Teaching Philosophy and Enactivism

2021 ◽  
Vol 66 (2 supplement) ◽  
pp. 191-196
Author(s):  
Andrei Simionescu-Panait
Keyword(s):  
Mathematics Education ◽  
Multiple Solutions ◽  
Philosophy Of Education ◽  
Theoretical Models ◽  
Correct Solution ◽  
Classroom Design ◽  
Informational Efficiency ◽  
Lesson Design ◽  
Philosophical Education ◽  
History Of

"The paper presents a concise history of enactivism in education, especially in mathematics education. Cases described by Davis’s, Proulx and Simmt’s work showcase the idea that enactivism is a viable alternative to constructivism or to classical views both in terms of practical teaching and theoretical models related to the process of learning. The idea that the student should solve a fixed problem, discover the universally correct solution, and eventually store that correct solution to find many other universally correct solutions to other fixed problems reduces the student to a very simple mechanism aimed at informational efficiency. This problem is met by the enactivistic tradition that began with Varela and Maturana’s work, now updated to the aforementioned researchers. Contra the classical perspective, enactivism proposes the idea that the student collaboratively produces the problem, being able to see multiple solutions, and eventually becoming a performer of knowledge. The article takes these ideas developed in mathematics education and finds their use in philosophical education. The article especially focuses on the student’s problem of being unable to link a new philosophical text discussed in class with their intuition. The last part of the article offers a lesson design example. The philosophical design focuses on making the students explore their own thinking regarding the topic about to be discussed by using a philosophy text before introducing the text. Keywords: enactivism, phenomenology, philosophy of education, classroom design "

Ascetics and Brahmins

2007 ◽  
Author(s):  
Patrick Olivelle
Keyword(s):  
Cultural History ◽  
Theoretical Models ◽  
Religious Institutions ◽  
New Religions ◽  
Creative Tension ◽  
History Of ◽  
Indian Religion

This volume brings together papers on Indian ascetical institutions and ideologies published by Olivelle over a span of about thirty years. Asceticism represents a major strand in the religious and cultural history of India, providing some of the most creative elements within Indian religions and philosophies. Most of the major religions, such as Buddhism and Jainism, and religious philosophies both within these new religions and in the Brahmanical tradition were created by world renouncing ascetics. Yet, ascetical institutions and ideologies developed in a creative tension with other religious institutions that stressed the centrality of family, procreation, and society. It is this tension that has articulated many of the central features of Indian religion and culture. The papers collected in this volume seek to locate Indian ascetical traditions within their historical, political, and ideological contexts. Many of the papers included here represent some of Olivelle's earliest work. It is quite natural that as one matures as a scholar one's approaches and theoretical models change. It would have been impractical and unwise to rewrite all these earlier papers. Even though some of these papers are now dated, bringing them together in a single volume, it is hoped, will prove to be helpful to scholars and students.

scholarly journals When research met policy: a history of innovation and a complicated relationship in three Swedish development projects in mathematics education, 1960–2018

ZDM ◽  
2021 ◽  
Author(s):  
Johan Prytz
Keyword(s):  
Mathematics Education ◽  
Comparative Method ◽  
School Governance ◽  
Development Projects ◽  
Historical Sources ◽  
Major Development ◽  
History Of ◽  
Historical Comparative ◽  
The 1960S ◽  
Contemporary Development

AbstractThis paper concerns the relationship between research and governance policy in three Swedish major development projects in mathematics education: the New Math project (1960–1975), the PUMP project (1970–1980), and the Boost for Mathematics project in (2012–2016). All three projects were driven or financed by the Swedish central school authorities. Using a historical comparative method, this study deepens the understanding of how research co-exists with governance policy when preparing innovations in mathematics education. The main historical sources are official reports and governmental decisions concerning the three projects. The analysis is focused on the nature of the innovations of each project and the role of researchers in the process of creating the innovations. The analysis highlights the theories and the methods involved in those processes. The three projects are also positioned in a context of school governance policy. In Sweden, the prevailing school governing policy changed from a highly centralised governance in the 1960s to a highly decentralised governance in the 2010s. The paper concludes by discussing to what degree the researchers adhered to principles of research or school governance; in particular, the Boost for Mathematics project is considered in this regard. The relevance of the paper in relation to the emerging field of implementation research in mathematics education concerns how historical studies can give new insights about contemporary development projects in mathematics education.

scholarly journals Knotting the MECO Network

Entropy ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 141
Author(s):  
Reinhard Folk
Keyword(s):  
Statistical Physics ◽  
Condensed Matter ◽  
Theoretical Models ◽  
Iron Curtain ◽  
Solid State Physics ◽  
Scientific Exchange ◽  
History Of ◽  
Traditional Fields ◽  
Historical Resources ◽  
Further Development

