New Philosophy of Mathematics: Implications for Mathematics Education

2009 ◽  
pp. 57-78
Keyword(s):  
Mathematics Education ◽  
Philosophy Of Mathematics

scholarly journals The Philosophy of Mathematics Education

2016 ◽  
Author(s):  
Paul Ernest ◽  
Ole Skovsmose ◽  
Jean Paul van Bendegem ◽  
Maria Bicudo ◽  
Roger Miarka ◽  
...  
Keyword(s):  
Mathematics Education ◽  
Philosophy Of Mathematics

Ockham's Razor And Plato's Beard: (Or, “The possible relevance of the philosophy of mathematics, and the problem of universals in particular, to the philosophy of mathematics education, and the problem of constructivism in particular”)

1995 ◽  
Vol 26 (3) ◽  
pp. 204-229
Author(s):  
William Of Ockham ◽  
Robert E. Orton
Keyword(s):  
Mathematics Education ◽  
Philosophy Of Mathematics ◽  
William Of Ockham ◽  
Ockham’S Razor ◽  
Ockham's Razor ◽  
The Dead ◽  
Research In Mathematics Education

William of Ockham responds from the dead to an article appearing in the January 1992 issue of the Journal for Research in Mathematics Education, in which Paul Cobb, Erna Yackel, and Terry Wood propose a “constructivist alternative to the representational view of mind.” Ockham, now a convert to Platonism, argues three points.

scholarly journals Topic Study Group No. 53: Philosophy of Mathematics Education

2017 ◽  
pp. 623-625
Author(s):  
Paul Ernest ◽  
Ladislav Kvasz ◽  
Maria Bicudo ◽  
Regina Möller ◽  
Ole Skovsmose
Keyword(s):  
Mathematics Education ◽  
Philosophy Of Mathematics ◽  
Study Group

scholarly journals Is mathematics created or discovered? Pre-service teachers’ perception on a classic enigma

2021 ◽  
Vol 2 (1) ◽  
pp. 23
Author(s):  
Vita Istihapsari ◽  
Rochmad Rochmad ◽  
Isnarto Isnarto
Keyword(s):  
Qualitative Research ◽  
Mathematics Education ◽  
Mathematics Teachers ◽  
Human Activities ◽  
Philosophy Of Mathematics ◽  
Structured Interview ◽  
First Year ◽  
Education Practice ◽  
Nature Of Mathematics ◽  
Potential Impact

There are many classic questions about the nature of mathematics which have been an endless debate among philosophers. One of them is about whether mathematics is created or discovered. This research aims to find out the pre-service mathematics teachers’ perception about the classical enigma of mathematics after joining the course of history and philosophy of mathematics education. It was a descriptive qualitative research involving 45 pre-service mathematics teachers in their first-year training. We collected the data using questionnaire and then deepened the findings using semi-structured interview. The results suggest that 40% of the respondents believed that mathematics is created, while the rest 60% believed that mathematics is discovered. The two claims have their basic reasoning in the perspective of the respondents. Those who believed that mathematics is created argued that mathematics exists because of human activities. Therefore, it will never be founded if it is not created first. Meanwhile, those who believed that mathematics is discovered tended to argue that whether or not there is human activities to prove the mathematics phenomena, it is already there as the God created it. Thus, human just discovered it, not create it. Both arguments are interesting and have a potential impact to the mathematics education practice.

scholarly journals Um Mapeamento de Estudos Históricos da Matemática nos Periódicos Nacionais de Qualis A1, A2 e B1 em Ensino no Período de 2013 a 2018

2021 ◽  
Vol 14 (1) ◽  
pp. 110-118
Author(s):  
Eliane Siviero da Silva Dalbon ◽  
Dulcyene Maria Ribeiro
Keyword(s):  
Mathematics Education ◽  
Philosophy Of Mathematics ◽  
History Of Mathematics ◽  
Mathematical Education ◽  
Education History ◽  
History Of Mathematics Education ◽  
Mathematics History ◽  
History Of ◽  
Em 12 ◽  
Education Field

ResumoO trabalho tem por objetivo apresentar um mapeamento dos artigos envolvendo estudos históricos da Matemática publicados nos periódicos nacionais de qualis A1, A2 e B1 em ensino, no período de 2013 a 2018. Os dados foram coletados a partir da leitura dos títulos, resumos e palavras-chave dos artigos, que foram classificados entre os campos temáticos: História da Matemática, História da Educação Matemática e História na Educação Matemática. De um total de 13 revistas com 212 edições e 2516 publicações, foram categorizados 255 artigos, sendo 91 no campo História da Matemática, 123 no campo História da Educação Matemática e 41 no campo História na Educação Matemática. Dentre os periódicos analisados, a Revista Brasileira de História da Matemática (RBHM), que tem como foco a publicação de trabalhos acadêmicos originais sobre História da Matemática em geral e sobre suas relações com outros campos, como a Educação Matemática e a Filosofia da Matemática, foi o periódico com maior número de artigos identificados na análise, 72 ao todo. Com relação a quantidade de trabalhos classificados em História da Matemática, apesar de serem computados 91 artigos, desses, 59 se encontram na Revista Brasileira de História da Matemática (RBHM), restando 32 artigos identificados em 12 periódicos. Todos os outros periódicos tiveram um volume maior de artigos classificados no campo História da Educação Matemática, 113 ao todo, incluindo duas edições temáticas em dois periódicos. O campo História na Educação Matemática, foi o que teve menos trabalhos classificados, 41 ao todo. Os dados refletem uma mudança no panorama das produções de estudos históricos da Matemática, que inicialmente eram voltados principalmente para a História da Matemática e que, no decorrer do tempo passou-se a ter o crescimento de um movimento em torno da História da Educação Matemática. Palavras-chave: Publicações em Periódicos. História da Matemática. História da Educação Matemática. História na Educação Matemática. AbstractThe work aims to present a mapping of articles involving historical studies of Mathematics published in national journals of qualis A1, A2 and B1 in teaching, from 2013 to 2018. Data were collected from the reading of titles, abstracts and words -key of the articles, which were classified among the thematic fields: History of Mathematics, History of Mathematics Education and History in Mathematics Education. From a total of 13 magazines with 212 editions and 2516 publications, 255 articles were categorized, 91 in the History of Mathematics field, 123 in the History of Mathematics Education field and 41 in the History in Mathematics Education field. Among the journals analyzed, the Revista Brasileira de História da Matemática (RBHM), which focuses on the publication of original academic works on the History of Mathematics in general and on their relations with other fields, such as Mathematics Education and the Philosophy of Mathematics, was the journal with the largest number of articles identified in the analysis, 72 in all. Regarding the number of papers classified in the History of Mathematics, although 91 articles are computed, of these, 59 are in the Revista Brasileira de História da Matemática (RBHM), leaving 32 articles identified in 12 journals. All other journals had a higher volume of articles classified in the History of Mathematical Education field, 113 in all, including two thematic editions in two journals. The History in Mathematics Education field had the least classified jobs, 41 in all. The data reflect a change in the panorama of the production of historical studies of Mathematics, which initially were mainly focused on the History of Mathematics and which, over time, began to have the growth of a movement around the History of Mathematics Education. Keywords: Publications in Journals. History of Mathematics. History of Mathematics Education. History in Mathematics Education.

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