitno, H. J., & Hanifah, M. (2022). Integrating GeoGebra into the flipped learning approach to improve students’ self-regulated learning during the covid-19 pandemic. Journal on Mathematics Education, 13(1), 69–86. https://doi.org/10.22342/jme.v13i1.pp69-86

Jablonka, E., Wagner, D., & Walshaw, M. (2017). Theories for studying social, political and cultural dimensions of mathematics education. National Council of Teachers of Mathematics.

Jeong, H., & Hmelo-Silver, C. E. (2016). Seven affordances of computer-supported collaborative learning: How to support collaborative learning? How can technologies help? Educational Psychologist, 51(2), 247–265. 247–265. https://doi.org/10.1080/00461520.2016.1158654

Kemendikbudristek. (2023). Rapor pendidikan Indonesia 2023: Hasil asesmen nasional.

Kieran, C. (2020). Algebra teaching and learning. Springer.

Kieran, C., Pang, J., Schifter, D., & Ng, S. F. (2015). Early algebra: Research into its nature, its learning, its teaching. Springer.

Kirschner, P. A., Sweller, J., Kirschner, F., & Zambrano, J. (2018). From cognitive load theory to collaborative cognitive load theory. International Journal of Computer-Supported Collaborative Learning, 13(2), 213–233. https://doi.org/10.1007/s11412-018-9277-y

Kusumah, Y. S., Kustiawati, D., & Herman, T. (2020). The effect of GeoGebra in three-dimensional geometry learning on students’ mathematical communication ability. International Journal of Instruction, 13(2), 895–908. https://doi.org/10.29333/iji.2020.13260a

Lai, J., & Bower, M. (2022). Overcoming technological challenges in online collaborative learning: A systematic review. Computers & Education, 175. https://doi.org/10.1016/j.compedu.2021.104284

Leung, F. K. (2017). Making sense of mathematics achievement in East Asia: Does culture matter? In G. Springer.

Mailizar, M., Almanthari, A., Maulina, S., & Bruce, S. (2021). Secondary school mathematics teachers’ views on e-learning implementation barriers during the COVID-19 pandemic: The case of Indonesia. https://doi.org/10.29333/ejmste/8240

Martin, F., & Bolliger, D. U. (2018). Engagement matters: Student perceptions on the importance of engagement strategies in the online learning environment. Online Learning, 22(1), 205–222. https://doi.org/10.24059/olj.v22i1.1092

Mayer, R. E. (2021). Evidence-based principles for how to design effective instructional videos. Journal of Applied Research in Memory and Cognition, 10(2), 229–240. https://doi.org/10.1016/j.jarmac.2021.03.007

McCambridge, J., Witton, J., & Elbourne, D. R. (2014). Systematic review of the Hawthorne effect: New concepts are needed to study research participation effects. Journal of Clinical Epidemiology, 67(3), 267–277. https://doi.org/10.1016/j.jclinepi.2013.08.015

Moore, M. G. (1993). Theory of transactional distance. Routledge.

Mueller, M., Yankelewitz, D., & Maher, C. (2021). Sense making as motivation in doing mathematics: Results from two studies. The Mathematics Educator, 20(2), 33–57.

NCTM. (2020). Standards for the Preparation of Secondary Mathematics Teachers. The National Council of Teachers of Mathematics, Inc., May.

Ocal, M. F. (2017). The effect of GeoGebra on students’ achievement in teaching the subject of functions. Educational Research and Reviews, 12(17), 931–940. https://doi.org/10.5897/ERR2017.3329

Olive, J., & Makar, K. (2018). Mathematical knowledge and practices resulting from access to digital technologies. Routledge.

Oner, D. (2020). A virtual internship for developing technological pedagogical content knowledge. Australasian Journal of Educational Technology, 36(2), 27–42. https://doi.org/10.14742/ajet.5192

Papert, S. (1980). Mindstorms: Children, computers, and powerful ideas. Basic Books.