The Conferences of the Middle European Cooperation in Statistical Physics (MECO) were created as an attempt to establish and maintain an exchange between scientists in the fields of statistical and condensed matter physics from Western and Eastern countries, overcoming the hurdles of the Iron Curtain. Based on personal remembrance and historical resources, the genesis and further development of MECO meetings is described. The annual meetings were interrupted in 1991 by the Yugoslav War but were re-established in 1993 and continue today. Although the fall of the Iron Curtain and the European Research programs changed the situation for the meetings considerably, the ties created by MECO still are useful to help scientific exchange. The history of European (and not only) statistical physics and the history of the MECO are tightly intertwined. It started in a time where an essential breakthrough has been achieved in statistical physics describing the features near phase transitions. In addition to the merging of solid-state physics and field theory concepts, the application of numerical methods (Monte Carlo methods) added a new pillar besides exact solutions and experiments to check theoretical models. In the following, the scientific emphasis (in general) has changed from the traditional fields of the first MECO to complexity and interdisciplinary themes as well.

scholarly journals O ENSINO DE SITUAÇÕES MULTIPLICATIVAS: constatações a partir dos atos de mediação docente

2017 ◽  
Vol 24 (2) ◽  
pp. 74
Author(s):  
Eliziane Rocha Castro ◽  
Marcília Chagas Barreto ◽  
Antonio Luiz De Oliveira Barreto ◽  
Francisco Jeovane do Nascimento
Keyword(s):  
Elementary School ◽  
Mathematics Education ◽  
Teaching Practice ◽  
Field Research ◽  
Technical Skills ◽  
Theoretical Construct ◽  
Case Study Method ◽  
History Of ◽  
Professional History

ElResumo: Inserida no campo da Educação Matemática, esta investigação tem como objetivo central analisar os atos de mediação docente no ensino de situações multiplicativas no 5º ano do Ensino Fundamental, tendo como suporte referencial a Teoria dos Campos Conceituais. O constructo teórico prevê a estruturação dos conceitos de multiplicação e divisão em um único campo conceitual – o das Estruturas Multiplicativas. A pesquisa é de natureza qualitativa, ancorada no método do Estudo de Caso recaindo sobre os atos de mediação de uma docente do 5º ano do Ensino Fundamental de uma escola da rede pública do município de São Luís, Maranhão. A pesquisa de campo foi realizada nos meses de outubro e novembro de 2015. Os dados empíricos foram coletados por observação de três aulas previamente planejadas pela docente observada. Os achados dessa incursão investigativa apontam a carência do trabalho voltado para os aspectos conceituais das operações de multiplicação e divisão, bem como revelam a proeminência da simbolização em detrimento da conceitualização. As conclusões que se derivam dessa incursão investigativa entrelaçam aspectos inerentes à formação e à prática docente, na medida em que englobam o amplo repertório de eskemas concernentes à interação, comunicação, linguagem e afetividade, além do conjunto de competências técnicas e conhecimentos propagados nos espaços de formação que também modelam os atos de mediação docente no decurso da história individual e profissional dos professores.Palavras-chave: Situações multiplicativas. Mediação docente. Teoria dos Campos Conceituais.TEACHING SITUATIONS MULTIPLICATIVE: findings from the mediation acts of teachers Abstract: Inserted in the field of mathematics education, this research had as main objective to analyze the acts of teacher mediation in teaching multiplicative situations in the 5th year of elementary school, supported by the Theory of Conceptual Fields. The theoretical construct provides the structure of multiplication and division concepts into a single conceptual field - that of multiplicative structures. The research is qualitative in nature, anchored in the Case Study method falling on the acts of mediation of a teacher of the 5th year of elementary school in a public school in São Luís, Maranhão. The field research was conducted in the months of October and November 2015. The data were collected by observation of three classes previously planned by the teacher observed. The findings of this investigative foray point to the lack of focused work for the conceptual aspects of the multiplication and division operations , as well as reveal the prominence of symbolization at the expense of conceptualisation. The conclusions derived from this investigative foray intertwine aspects of training and teaching practice, in that it encompasses the broad repertoire  concerning the interaction, communication, language and affection, beyond the range of technical skills and propagate knowledge in the areas of training also model the acts of teaching mediation during personal and professional history of teachers.Keywords: Situations multiplicative. Mediation acts of teachers. Theory of Conceptual Fields.LA ENSEÑANZA DE SITUACIONES MULTIPLICATIVAS: resultados a partir de los actos de mediación docente Resumen: Insertado en el campo de la educación matemática, esta investigación tiene como objetivo principal analizar los actos de mediación docente en la enseñanza de las situaciones multiplicativas en el 5º año de la escuela primaria, utilizando como soporte de referencia la teoría de los campos conceptuales. La construcción teórica proporciona la estructura de los conceptos de multiplicación y división en un solo campo conceptual – el de las estructuras multiplicativas. La investigación es de naturaleza cualitativa, anclada en el método de estudio de caso que recae sobre los actos de la mediación de una docente de 5º año de primaria en una escuela pública en São Luís, Maranhão. La investigación de campo fue realizada en los meses de octubre y noviembre de 2015. Los datos empíricos fueron recogidos mediante la observación de tres clases previamente programadas por la profesora observada. Las conclusiones de este punto de incursión señalan la carencia de trabajo dirigido a los aspectos conceptuales de las operaciones matemáticas de multiplicación y división, así como revelan la prominencia de la simbolización en detrimento de la conceptualización. Las conclusiones derivadas de esa investigación entrelazan aspectos de la formación y la enseñanza práctica, ya que abarca el amplio repertorio de eskemas relativos a la interacción, comunicación, lenguaje y afectividad, además del conjunto de competencias técnicas y conocimientos propagados en los espacios de formación que también modelan los actos de mediación docente en el decurso de la historia personal y profesional de los profesores.Palabras clave: Situaciones multiplicativas. Mediación docente. Teoría de los Campos Conceptuales.       

