Razonamiento geométrico y visualización espacial desde el punto de vista ontosemiótico

Blanco, Teresa Fernández; Godino, Juan D.; Pegito, José Antonio Cajaraville

doi:10.1590/s0103-636x2012000100004

Bolema

2012

DOI: 10.1590/s0103-636x2012000100004

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Razonamiento geométrico y visualización espacial desde el punto de vista ontosemiótico

Teresa Fernández Blanco

Juan D. Godino

José Antonio Cajaraville Pegito

Abstract: ResumenEn el marco de una investigación sobre evaluación y desarrollo de capacidades de visualización y razonamiento espacial, presentamos el análisis de una tarea propuesta a una muestra de 400 estudiantes de magisterio. El análisis se realiza aplicando la noción de configuración de objetos y procesos introducida en el enfoque ontosemiótico del conocimiento y la instrucción matemática, la cual aporta posibilidades analíticas complementarias respecto de otras nociones cognitivas. La identificación de las redes… Show more

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An ontology of water and land in North Bihar, India^★

Cortesi¹

2021

Royal Anthropological Inst

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The floodplain of the Himalayas is a land formed and destroyed incessantly by the water of its rivers. Measures intended for flood control, aimed at separating productive land from river water through earth levees, have instead worsened the inundations, disrupting the beneficial flow of soil through floodwaters, obstructing water drainage, and resulting in enormous waterlogged areas. This article proposes that the failure of flood control in Bihar, India, is due to misunderstanding the river as a matter of water only, hence attempting the conceptual naturalization of an otherwise relative ontological distinction between water and land. Local knowledge of water reveals that neither water nor land can even be named, let alone understood, without the other. Informed by ethnographic fieldwork and multidisciplinary research in North Bihar, this article presents land and water as being in intimate correspondence with each other. By virtue of comparison, the ethnographic encounter is held to defy other ontologies of water that see the two substances as being in opposition. As a result, this article posits ontologies of natural substances as 'watertight', sclerotic, mutually exclusive, unable to adapt, and prone to be caught in a semiotic conflict.North Bihar, India, is a land incessantly built and wrecked by its dense interlacing of waters. Sediments released by the rivers that flow from the Himalayas gradually construct the geology of the floodplains. As they create the landscape, the rivers continously erode the soil of their own banks and cyclically avulse, or shift, their beds. While floods have long been a seasonal way of life in the Gangetic plains (Hill 1997; Lahiri-Dutt & Samanta 2013;Mishra 2001), they have become far more frequent and disastrous in North Bihar over the last three to four decades, following the construction of embankments that have modified the fluvial ecology (Mishra 1997;2012a). Along most of these rivers, embankments have been built, cutting the landscape into two, seemingly separating water from land but eventually re-joining them in a myriad of unexpected and undesired conglomerates.North Bihar, a place where water and land fundamentally constitute each other, poses questions regarding the ontology of water, defined both through its landscape and by Curl Prize, 2016.

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An ontology of water and land in North Bihar, India^★

Cortesi¹

2021

Royal Anthropological Inst

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Abordagens Semióticas em Educação Matemática

Almeida

Silva

2018

Bolema

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ResumoNesta pesquisa examinamos produções publicadas no BOLEMA que tematizam a semiótica no âmbito das pesquisas da área de Educação Matemática. A questão que orienta nossa investigação é O que revelam os artigos publicados no BOLEMA sobre as abordagens semióticas nas pesquisas em Educação Matemática? Com caráter de pesquisa inventariante, nosso artigo traz à baila um retrato das abordagens semióticas e identifica três enfoques semióticos: os pressupostos de Charles S. Peirce, os constructos teóricos de Raymond Duval e o enfoque ontosemiótico, cujo mentor é Juan D. Godino. O artigo apresenta elementos que consideramos relevantes em cada um destes enfoques, bem como as abordagens semióticas dos vinte e três artigos analisados. Uma discussão final revela o retrato de entendimentos e abordagens identificadas nos artigos e visa estabelecer algumas articulações entre elas. Finalmente, a partir das abordagens identificadas, vislumbramos delinear contribuições da semiótica para a Educação Matemática.Palavras-chave: Educação Matemática. Semiótica. Estado da Arte. AbstractIn this research, we analyze BOLEMA related to semiotics in the scope of researches in Mathematics Education. The question that guides our research is: What do the papers published in BOLEMA reveal about the semiotic approaches in Mathematics Education researches? So, our article brings to light the perspectives and issues that have been the focus of research about semiotics in Mathematics Education. We have identified three approaches in the research: the theory proposed by Charles S.Peirce; the theoretical constructs of Raymond Duval; and the ontosemiotic approach, whose mentor is Juan D. Godino. Our article presents elements that are considered relevant in each of these approaches, as well as the semiotic approaches of the 23 analyzed papers. Then, we present a summary that reveals the perspectives, issues, and understandings about semiotcs identified in the papers we analyzed and aim to establish some articulations between them. The article concludes with considerations about the contributions of semiotics in Mathematics Education.

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Enfoque Ontossemiótico da Cognição e Instrução Matemática: um estudo metanalítico das teses produzidas no Brasil

Breda

Bolondi

Silva

2021

Revemop

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Objetiva-se analisar como se desenvolveram as pesquisas de doutorado no âmbito do Enfoque Ontossemiótico da Cognição e Instrução Matemática (EOS) no Brasil. Por meio de categorias a priori, realizou-se uma metanálise de dezesseis teses de doutorado que usaram como referente teórico-analítico as ferramentas do EOS. Observa-se que 2016 e 2017 foram os anos com o maior número de teses depositadas, que a maior parte das teses se realizaram no estado de São Paulo e que, em sua maioria, tiveram como lócus de estudo cursos de capacitação docente. Constata-se que o tema mais abordado foi a formação de professores e as ferramentas mais utilizadas foram os Critérios de Adequação Didática seguida da Configuração de Objetos e Processos. Por fim, identifica-se que algumas teses articulam o EOS com outras abordagens teóricas.

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Razonamiento geométrico y visualización espacial desde el punto de vista ontosemiótico

Cited by 3 publications

References 7 publications

An ontology of water and land in North Bihar, India^★

An ontology of water and land in North Bihar, India^★

Abordagens Semióticas em Educação Matemática

Enfoque Ontossemiótico da Cognição e Instrução Matemática: um estudo metanalítico das teses produzidas no Brasil

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Razonamiento geométrico y visualización espacial desde el punto de vista ontosemiótico

Cited by 3 publications

References 7 publications

An ontology of water and land in North Bihar, India★

An ontology of water and land in North Bihar, India★

Abordagens Semióticas em Educação Matemática

Enfoque Ontossemiótico da Cognição e Instrução Matemática: um estudo metanalítico das teses produzidas no Brasil

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An ontology of water and land in North Bihar, India^★

An ontology of water and land in North Bihar, India^★