Patterns for Studying History of Mathematics: A Case Study of Germany

2017 ◽  
pp. 241-259
Author(s):  
Gert Schubring
Keyword(s):  
History Of Mathematics ◽  
History Of

scholarly journals LA DISCIPLINA HISTORIA DE LAS MATEMÁTICAS EN LA UNIVERSIDAD FEDERAL DEL TRIÁNGULO MINERO: UN BREVE INFORME

PARADIGMA ◽  
2020 ◽  
pp. 317-332
Author(s):  
Mônica De Cássia Siqueira Martines
Keyword(s):  
Higher Education ◽  
History Of Mathematics ◽  
Specific Situation ◽  
Initial Training ◽  
Teaching And Research ◽  
History Of ◽  
The Subject ◽  
Estudio De Caso

Este artículo describe los resultados de un experimento que involucró la enseñanza y la investigación en la disciplina de Historia de las Matemáticas, impartido por el autor en la Universidad Federal de Triângulo Mineiro (UFTM) desde el comienzo de la oferta del Grado en Matemáticas en esa institución de educación superior. En este sentido, presentamos el formato de las clases y evaluaciones que se realizan para el tema del estudio que originó este artículo. La investigación desarrollada fue del tipo cualitativo, en particular un estudio de caso, ya que la experiencia descrita y explicada se centra en la preocupación por los aspectos de la realidad del aula de una sola situación específica. Los resultados muestran la necesidad de reflexión constante, diálogo y posibles cambios en la didáctica en el aula, ya que los estudiantes, cada día, son diferentes en un mundo globalizado e informatizado. También revelan la necesidad de invitar a los estudiantes a asumir el papel de protagonistas, de modo que las formas de evaluación para cada clase puedan modificarse.Palabras clave: Historia de las matemáticas; Evaluación; Formación inicial de profesores de matemáticas. THE DISCIPLINE HISTORY OF MATHEMATICS AT THE FEDERAL UNIVERSITY OF THE MINING TRIANGLE: A BRIEF REPORT AbstractThis article describes the results of an experiment that involved teaching and research in the History of Mathematics discipline, taught by the author at the Federal University of Triângulo Mineiro (UFTM) since the beginning of the offer of the Degree in Mathematics at that institution of higher education. In this sense, we present the format of the classes and assessments that are carried out for the subject of the study that originated this article. The research developed was of the qualitative type, particularly a case study, since the experience described and explained is centered on the concern with aspects of the classroom reality of a single specific situation. The results show the need for constant reflection, dialogue and possible change in the didactics in the classroom, since the students, each day, are different in a globalized and computerized world. They also reveal the need to invite students to assume the role of protagonists, so that the forms of assessment for each class can be modified.Keywords: History of Mathematics; Evaluation; Initial training of mathematics teachers.A DISCIPLINA HISTÓRIA DA MATEMÁTICA NA UNIVERSIDADE FEDERAL DO TRIÂNGULO MINEIRO:UM BREVE RELATO ResumoEste artigo descreve os resultados de uma experiência que envolveu ensino e pesquisa na disciplina História da Matemática, ministrada pela autora na Universidade Federal do Triângulo Mineiro (UFTM) desde o início da oferta do curso de Licenciatura em Matemática na referida instituição de ensino superior. Neste sentido apresentamos o formato das aulas e avaliações que são realizadas para a disciplina foco do estudo que originou este artigo. A pesquisa desenvolvida foi do tipo qualitativa, particularmente um estudo de caso, uma vez que a experiência descrita e explicada está centrada na preocupação com os aspectos da realidade da sala de aula de uma única situação especifica. Os resultados mostram a necessidade de constante reflexão, diálogo e possível alteração na didática em sala de aula, visto que os(as) alunos(as), a cada dia, se mostram diferentes perante um mundo globalizado e informatizado. Revelam, também, a necessidade de convidar os(as) alunos(as) a assumirem o papel de protagonistas, fazendo com que as formas de avaliação de cada turma possam ser modificadas.Palavras-chave: História da Matemática; Avaliação; Formação inicial de professores de matemática.

scholarly journals Integrating the History of Mathematics into Mathematics Education: A Case Study of Teaching the Quadratic Equations

2019 ◽  
Vol 7 (11) ◽  
pp. 2454-2462
Author(s):  
Duong Huu Tong ◽  
Nguyen Phu Loc ◽  
Bui Phuong Uyen ◽  
Tran Thi Y
Keyword(s):  
Mathematics Education ◽  
History Of Mathematics ◽  
Quadratic Equations ◽  
History Of

Riemann–Weyl in Deleuze's Bergsonism and the Constitution of the Contemporary Physico-Mathematical Space

2015 ◽  
Vol 9 (1) ◽  
pp. 59-87 ◽  
Author(s):  
Martin Calamari
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Fibre Bundle ◽  
History Of Mathematics ◽  
Gauge Field Theory ◽  
Contemporary Science ◽  
Explicit Mention ◽  
History Of ◽  
Key Features ◽  
Bernhard Riemann

In recent years, the ideas of the mathematician Bernhard Riemann (1826–66) have come to the fore as one of Deleuze's principal sources of inspiration in regard to his engagements with mathematics, and the history of mathematics. Nevertheless, some relevant aspects and implications of Deleuze's philosophical reception and appropriation of Riemann's thought remain unexplored. In the first part of the paper I will begin by reconsidering the first explicit mention of Riemann in Deleuze's work, namely, in the second chapter of Bergsonism (1966). In this context, as I intend to show first, Deleuze's synthesis of some key features of the Riemannian theory of multiplicities (manifolds) is entirely dependent, both textually and conceptually, on his reading of another prominent figure in the history of mathematics: Hermann Weyl (1885–1955). This aspect has been largely underestimated, if not entirely neglected. However, as I attempt to bring out in the second part of the paper, reframing the understanding of Deleuze's philosophical engagement with Riemann's mathematics through the Riemann–Weyl conjunction can allow us to disclose some unexplored aspects of Deleuze's further elaboration of his theory of multiplicities (rhizomatic multiplicities, smooth spaces) and profound confrontation with contemporary science (fibre bundle topology and gauge field theory). This finally permits delineation of a correlation between Deleuze's plane of immanence and the contemporary physico-mathematical space of fundamental interactions.

Press Propaganda and Subaltern Agents of Pan-Islamic Networks in the Muslim Mediterranean World prior to World War I

2018 ◽  
Author(s):  
Odile Moreau
Keyword(s):  
Middle East ◽  
World War I ◽  
North Africa ◽  
World War ◽  
Subaltern Studies ◽  
Resistance Movements ◽  
The Press ◽  
Mediterranean World ◽  
History Of

This chapter explores movement and circulation across the Mediterranean and seeks to contribute to a history of proto-nationalism in the Maghrib and the Middle East at a particular moment prior to World War I. The discussion is particularly concerned with the interface of two Mediterranean spaces: the Middle East (Egypt, Ottoman Empire) and North Africa (Morocco), where the latter is viewed as a case study where resistance movements sought external allies as a way of compensating for their internal weakness. Applying methods developed by Subaltern Studies, and linking macro-historical approaches, namely of a translocal movement in the Muslim Mediterranean, it explores how the Egypt-based society, al-Ittihad al-Maghribi, through its agent, Aref Taher, used the press as an instrument for political propaganda, promoting its Pan-Islamic programme and its goal of uniting North Africa.

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