Revista Latinoamericana De Investigacion En Matematica Educativa-Relime最新文献

{"title":"Una secuencia didáctica para la enseñanza de la transformación lineal: unificación de métodos y problemas, modelización y explicitación del aprendizaje","authors":"Sara Pazcual Pizarro","doi":"10.12802/relime.20.2331","DOIUrl":"https://doi.org/10.12802/relime.20.2331","url":null,"abstract":"Este trabajo contribuye, por un lado, a determinar las implicaciones didácticas de un análisis epistemológico sobre la generalidad de métodos económicos y análogos en la resolución de problemas de carácter lineal y, por otro lado, a construir y evaluar una secuencia didáctica que haga entender mejor por los estudiantes el significado de un concepto unificador y ayudar a la movilización espontánea de sus propiedades por la exposición a una serie de problemas que recurren a diferentes marcos matemáticos (numérico, geométrico, físico y analítico). La articulación teórica concierne a la Modelización y la Dualidad proceso/objeto en la formación del concepto. Nos inspiramos en una ingeniería didáctica para presentar una parte de los resultados de nuestra investigación. Estos resultados se refieren a los niveles de explicitación y a las competencias desarrolladas en el uso de las habilidades técnicas y métodos matemáticos que ayudan a explicitar el proceso de formación de la noción.","PeriodicalId":43825,"journal":{"name":"Revista Latinoamericana De Investigacion En Matematica Educativa-Relime","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48540671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A study on the pre-service elementary mathematics teachers’ knowledge on the convergence and divergence of series in the context of theory and application","authors":"Özkan Ergene, A. Ş. Özdemi̇r","doi":"10.12802/relime.20.2323","DOIUrl":"https://doi.org/10.12802/relime.20.2323","url":null,"abstract":"espanolEl foco de esta investigacion es el examen del conocimiento teorico y practico sobre la convergencia y la divergencia de la serie. En linea con el enfoque de investigacion, los maestros pre-servicio de matematica sobre la convergencia y divergencia de la serie con la ayuda del problema de la vida real en el contexto de la teoria y la aplicacion utilizando el concepto de series armonicas. La investigacion se guio de un metodo cualitativo, estudio de caso. Los datos de la investigacion han consistido en dos preguntas escritas y un problema y cuatro preguntas de entrevista que fueron formadas por los investigadores y se aseguro su validez y confiabilidad. El estudio llego a la conclusion de que maestros de pre-servicio matematica tienen conocimientos teorico sobre la convergencia de series y series armonicas, su percepcion de las series, las series armonicas, los conceptos de convergencia y divergencia cambiaron en el proceso de solicitud y adoptaron diferentes enfoques en la resolucion de problemas. EnglishThe focus of this research is the examination of the theoretical and practical knowledge regarding the convergence and divergence of the series. In line with the research focus, it is aimed to reveal the approaches of pre-service elementary mathematics teachers on the convergence and divergence of the series with the help of the real-life problem in the context of theory and application by using the concept of harmonic series. The research carried out the qualitative research method is designed according to the case study. The data of the research have consisted of two written questions and one problem and four interview questions which were formed by the researchers and their validity and reliability were ensured. The study concluded that pre-service teachers have theoretical knowledge on the convergence of series and harmonic series. Also, their perception of series, harmonic series, convergence and divergence concepts changed in the application process and they performed different approaches in problem-solving","PeriodicalId":43825,"journal":{"name":"Revista Latinoamericana De Investigacion En Matematica Educativa-Relime","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44006184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Hipótesis y conjeturas en el desarrollo del pensamiento estocástico: retos para su enseñanza y en la formación de profesores","authors":"M. Huerta","doi":"10.12802/relime.20.2313","DOIUrl":"https://doi.org/10.12802/relime.20.2313","url":null,"abstract":"espanolEn este articulo se reflexiona alrededor de la importancia que puede tener la dialectica hipotesis - conjeturas no solo para el desarrollo del razonamiento demostrativo, sino que tambien para el desarrollo del pensamiento estocastico en los estudiantes. Se argumenta para ello razones de tipo curricular, de un enfoque de la ensenanza basado en la resolucion de problemas, de una manera de resolver los problemas que considera la simulacion como metodo de resolucion con contenido heuristico y, finalmente, en nuevas propuestas sobre las matematicas que requerira el ciudadano del siglo XXI y que incluye el analisis de datos en contextos de incertidumbre. En consecuencia, se presenta una propuesta de formacion inicial del profesorado que les permita abordar tales retos. EnglishThis paper reflects on the importance that the dialectic of hypothesis - conjectures can have, not only for the development of demonstrative thinking in students, but also for the development of stochastic thinking. It argues for curricular reasons, for an approach to teaching based on problem solving, for a way of solving problems that considers simulation as a method of resolution with heuristic content and, finally, for new proposals on mathematics that the citizen of the XXI century will require and that includes the analysis of data in contexts of uncertainty. Consequently, a proposal is presented for the training of pre-service teachers to enable them to deal with such challenges.","PeriodicalId":43825,"journal":{"name":"Revista Latinoamericana