Processes of Algebraization in the History of Mathematics: The Impact of Signs

2008 ◽  
pp. 139-155 ◽  
Keyword(s):  
History Of Mathematics ◽  
History Of ◽  
The Impact

Mathematics as Current Events

1993 ◽  
Vol 86 (2) ◽  
pp. 114-116
Author(s):  
Mary F. Klein
Keyword(s):  
History Of Mathematics ◽  
School Mathematics ◽  
Focus Attention ◽  
Evaluation Standards ◽  
Current Events ◽  
History Of ◽  
The Impact

The Curriculum and Evaluation Standards for School Mathematics (NCTM1989) lists “learning to value mathematics” as one goal for students. The intent of this goal is “to focus attention on the need for student awareness of the interaction between mathematics and the historical situations from whkh it has developed and the impact that interaction has on our culture and our lives.” One way to reach this goal is to study the history of mathematics; another way is to study current events and see mathematics in the making

Thinking the Unthinkable: The Story of Complex Numbers (with a Moral)

1988 ◽  
Vol 81 (7) ◽  
pp. 583-592 ◽  
Author(s):  
Israel Kleiner
Keyword(s):  
History Of Mathematics ◽  
Complex Numbers ◽  
Real Numbers ◽  
Usual Definition ◽  
History Of ◽  
Definition Of ◽  
The Impact ◽  
Ordered Pairs

The usual definition of complex numbers, either as ordered pairs (a, b) of real numbers or as “numbers” of the form a + bi, does not give any indication of their long and tortuous evolution, which lasted about three hundred years. I want to describe this evolution very briefly because I think some lessons can be learned from this story, just as from many other such stories concerning the evolution of a concept, result, or theory. These lessons have to do with the impact of the history of mathematics on our understanding of mathematics and on our effectiveness in teaching it. But more about the moral of this story later.

scholarly journals Developing Female Pre-Service Teachers' Mathematics Self-Efficacy by Integrating History of Mathematics into Teaching During Lesson Study

2021 ◽  
pp. 91-102
Author(s):  
Samuel Baah-Duodu ◽  
Seth Borbye ◽  
Ebenezer Someah-Addae ◽  
Francis Cornelius Ennin ◽  
Vivian Osei-Buabeng
Keyword(s):  
Self Efficacy ◽  
Lesson Study ◽  
Conceptual Knowledge ◽  
Teaching And Learning ◽  
History Of Mathematics ◽  
Teaching Mathematics ◽  
Study Results ◽  
History Of ◽  
The Impact ◽  
Mathematics Self Efficacy

History of mathematics (HOM) was incorporated into peer teaching during lesson study as a strategy to augment the mathematics self-efficacy of female pre-service teachers in Ghana. An overview of studies on methodological approaches of integrating the history of mathematics into the teaching and learning process was presented. Mathematics Self-efficacy Scale and Grade Descriptor Grid were used to assess 12 female pre-service teachers' confidence level and performance respectively during lesson study. Results revealed that pre-service teachers exhibited a moderate self-efficacy level as well as moderately good performance in lesson instruction. A web-based questionnaire item responded by participants revealed that integrating HOM into lessons has the potential to improve teachers' self-efficacy. The impact of the study included: change of pre-service teachers' perception about teaching mathematics, a positive attitude towards mathematics, broadened conceptual knowledge and exposure to the multiplicity of problem-solving approaches. It was recommended that innovative pedagogical strategies should be adopted to enhance females' self-efficacy towards teaching mathematics. Also, teachers need to participate in lesson study as a professional collaboration which can improve their pedagogical knowledge. Further studies should investigate the relationship between prospective female teachers' self-efficacy and their mathematics achievement.

scholarly journals EL USO DEL AMBIENTE VIRTUAL CREPHIMAT PARA PROMOVER LA HISTORIA EN LA ENSEÑANZA DE LA MATEMÁTICA

PARADIGMA ◽  
2020 ◽  
pp. 88-115
Author(s):  
Luis Andrés Castillo ◽  
Iran Abreu Mendes
Keyword(s):  
Virtual Environments ◽  
Virtual Environment ◽  
History Of Mathematics ◽  
Reference Center ◽  
Palabras Clave ◽  
History Of ◽  
The Impact ◽  
Magazine Articles ◽  
Interactive Virtual Environment

