Proyecto para mejorar el aprendizaje de la integral utilizando tecnologías de la información

José Oscar Laguna Cortés; Selene Hernández Rodríguez; Erika López Sánchez; María Patricia Torrijos Muñoz; Yaziry Yerusha Díaz Torres

doi:10.61117/ipsumtec.v9i2.479

Authors

José Oscar Laguna Cortés National Technological Institute of Mexico
Selene Hernández Rodríguez National Technological Institute of Mexico
Erika López Sánchez National Technological Institute of Mexico
María Patricia Torrijos Muñoz National Technological Institute of Mexico
Yaziry Yerusha Díaz Torres National Technological Institute of Mexico

DOI:

https://doi.org/10.61117/ipsumtec.v9i2.479

Keywords:

Area under the curve, definite integral, definite integralbiological growth rates

Abstract

Nowadays, the use of Information Technologies has facilitated the learning of mathematics topics. This paper presents the implementation of a project within an Integral Calculus course designed to reinforce the teaching of the area under the curve and definite integrals through an application in biology. A descriptive and quantitative approach was adopted to evaluate the project's performance. The descriptive component aimed to measure and assess the impact of this teamwork project on improving topic comprehension through the integration of information technologies. A quantitative approach was used to numerically measure and evaluate the impact of this presentation-based project on engineering students. Three instruments were used for these measurements: a pre-test administered before the project began a similar post-test administered after the students completed the project, and a survey to gauge the students' experience following the project's completion. The Results section presents a comparative table showing the group's overall average, median, and mode scores obtained before and after the project's implementation. Graphs illustrating the percentage breakdown of student opinions from the survey are also included. These results indicate an improvement in the group's overall understanding as well as greater consistency in student grades.

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Author Biographies

José Oscar Laguna Cortés , National Technological Institute of Mexico

Dr. José Oscar Laguna Cortés is a Full-Time Professor and Researcher in the Department of Basic Sciences at the National Technological Institute of Mexico/Technological Institute of Puebla. He holds a PhD in Education with a specialization in Engineering from the Tolteca University of Mexico. His research focuses on mathematics, chemistry, probability and statistics, computer science, and project management. He is a member of the National System of Researchers (SNII) at Level I and has published 12 articles nationally and 6 articles internationally. He coordinates one of the research lines for projects at the TECNM (ITP) and has 10 years of experience in the manufacturing industry.

Selene Hernández Rodríguez, National Technological Institute of Mexico

Dr. Selene Hernández Rodríguez is a full-time professor and researcher in the Department of Basic Sciences at the National Technological Institute of Mexico/Technological Institute of Puebla. With a PhD in Computer Science, her research focuses on mathematics, probability and statistics, and computer science. She has published eight articles nationally and three internationally, serves as a reviewer and judge for national project competitions, and advises on events organized by the Department of Basic Sciences at the TECNM (ITP), such as the State Knowledge Conferences. She has five years of experience in programming.

Erika López Sánchez , National Technological Institute of Mexico

Erika López Sánchez holds a degree in Biochemical Engineering and a Master's degree in Engineering from the National Technological Institute of Mexico / Technological Institute of Puebla. She is affiliated with the Department of Postgraduate Studies and Research at the same institute, where she teaches in the area of basic sciences. Her academic work focuses on teaching mathematics in engineering, teaching and learning processes, and the integration of educational technologies. Her research interests center on microorganisms applied to soil. She has published seven articles in peer-reviewed and indexed journals in the last six years.

María Patricia Torrijos Muñoz, National Technological Institute of Mexico

Dr. María Patricia Torrijos Muñoz is a Full-Time Professor and Researcher in the Department of Basic Sciences at the National Technological Institute of Mexico/Technological Institute of Puebla. She holds a PhD in Educational Research from the University of Puebla, and her research focuses on probability and statistics, chemistry, and inferential statistics. She is a member of the PRODEP program (Professors with a Desirable Profile) and has published 11 articles in peer-reviewed and indexed journals in Mexico and 2 articles internationally. She coordinates tutoring at the TECNM (ITP) and has five years of experience in the manufacturing industry.

Yaziry Yerusha Díaz Torres , National Technological Institute of Mexico

Yaziry Yerusha Díaz Torres, a Mechanical Engineering student, studies at the Basic Sciences building of the National Technological Institute of Mexico/Technological Institute of Puebla. She is currently in her fifth semester. Her areas of expertise and interest include mathematics, chemistry, physics, probability and statistics, inferential statistics, design, maintenance, and projects. She has co-authored two national and one international publication and has participated in Basic Sciences competitions and the State Knowledge Days at the TECNM (ITP) since 2023.

