scholarly journals REFLECTIONS ON LEARNING MATHEMATICS IN PHYSICS PHENOMENOLOGY AND HISTORICAL CONCEPTUAL STREAMS

2012 ◽  
Vol 46 (1) ◽  
pp. 93-100
Author(s):  
Maria Mellone ◽  
Raffaele Pisano
Keyword(s):  
Science Education ◽  
History Of Science ◽  
Euclidean Geometry ◽  
History Of Mathematics ◽  
Point Of View ◽  
Mathematical Education ◽  
Epistemology Of Science ◽  
History Of ◽  
Mathematical Sciences ◽  
Mathematics And Physics

Although several efforts produced by new mathematical education approaches for improving education systems and teaching, yet the results are not sufficient to adsorb the totality of innovations proposed, both in the contents and management. In this sense constructive debates and new ideas were welcomed and appreciated upon new aspects of science education, side new learning and Cognitive Modelling, for our interests. A parallel effort was produced by scientist-epistemologist-historians concerning the history of science and its foundations in science education. Historical foundations represent the most important intellectual part of the science, even if sometimes they were avoided or limited to specialist disciplines such as history of mathematics, history of physics, only. Nevertheless some results, such as the operative concept of mass by Mach, rather the coherence and validity of an algebraic–geometric group in a Euclidean geometry and in non-Euclidean geometry was firstly appointed by epistemological point of view by (e.g.,) Poincaré, etc... Thus, what kind of concrete relationship between science education (mathematics and physics) and history of science (idem) one can discuss correlated with foundations of science? and above all, how this relationship can be appointed? The history and epistemology of science help to understand evolution/involution of mathematical and physical sciences in the interpretation-modelling of a phenomenon and its interpretation-didactic-modelling, and how the interpretation can change for a different use of mathematical: e.g., mathematics à la Cauchy, non-standard analysis, constructive mathematics in physics. Based on previous studies, a discussion concerning mathematics education and history of science is presented. In our paper we will focus on learning modelling to discuss its efficacy and power both from educational point of view and the need of mathematics and physics teachers education. Some case–studies on the relationship between physics and mathematics in the history are presented, as well. Particularly we focus on a possible learning modelling activity within physics phenomenology to create a resonance among the above poles and mathematical modelling cycle to argue its efficacy, power and related with historical foundations of physical, mathematical sciences. Key words: modelling, mathematics, physics, history of foundations, epistemology of science.

scholarly journals Heritage of Pranas Mašiotas (1863–1940): expression and development of the history of mathematics in Lithuania

2014 ◽  
Vol 55 ◽  
Author(s):  
Juozas Banionis
Keyword(s):  
History Of Mathematics ◽  
Natural Sciences ◽  
Mathematical Education ◽  
History Of ◽  
Mathematics And Physics

The science of mathematics played an important role in Pranas Mašiotas’ life. It was not just a coincidence because Pranas Mašiotas graduated from the Faculty of Mathematics and Physics of Moscow University. In the process of reinforcing the notion of modern mathematical education in Lithuania, P. Mašiotas put an emphasis on the importance of the science of mathematics which could insure interdisciplinary relations among different subjects in the curriculum. Pranas Mašiotas’ activity was not left without attention. He was awarded an Honorary Doctor’s Degree on his 60th jubilee. The degree was conferred by the initiative of the Faculty of Mathematics and Natural Sciences of Lithuanian University on the 17 of December 1923.

History of Mathematics in the Islamic World: The Present State of the Art

1985 ◽  
Vol 19 (1) ◽  
pp. 9-33 ◽  
Author(s):  
J. L. Berggren
Keyword(s):  
Present State ◽  
State Of The Art ◽  
History Of Mathematics ◽  
Islamic Culture ◽  
Islamic World ◽  
History Of ◽  
The Subject ◽  
Mathematical Sciences ◽  
Islamic Mathematics