Este artículo describe la experiencia de materialización del ambiente virtual interactivo denominado Centro Brasileño de Referencia en Pesquisas sobre Historia de las Matemáticas – CREPHIMat. Experiencia que se origina a resultados parciales de un trabajo de maestría, vinculado al cumplimiento de objetivos específicos de dos macro proyectos, el primero intitulado: História para o Ensino da Matemática na Formação de Professores e na Educação Básica: uma Análise da Produção Brasileira (1997 - 2018), el segundo llamado: Uma história das pesquisas em História da Matemática no Brasil: produções, disseminações e contribuições à formação de professores de Matemática. Dichos proyectos son financiados por el Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) y sobre la coordinación del Prof. Dr. Iran Abreu Mendes. Algunos de los resultados obtenidos se refieren a la constitución de un gran acervo de producciones académico-científicas originadas en Brasil que traten sobre la historia de la matemática para el periodo de 1990-2018, unos 2000 archivos, entre Tesis, Disertaciones, artículos de revistas, memorias de congresos, libros de minicursos, productos educativos, materiales didácticos y demás producciones dirigidos a estudiantes, profesores y pesquisadores interesados en la historia de las matemáticas. Ademas se destacas algunas métricas y evaluaciones parciales del impacto que ha tenido el CREPHIMat desde su lanzamiento en agosto del 2019.Palabras clave: CREPHIMat, ambientes virtuales, Historia de las Matematicas, repositorio.THE USE OF THE VIRTUAL CREPHIMAT ENVIRONMENT TO PROMOTE HISTORY IN THE TEACHING OF MATHEMATICSAbstractThis article describes the experience of materialization of the interactive virtual environment called Brazilian Reference Center for Research on the History of Mathematics - CREPHIMat. Experience that originates from partial results of a master's work, linked to the fulfillment of specific objectives of two macro projects, the first titled: Historia para o Ensino da Matemática na Formação de Professores e na Educação Básica: uma Análise da Produção Brasileira (1997 - 2018), the second called: Uma história das pesquisas em História da Matemática no Brasil: produções, disseminações e contribuições à formação de professores de Matemática. These projects are financed by the Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) and on the coordination of Prof. Dr. Iran Abreu Mendes. Some of the results obtained refer to the constitution of a great collection of academic-scientific productions originated in Brazil that deal with the history of mathematics for the period 1990-2018, about 2000 archives, including Theses, Dissertations, magazine articles, congress reports, books of mini-courses, educational products, didactic materials and other productions addressed to students, teachers and researchers interested in the history of mathematics. It also highlights some metrics and partial evaluations of the impact that CREPHIMat has had since its launch in August 2019.Keywords: CREPHIMat, virtual environments, History of Mathematics, repository. A UTILIZAÇÃO DO AMBIENTE VIRTUAL DO CREPHIMAT PARA PROMOVER A HISTÓRIA NO ENSINO DA MATEMÁTICA ResumoEste artigo descreve a experiência de materialização do ambiente virtual interativo denominado Centro Brasileiro de Referência para Pesquisa em História da Matemática - CREPHIMat. Experiência oriunda de resultados parciais de um trabalho de mestrado, vinculada ao cumprimento de objetivos específicos de dois projetos macro, o primeiro intitulado: Historia para o Ensino da Matemática na Formação de Professores e na Educação Básica: uma Análise da Produção Brasileira (1997 - 2018), o segundo intitulado: Uma história das pesquisas em História da Matemática no Brasil: produções, disseminações e contribuições à formação de professores de Matemática. Esses projetos são financiados pelo Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) e sob a coordenação do Prof. Dr. Iran Abreu Mendes. Alguns dos resultados obtidos referem-se à constituição de uma grande coleção de produções acadêmico-científicas originárias do Brasil que tratam da história da matemática para o período 1990-2018, cerca de 2000 arquivos, incluindo teses, dissertações, artigos de revistas, relatórios de congressos, livros de mini-cursos, produtos educacionais, materiais didáticos e outras produções dirigidas a estudantes, professores e pesquisadores interessados em história da matemática. Também destaca algumas métricas e avaliações parciais do impacto que a CREPHIMat tem tido desde o seu lançamento em agosto de 2019.Palavras chave: CREPHIMat, Ambientes virtuais, História da Matemática, repositorio.

