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The Use of Analogy to Simplify the Mathematical Description of the Didactical Process

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Information and Communication Technologies in Education, Research, and Industrial Applications (ICTERI 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1175))

Abstract

The article presents a new method of modelling the didactical process using a developed educational network and the microsystems simulator. The didactical process can be represented in the intuitive form of a network of connected elements in a similar way to the electrical circuits. The network represents the differential equations describing a dynamic system which models the information flows as well as learning and forgetting phenomena. The solutions of the equations are more adequate than the direct formulas used in modelling i.e. the learning and forgetting curves known from the literature. The network variables and their meaning are relative to generalized variables defined in the generalized environment. This enables using any of the microsystems simulators and gives access to many advanced simulation and optimization algorithms. The use of the microsystems simulator enables simulation of the didactical process in time and prediction of effects also after its completion in the long-term. Based on the simulation, you can design a teaching process, as well as draw conclusions about the process itself and the composition of groups. Selected examples with a brief description have been included. The issues discussed in the work may be of interest to those involved in the analysis and mathematical description of the didactic process. The paper can be interesting for those who deal with modelling of the systems which incorporates the learning and forgetting process, in particular, in production processes or learning platforms.

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Authors and Affiliations

  1. Faculty of Social Sciences, Jan Kochanowski University, Słowackiego 114/118, 97-300, Piotrków Trybunalski, Poland

    Paweł Plaskura

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  1. Paweł Plaskura
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Correspondence to Paweł Plaskura .

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Editors and Affiliations

  1. Zaporizhzhia National University, Zaporizhzhia, Ukraine

    Vadim Ermolayev

  2. Université Cote d’Azur, Nice, France

    Frédéric Mallet

  3. University of Warmia and Mazury in Olsztyn, Olsztyn, Poland

    Vitaliy Yakovyna

  4. University of Klagenfurt, Klagenfurt am Wörthersee, Austria

    Heinrich C. Mayr

  5. Kherson State University, Kherson, Ukraine

    Aleksander Spivakovsky

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Plaskura, P. (2020). The Use of Analogy to Simplify the Mathematical Description of the Didactical Process. In: Ermolayev, V., Mallet, F., Yakovyna, V., Mayr, H., Spivakovsky, A. (eds) Information and Communication Technologies in Education, Research, and Industrial Applications. ICTERI 2019. Communications in Computer and Information Science, vol 1175. Springer, Cham. https://doi.org/10.1007/978-3-030-39459-2_7

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  • DOI: https://doi.org/10.1007/978-3-030-39459-2_7

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