Digital Representations of Mathematical Objects in the Context of Various Forms of Representation of Mathematical Knowledge

  • Semjon F. Adlaj Federal Research Center “Informatics and Control” of the Russian Academy of Sciences, 40, Vavilov st., 119333, Moscow, Russia https://orcid.org/0000-0003-4219-7836
  • Sergey N. Pozdnyakov Saint Petersburg Electrotechnical University, 5, building 3, st. Professora Popova, 197376, Saint Petersburg, Russia
Keywords: information learning environment, artifacts, computer tools, knowledge representation, meanings, understanding, ReMath project.

Abstract

This article is devoted to a comparative analysis of the results of the ReMath project (Representing Mathematics with digital media), devoted to the study of digital representations of mathematical concepts. The theoretical provisions and conclusions of this project will be analyzed based on the theory of the information environment [1], developed with the participation of one of the authors of this article. The analysis performed in this work partially coincides with the conclusions of the ReMath project, but uses a different research basis, based mainly on the work of Russian scientists. It is of interest to analyze the work of the ReMath project from the conceptual positions set forth in this monograph and to establish links between concepts and differences in understanding the impact of computer tools (artifacts) on the process of teaching mathematics. At the same time, the authors dispute the interpretation of some issues in
Vygotsky’s works by foreign researchers and give their views on the types and functions of digital artifacts in teaching mathematics.

Author Biographies

Semjon F. Adlaj, Federal Research Center “Informatics and Control” of the Russian Academy of Sciences, 40, Vavilov st., 119333, Moscow, Russia

Scientific researcher, section of Stability Theory and Mechanics of Controlled Systems, Division of Complex Physical and Technical Systems Modeling, Federal Research Center “Informatics and Control”, Russian Academy of Sciences, semjonadlaj@gmail.com

Sergey N. Pozdnyakov, Saint Petersburg Electrotechnical University, 5, building 3, st. Professora Popova, 197376, Saint Petersburg, Russia

PhD, Head of Algorithmic Mathematics Department, Saint Petersburg Electrotechnical University, pozdnkov@gmail.com

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Published
2020-03-28
How to Cite
Adlaj, S. F., & Pozdnyakov, S. N. (2020). Digital Representations of Mathematical Objects in the Context of Various Forms of Representation of Mathematical Knowledge. Computer Tools in Education, (1), 58-86. https://doi.org/10.32603/2071-2340-2020-1-58-86
Section
Computers in the teaching process