scholarly journals Reflexión sobre algunos conceptos clave de la investigación en educación Matemática: didáctica, concepto, competencia, esquema y situación

2017 ◽  
pp. 61-67
Author(s):  
Bruno D’Amore ◽  
Martha Isabel Fandiño Pinilla

La Educación Matemática, como campo disciplinario para la producción de conocimientos en torno a los procesos de enseñanza-aprendizaje de la Matemática, se consolida cada vez más en el ámbito internacional. Múltiples son los estudios que se llevan a cabo en los diferentes países; esto ha generado el uso con diferentes significados de varias expresiones, tales como Didáctica, Concepto, Competencia, Esquema, Situación, entre otros. En este breve ensayo, el autor lleva a cabo algunas reflexiones que pretenden clarificar, desde cierta perspectiva, los significados de estos términos clave que aparecen a menudo en los textos que se ocupan de la investigación en Educación Matemática.   Palabras clave: didáctica de la matemática, concepto, competencia, esquema, situación.   Abstract Mathematics Education, as a disciplinary field for the production of knowledge around the teaching-learning processes of Mathematics, is increasingly consolidated in the international arena. There are multiple studies that are carried out in different countries; this has generated the use with different meanings of several expressions, such as Didactics, Concept, Competence, Scheme, Situation, among others. In this brief essay, the author carries out some reflections that seek to clarify, from a certain perspective, the meanings of these key terms that often appear in the texts that deal with research in Mathematics Education. Keywords: mathematics didactics, concept, competence, scheme, situation.   Resumo A Educação Matemática, como campo disciplinar para a produção de conhecimento em torno dos processos de ensino-aprendizagem da Matemática, está cada vez mais consolidada na arena internacional. Existem vários estudos que são realizados em diferentes países; Isso gerou o uso de diferentes significados de várias expressões, como Didática, Conceito, Competência, Esquema, Situação, entre outros. Neste breve ensaio, o autor realiza algumas reflexões que procuram esclarecer, de certa perspectiva, os significados desses termos fundamentais que geralmente aparecem nos textos que lidam com a pesquisa em Educação Matemática. Palavras-chave: didática de matemática, conceito, competência, esquema, situação.

2017 ◽  
pp. 16-24
Author(s):  
Mildren Yaneth Uscategui Blanco ◽  
Adriana Boscan Andrade