Pellas, N., Mystakidis, S., & Kazanidis, I. (2021). Immersive virtual reality in K-12 and higher education: A systematic review of the last decade scientific literature. Virtual Reality, 25(3), 835–861. https://doi.org/10.1007/s10055-020-00489-9

Perera, H. N., & Abeysekera, L. (2023). Feedback in digital environments: An integrative review of online feedback models and implications for educational practice. Review of Educational Research, 93(2), 195–230. https://doi.org/10.3102/00346543221089315

Phonapichat, P., Wongwanich, S., & Sujiva, S. (2021). An analysis of elementary school students’ difficulties in mathematical problem solving with GeoGebra intervention in Thailand. Kasetsart Journal of Social Sciences, 42(3), 595–602. https://doi.org/10.34044/j.kjss.2021.42.3.15

Pierce, R., & Stacey, K. (2019). Enhancing learning with effective use of technology. Springer.

Poon, L. K. M., Kong, S. C., Yau, T. S. H., Wong, M., & Ling, M. H. (2021). Learning analytics for monitoring students participation online: Visualizing navigational patterns on learning management system. Springer.

Radović, S., Radojičić, M., Veljković, K., & Marić, M. (2021). Examining the effects of Geogebra applets on mathematics learning using interactive mathematics textbook. Interactive Learning Environments, 29(5), 819–835. https://doi.org/10.1080/10494820.2019.1612448

Ran, H., Kim, N. J., & Secada, W. G. (2022). A meta-analysis on the effects of technology’s functions and roles on students’ mathematics achievement in K-12 classrooms. Journal of Computer Assisted Learning, 38(1), 258–284. https://doi.org/10.1111/jcal.12611

Reich, J., Buttimer, C. J., Coleman, D., Colwell, R., Faruqi, F., & Larke, L. R. (2023). What’s lost, what’s left, what’s next: Lessons learned from the lived experiences of teachers during the pandemic. Educational Researcher, 52(2), 78–89. https://doi.org/10.3102/0013189X231167229

Said, N., Yunus, M., Desa, L. K., Zakaria, A., & Sulaiman, N. (2014). Three-phase collaborative learning structure: A model of online collaborative learning. https://doi.org/10.1109/MySEC.2014.6985996

Sears, D. A., & Chávez, O. (2014). Opportunities to engage with proof: The nature of proof tasks in two geometry textbooks and its influence on enacted lessons. ZDM, 46(5), 767–780. https://doi.org/10.1007/s11858-014-0596-9

Sedgwick, P., & Greenwood, N. (2015). Understanding the Hawthorne effect. BMJ, 351. https://doi.org/10.1136/bmj.h4672

Septian, A., Inayah, S., Suwarman, R. F., & Nugraha, R. (2020). GeoGebra-assisted problem based learning to improve mathematical problem solving ability. https://doi.org/10.2991/assehr.k.200827.119

Sfard, A. (2008). Thinking as communicating: Human development, the growth of discourses, and mathematizing. Cambridge University Press.

Shadish, W. R., Cook, T. D., & Campbell, D. T. (2002). Experimental and quasi-experimental designs for generalized causal inference. Houghton Mifflin.

Sinclair, N., & de Freitas, E. (2019). Body studies in mathematics education: Diverse scales of mattering. ZDM, 51(2), 227–237. https://doi.org/10.1007/s11858-019-01052-w

Sinha, S., Rogat, T. K., Adams-Wiggins, K. R., & Hmelo-Silver, C. E. (2021). Collaborative group engagement in a computer-supported inquiry learning environment. International Journal of Computer-Supported Collaborative Learning, 10(3), 273–307. https://doi.org/10.1007/s11412-015-9218-y

Slavin, R., & Smith, D. (2020). The relationship between sample sizes and effect sizes in systematic reviews in education. Educational Evaluation and Policy Analysis, 31(4), 500–506. https://doi.org/10.3102/0162373709352369

Stahl, G. (2015). Constructing dynamic triangles together: The development of mathematical group cognition. Cambridge University Press.

Stuart, E. A., Bell, S. H., Ebnesajjad, C., Olsen, R. B., & Orr, L. L. (2017). Characteristics of school districts that participate in rigorous national educational evaluations. Journal of Research on Educational Effectiveness, 10(1), 168–206. https://doi.org/10.1080/19345747.2016.1205160

Sullivan, G. M. (2011). Getting off the “gold standard”: Randomized controlled trials and education research. Journal of Graduate Medical Education, 3(3), 285–289. https://doi.org/10.4300/JGME-D-11-00147.1

Suryawan, I. P. P., & Permana, D. (2020). Media pembelajaran online berbasis GeoGebra sebagai upaya meningkatkan pemahaman konsep matematika. Prisma, 9(1), 108–117. https://doi.org/10.35194/jp.v9i1.929

