Didactic resources in the teaching of calculus in the digital era

Main Article Content

Juan de Dios Viramontes

Abstract

This reflection is based on the activities of the work group on Technology in Education of the EICAL 12 where the reflections generated in the conferences that are presented in groups are incorporated in a synthesized way, which were used as a starting point for the discussion, with the purpose to offer an overview of the use of technology in education. The development of the theme focuses on the didactic resources available for teaching calculus, starting from a general view of the role of the textbook, to focus on the way in which optimization problems are presented considering elements of the Theory Anthropology of the Didactic (TAD). This allows us to broaden our view of the resources offered on the network, showing phenomena associated with the information searches carried out by students to solve the different types of mathematical activities.

Article Details

How to Cite
Viramontes, J. de D. . (2022). Didactic resources in the teaching of calculus in the digital era. El cálculo Y Su enseñanza, 18(2), 1–14. https://doi.org/10.61174/recacym.v18i2.183
Section
Research Articles

References

Belhoste, B. (1994). Un modèle à l’épreuve. L’École Polytechnique de 1794 au Second Empire, La formation Polytechnicienne 1774–1999. En B. Belhoste, A. Dahan Dalmedico y A. Picon (eds.), 9–30, Dunod.

Castela, C., y Romo-Vázquez, A. (2011). Des mathématiques à l’automatique: étude des effets de transposition surla transformée deLaplace dans la formation des ingénieurs. Recherches en Didactique des Mathématiques. 31(1), 79-130.

Chase, R., Jacobs, F. y Aquilano N. (2005). Administración de la producción y operaciones (10a ed.). Mc Graw Hill.

Chevallard, Y. (2002). Organiser l'étude. En J-L. Dorier (Ed.), Actes de la 11éme École d'éte de didactique des mathématiques (pp. 3-22). la pensée Sauvage.

Chevallard, Y. (1999). L'analyse des pratiques enseignantes en Théorie Anthropologique du Didactique. Recherches en Didactique des Mathématiques, 19 (2), 221-266.

Gyllen, J., Stahovich, T., & Mayer, R. (2018). How students read an e-textbook in an engineering course. Journal of Computer Assisted Learning, 34(6), 701–712. https://doi.org/10.1111/jcal.12277

Martin, T., Smith, S., Brasiel, S., & Sorensen, I. (2017). Online Developmental Mathematics: Challenging Coursework Traditions. Journal of Developmental Education, 40(3), 8–12.

Martínez, E. (2014). Diseño de una secuencia didáctica basada en optimización para la enseñanza del Cálculo Diferencial en formación de ingenieros, (Tesis de maestría no publicada) CICATA-IPN.

Minichiello, A., Marx, S., McNeill, L., & Hailey, C. (2019). Exploring student study behaviors in engineering: how undergraduates prepared textbook problems for online submission. European Journal of Engineering Education, 44(1–2), 253–270. https://doi.org/10.1080/03043797.2018.1474342

Nelson-LeGall, S. (1981). Help-seeking: An understudied problem-solving skill in children. Developmental Reciew. 1(3), 224-246. doi: 10.1016/0273-2297(81)90019-8

Nelson-LeGall, S. (1985). Help-seeking behavior in learning. Review of Research in Education, 12(1), 55-90. doi: 10.2307/1167146

Newman, R. S., & Schwager, M. T. (1993). Students´ perceptions of the teacher and classmates in relation to reported help seeking in math class. The Elementary School Journal, 94(1), 3-17. doi: 10.1086/461747

O’Halloran, K. L., Beezer, R. A., & Farmer, D. W. (2018). A new generation of mathematics textbook research and development. ZDM - Mathematics Education, 50(5), 863–879. https://doi.org/10.1007/s11858-018-0959-8

Puustinen, M., Volckaert-Legrier, O., Coquin, D., & Bernicot, J. (2009). An analysis of students' spontaneous computer-mediated help seeking: A step toward the design of ecologically valid supporting tools. Computers & Education, 53(4), 1040-1047. doi: 10.1016/j.compedu. 2008.10.003

Romo, A. EICAL11. (22 de septiembre de 2020). Recursos tecnológicos en la red. El caso de los problemas típicos vs los problemas abiertos [Archivo de Video]. Youtube. https://www.youtube.com/watch?v=4cOeDMEX-Wo&list=PL883zdttugq5si-dJ4HMUuYEX92Sok06B&index=2

Sánchez, M. EICAL11. (22 de septiembre de 2020). Búsqueda de ayuda matemática: observando como los estudiantes universitarios usan la Internet para resolver una tarea matemática [Archivo de Video]. Youtube. https://www.youtube.com/watch?v=_LsG_jlLNb8&list=PL883zdttugq5si-dJ4HMUuYEX92Sok06B

Sánchez. M, y Esparza, D. (2020). Mathematical help-seeking: observing how undergraduate students use the Internet to cope with a mathematical task. ZDM - Mathematics Education, 52(5), 1003–1016. https://doi.org/10.1007/s11858-019-01120-1

Schubring, G., & Fan, L. (2018). Recent advances in mathematics textbook research and development: an overview. ZDM - Mathematics Education, 50(5), 765–771. https://doi.org/10.1007/s11858-018-0979-4

Van de Sande, C. (2001). A description and caracterization of student activity in an open, online, mathematics help forum. Educational Studies in Mathematics, 77(1), 53-78. doi: 10.1007/s10649-011-9300-y