El propósito general de la investigación es el de analizar el enfoque motivador que ejerce la Neuroeducación para el proceso de aprendizaje del cálculo inicial en los estudiantes de la Universidad Francisco de Paula Santander. El sustento de la investigación estuvo basado en autores como: (Mora, 2013), (Campos, 2010), (Cotto, 2009), Blakemore y Frith (2007), (De La Cruz, 2004) entre otros. La metodología aplicada fue un estudio de corte cualitativo, tomando como población constituida por los estudiantes del primer semestre de las diversas carreras de la Universidad Francisco de Paula Santander para el primer semestre del 2017. Las técnicas para la recolección de datos fueron la observación, la entrevista a profundidad. Entre los resultados se concluyó que es necesario identificar el grado de motivación para el aprendizaje del Cálculo en los estudiantes de la Universidad Francisco de Paula Santander, para garantizar la educación de calidad en las diferentes áreas de estudio, la comprensión de los estudiantes en el proceso de formación que permita adquirir conocimientos necesarios para su formación profesional son indispensables para su desarrollo profesional. Se recomienda utilizar la neurociencia como herramienta para entender cómo aprende el cerebro. Este conocimiento nos ayudará a mejorar sustancialmente la eficacia de los procesos de enseñanza-aprendizaje. Palabras Clave: Aprendizaje, Cerebro, Educación Matemática, Neurociencias, Neuroeducación.   Abstract   The general purpose of the research is to analyze the motivational approach that Neuroeducation exercises for the learning process of the initial calculation in the students of the Francisco de Paula Santander University. The sustenance of the research was based on authors such as: (Mora, 2013), (Campos, 2010), (Cotto, 2009), Blakemore and Frith (2007), (De La Cruz, 2004), among others. The methodology applied was a qualitative study, taking as a population constituted by the students of the first semester of the diverse careers of the Francisco de Paula Santander University for the first semester of 2017. The techniques for the data collection were the observation, the deep interview. Among the results it was concluded that it is necessary to identify the degree of motivation for the learning of the Calculus in the students of the Francisco de Paula Santander University, to guarantee the quality education in the different areas of study, the students' understanding in the process Training to acquire the knowledge necessary for their professional training are essential for their professional development. It is recommended to use neuroscience as a tool to understand how the brain learns. This knowledge will help us to substantially improve the effectiveness of the teaching-learning processes.   Key Words: Learning, Brain, Mathematics Education, Neurosciences, Neuroeducation.   ResumoO objetivo geral da pesquisa é analisar a abordagem motivacional que a Neuroeducação exerce para o processo de aprendizagem do cálculo inicial nos alunos da Universidade Francisco de Paula Santander. A sustentação da pesquisa baseou-se em autores como: (Mora, 2013), (Campos, 2010), (Cotto, 2009), Blakemore e Frith (2007), (De La Cruz, 2004), entre outros. A metodologia aplicada foi um estudo qualitativo, tendo como população constituída pelos alunos do primeiro semestre das diversas carreiras da Universidade Francisco de Paula Santander para o primeiro semestre de 2017. As técnicas para a coleta de dados foram a observação, o aprofundamento entrevista. Entre os resultados concluiu-se que é necessário identificar o grau de motivação para a aprendizagem do Cálculo nos alunos da Universidade Francisco de Paula Santander, para garantir a qualidade da educação nas diferentes áreas de estudo, o entendimento dos alunos em O processo de formação para adquirir o conhecimento necessário para a sua formação profissional é essencial para o seu desenvolvimento profissional. Recomenda-se usar a neurociência como uma ferramenta para entender como o cérebro aprende. Este conhecimento nos ajudará a melhorar substancialmente a eficácia dos processos de ensino-aprendizagem.   Palavras-chave: Aprendizagem, Cérebro, Educação Matemática, Neurociências, Neuroeducação.