References

Xuhan Luo, Boxuan Li, Jinmei Liu, Shhong Ma, Xinyuan Wei, Yan Cen. (2025). Elevating Learning Effectiveness in Solid-State Physics Through Interactive Software and Stereoscopic Projection. IEEE Transactions on Education, Volume 68, Issue 2, pages 224-233. DOI: https://doi.org/10.1109/TE.2025.3545696 DOI: https://doi.org/10.1109/TE.2025.3545696

Molina Mora, J. A. (2015). Experiencia basada en la triada TICs, enseñanza por proyectos y modelado para la enseñanza de sistemas de ecuaciones diferenciales. Uniciencia, Vol. 29, No. 2, pp. 46-61. DOI: http://dx.doi.org/10.15359/ru.29-2.4 DOI: https://doi.org/10.15359/ru.29-2.4

Navarrete-Villavicencio, M. V., Merino-Córdova, P. A., Estupiñán-Cox, B. F. & Caicedo-Márquez, J. A. (2022). Geogebra as a technological-didactic tool in learning integral calculus. Sapienza: International Journal of Interdisciplinary Studies, 3(1), 902–910. DOI: https://doi.org/10.51798/sijis.v3i1.271 DOI: https://doi.org/10.51798/sijis.v3i1.271

Martínez, E., Arrieta, J, y Canul, A. (2005). Laboratorio virtual de Matemáticas (ALME2005). Acta Latinoamericana de Matemática Educativa, vol. 18, pp. 785-790. https://core.ac.uk/download/pdf/33252591.pdf

Puga Nathal, K. L., Martínez Sandoval, J. C., Puga Nathal, M. E. y Martínez Grant, J. A. (2023). Implementación de un laboratorio virtual para Matemáticas. Revista electrónica ANFEI digital. 10(15). DOI: https://www.anfei.mx/revista/index.php/revista/article/view/88

Ponce Herrera, G.., López Valdivia, F. S.., Canales Urrutia, C. I.., Medina Martínez, W. I.., & Herrera Castrillo, C. J. (2023). Implementación de la Integral Definida para el análisis de la viscosidad de fluidos. Wani, 39(79), 62-77. DOI: https://doi.org/10.5377/wani.v39i79.16921 DOI: https://doi.org/10.5377/wani.v39i79.16921

Yam Puc, M. Y. y Loria Arjona, D. A. (2022). El uso de herramientas digitales como modelo Virtual de enseñanza aprendizaje del cálculo Integral. Revista electrónica ANFEI digital. 9(14). DOI: https://www.anfei.mx/revista/index.php/revista/article/view/847

Laderas Huillcahuari, E., Acori Flores, V. y Villa Pérez, L. (2023). Enseñanza del cálculo diferencial e integral asistido por el software GeoGebra. Revista Latinoamericana de Investigación en Matemática Educativa 26(3), 357 - 377. DOI: https://doi.org/10.12802/relime.23.2634. DOI: https://doi.org/10.12802/relime.23.2634

Sánchez Companioni, W., Pérez González, A., Remedios González, J.M. (2023). ”Estrategia didáctica para desarrollar la habilidad calcular integrales definidas desde un aprendizaje creativo”. e3007. ISSN. 1815-7696 RNPS 2057 -- MENDIVE Vol. 21 No. 1 (enero-marzo). Disponible en: DOI: https://mendive.upr.edu.cu/index.php/MendiveUPR/article/view/3007

Agüeno Lara M., Romero-Ocaño A. D., Encinas-Montoya R.G., (2025). Efectos de la Tecnología Interactiva en Formación Matemática de Ingenieros Una Perspectiva en Educación Superior. Revista Electrónica ANFEI Digital, Año 12, No. 17, Enero – Diciembre 2025, ISSN: 2395-9878. DOI: DOI: https://doi.org/10.63136/read1720251020pp22-32

https://doi.org/10.63136/read1720251020pp22-32 DOI: https://doi.org/10.63136/read1720251020pp22-32

Cornelis J. C. Vertegaal, Martinez Cecilia, Serra Ramiro, Sundaramoorthy Prem, Bentum Mark. (2025). Student – Led Tutorials Interaction and Learning in Electromagnetism. IEEE Transactions on Education, Volume 68, Issue 2, pages 234-247. DOI: DOI: https://doi.org/10.1109/TE.2025.3549317

https://doi.org/10.1109/TE.2025.3549317 DOI: https://doi.org/10.1109/TE.2025.3549317

