An instrumental orchestration for online course at the university level

Authors

DOI:

https://doi.org/10.32870/Ap.v13n2.2085

Keywords:

Instrumental orchestration, dynamic geometry environment, linear algebra, mathematics education, online course

Abstract

In this article, we present a proposal for instrumental orchestration that organizes the use of technological environments in online mathematics education, in the synchronous mode for the concepts of eigenvalue and eigenvector of a first linear algebra course with engineering students. We used the instrumental orchestration approach as a theoretical framework to plan and organize the artefacts involved in the environment (didactic configuration) and the ways in which they are implemented (exploitation modes). The activities were designed using interactive virtual didactic scenarios, in a dynamic geometry environment, guided exploration worksheets with video and audio recordings of the work of the students, individually or in pairs. The results obtained are presented and the orchestrations of a pedagogical sequence to introduce the concepts of eigenvalue and eigenvector are briefly discussed. This work allowed us to identify new instrumental orchestrations for online mathematics education.

Author Biographies

  • José Orozco-Santiago, National Polytechnic Institute
    Profesor de matemática en el Instituto Politécnico Nacional. Sus intereses de investigación incluyen el uso de la tecnología en la enseñanza de las matemáticas, Investigación Basada en Diseño, Trayectorias de Aprendizaje, Educación Matemática Realista.
  • Carlos Armando Cuevas-Vallejo, Center for Research and Advanced Studies of the National Polytechnic Institute

    ARMANDO CUEVAS-VALLEJO is a professor of Mathematics Education at the Centre for Research and Advanced Studies (Cinvestav-IPN) in Mexico City. His research interest included: Design and application of digital learning environments for the development and understanding of mathematics and science; didactics of mathematics and physics; calculus and linear algebra

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Published

2021-09-23

Issue

Vol. 13 No. 2 (2021): Online tools: towards strengthening education

Section

Research articles

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