Effect of an open-source software and artificial intelligence strategy on university algebra performance: A quasi-experimental study.

Keywords: academic performance, algebra, open-source software, artificial intelligence, higher education

Abstract

The effect of a teaching strategy based on open-source software (GeoGebra and Octave) and AI tools (ChatGPT and Wolfram Alpha) on university students’ academic performance in algebra was evaluated. It was hypothesized that this strategy would produce significantly higher performance than traditional instruction. A quasi-experimental design with non-equivalent groups and a pretest-posttest format was implemented over 16 weeks with 105 students (experimental group: n=55; control group: n=50). The experimental group achieved a gain of 27.61 points, compared with 14.66 points in the control group, with a significant difference (t(103)=6.66, p< 0.001; d=1.30) and confirmatory ANCOVA results (partial η²=0.303). The planned integration of open digital resources and generative assistants substantially improved learning in university-level algebra.

References

Asociación Médica Mundial. (2024). Declaración de Helsinki de la AMM: Principios éticos para las investigaciones médicas en seres humanos. https://www.wma.net/es/policies-post/declaracion-de-helsinki-de-la-amm-principios-eticos-para-las-investigaciones-medicas-en-seres-humanos/

Bray, A., y 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

Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences. Second Edition. Lawrence Erlbaum Associates, Publishers. Library of Congress. Publication Data. https://utstat.toronto.edu/~brunner/oldclass/378f16/readings/CohenPower.pdf

Cohen, J. (2013). Statistical power analysis for the behavioral sciences. Routledge.

Cooper, G. (2023). Examining science education in ChatGPT: An exploratory study of generative artificial intelligence Journal of Science Education and Technology, 32(3), 444-452. http://doi.org/10.1007/s10956-023-10039-Y

Daniel, W. W. (2016). Bioestadística: Base para el análisis de las ciencias de la salud. Limusa Wiley.

Deng, R., Jiang, M., Yu, X., Lu, Y., y Liu, S. (2024). Does ChatGPT enhance student learning? A systematic review and meta-analysis of experimental studies. Computers & Education, 227, 1-35. https://doi.org/10.1016/j.compedu.2024.105224

Drijvers, P. (2015). Digital technology in mathematics education: Why it works (or doesn't). En S. J. Cho (Ed.), Selected regular lectures from the 12th International Congress on Mathematical Education (pp. 135-151). Springer. https://doi.org/10.1007/978-3-319-17187-6_8

Egara, F. O., & Mosimege, M. (2024). Exploring the Integration of Artificial Intelligence-Based ChatGPT into Mathematics Instruction: Perceptions, Challenges, and Implications for Educators. Education Sciences, 14(7), 742. https://doi.org/10.3390/educsci14070742

Hillmayr, D., Ziernwald, L., Reinhold, F., Hofer, S. I., y 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, 1-25. https://doi.org/10.1016/j.compedu.2020.103897

IBM Corp. (2020). IBM SPSS. Statistics for Windows, (Version 27.0) [Computer software]. https://www.ibm.com/products/spss-statistics

Kasneci, E., Sessler, K., Küchemann, S., Bannert, M., Dementieva, D., Fischer, F., Gasser, U., Groh, G., Günnemann, S., Hüllermeier, E., Krusche, S., Kutyniok, G., Michaeli, T., Nerdel, C., Pfeffer, J., Poquet, O., Sailer, M., Schmidt, A., Seidel, T., … Kasneci, G. (2023). ChatGPT for good? On opportunities and challenges of large language models for education. Learning and Individual Differences, 103, 102274. https://doi.org/10.1016/j.lindif.2023.102274

Korkmaz Guler, N., Dertli, Z. G., Boran, E., y Yildiz, B. (2024). An artificial intelligence application in mathematics education: Evaluating ChatGPT's academic achievement in a mathematics exam. Pedagogical Research, 9(2), em0188. https://doi.org/10.29333/pr/14145

Noster, N., Gerber, S., & Siller, H.-S. (2024). Pre-Service Teachers' Approaches in Solving Mathematics Tasks with ChatGPT. Digital Experiences in Mathematics Education, 10, 543–567. https://doi.org/10.1007/s40751-024-00155-8

Pepin, B., Buchholtz, N., y Salinas-Hernández, U. (2025). A scoping survey of ChatGPT in mathematics education. Digital Experiences in Mathematics Education, 11(1), 9-41. https://doi.org/10.1007/s40751-025-00172-1

Rigaud Téllez, N., Rayón Villela, P., y Blanco Bautista, R. (2024). Evaluating ChatGPT-generated linear algebra formative assessments. International Journal of Interactive Multimedia and Artificial Intelligence, 8(5), 75-82. https://doi.org/10.9781/ijimai.2024.02.004

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

Siregar, T. (2025). Application of GeoGebra for teaching mathematics. Preprints.org. https://www.preprints.org/frontend/manuscript/b21ecc5c71e6dcb7f9dcf72ff6051d62/download_pub

Tristán-López, A. (2008). Modificación al modelo de Lawshe para el dictamen cuantitativo de la validez de contenido de un instrumento objetivo. Avances en Medición, 6(1), 37-48. https://www.humanas.unal.edu.co/lab_psicometria/application/files/9716/0463/3548/VOL_6._Articulo4_Indice_de_validez_de_contenido_37-48.pdf

Published
2026-09-01