Teaching the mathematical concept of limit through the use of artificial intelligence

Authors

DOI:

https://doi.org/10.56162/transdigital417

Keywords:

artificial intelligence, limits, differential calculus, high school

Abstract

The inclusion of technology in the classroom is a topic of debate, from the constant restrictions on its use within the classroom to the incorporation of technological resources to improve understanding of the topics. This research reflected on the importance of building a course mediated by artificial intelligence (AI) to create academic activities and content. In the specific case of this study, the content was reviewed by a differential calculus teacher at a general high school in Veracruz, Mexico. Each of the problems and exercises was adapted to the needs, preferences, and context of the students. To assess the impact of the instructional design, a quantitative method was used with the 58 participants in the experimental course. The results showed that participants performed outstandingly in both the procedural aspects and the conceptual notion of the limits of a function. This allows for promoting the use of AI to build contextualized lessons for students, with the aim of improving and encouraging their understanding of complex mathematical objects.

References

Ayuso-del Puerto, D., & Gutiérrez-Esteban, P. (2022). La Inteligencia Artificial como recurso educativo durante la formación inicial del profesorado. RIED. Revista Iberoamericana de Educación a Distancia, 25(2).

Baker, R., & Siemens, G. (2014). Educational data mining and learning analytics. En R. K. Sawyer (Ed.), The Cambridge Handbook of the Learning Sciences (pp. 253-273). Springer.

Baker, T., Smith, L., & Anissa, N. (2019). Educ-AI-tion rebooted? Exploring the future of artificial intelligence in schools and colleges. Página web oficial de Nesta. https://www.nesta.org.uk/report/education-rebooted/

Cardona, M. A., Rodríguez, R. J., & Ishmael, K. (2023). Artificial Intelligence and the Future of Teaching and Learning. Office of Educational Technology.

Duval, R. (1993). Registros de Representación Semiótica y Funcionamiento Cognitivo del Pensamiento. Annales de Didactique et de Sciencies Cognitives, 5, 37-65.

Goodfellow, I., Bengio, Y., & Courville, A. (2016). Deep Learning. MIT Press.

Herrera, H., Moreno-Beltrán, R., & Cuesta-Borges, A. (2024). Multiple representations in a high school differential calculus course through microlearning. REDIMAT-Journal of Research in Mathematics Education, 13(1), 87-110. http://dx.doi.org/10.17583/redimat.11314

Holmes, W., Bialik, M., & Fadel, C. (2019). Artificial Intelligence in Education: Promises and Implications for Teaching and Learning. Center for Curriculum Redesign.

Long, P., & Siemens, G. (2011). Penetrating the Fog: Analytics in Learning and Education. EDUCAUSE Review, 46(5), 30-40. https://er.educause.edu/articles/2011/9/penetrating-the-fog-analytics-in-learning-and-education

Luckin, R., Holmes, W., Griffiths, M., & Forcier, L. B. (2016). Intelligence Unleashed: An argument for AI in Education. Pearson.

Mitra, S., Dangwal, R., Chatterjee, S., Jha, S., Bisht, R. S., & Kapur, P. (2005). Acquisition of computing literacy on shared public computers: Children and the "hole in the wall". Australasian Journal of Educational Technology, 21(3). https://doi.org/10.14742/ajet.1328

Morantes-Moncada, G., Dugarte-Peña, E., & Herrera-Díaz, J. (2019). Perfil del aprendiz estratégico para el estudio de Cálculo Diferencial mediado por las TIC. Revista Logos, Ciencia & Tecnología, 11(3), 152-167.

Nkambou, R., Bourdeau, J., & Mizoguchi, R. (Eds.). (2010). Advances in Intelligent Tutoring Systems. Springer.

OECD. (2019). Future of Education and Skills 2030: OECD Learning Compass 2030. Página web oficial de Organización para la Cooperación y el Desarrollo Económico. https://www.oecd.org/education/2030-project/

RAE. (2024). Inteligencia Artificial. Página web oficial de la Real Academia Española. https://dle.rae.es/inteligencia#2DxmhCTm

Russell, S. J., & Norvig, P. (2020). Artificial Intelligence: A Modern Approach. Pearson.

Sevimli, E., (2016). Do calculus students demand technology integration into learning environment? case of instructional differences. International Journal of Educational Technology in Higher Education, 13(1), 1-18.

Tyack, D. B., & Cuban, L. (1995). Tinkering toward utopia: A century of public school reform. Harvard University Press.

Zawacki-Richter, O., Marín, V. I., Bond, M., & Gouverneur, F. (2019). Systematic review of research on artificial intelligence applications in higher education–Where are the educators? International Journal of Educational Technology in Higher Education, 16(1), 1-27.

Zimmerman, B. J. (2002). Becoming a self-regulated learner: An overview. Theory into Practice, 41(2), 64-70.

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Published

08-04-2025

How to Cite

Herrera López, H. (2025). Teaching the mathematical concept of limit through the use of artificial intelligence. Transdigital, 6(11), e417. https://doi.org/10.56162/transdigital417

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Research reports

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