scholarly journals "We Never Knew":  The Differences between Museum History and  Academic History Explored through an  Exhibition of the New Zealand Wars

2021 ◽  
Author(s):  
◽  
Elspeth Hocking
Keyword(s):  
Public History ◽  
Historical Context ◽  
Theoretical Models ◽  
Structured Interviews ◽  
The Past ◽  
Presentation Modes ◽  
Academic History ◽  
History Of ◽  
Museum History ◽  
Conducting Research

<p>Public history and academic history have been viewed both as opposites, two practices related only by their concern with sharing the past, as well as conceptualised as similar fields with close connections to each other. Museum history exhibitions are an obvious example of public history in action. However, is the history that exhibitions present all that different from what is produced in the academy, or is this history academia in another form? Initially this dissertation aimed to explore the relationships between academic and public histories as discipline and practice, assuming a relationship rather than divide between the two fields as suggested in some of the literature. However, the eventual results of the research were different than expected, and suggested that in fact public histories manifest very differently to academic histories within a museum context. Using an adapted ethnographic research methodology, this dissertation traces the development of a single history exhibition, "Te Ahi Kā Roa, Te Ahi Kātoro Taranaki War 1860–2010: Our Legacy – Our Challenge", from its concept development to opening day and onwards to public programmes. This exhibition opened at Puke Ariki in New Plymouth in March 2010, and was a provocative display not only of the history of the wars themselves, but of the legacy of warfare in the Taranaki community. Other methods include partially structured interviews which were conducted with ten people involved in creating this exhibition, who outlined their roles in its production and provided their views on its development, and also a brief analysis of the broader social and historical context in which the exhibition was staged. Through tracing the creation of this history, the findings suggested that the history produced at Puke Ariki is a history in its own right, with noticeable differences from academic histories. The strongest correlation between public and academic history in this instance was the shared aspiration to be rigorous in conducting research and, as far as possible, to create an accurate portrayal of the past. Otherwise the history created by Puke Ariki through the exhibition proved to be different in that it was deliberately designed to be very accessible, and it utilised a number of presentation modes, including objects, text, audiovisual and sound. It was interactive, and had a clear aim of enabling the audience to participate in a discussion about the history being presented. Finally, it was a highly politicised history, in that decision making had to be negotiated with source communities in a collaborative fashion, and issues of censorship worked through with the council, a major funding source. The dissertation concludes that producing history in a museum context is a dynamic and flexible process, and one that can be successful despite not necessarily following theoretical models of exhibition development.</p>

scholarly journals HISTORY OF MATHEMATICS EDUCATION IN PRIMARY SCHOOL AND IN TEACHER TRAINING IN BRAZIL

2020 ◽  
Vol 24 ◽  
Author(s):  
Wagner Rodrigues Valente ◽  
Maria Célia Leme da Silva
Keyword(s):  
Mathematics Education ◽  
Teacher Training ◽  
Primary School ◽  
Mathematics Teaching ◽  
History Of Mathematics ◽  
Theoretical Hypothesis ◽  
Disciplinary Field ◽  
History Of ◽  
The 19Th Century ◽  
The Relationship

Abstract This article discusses results from research developed on the transformations in mathematics teaching in primary school and the mathematics in teacher training from the 19th century to the mid-20th century in Brazil. We have analyzed the understanding of the relationship between the mathematical disciplinary field and pedagogy in order to confirm the theoretical hypothesis that the interactions between the two fields produce mathematics of different natures, which are interconnected.

scholarly journals A Economia Doméstica e Rural Presente no Capítulo XII da Obra Rechenbuch für Deutsche Schulen in Brasillien 2º Heft, de Matheus Grimm

2020 ◽  
Vol 13 (1) ◽  
pp. 103-110
Author(s):  
Silvio Luiz Martins Britto ◽  
Arno Bayer
Keyword(s):  
Mathematics Education ◽  
Cultural History ◽  
Rural Economy ◽  
History Of Mathematics ◽  
Financial Education ◽  
Porto Alegre ◽  
History Of Mathematics Education ◽  
The Family ◽  
The Future ◽  
History Of

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.  

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.

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