Biblioteca Digital de VanguardiaMATHEMATICAL INFINITY INTERPRETED THROUGH GE-NETIC EPISTEMOLOGY
In this report, we present a study about the mathematical infinity with regard to the Genetic Epistemology. Through the Piagetian clinical method, an explorato-ry study was carried out to understand the different conceptions about the mathematical infinity. The subjects were between 13 and 73 years...
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| Formato: | info:eu-repo/semantics/article |
| Lenguaje: | Portugués |
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Faculdade de Filosofia e Ciências
2018
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| Acceso en línea: | https://revistas.marilia.unesp.br/index.php/scheme/article/view/8177 http://biblioteca-repositorio.clacso.edu.ar/handle/CLACSO/71325 |
| _version_ | 1782336534616211456 |
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| author | BERTOLOCCI, Cristina Cavalli |
| author_facet | BERTOLOCCI, Cristina Cavalli |
| author_sort | BERTOLOCCI, Cristina Cavalli |
| collection | Repositorio |
| description | In this report, we present a study about the mathematical infinity with regard to the Genetic Epistemology. Through the Piagetian clinical method, an explorato-ry study was carried out to understand the different conceptions about the mathematical infinity. The subjects were between 13 and 73 years old and they have been addressed to manipulate concrete experiments and then have been asked to respond to a semi-structured interview. Using mathematical tests in which the results tend to infinity or to very large numbers, we notice how the subject faces a feasibility issue without having a concrete material to handle. Regarding the results, we find out three levels of understanding on the theme: Inconceivable Existence, Existence little conceivable and Infinite as a representa-tion of something that has no end. We found that the notion of the mathemati-cal infinity did not depend on age, degree of education or professional area of the participants and we conclude that this notion is constructed by different levels of the thought. The presented study could be useful for teachers of basic and higher education, since it exposes how the interviewees organize its thoughts when facing the addressed issues. |
| format | info:eu-repo/semantics/article |
| id | clacso-CLACSO71325 |
| institution | CLACSO, Repositorio Digital |
| language | Portugués |
| publishDate | 2018 |
| publisher | Faculdade de Filosofia e Ciências |
| record_format | greenstone |
| spelling | clacso-CLACSO713252022-03-21T17:32:16Z MATHEMATICAL INFINITY INTERPRETED THROUGH GE-NETIC EPISTEMOLOGY INTERPRETAÇÕES DO INFINITO MATEMÁTICO A PARTIR DA EPISTEMOLOGIA GENÉTICA BERTOLOCCI, Cristina Cavalli Mathematical Infinity Genetic Epistemology Mathematical Thinking Piagetian Clinical Method Infinito Matemático Epistemologia Genética Pensamento Matemático Método Clínico Piagetiano In this report, we present a study about the mathematical infinity with regard to the Genetic Epistemology. Through the Piagetian clinical method, an explorato-ry study was carried out to understand the different conceptions about the mathematical infinity. The subjects were between 13 and 73 years old and they have been addressed to manipulate concrete experiments and then have been asked to respond to a semi-structured interview. Using mathematical tests in which the results tend to infinity or to very large numbers, we notice how the subject faces a feasibility issue without having a concrete material to handle. Regarding the results, we find out three levels of understanding on the theme: Inconceivable Existence, Existence little conceivable and Infinite as a representa-tion of something that has no end. We found that the notion of the mathemati-cal infinity did not depend on age, degree of education or professional area of the participants and we conclude that this notion is constructed by different levels of the thought. The presented study could be useful for teachers of basic and higher education, since it exposes how the interviewees organize its thoughts when facing the addressed issues. Neste relato apresenta-se um estudo sobre o infinito matemático a luz da Epis-temologia Genética. A partir do método clinico piagetiano, realizou-se um es-tudo exploratório para conhecer as diferentes concepções sobre o tema. Os su-jeitos participantes tinham entre 13 e 73 anos de idade, manipularam experi-mentos concretos e responderam a uma entrevista semi estruturada. A partir das atividades concretas, que conduziam a resultados infinitos ou a números muito grandes, observou-se como o sujeito encara a possibilidade sem a materi-alidade. Como resultados encontramos três níveis de entendimento sobre o te-ma: Existência Inconcebível do conceito, Existência pouco previsível e Infinito como representação de algo que não tem fim. A noção de infinito matemático não depen-deu da idade, grau de instrução ou área de atuação dos participantes, concluin-do-se que tal noção é construída por diferentes patamares de pensamento. O estudo apresentado torna-se proveitoso a professores da escola básica e de nível superior, uma vez que expõe a organização de pensamento dos entrevistados sobre tema investigado. 2018-08-30 2022-03-21T17:32:16Z 2022-03-21T17:32:16Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion https://revistas.marilia.unesp.br/index.php/scheme/article/view/8177 10.36311/1984-1655.2018.v10n1.08.p183 http://biblioteca-repositorio.clacso.edu.ar/handle/CLACSO/71325 por https://revistas.marilia.unesp.br/index.php/scheme/article/view/8177/5240 application/pdf Faculdade de Filosofia e Ciências Schème: Revista Eletrônica de Psicologia e Epistemologia Genéticas; v. 10 n. 1 (2018); 183-203 1984-1655 |
| spellingShingle | Mathematical Infinity Genetic Epistemology Mathematical Thinking Piagetian Clinical Method Infinito Matemático Epistemologia Genética Pensamento Matemático Método Clínico Piagetiano BERTOLOCCI, Cristina Cavalli MATHEMATICAL INFINITY INTERPRETED THROUGH GE-NETIC EPISTEMOLOGY |
| title | MATHEMATICAL INFINITY INTERPRETED THROUGH GE-NETIC EPISTEMOLOGY |
| title_full | MATHEMATICAL INFINITY INTERPRETED THROUGH GE-NETIC EPISTEMOLOGY |
| title_fullStr | MATHEMATICAL INFINITY INTERPRETED THROUGH GE-NETIC EPISTEMOLOGY |
| title_full_unstemmed | MATHEMATICAL INFINITY INTERPRETED THROUGH GE-NETIC EPISTEMOLOGY |
| title_short | MATHEMATICAL INFINITY INTERPRETED THROUGH GE-NETIC EPISTEMOLOGY |
| title_sort | mathematical infinity interpreted through ge-netic epistemology |
| topic | Mathematical Infinity Genetic Epistemology Mathematical Thinking Piagetian Clinical Method Infinito Matemático Epistemologia Genética Pensamento Matemático Método Clínico Piagetiano |
| url | https://revistas.marilia.unesp.br/index.php/scheme/article/view/8177 http://biblioteca-repositorio.clacso.edu.ar/handle/CLACSO/71325 |