La Resolución de Problemas Matemáticos y el Uso de Tecnología Digital en el Diseño de Libros Interactivos

  1. Manuel Santos-Trigo 1
  2. Matías Camacho-Machín 2
  1. 1 Centro de Investigación y de Estudios Avanzados
    info

    Centro de Investigación y de Estudios Avanzados

    Mexico, México

    ROR 009eqmr18

  2. 2 Universidad de La Laguna
    info

    Universidad de La Laguna

    San Cristobal de La Laguna, España

    ROR https://ror.org/01r9z8p25

Journal:
Educatio siglo XXI: Revista de la Facultad de Educación

ISSN: 1989-466X 1699-2105

Year of publication: 2018

Issue Title: Resolución de problemas matemáticos: Tecnologías Digitales, Procesos Cognitivos y Metacognitivos y Formación de Profesores de Matemáticas

Volume: 36

Issue: 3

Pages: 21-40

Type: Article

DOI: 10.6018/J/349451 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Educatio siglo XXI: Revista de la Facultad de Educación

Sustainable development goals

Abstract

Textbooks are an essential resource that teachers use to organize and guide their students’ learning of mathematics. In general, textbooks help students review and extend their knowledge of the themes that they study in their courses. Digital technology developments are transforming the ways in which textbooks are designed since this technology fosters the inclusion of interactive activities where students can consult videos to review and extend concepts, access and discuss online materials and share and discuss ideas or problem solving approaches within a learning community that include their peers or other students. In this article, we present a framework that aims to help teachers design interactive textbooks via the identification of main problem solving episodes such as understanding the problem statement and the construction of dynamic representations, looking for different ways to solve the problem, extending the initial problem, and communicating results

Bibliographic References

  • Johnson, H. L., Coles, A. & Clarke, D. (2017). Mathematical tasks and the student: Navigating “tensions of intentions” between designers, teachers, and students. ZDM Mathematics Education, 49: 813-822. DOI 10.1007/s11858-017-0894-0
  • Leung, A. (2008). Dragging in a dynamic geometry environment through the lens of variation. Int J Comput Math Learning, 13: 135-157. DOI 10.1007/s10758-008-9130-x
  • Leung, A. (2017). Exploring techno-pedagogic task design in the mathematics classroom. En A. Leung & A. Baccaglini-Frank (eds.), Digital technologies in designing mathematics education tasks, pp. 3-16. DOI 10.1007/978-3-319-43423-0. Switzerland: Springer.
  • Howson, G. (2013) The development of mathematics textbooks: historical reflections from a personal perspective. ZDM Mathematics Education, 45:646-658. DOI 10.1007/s11858-013-0511-9.
  • Santos-Trigo, M. (2014a). Problem solving in mathematics education. En S. Lerman (ed.), Encyclopedia of Mathematics Education (pp. 496-501). NY: Springer.
  • Santos-Trigo, M. & Reyes, I. (2016) El Estudio de fenómenos de variación y el empleo de herramientas digitales. https://itunes.apple.com/do/book/interactive-problem-solving-activity-cat-ladder/id688897073?mt=11
  • Santos-Trigo, M y Camacho-Machín, M. (2013). Framing the use of technology in problem solving approaches. The Mathematics Enthusiast, 10(1-2), 279-302
  • Santos-Trigo, M. & Reyes-Martínez, I. (2014). The coordinated use of digital technology in learning environments. In L. Uden et al. (Eds.), Learning Technology for Education in Cloud (pp. 61-71). Communication in Computer and Information Science, 446. NY: Springer.
  • Schoenfeld, A. H. & Kilpatrick, J. (2008). Toward a theory of proficiency in teaching mathematics. In T. Wood & D. Tirosh (eds.), International handbook of mathematics teacher education: Vol. 2. Tools and processes in mathematics teacher education, pp: 321-354. Rotterdam, The Netherlands: Sense Publishers.
  • Watson, A. & Ohtani, M. (2015). Themes and issues in mathematics education concerning task design: Editorial introduction. En, A. Watson & M. Ohtani (eds.), Task design in mathematics education, pp. 3-15: DOI 10.1007/978-3-319-09629-2_1. London: Springer.