Author(s):  
Marcelo Souza Motta ◽  
Marco Aurélio Kalinke

ResumoA proposta deste artigo é apresentar um panorama das dissertações, realizadas nos programas stricto sensu brasileiros que versam sobre a utilização de objetos de aprendizagem na educação matemática. A pesquisa é qualitativa e utiliza como procedimento inventariante uma revisão sistemática de literatura (RSL). O cenário da pesquisa foi constituído pelos trabalhos disponibilizados no Catálogo de Teses e Dissertações da Capes no período de 2013 a 2018. A busca inicial ocorreu no mês de maio de 2020 e, após a aplicação dos protocolos de pesquisa, resultou na identificação de 25 dissertações, que foram organizadas, por meio da leitura flutuante de seus títulos, resumos, palavras-chaves ou capítulos. Os resultados apontam a relevância das pesquisas, destacando as contribuições dos objetos de aprendizagem (AO) nos processos de ensino e aprendizagem e demonstram a possibilidade de construção dos próprios artefatos digitais pelos professores, adequando-os aos seus contextos pedagógicos específicos. Apesar disso, notamos a baixa realização de pesquisas dessa temática, em detrimento de outras relacionadas com o uso das tecnologias na educação matemática e a não existência de uma uniformização dos autores sobre o que se entende por OA. Por fim, destacamos que a metodologia adotada não é rígida, podendo ser remodelada por outros pesquisadores, sendo capaz de apresentar outros portifólios bibliográficos.Palavras-Chave: Objetos de aprendizagem, Educação matemática, Revisão sistemática de literatura, Tecnologias digitais.AbstractThe purpose of this article is to present an overview of the research, carried out in the Brazilian stricto sensu programmes that talk about the use of learning objects in mathematics education. The research is qualitative and uses a systematic literature review (SLR) as the inventory procedure. The research landscape was constituted by the works available in the Catálogo de Teses e Dissertações da Capes/Capes Dissertations and Theses Catalogue from 2013 to 2018. The initial search happened in May 2020 and, after applying the research protocols, we identified 25 thesis, which we organised, through skimming through their titles, abstracts, keywords, or chapters. The results point out the relevance of the research, highlighting OA’s contributions to the teaching and learning processes and demonstrating the teachers’ possibility of constructing their own digital artefacts, adapting them to their specific pedagogical contexts. Despite this, we noticed there were few studies on this topic, to the detriment of others about the use of technologies in mathematics education and the lack of authors’ consistency on what is meant by OA. Finally, we emphasise that the methodology adopted is not rigid. It can be remodelled by other researchers and present other bibliographic portfolios.Keywords: Learning Objects, Mathematical Education, Systematic Literature Review, Digital TechnologiesResumenEl propósito de este artículo es presentar una visión general de las disertaciones, realizadas en los programas stricto sensu brasileños que se ocupan del uso de objetos de aprendizaje en la educación matemática. La investigación es cualitativa y utiliza una revisión sistemática de la literatura (RSL) como procedimiento de inventario. El escenario de investigación estuvo constituido por los trabajos dispuestos en el Catálogo de Teses e Dissertações da Capes/Catálogo de Tesis y Disertaciones de Capes de 2013 a 2018. La búsqueda inicial se dió en mayo de 2020 y luego de la aplicación de los protocolos de investigación, se identificaron 25 disertaciones, que se organizaron a través de la lectura flotante de sus títulos, resúmenes, palabras clave o capítulos. Los resultados señalan la relevancia de la investigación, destacando las contribuciones de los objetos de aprendizaje (OA) en los procesos de enseñanza y aprendizaje y demuestran la posibilidad de que los profesores construyan sus propios artefactos digitales, adaptándolos a sus contextos pedagógicos específicos. A pesar de esto, observamos el bajo nivel de investigación sobre este tema, en detrimento de otros relacionados con el uso de tecnologías en la educación matemática y la falta de uniformidad de los autores sobre lo que se entiende por OA. Finalmente, enfatizamos que la metodología adoptada no es rígida, puede ser remodelada por otros investigadores y presentar otras carteras bibliográficas.Palabras clave: Objetos de aprendizaje, Educación matemática, Revisión sistemática de literatura, Tecnologías digitales.


Author(s):  
Paola Castro ◽  
Pedro Gómez

We present the process of developing a taxonomy of key terms for Mathematics Education. We build on the existing taxonomy of key terms that has been used in an open access document repository. Additionally, we took into account terms that have been established in encyclopedias of the discipline and the frequency of use of keywords in specialized journals that were indexed in Scopus and Web of Science. We made a review of synonymy between these terms and the terms of the existing taxonomy. We included in our proposal the terms that are relevant given their frequency of use in the journals. We removed from the existing taxonomy the terms that are little used in practice. The new taxonomy is organized in six main categories: approach, educational level, foundations of Mathematics Education, research in Mathematics Education, pedagogical notions and mathematical content. This proposal was validated in three phases by researchers, innovators in Mathematics Education, and editors of specialized journals and experts who lead associations and events in the discipline.


