scholarly journals Facets of the cultural history of mathematics

2000 ◽  
Vol 8 (4) ◽  
pp. 487-497
Author(s):  
Hansjörg Geiges

This article highlights the position of mathematics within general culture at various stages of the development of Western civilization. Special emphasis is given to the role of mathematics in Greek philosophy, the influence of mathematics on Gothic architecture and the place of mathematics in 17th and 18th century society. Literary quotations illustrate the shifts in the view of mathematics in society.

Author(s):  
Ildar Garipzanov

The concluding chapter highlights how the cultural history of graphic signs of authority in late antiquity and the early Middle Ages encapsulated the profound transformation of political culture in the Mediterranean and Europe from approximately the fourth to ninth centuries. It also reflects on the transcendent sources of authority in these historical periods, and the role of graphic signs in highlighting this connection. Finally, it warns that, despite the apparent dominant role of the sign of the cross and cruciform graphic devices in providing access to transcendent protection and support in ninth-century Western Europe, some people could still employ alternative graphic signs deriving from older occult traditions in their recourse to transcendent powers.


2021 ◽  

A Cultural History of Sport in the Age of Industry covers the period 1800 to 1920. Over this period, sport become increasingly global, some sports were radically altered, sports clubs proliferated, and new team games - such as baseball, basketball, and the various forms of football - were created, codified, commercialized, and professionalized. Yet this was also an age of cultural and political tensions, when issues around the role of women, social class, ethnicity and race, imperial relationships, nation-building, and amateur and professional approaches were all shaping sport. At the same time, increasing urbanization, population, real wages, and leisure time drove demand for sport ever higher, and the institutionalization and regulation of sport accelerated. The 6 volume set of the Cultural History of Sport presents the first comprehensive history from classical antiquity to today, covering all forms and aspects of sport and its ever-changing social, cultural, political, and economic context and impact. The themes covered in each volume are the purpose of sport; sporting time and sporting space; products, training, and technology; rules and order; conflict and accommodation; inclusion, exclusion, and segregation; minds, bodies, and identities; representation.


Pythagoras ◽  
2008 ◽  
Vol 0 (68) ◽  
Author(s):  
Michael De Villiers

This paper first discusses the genetic approach and the relevance of the history of mathematics for teaching, reasoning by analogy, and the role of constructive defining in the creation of new mathematical content. It then uses constructive defining to generate a new generalization of the Nagel line of a triangle to polygons circumscribed around a circle, based on an analogy between the Nagel line and the Euler line of a triangle.


Author(s):  
Rosimeire Aparecida Soares Borges ◽  
Cristiano José de Oliveira

Este estudo histórico investigou apropriações das propostas reformistas da Escola Nova no que tange ao ensino da Aritmética para a escola primária em cinco cadernos de um aluno, de terceiro e quarto anos do curso primário, dos anos de 1952 e 1953, respectivamente, e no primeiro volume do manual didático “Práticas Escolares” que teve sua primeira edição em 1940 e décima edição em 1965, de autoria de Antonio D’Ávila. Utiliza-se como base teórico-metodológica a História Cultural na direção de dar significado às apropriações que foram feitas em relação à aritmética da escola primária em tempos da Escola Nova. Há uma predominância da resolução de problemas aritméticos ligados ao cotidiano dos alunos, indicando uma preocupação com a abstração dos conceitos com foco em uma aritmética prática, que tinha por finalidade preparar o aluno para a vida fora da escola após quatro anos de estudo no curso primário. Observa-se uma valorização do aluno como indivíduo, com respeito ao seu ritmo e dificuldades apresentadas na aprendizagem da Aritmética, um dos aspectos marcantes da Escola Nova, o aluno considerado como protagonista do processo de ensino e de aprendizagem, podendo interagir no meio social em uma formação mais humana.Palavras-chave: Aritmética. Ensino Primário. Manual Didático para Professores. Cadernos de aluno. Cultura escolar. História da Educação Matemática.AbstractThis historical study investigated appropriations of the New School for the teaching of Arithmetic for the primary school in five books of a student, of the third and the fourth years of the primary course, of the years of 1952 and 1953, respectively, And in the first Volume of the didactic manual “School Practices” that had its first edition in 1940 and tenth edition in 1965, authored by Antonio D’Ávila. It is used as a theoretical-methodological basis for the Cultural History in the direction of provide meaning the appropriations that were made in relation to the primary school in times of the New School. There is a predominance of solving arithmetic problems related to students’ daily life, indicating a preoccupation with an abstraction of concepts with a focus on an arithmetic practice, whose purpose was to prepare a student for the life outside of school after four years of primary school. It is observed the evaluation of the student as an individual, with respect to its rhythm and difficulties presented in the learning of Arithmetic, one of the markers of the New School, the student considered the protagonist of the process of teaching and learning, being able To interact in the social environment in a more humane formation.Keywords: Arithmetic. Primary school. Didactic Manual for Teachers. Books of a student. School culture. History of Mathematics Education.