Sweller, J., van Merriënboer, J. J., & Paas, F. (2019). Cognitive architecture and instructional design: 20 years later. Educational Psychology Review, 31(2), 261–292. https://doi.org/10.1007/s10648-019-09465-5

Tan, C., & Hung, D. (2023). Cultural considerations in educational technology research in Asia. Educational Technology Research and Development, 71(1), 1–20. https://doi.org/10.1007/s11423-022-10184-y

Tang, K. Y., & Chaw, L. Y. (2022). E-assessment and e-portfolio: Practice and challenges. Springer.

Tong, D. H., Uyen, B. P., & Ngan, L. K. (2022). The effectiveness of blended learning on students’ academic achievement, self-study skills and learning attitudes: A quasi-experiment study in teaching the conventions for coordinates in the plane. Heliyon, 8(12). https://doi.org/10.1016/j.heliyon.2022.e12657

Turgut, M. (2021). Reinventing geometric linear transformations in a dynamic geometry environment: Multimodal analysis of student reasoning. International Journal of Science and Mathematics Education, 19(1), 89–108. https://doi.org/10.1007/s10763-019-10042-z

UNESCO. (2021). One year into COVID-19 education disruption: Where do we stand? United Nations Educational, Scientific and Cultural Organization.

Van Merriënboer, J. J., & Kirschner, P. A. (2017). Ten steps to complex learning: A systematic approach to four-component instructional design. Routledge.

Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Harvard University Press.

Wassie, Y. A., & Zergaw, G. A. (2019). Some of the potential affordances, challenges and limitations of using GeoGebra in mathematics education. https://doi.org/10.29333/ejmste/108436

Weinberger, A., Stegmann, K., & Fischer, F. (2018). Learning to argue online: Scripted groups surpass individuals (unscripted groups do not). Computers in Human Behavior, 26(4), 506–515. https://doi.org/10.1016/j.chb.2009.08.007

Wijaya, T. T., Ying, Z., Chotimah, S., & Bernard, M. (2022). Hawgent dynamic mathematics software as mathematics learning media for teaching quadratic functions. Journal of Educational Technology & Online Learning, 5(2), 316–330. https://doi.org/10.31681/jetol.1057701

Xiao, J. (2017). Learner-content interaction in distance education: The weakest link in interaction research. Distance Education, 38(1), 123–135. https://doi.org/10.1080/01587919.2017.1298982

Xu, L., & Clarke, D. (2019). Speaking or not speaking as a cultural practice: Analysis of mathematics classroom discourse in Shanghai, Seoul, and Melbourne. Educational Studies in Mathematics, 102(1), 127–146. https://doi.org/10.1007/s10649-019-09901-x

Yohannes, A., & Chen, H. L. (2023). GeoGebra in teaching and learning introductory statistics. Journal of Computers in Education, 10(1), 83–99. https://doi.org/10.1007/s40692-021-00209-5

Zambrano, J., Kirschner, F., Sweller, J., & Kirschner, P. A. (2019). Effects of prior knowledge on collaborative and individual learning. Learning and Instruction, 63. https://doi.org/10.1016/j.learninstruc.2019.05.011

Zhang, L., Kirschner, P. A., Cobern, W. W., & Sweller, J. (2021). There is an evidence crisis in science educational policy. Educational Psychology Review, 34, 1157–1176. https://doi.org/10.1007/s10648-021-09646-1

Zheng, B., Lin, C. H., & Kwon, J. B. (2020). The impact of learner, instructor, and course-level factors on online learning. Computers & Education, 150. https://doi.org/10.1016/j.compedu.2020.103851

Ziatdinov, R., & Valles, J. (2022). Synthesis of modeling, visualization, and programming in GeoGebra as an effective approach for teaching and learning STEM topics. Mathematics, 10(3). https://doi.org/10.3390/math10030398

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2026-08-31

How to Cite

Iriani, D., Anwar, K., & Sofnidar, S. (2026). Enhancing Numeracy Skills through a GeoGebra-Integrated Collaborative Platform in Online Mathematics Learning. Edumatica : Jurnal Pendidikan Matematika, 16(2), 271-295. https://doi.org/10.22437/edumatica.v16i2.47333

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