De Investigacion En Matematica Educativa-Relime","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42541102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"In memoriam Eugenio Filloy y François Pluvinage","authors":"R. Cantoral","doi":"10.12802/relime.20.2310","DOIUrl":"https://doi.org/10.12802/relime.20.2310","url":null,"abstract":"","PeriodicalId":43825,"journal":{"name":"Revista Latinoamericana De Investigacion En Matematica Educativa-Relime","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66158685","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Puntos medios en triángulo: un caso de construcción de significado personal y mediación semiótica","authors":"Patricia Perry, Leonor Camargo, Carmen Samper","doi":"10.12802/relime.19.2233","DOIUrl":"https://doi.org/10.12802/relime.19.2233","url":null,"abstract":"Presentamos un estudio de investigacion interpretativa en el que a traves de una entrevista no estructurada se rastrea la construccion de significado personal de un hecho geometrico por parte de un estudiante de grado septimo; el proceso fue mediado semioticamente por la entrevistadora. El analisis, presentado a manera de vinetas, se hace desde una perspectiva semiotica basada en la teoria del signo triadico de Peirce. Se evidencia que la introduccion a una actividad de indole cientifica puede beneficiarse notablemente de la mediacion semiotica de un experto, en particular, para que el estudiante aclare, relacione y exprese sus ideas.","PeriodicalId":43825,"journal":{"name":"Revista Latinoamericana De Investigacion En Matematica Educativa-Relime","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49415559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Formas de difusión institucional del conocimiento: un papel para Relime","authors":"R. Cantoral","doi":"10.12802/relime.19.2230","DOIUrl":"https://doi.org/10.12802/relime.19.2230","url":null,"abstract":"En editoriales previos se han tratado temáticas diversas, que van desde la pertenencia de Relime en índices, directorios, repositorios y bases de datos de revistas internacionales y su ref lejo en los indicadores bibliométricos, hasta la necesidad de participar en la formación de una comunidad académica. Si bien la revista nace en Latinoamérica, impulsada por un grupo pionero, se le concibió e impulsó como una estrategia regional que se propuso jugar el papel de una publicación científica de clase mundial: ser global desde lo local.","PeriodicalId":43825,"journal":{"name":"Revista Latinoamericana De Investigacion En Matematica Educativa-Relime","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48430620","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Efectos de enseñar matemáticas a través de actividades musicales","authors":"Dorinda Mato-Vázquez, Rocío Chao-Fernández, Aurelio Chao-Fernández","doi":"10.12802/RELIME.19.2222","DOIUrl":"https://doi.org/10.12802/RELIME.19.2222","url":null,"abstract":"espanolEl proposito de este estudio es determinar los efectos a nivel cognitivo en dos grupos de estudiantes de Educacion Infantil (49 sujetos de 5 y 6 anos): al Grupo Experimental (GE) se le aplicaron actividades musicales relacionadas con contenidos de matematicas durante dos meses, mientras que el Grupo Control (GC) ejecuto actividades matematicas tradicionales. El instrumento utilizado fue un cuestionario que cumplimentaron las profesoras antes y despues de poner en practica las actividades, tras recoger —a traves de notas de campo diarias— los aprendizajes matematicos adquiridos por los estudiantes. Para el analisis de los datos se utilizo estadistica descriptiva e inferencial. Se encontraron efectos significativos y positivos en el rendimiento del Grupo Experimental en todos los items. Se puede concluir que utilizar la musica representa una excelente alternativa en Educacion Infantil, ya que tiene un impacto positivo en el aprendizaje. EnglishThe purpose of this study was to determine the effects on the cognitive level of two groups of students of Early Childhood Education (49 subjects of 5 and 6 years old), after applying in the classroom of the Experimental Group different musical activities related to mathematics for two months, while the Control Group continued being taught solely with traditional mathematical activities. The used instrument was a questionnaire that the teachers completed before and after the implementation of the activities, after collecting the mathematical learning acquired by students through daily field notes. For data analysis, descriptive and inferential statistics were used. Significant and positive effects on the performance of the Experimental Group were found in all items. It can be concluded that the use of music represents an excellent alternative in Early Childhood Education because it has a positive impact on learning.","PeriodicalId":43825,"journal":{"name":"Revista Latinoamericana De Investigacion En Matematica Educativa-Relime","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41764987","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Enseñanza de la matemática para la justicia social en cursos de postgraduación","authors":"V. Molfino, Cristina Ochoviet","doi":"10.12802/RELIME.19.2221","DOIUrl":"https://doi.org/10.12802/RELIME.19.2221","url":null,"abstract":"espanolEn este trabajo reportamos las reacciones de un grupo de profesores de matematica cursando estudios de postgraduacion en modalidad virtual, al solicitarseles disenar una secuencia de ensenanza desde la perspectiva de la Ensenanza de la Matematica para la Justicia Social, para ser aplicada en la formacion de profesores de matematica. Las evidencias recogidas dejan entrever las dificultades de los participantes para la comprension de la perspectiva, asi como para desarrollar disenos de ensenanza desde ella. El trabajo en foro de discusion permitio sortear algunas de estas dificultades debido a que las intervenciones de los participantes y de las docentes del curso aportaron retroalimentacion