In Recent Years, many discoveries in the history of Islamic mathematics have not been reported outside the specialist literature, even though they raise issues of interest to a larger audience. Thus, our aim in writing this survey is to provide to scholars of Islamic culture an account of the major themes and discoveries of the last decade of research on the history of mathematics in the Islamic world. However, the subject of mathematics comprised much more than what a modern mathematician might think of as belonging to mathematics, so our survey is an overview of what may best be called the “mathematical sciences” in Islam; that is, in addition to such topics as arithmetic, algebra, and geometry we will also be interested in mechanics, optics, and mathematical instruments.

scholarly journals Um Passeio pelo Labirinto da Lógica Matemática em companhia de Malba Tahan

2018 ◽  
Vol 15 (19) ◽  
pp. 247-264
Author(s):  
Inocêncio Fernandes Balieiro Filho
Keyword(s):  
Mathematical Logic ◽  
Euclidean Geometry ◽  
History Of Mathematics ◽  
Logical Structure ◽  
Deductive System ◽  
Axiomatic Method ◽  
Concept Definition ◽  
History Of ◽  
Contemporary Approach

O presente artigo tem por objetivo discutir numa perspectiva contemporânea os conteúdos de Lógica, Matemática, Filosofia da Matemática e História da Matemática presentes no livro A Lógica na Matemática, escrito por Malba Tahan. Para isso, mediante o uso da historiografia, foram selecionados temas concernentes com os assuntos da pesquisa. Foram tratados os seguintes temas: a base lógica da Matemática, a definição de conceito, os princípios para se definir um objeto, as definições e a natureza dos axiomas em Matemática, o método axiomático e as diversas axiomáticas para a geometria euclidiana, a estrutura lógica de um sistema dedutivo, os métodos de demonstração em Matemática, a indução, analogia e dedução em Matemática.   Palavras-chave: Lógica Matemática; História da Matemática; Filosofia da Matemática.   A TOUR BY THE LABYRINTH OF MATHEMATICAL LOGIC IN THE COMPANY OF MALBA TAHAN   Abstract   In this paper we discuss the Mathematics, the Logic of Mathematics, the Philosophy and History of Mathematics that presents in the book A Lógica na Matemática of the Malba Tahan, in a contemporary approach. For that, we use the historiography to select matters in adherence with the research. Are treated this topics: the basis of the Logic of Mathematics; the concept definition; principles to define an object; definitions and nature of the axioms in Mathematics; the axiomatic method and the diverse axiomatic to the Euclidean Geometry; the logical structure of a deductive system; demonstration methods in mathematics; the induction, analogy and deduction in mathematics.  

scholarly journals História da Ciência e relações de gênero: a publicação de “Sir Isaac Newton’s philosophy explained for de use of ladies. In six dialogues on light and colours”

2018 ◽  
Vol 2 (3) ◽  
pp. 325
Author(s):  
Leandro Londero ◽  
Monica Abrantes Galindo ◽  
Marcos Serzedello
Keyword(s):  
Science Education ◽  
History Of Science ◽  
Gender Relations ◽  
Gender Issues ◽  
Education History ◽  
Science And Society ◽  
Maternal Role ◽  
Participation Of Women ◽  
History Of ◽  
And Gender

Resumo: Analisamos na tradução feita para o inglês, por Elisabeth Carter, em 1739, a obra de Francesco Algarotti “Sir Isaac Newton’s philosophy explain’d for the use of ladies. In six dialogues on light and colours”. Buscamos compreender os aspectos que a caracterizam como uma publicação para damas e identificar possíveis questões de gênero. Identificamos na obra uma tendência machista na ciência e elementos que evidenciam um imaginário de que a mulher não teria as qualidades necessárias para compreender a ciência, elementos esses coerentes com a transição de um período em que as mulheres eram consideradas inferiores em todos os aspectos para um outro no qual a construção do papel materno aparece como fundante de uma concepção de mulher não mais inferior, mas fundamentalmente diferente do homem e com papeis complementares a ele. Podemos dizer que esses imaginários podem influenciar as possibilidades de participação das mulheres na empreitada científica.Palavras-chave: Educação em Ciências; História da Ciência; Ciência e Sociedade (Gênero). History of Science and gender relations: a publication of “Sir Isaac Newton’s philosophy explained for de use of ladies. In six dialogues on light and colours”Abstract: We analyze Elisabeth Carter's 1739 translation of Francesco Algarotti's "Sir Isaac Newton's philosophy explain'd for the use of ladies. In six dialogues on light and colors. "We seek to understand the aspects that characterize it as a publication for ladies and to identify possible gender issues. We identified in the work a macho tendency in science and elements that evidence an imaginary that women would not have the qualities necessary to understand science, elements that are consistent with the transition from a period in which women were considered inferior in all respects to a another in which the construction of the maternal role appears as the founder of a conception of woman no longer inferior but fundamentally different from man and with roles complementary to him. We can say that these imaginary can influence the possibilities of participation of women in the scientific enterprise.Keywords: Science Education, History of Science; Science and Society (Gender). 