Fukumoto Hisao & Kamio Tomoki. (2025). Development and Evaluation of Remote Laboratory System for Simulated Inductor Motor. IEEE Transactions on Education, Volume 68, Issue 1, pages 79-85. DOI: DOI: https://doi.org/10.1109/TE.2024.3454236

https://doi.org/10.1109/TE.2024.3454236 DOI: https://doi.org/10.1109/TE.2024.3454236

Gunis Jan & Snajder L’ubomir. (2025). Formal Concept Analysis of Studentsߣ Solutions on Conceptual Thinking Game. Electromagnetism. IEEE Transactions on Education, Volume 68, Issue 1, pages 20-32. DOI: https://doi.org/10.1109/TE.2024.3442612 DOI: https://doi.org/10.1109/TE.2024.3442612

Osuna Talamantes D. A., López-Chacón D. E., Tiznado-Parra G. E., Gerónimo-Pérez J. M. (2025). Transformando la Educación Universitaria: Impacto de la Inteligencia Artificial en el Aprendizaje. Revista Electrónica ANFEI Digital, Año 12, No. 17, Enero – Diciembre 2025, ISSN: 2395-9878. DOI: DOI: https://doi.org/10.63136/read1720251022pp42-52

https://doi.org/10.63136/read1720251022pp42-52 DOI: https://doi.org/10.63136/read1720251022pp42-52

Viñamagua, G., Quishpe, R., Paucar, E., Castillo, S., & Congreso, I. (2023). Mathematical Simulators for the Study of the Integral Calculus of Engineering Students. ESPOCH Congresses: The Ecuadorian Journal of S.T.E.A.M. 3(1), 490–509. https://doi.org/10.18502/espoch.v3i1.14469 DOI: https://doi.org/10.18502/espoch.v3i1.14469

Susilowati, R., Yuliani, A. M., & Farida, N. (2026). Development and validation of a GeoGebra classroom–integrated interactive e-module for enhancing students’ conceptual understanding of integral calculus. Jurnal Elemen, 12(2), 409-427. https://doi.org/10.29408/jel.v12i2.32431 DOI: https://doi.org/10.29408/jel.v12i2.32431

Milenković, A., Takači, D., & Božić, R. (2024). The influence of dynamic representations in mobile applications on students’ learning achievements in solving multiple integrals. International Journal of Education in Mathematics, Science, and Technology (IJEMST), 12(5), 1340-1359. https://doi.org/10.46328/ijemst.4246 DOI: https://doi.org/10.46328/ijemst.4246

Rasteiro, D., Caridade, C. M. R., Pinto, C. M., Mendonça, J., Ulbrich, E., Nikolopoulos, C. D., Babo, L., Kocadere, S. A., & Petridis, K. (2024). Integrals Applications: A STEAM Activity to Teach/Learn Mathematics in Higher Education. 2024 5th International Conference in Electronic Engineering, Information Technology & Education (EEITE), 1-5. https://doi.org/10.1109/eeite61750.2024.10654423 DOI: https://doi.org/10.1109/EEITE61750.2024.10654423

Caridade, C., Casquilho, M., Pereira, V., & Martins, J. A. (2025). The Web as a Laboratory for Integral Calculus: Solving Area Problems Between Curves. World Journal of Information Systems. 1(4) 33-45. DOI: https://doi.org/10.17013/wjis.v1i4.25 DOI: https://doi.org/10.17013/wjis.v1i4.25

Abdullah, A. H., Misrom, N. S., Kohar, U. H., Hamzah, M. H., Ashari, Z. M., Ali, D. F., Samah, N. A., Tahir, L. M., & Rahman, S. N. (2020). The effects of an inductive reasoning learning strategy assisted by the GeoGebra software on students’ motivation for the functional graph II topic. IEEE Access, 8, 143848–143861. DOI: https://doi.org/10.1109/ACCESS.2020.3014202

https://doi.org/10.1109/ACCESS.2020.3014202 DOI: https://doi.org/10.1109/ACCESS.2020.3014202

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. DOI: https://doi.org/10.1080/10494820.2021.2016861

https://doi.org/10.1080/10494820.2021.2016861 DOI: https://doi.org/10.1080/10494820.2021.2016861

Larson Ron & Edwards Bruce. (2018). Cálculo Integral. Cengage Learning, México.

Zill Dennis, Wright Warren, Ibarra Joel. (2011). Matemáticas 2 Cálculo Integral. Mc. Graw Hill, México.