Author(s):  
Maria Isabel Ramalho Ortigao ◽  
Carlos Augusto Aguiar Junior

ResumoO texto analisa as relações entre abordagens qualitativa e quantitativa ou relações macro e micro na pesquisa em Educação Matemática desenvolvida em programas de pós-graduação nos últimos dez anos. A discussão é feita a partir de busca ao acervo da Capes, com o intuito de perceber articulações entre essas modalidades de pesquisa. A busca de teses e dissertações foi realizada a partir de palavras-chave e resultou em cinco dissertações e duas teses, defendidas entre 2010 e 2019. A análise evidenciou fraca articulação em cinco dos sete textos. Nestes, a abordagem quantitativa é vinculada à ideia de contagem de frequência e usada para descrever os dados. Nos outros dois trabalhos, as análises evidenciaram forte articulação entre abordagens macro e micro da pesquisa, em que se evidencia um diálogo entre o observado em um e em outro espaço, desenvolvendo um processo de hibridização nas abordagens metodológicas.Palavras-chave: Pesquisa em Educação Matemática, Abordagem qualitativa-quantitativa, Relações macro-micro.AbstractThe aim of the current study is to analyze the relationships between qualitative and quantitative approaches, or macro and micro relationships, in research about Mathematics Education developed in postgraduate programs in the last ten years. The discussion was based on a search carried out in Capes’ collection in order to better understand articulations between these research spaces. The search carried out in the Bank of theses and dissertations was based on keywords and resulted in five dissertations and two theses produced between 2010 and 2019. Analysis has shown weak articulation between macro and micro research spaces in five of the seven texts, whose quantitative approach was linked to the idea of frequency counting and used to describe the analyzed data. In two, the analyzes showed a strong articulation between macro and micro research approaches, in which a dialogue between what was observed in one and another space is evident, developing a process of hybridization in methodological approaches.Keywords: Research in Mathematics Education, Qualitative-quantitative approach, Macro-micro relationships.ResumenEnel presente texto se analizalas relaciones entre los enfoques cualitativo y cuantitativo o relaciones macro y micro eninvestigaciónenel área de Educación Matemática desarrolladasen programas de posgradoenlos últimos diezaños. La discusión es desarrollada a partir de labúsquedadel acervo Capes, conelfin de percibirarticulaciones entre estosespacios de investigación. La búsquedaenel Banco de tesis y monografías se llevó a cabo a partir de palabras clave y se hallaron cinco monografías y dos tesis, producidas entre 2010 y 2019. El análisismostró una articulación débil en cinco de lossiete textos. Enestos textos, el enfoque cuantitativo está vinculado alaidea de conteo de frecuencias y se utiliza para describirlosdatos. Endos, losanálisismostraron una fuertearticulación entre enfoques macro y micro de investigación, enlos que se evidencia un diálogo entre lo observado en uno y otroespacio, desarrollandounproceso de hibridaciónen enfoques metodológicos.Palabras clave: Investigación en Educación Matemática, Enfoque cualitativo-cuantitativo, Relaciones macro y micro


2016 ◽  
Vol 4 (2) ◽  
Author(s):  
Carlos Manosalvas Vaca ◽  
Luis Manosalvas Vaca ◽  
Ruth Barba

La presente investigación, analiza los conceptos más importantes del pensamiento Crítico, así como su importancia y utilidad en los procesos de formación profesional a nivel de Posgrado. Se hace un análisis detallado de los conceptos más ampliamente aceptado y de los factores inmersos en el desarrollo y aplicación de este tipo de pensamiento. Finalmente se propone un modelo que engloba los conceptos y factores analizados y como se interrelacionan entre ellos; el objetivo final es brindar a los docentes y directivos de Instituciones de Educación Superior, una herramienta que posibilite la inclusión de este tipo de pensamiento en sus procesos enseñanza-aprendizaje con el fin último de mejorar la calidad de los procesos de formación. Palabras Clave: Pensamiento Crítico, Educación Superior, Educación ABSTRACT This research analyzes the most important concepts of critical thinking as well as their importance and usefulness for the educational processes at graduate level. A detailed analysis of the most widely accepted concepts and factors involved in the development and application of this kind of thinking has been made. Finally, a model that includes the concepts and analyzed factors and their interrelations is proposed; the ultimate goal is to provide teachers and directors of Institutions in Higher Education, a tool that enables the inclusion of this type of thinking in their teaching and learning processes with the ultimate intention of improving the quality of the training processes. Keywords: Critical thinking, Higher Education, Education Recibido: mayo de 2016Aprobado: septiembre de 2016