Investigating the Relationship Between Self-Esteem and Stigma Among Young Adults With History of Suicide Attempts

Crisis ◽  
2016 ◽  
Vol 37 (4) ◽  
pp. 265-270 ◽  
Author(s):  
Meshan Lehmann ◽  
Matthew R. Hilimire ◽  
Lawrence H. Yang ◽  
Bruce G. Link ◽  
Jordan E. DeVylder
Keyword(s):  
Young Adults ◽  
Suicide Attempts ◽  
Self Esteem ◽  
High Risk Population ◽  
High Functioning ◽  
People With Mental Illness ◽  
History Of ◽  
The Individual ◽  
The Impact ◽  
The Relationship

Abstract. Background: Self-esteem is a major contributor to risk for repeated suicide attempts. Prior research has shown that awareness of stigma is associated with reduced self-esteem among people with mental illness. No prior studies have examined the association between self-esteem and stereotype awareness among individuals with past suicide attempts. Aims: To understand the relationship between stereotype awareness and self-esteem among young adults who have and have not attempted suicide. Method: Computerized surveys were administered to college students (N = 637). Linear regression analyses were used to test associations between self-esteem and stereotype awareness, attempt history, and their interaction. Results: There was a significant stereotype awareness by attempt interaction (β = –.74, p = .006) in the regression analysis. The interaction was explained by a stronger negative association between stereotype awareness and self-esteem among individuals with past suicide attempts (β = –.50, p = .013) compared with those without attempts (β = –.09, p = .037). Conclusion: Stigma is associated with lower self-esteem within this high-functioning sample of young adults with histories of suicide attempts. Alleviating the impact of stigma at the individual (clinical) or community (public health) levels may improve self-esteem among this high-risk population, which could potentially influence subsequent suicide risk.

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.

The Film World’s Cooperative Store: Institutions and Films of the 1930s and 1940s

2018 ◽  
Author(s):  
C. Claire Thomson
Keyword(s):  
World War Ii ◽  
Meat Products ◽  
Public Information ◽  
Early History ◽  
World War ◽  
International Context ◽  
German Occupation ◽  
History Of ◽  
The Uk ◽  
The Impact

This chapter traces the early history of state-sponsored informational filmmaking in Denmark, emphasising its organisation as a ‘cooperative’ of organisations and government agencies. After an account of the establishment and early development of the agency Dansk Kulturfilm in the 1930s, the chapter considers two of its earliest productions, both process films documenting the manufacture of bricks and meat products. The broader context of documentary in Denmark is fleshed out with an account of the production and reception of Poul Henningsen’s seminal film Danmark (1935), and the international context is accounted for with an overview of the development of state-supported filmmaking in the UK, Italy and Germany. Developments in the funding and output of Dansk Kulturfilm up to World War II are outlined, followed by an account of the impact of the German Occupation of Denmark on domestic informational film. The establishment of the Danish Government Film Committee or Ministeriernes Filmudvalg kick-started aprofessionalisation of state-sponsored filmmaking, and two wartime public information films are briefly analysed as examples of its early output. The chapter concludes with an account of the relations between the Danish Resistance and an emerging generation of documentarists.

Newton and the Origin of Civilization

2012 ◽  
Author(s):  
Jed Z. Buchwald ◽  
Mordechai Feingold
Keyword(s):  
Good Reason ◽  
History Of Mathematics ◽  
Primary Sources ◽  
Ancient History ◽  
Isaac Newton ◽  
History Of ◽  
Ancient Civilizations ◽  
And Mathematics ◽  
One Year ◽  
Radical Ideas

Isaac Newton’s Chronology of Ancient Kingdoms Amended, published in 1728, one year after the great man’s death, unleashed a storm of controversy. And for good reason. The book presents a drastically revised timeline for ancient civilizations, contracting Greek history by five hundred years and Egypt’s by a millennium. This book tells the story of how one of the most celebrated figures in the history of mathematics, optics, and mechanics came to apply his unique ways of thinking to problems of history, theology, and mythology, and of how his radical ideas produced an uproar that reverberated in Europe’s learned circles throughout the eighteenth century and beyond. The book reveals the manner in which Newton strove for nearly half a century to rectify universal history by reading ancient texts through the lens of astronomy, and to create a tight theoretical system for interpreting the evolution of civilization on the basis of population dynamics. It was during Newton’s earliest years at Cambridge that he developed the core of his singular method for generating and working with trustworthy knowledge, which he applied to his study of the past with the same rigor he brought to his work in physics and mathematics. Drawing extensively on Newton’s unpublished papers and a host of other primary sources, the book reconciles Isaac Newton the rational scientist with Newton the natural philosopher, alchemist, theologian, and chronologist of ancient history.

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