scholarly journals Circulação de ideias em eventos da História da educação matemática

2020 ◽  
Vol 20 (67) ◽  
Author(s):  
Yohana Taise Hoffmann ◽  
David Antonio da Costa
Keyword(s):  
Mathematics Education ◽  
History Of Mathematics ◽  
Pierre Bourdieu ◽  
International Congress ◽  
Mathematical Education ◽  
History Of Mathematics Education ◽  
International Conference ◽  
History Of

Consideramos a História da educação matemática (Hem) como um campo científico que possui como elementos constitutivos os grupos de pesquisas, as produções científicas, como teses e dissertações, as disciplinas que contribuem para a autonomia e estabilidade do próprio campo e as comunicações científicas, como os eventos e as revistas. Mobilizamos a sociologia da educação de Pierre Bourdieu como referencial teórico, principalmente na definição do conceito de campo. Dessa forma, o presente artigo tem por objetivo apresentar sócio historicamente a circulação de ideias a partir dos eventos e as revistas científicas do campo da Hem. Apresentamos o International Congress on Mathematical Education (ICME), em seguida a revista International Journal on the History of Mathematics Education (IJHME), que circulou entre os anos de 2006 e 2016. A partir da mobilização da comunidade internacional de pesquisadores que investigam a Hem, foi criado o International Conference on the History of Mathematics Education (ICHME), logo em seguida o Congresso Iberoamericano de História da Educação Matemática (CIHEM) e, no Brasil, o Encontro Nacional de Pesquisa em História da Educação Matemática (ENAPHEM). Entre todas as revistas atualmente que contribuem para a circulação de ideias elencamos a Revista UNIÓN, intitulada Historia Social de la Educación Matemática en Iberoamérica e a Revista HISTEMAT, intitulada Revista de História da Educação Matemática. Os espaços que a Hem vem ocupando contribuem para o processo de reconhecimento, legitimação, socialização e circulação de ideias do próprio campo.

Jesuit Mathematics

2018 ◽  
pp. 636-669
Author(s):  
Romano Gatto
Keyword(s):  
History Of Mathematics ◽  
Society Of Jesus ◽  
Original Research ◽  
Mathematical Education ◽  
Scientific Texts ◽  
Important Place ◽  
Scientific Disciplines ◽  
Scientific Innovation ◽  
History Of ◽  
Short Time

Despite its difficult gestation, the Jesuit mathematical schools, thanks to Christoph Clavius, gained great prestige in a short time. The Society of Jesus, therefore, provided a fertile ground for mathematical and astronomical studies. Between the sixteenth and eighteenth centuries, many generations of scholars had been trained in schools of the Society of Jesus. Jesuit mathematicians were interested in scientific innovation and they contributed original research to all scientific disciplines of the time, in addition to playing a key role in spreading scientific knowledge. Many Jesuits have an important place in the history of mathematics. Their handbooks and scientific texts were used and highly regarded by the greatest European mathematicians. In this chapter, we give an account of the events that characterized the birth and the developments of the Jesuit mathematical education, by focusing mainly on European assistances in addition to a brief account of Jesuit mathematical missions in Asia.

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