Computational “Accompaniment” of the Introduction of New Mathematical Concepts
The computational capabilities of computer tools expand the student’s search capabilities. Conducting computational experiments in the classroom is no longer an organizational problem. This raises the “black box” problem, when the student perceives the computational module as a magician’s box and lo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-10-01
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| Series: | Computation |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2079-3197/11/10/194 |
| _version_ | 1797574194745049088 |
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| author | Andrey Lavrenov Elena Tolkacheva Sergei Pozdniakov |
| author_facet | Andrey Lavrenov Elena Tolkacheva Sergei Pozdniakov |
| author_sort | Andrey Lavrenov |
| collection | DOAJ |
| description | The computational capabilities of computer tools expand the student’s search capabilities. Conducting computational experiments in the classroom is no longer an organizational problem. This raises the “black box” problem, when the student perceives the computational module as a magician’s box and loses conceptual control over the computational process. This article analyses the use of various computer tools, both existing and specially created for “key” computational experiments, that aim at revealing the essential aspects of the introduced concepts using specific examples. This article deals with a number of topics of algebra and calculus that are transitional from school to university, and it shows how computational experiments in the form of a “transparent” box can be used. |
| first_indexed | 2024-03-10T21:20:27Z |
| format | Article |
| id | doaj.art-39e3a8551f5c411b8513f70bd34d5f43 |
| institution | Directory Open Access Journal |
| issn | 2079-3197 |
| language | English |
| last_indexed | 2024-03-10T21:20:27Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Computation |
| spelling | doaj.art-39e3a8551f5c411b8513f70bd34d5f432023-11-19T16:07:38ZengMDPI AGComputation2079-31972023-10-01111019410.3390/computation11100194Computational “Accompaniment” of the Introduction of New Mathematical ConceptsAndrey Lavrenov0Elena Tolkacheva1Sergei Pozdniakov2Department of Algorithmic Mathematics, Saint Petersburg Electrotechnical University “LETI”, ul. Professora Popova 5, 197022 St. Petersburg, RussiaDepartment of Algorithmic Mathematics, Saint Petersburg Electrotechnical University “LETI”, ul. Professora Popova 5, 197022 St. Petersburg, RussiaDepartment of Algorithmic Mathematics, Saint Petersburg Electrotechnical University “LETI”, ul. Professora Popova 5, 197022 St. Petersburg, RussiaThe computational capabilities of computer tools expand the student’s search capabilities. Conducting computational experiments in the classroom is no longer an organizational problem. This raises the “black box” problem, when the student perceives the computational module as a magician’s box and loses conceptual control over the computational process. This article analyses the use of various computer tools, both existing and specially created for “key” computational experiments, that aim at revealing the essential aspects of the introduced concepts using specific examples. This article deals with a number of topics of algebra and calculus that are transitional from school to university, and it shows how computational experiments in the form of a “transparent” box can be used.https://www.mdpi.com/2079-3197/11/10/194computationsmathematicsconceptual understandinghorizontal connections in learning |
| spellingShingle | Andrey Lavrenov Elena Tolkacheva Sergei Pozdniakov Computational “Accompaniment” of the Introduction of New Mathematical Concepts Computation computations mathematics conceptual understanding horizontal connections in learning |
| title | Computational “Accompaniment” of the Introduction of New Mathematical Concepts |
| title_full | Computational “Accompaniment” of the Introduction of New Mathematical Concepts |
| title_fullStr | Computational “Accompaniment” of the Introduction of New Mathematical Concepts |
| title_full_unstemmed | Computational “Accompaniment” of the Introduction of New Mathematical Concepts |
| title_short | Computational “Accompaniment” of the Introduction of New Mathematical Concepts |
| title_sort | computational accompaniment of the introduction of new mathematical concepts |
| topic | computations mathematics conceptual understanding horizontal connections in learning |
| url | https://www.mdpi.com/2079-3197/11/10/194 |
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