Examples of Concepts Representations in the Main Content Lines of an Alternative Course of Mathematics in High School

  • Andrey Lavrenov Saint Petersburg Electrotechnical University, 5, building 3, st. Professora Popova, 197022, Saint Petersburg, Russia
  • Sergei Pozdniakov Saint Petersburg Electrotechnical University, 5, building 3, st. Professora Popova, 197022, Saint Petersburg, Russia http://orcid.org/0000-0002-1899-9145
Keywords: digital environment, introduction of mathematical concepts, correcting courses, computer tools, introduction of a derivative

Abstract

The article considers an example of building a course for correcting knowledge in mathematics obtained in high school when moving to a university. The purpose of the experiment is to introduce students to the university course of mathematics with a parallel repetition of those sections of school mathematics that determine the success of mastering the university program. The developed course implements the following methodological approach — the creation of integral teaching materials that combine various representations of mathematical concepts. The integrity of such teaching materials is manifested in the use of connections between mathematics and theoretical informatics, the connections of various sections of mathematics with each other using a variety of computer tools available to schoolchildren. The possibilities of dynamical geometry are analyzed and discussed in detail when the concept of derivative is introduced.

Author Biographies

Andrey Lavrenov, Saint Petersburg Electrotechnical University, 5, building 3, st. Professora Popova, 197022, Saint Petersburg, Russia

Postgraduate, Assistant of the Algorithmic Mathematics Department, Saint Petersburg Electrotechnical University avlavrenov@etu.ru

Sergei Pozdniakov, Saint Petersburg Electrotechnical University, 5, building 3, st. Professora Popova, 197022, Saint Petersburg, Russia

Doctor of Sciences (Pedagogy), Professor of the Algorithmic Mathematics Department, Saint Petersburg Electrotechnical University, pozdnkov@gmail.com

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Published
2022-12-28
How to Cite
Lavrenov, A., & Pozdniakov, S. (2022). Examples of Concepts Representations in the Main Content Lines of an Alternative Course of Mathematics in High School. Computer Tools in Education, (4), 104-123. https://doi.org/10.32603/2071-2340-2022-4-104-123
Section
Computers in the teaching process