Conflict among school of thought in mathematics: exploring potentialities to improve the teaching of mathematics and physics
We explore some aspects of the rival conceptions on the foundations of mathematics appeared during the first half of the twentieth century. We consider the conceptions respectively adopted by the four following schools of thought: the logicist school, the intuicionist school, the formalist school an...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universidade Federal do Rio Grande do Sul
2003-01-01
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| Series: | Investigações em Ensino de Ciências |
| Subjects: | |
| Online Access: | http://www.if.ufrgs.br/ienci/artigos/Artigo_ID97/v8_n1_a2003.pdf |
| _version_ | 1818067325928079360 |
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| author | Bernardo Leopardi Gonçalves B. Bastos Jenner Barretto Bastos Filho |
| author_facet | Bernardo Leopardi Gonçalves B. Bastos Jenner Barretto Bastos Filho |
| author_sort | Bernardo Leopardi Gonçalves B. Bastos |
| collection | DOAJ |
| description | We explore some aspects of the rival conceptions on the foundations of mathematics appeared during the first half of the twentieth century. We consider the conceptions respectively adopted by the four following schools of thought: the logicist school, the intuicionist school, the formalist school and the school based on the set theory foundations. We argue in favor of the great potentialities that this debate can give rise to the improvement of mathematics and physics teachings. We search connections with the quantum mechanics teaching and with the concept of meaningful learning. Some aspects of the great plurality of meanings of the term intuition are discussed. |
| first_indexed | 2024-12-10T15:21:54Z |
| format | Article |
| id | doaj.art-e0bb6797ca034f00aee7ee3a0cb2fc23 |
| institution | Directory Open Access Journal |
| issn | 1518-8795 |
| language | English |
| last_indexed | 2024-12-10T15:21:54Z |
| publishDate | 2003-01-01 |
| publisher | Universidade Federal do Rio Grande do Sul |
| record_format | Article |
| series | Investigações em Ensino de Ciências |
| spelling | doaj.art-e0bb6797ca034f00aee7ee3a0cb2fc232022-12-22T01:43:39ZengUniversidade Federal do Rio Grande do SulInvestigações em Ensino de Ciências1518-87952003-01-01815390Conflict among school of thought in mathematics: exploring potentialities to improve the teaching of mathematics and physicsBernardo Leopardi Gonçalves B. BastosJenner Barretto Bastos FilhoWe explore some aspects of the rival conceptions on the foundations of mathematics appeared during the first half of the twentieth century. We consider the conceptions respectively adopted by the four following schools of thought: the logicist school, the intuicionist school, the formalist school and the school based on the set theory foundations. We argue in favor of the great potentialities that this debate can give rise to the improvement of mathematics and physics teachings. We search connections with the quantum mechanics teaching and with the concept of meaningful learning. Some aspects of the great plurality of meanings of the term intuition are discussed.http://www.if.ufrgs.br/ienci/artigos/Artigo_ID97/v8_n1_a2003.pdfschools of thought of mathematicsmathematics teachingphysics teaching |
| spellingShingle | Bernardo Leopardi Gonçalves B. Bastos Jenner Barretto Bastos Filho Conflict among school of thought in mathematics: exploring potentialities to improve the teaching of mathematics and physics Investigações em Ensino de Ciências schools of thought of mathematics mathematics teaching physics teaching |
| title | Conflict among school of thought in mathematics: exploring potentialities to improve the teaching of mathematics and physics |
| title_full | Conflict among school of thought in mathematics: exploring potentialities to improve the teaching of mathematics and physics |
| title_fullStr | Conflict among school of thought in mathematics: exploring potentialities to improve the teaching of mathematics and physics |
| title_full_unstemmed | Conflict among school of thought in mathematics: exploring potentialities to improve the teaching of mathematics and physics |
| title_short | Conflict among school of thought in mathematics: exploring potentialities to improve the teaching of mathematics and physics |
| title_sort | conflict among school of thought in mathematics exploring potentialities to improve the teaching of mathematics and physics |
| topic | schools of thought of mathematics mathematics teaching physics teaching |
| url | http://www.if.ufrgs.br/ienci/artigos/Artigo_ID97/v8_n1_a2003.pdf |
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