Author(s):  
Silvio Luiz Martins Britto ◽  
Arno Bayer

O artigo analisa a obra Rechenbuch für Deutsche Schulen in Brasillien 2º Heft[1], de Matheus Grimm[2], com ênfase na seção XII, que aborda cálculos de economia doméstica e rural. Como o tema se insere na História da Educação Matemática, este estudo qualitativo e documental ampara-se na história cultural. A obra editada pela livraria Selbach, de Porto Alegre, teve sua primeira edição em 1900. O público-alvo eram os alunos do 3º e 4º ano elementar das escolas rurais teuto-brasileiras, unidocentes e mistas. A ideia era orientar os futuros colonos em suas receitas e despesas para administrar corretamente o orçamento familiar e gerenciar a produção na propriedade rural. Essa prática era comum nessas comunidades, pois havia o intuito de preparar as crianças para o futuro, com condições de realizar transações comerciais e dar continuidade aos negócios da família. Tais ações, contemporaneamente, fariam parte da denominada Educação Financeira, como objeto de conhecimento indispensável a ser trabalhado nas escolas brasileiras. As atividades desenvolvidas, a partir de situações-problema, estão relacionadas aos diferentes conteúdos matemáticos, envolvendo a aritmética, desenvolvendo habilidades para o manejo do cálculo escrito e mental por meio da resolução de problemas do cotidiano.   Palavras-chave: História da Educação Matemática. Ensino. Economia Doméstica e Rural.   Abstract The article analyzes the book Calculation for German schools in Brazil 2nd notebook, by Matheus Grimm, with an emphasis on section XII, which addresses household and rural economy calculations. As the theme is inserted in the History of Mathematics Education, this qualitative and documentary study is based on cultural history. The book published by the bookstore Selbach, Porto Alegre, had its first edition in 1900. The target audience were the students of the 3rd and 4th elementary year of the rural schools in Brazil, unidocentes and mixed. The idea was to guide the future settlers in their income and expenses to properly manage the family budget and manage the production in the rural property. This practice was common in these communities, since it was intended to prepare the children for the future, able to carry out commercial transactions and give continuity to the family business. Such actions, at the same time, would be part of the denominated Financial Education, as an object of knowledge indispensable to be worked in Brazilian schools. The activities developed, based on problem situations, are related to different mathematical contents, involving arithmetic, developing skills for the management of written and mental calculation through the resolution of everyday problems.   Keywords: History of Mathematics Education. Teaching. Domestic and Rural Economy.  


Author(s):  
Karolina Karpińska

This article is dedicated to discussing the implementation of the descriptive geometry, i.e. the scientific novelty from the end of the 18th century, in secondary school education on the Polish territories in the 19th century. At that time, Polish lands were under the occupation of three empires: Prussia, Austria, and Russia. Over the time, the policy of the partition empires toward the Poles was changing in intensity. As a consequence, in the 19th century, there were schools on the Polish territories with Polish, Prussian, Austrian and Russian curricula and relevant lecture languages. The article analyses the implementation of descriptive geometry into teaching mathematics in schools located in all three partitions. Keywords: descriptive geometry, history of mathematics education, history of mathematics


2019 ◽  
pp. 167-190
Author(s):  
Mary Wills

This chapter examines officers’ contributions to the metropolitan discourses about slavery and abolition taking place in Britain in the early to mid-nineteenth century. Furthering the theme of naval officers playing an important part in the social and cultural history of the West African campaign, it uncovers connections between the Royal Navy and domestic anti-slavery networks, and the extent to which abolitionist societies and interest groups operating in Britain during the first half of the nineteenth century forged relationships with naval officers in the field. Officers contributed to this ever-evolving anti-slavery culture: through support of societies and by providing key testimonies and evidence about the unrelenting transatlantic slave trade. Their representations of the slave trade were used to champion the abolitionist cause, as well as the role of the Royal Navy, in parliament, the press and other public arenas.


2018 ◽  
pp. 126-150
Author(s):  
Sarah Wood

This chapter locates the figure of Félix Éboué in the cultural politics of commemoration in Guyane. It offers a cultural history of the production of memorials to Éboué in Guyane (his birthplace) and beyond, assessing the role of these markers of national power in the local landscape. The chapter focuses first on the monument located in central Cayenne, produced at the instigation of a local committee and inaugurated in 1957, towards the end of the Fourth Republic. It then addresses the revival of 'memory' of Éboué and the renewal of his presence in Guyane which occurred during the 2000s. Instigated in part by Christiane Taubira, this culminated in the renaming of the only international airport in the Département — the key point of arrival and departure between Paris and Cayenne. The chapter concludes by asking how the vision of Guyane asserted in the act of ‘remembering’ Éboué has changed or been adapted in the twenty-first century.


Author(s):  
Katalin Gosztonyi

History of mathematics is rarely used in Hungarian mathematics education, and even more rarely goes beyond anecdotic mentions of history. In this paper I will argue that despite of this phenomenon, a historical perspective on mathematics, in a more general way, plays a crucial role in a specific Hungarian tradition of mathematics education, called felfedeztető matematikaoktatás (“teaching mathematics by guided discovery”). I will revisit the epistemological background of this approach, analyse the role of history in this view on the nature of mathematics and its teaching, and illustrate the analysis by some examples from written sources and nowadays teaching practice. Classification: A30, D20, D40. Keywords: History of mathematics, history in mathematics education, guided discovery in mathematics education.


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