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Classroom Methodologies for Teaching and Learning Ordinary Differential Equations: A Systemic Literature Review and Bibliometric Analysis

Author

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  • Esperanza Lozada

    (Departamento de Ciencias Básicas, Facultad de Ciencias, Universidad del Bío-Bío, Campus Fernando May, Chillán 3780000, Chile)

  • Carolina Guerrero-Ortiz

    (Instituto de Matemáticas, Pontificia Universidad Católica de Valparaíso, Blanco Viel 596, Cerro Baron, Valparaíso 2340000, Chile)

  • Aníbal Coronel

    (Departamento de Ciencias Básicas, Facultad de Ciencias, Universidad del Bío-Bío, Campus Fernando May, Chillán 3780000, Chile)

  • Rigoberto Medina

    (Departamento de Ciencias Exactas, Universidad de Los Lagos, Osorno 5290000, Chile)

Abstract

In this paper, we develop a review of the research focused on the teaching and learning of ordinary differential equations with the following three purposes: to get an overview of the existing literature of the topic, to contribute to the integration of the actual knowledge, and to define some possible challenges and perspectives for the further research in the topic. The methodology we followed is a combination of a systematic literature review and a bibliometric analysis. The contributions of the paper are given by the following: shed light on the latest research in this area, present a characterization of the actual research lines regarding the teaching and learning of ordinary differential equations, present some topics to be addressed in the next years and define a starting point for researchers who are interested in developing research in this field.

Suggested Citation

  • Esperanza Lozada & Carolina Guerrero-Ortiz & Aníbal Coronel & Rigoberto Medina, 2021. "Classroom Methodologies for Teaching and Learning Ordinary Differential Equations: A Systemic Literature Review and Bibliometric Analysis," Mathematics, MDPI, vol. 9(7), pages 1-40, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:7:p:745-:d:527346
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    Citations

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    Cited by:

    1. Seuk Wai Phoong & Seuk Yen Phoong & Shi Ling Khek, 2022. "Systematic Literature Review With Bibliometric Analysis on Markov Switching Model: Methods and Applications," SAGE Open, , vol. 12(2), pages 21582440221, April.
    2. Esperanza Lozada & Carolina Guerrero-Ortiz & Aníbal Coronel & Rigoberto Medina, 2023. "Proposal of a Mathematical Modelling Activity to Facilitate Students’ Learning of Ordinary Differential Equation Concepts," Sustainability, MDPI, vol. 15(16), pages 1-22, August.

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