2021 ◽  
Vol 107 (1) ◽  
pp. 1-24
Author(s):  
Arthur Bakker ◽  
Jinfa Cai ◽  
Linda Zenger

AbstractBefore the pandemic (2019), we asked: On what themes should research in mathematics education focus in the coming decade? The 229 responses from 44 countries led to eight themes plus considerations about mathematics education research itself. The themes can be summarized as teaching approaches, goals, relations to practices outside mathematics education, teacher professional development, technology, affect, equity, and assessment. During the pandemic (November 2020), we asked respondents: Has the pandemic changed your view on the themes of mathematics education research for the coming decade? If so, how? Many of the 108 respondents saw the importance of their original themes reinforced (45), specified their initial responses (43), and/or added themes (35) (these categories were not mutually exclusive). Overall, they seemed to agree that the pandemic functions as a magnifying glass on issues that were already known, and several respondents pointed to the need to think ahead on how to organize education when it does not need to be online anymore. We end with a list of research challenges that are informed by the themes and respondents’ reflections on mathematics education research.


2021 ◽  
pp. 1356336X2098588
Author(s):  
Jonas Wibowo ◽  
Ben Dyson

In this article, we focus on the contingency between learning and instruction in physical education (PE). We argue that the complex interconnectedness of teachers’ instruction and students’ learning processes should be studied using a unit of analysis that expresses the relationship between the two factors. A contingency perspective foregrounds the individual differences between different learners and how a teacher regards these differences. Furthermore, it has the potential to provide a precise lens for empirical research on how the students’ situations shape the evolution of the teaching--learning process. Based on scaffolding research and adaptive teaching research, which draws on socio-constructivist foundations, we call this unit of analysis ‘contingency’. We outline a framework of research that suggests depicting contingency dimensions, respective instructional continua, and contingency rules when investigating contingency in PE. Furthermore, autonomy as a core contingency dimension for PE and methodological issues will be discussed.


2016 ◽  
Vol 24 (3) ◽  
pp. 394-415 ◽  
Author(s):  
Francisco José Fernández Cruz ◽  
Inmaculada Egido Gálvez ◽  
Rafael Carballo Santaolalla

Purpose Quality management systems are being used more frequently in educational institutions, although their application has generated a certain amount of disagreement among education experts, who have at times questioned their suitability and usefulness for improving schools. The purpose of this paper is to contribute to this discussion by providing additional knowledge on the effects in educational institutions of implementing quality management systems. Specifically, this study investigates teachers’ and managers’ perception of the impact that quality management systems have on one essential dimension of schools, the teaching–learning processes, with impact being understood as sustained medium- and long-term organisational change. Design/methodology/approach The responses were analysed and classified into a set of sub-dimensions linked to quality management processes in a total of 29 Spanish primary and secondary education schools that have used such systems for at least three years. Findings The results showed that, according to the respondents, the following sub-dimensions were improving as a result of implementing quality management plans: teaching and learning processes, the analysis of student results, tutoring, consideration of attitudes and values and assessment processes. Conversely, quality management systems did not seem to have a clear impact on the teaching methodologies used by teachers or on family involvement in student learning. In fact, the perceived impact in these sub-dimensions varied among teachers of public and private schools as well as when comparing different regional autonomous communities. Originality/value As the main objective of a school is to guarantee student learning, one of the essential purposes of school quality assurance systems is to perform all the activities aimed at ensuring high levels of student performance.


2009 ◽  
Vol 27 (1) ◽  
pp. 401-424
Author(s):  
Pamela E. Barnett ◽  
Linda C. Hodges

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