que favorecio la reflexion critica y el diseno creativo de situaciones de ensenanza. EnglishIn this article we report the reactions of a group of mathematics teachers studying postgraduate studies in virtual modality, when they were asked to design a teaching sequence from the perspective of Teaching Mathematics for Social Justice, to be applied in mathematics teacher training. The evidence collected reveals the difficulties of the participating teachers with the understanding of the perspective as well as to develop teaching designs from this perspective. The work in the discussion forum allowed them to overcome some of those difficulties because the interventions of the participants and the teachers of the course provided feedback that favored critical reflection and the creative design of teaching situations.","PeriodicalId":43825,"journal":{"name":"Revista Latinoamericana De Investigacion En Matematica Educativa-Relime","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46480228","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Razonamiento configural y organización discursiva en proceso de prueba en contexto geométrico","authors":"Antonio Saorin Villa, Germán Torregrosa Gironés, Humberto Quesada Vilella","doi":"10.12802/RELIME.19.2224","DOIUrl":"https://doi.org/10.12802/RELIME.19.2224","url":null,"abstract":"espanolEn este estudio analizamos el cambio de estatus de las afirmaciones matematicas que componen el proceso discursivo en la resolucion de problemas geometricos de prueba. En particular, nos centramos en como se desarrolla y organiza el discurso escrito (respuesta) que comunica la solucion, con el objetivo de identificar relaciones con los desenlaces del razonamiento configural. Para ello, analizamos las respuestas de estudiantes de cuarto curso de educacion secundaria obligatoria a cuatro problemas geometricos de prueba. Los resultados ponen de manifiesto la necesidad de un cambio en el estatus de las afirmaciones matematicas involucradas en el razonamiento que conduce a la solucion y el desarrollo de una argumentacion que progrese desde el modo de acumulacion hasta el modo de sustitucion. No obstante, la presencia de estas caracteristicas del proceso de prueba, no garantiza que se de el truncamiento del razonamiento configural que genera la prueba formal, debido, entre otros factores, a la influencia que ejerce la subconfiguracion relevante identificada en el proceso de razonamiento EnglishIn this study, we analyze the status change of the different mathematical affirmations that compose the discursive process in solving proof problems into geometry context. In particular, we focus on the way in which it is developed and organized the written discourse (answer) which allows communicating the solution, with the aim of identifying relationships with the configural reasoning outcomes. For this, we analyze the answers of students in the four grade of compulsory secondary education to four proof problems in a geometrical context. The results highlight the necessity of a change into the status of the mathematical affirmations involved in the reasoning leading to the solution, as well as the development of an argumentation that it should be developed from the accumulation mode to the substitution one. However, the presence of these characteristics of the proof process don’t guarantee that the configural reasoning “truncation” that generates the formal proof will occur, due to, among other factors, the influence exerted by the relevant subconfiguration identified in the reasoning process.","PeriodicalId":43825,"journal":{"name":"Revista Latinoamericana De Investigacion En Matematica Educativa-Relime","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44433405","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Usos de la optimización de ingenieros en formación: el rol de la ingeniería mecatrónica y de la obra de Lagrange","authors":"F. Cordero, Cinvestav-IPN, Tamara Del Valle, A. Morales","doi":"10.12802/RELIME.19.2223","DOIUrl":"https://doi.org/10.12802/RELIME.19.2223","url":null,"abstract":"espanolLa ensenanza de la optimizacion habitualmente se ha convertido en un proceso mecanico y desprovisto de argumentaciones: en general son ignorados sus usos en situaciones especificas de otras disciplinas, tales como la ingenieria. Con la Teoria Socioepistemologica, hacemos una investigacion empirica donde se problematiza la epistemologia de usos para valorar la justificacion funcional que demandan otros dominios de conocimiento. Analizamos aspectos de la obra Mecanica Analitica de Lagrange y del trabajo de ingenieros mecatronicos. Se definio a ingenieros en formacion como la comunidad de estudio, y se sustenta la emergencia de una situacion especifica de seleccion asi como sus usos y significados de la optimizacion. La metodologia consistio en la tecnica de analisis documental y en entrevistas semiestructuradas. Se encontro que las situaciones de seleccion generan significaciones y argumentaciones de optimizacion. EnglishThe teaching of optimization, has usually become a mechanical process and devoid of arguments: in general their uses are ignored in specific situations of other disciplines, such as engineering. With the Socio - Epistemological Theory, we make an empirical investigation, where the epistemology of uses is problematized to value the functional justification demanded by other domains of knowledge. We analyze aspects of the Lagrange Analytical Mechanics work and the work of mechatronic engineers. Engineers in training were defined as the study community and the emergence of a specific selection situation is supported as its uses and meanings of optimization. The methodology consisted in the technique of documentary analysis and semistructured interviews. It was found that selection situations generate optimization meanings and arguments.","PeriodicalId":43825,"journal":{"name":"Revista Latinoamericana De Investigacion En Matematica Educativa-Relime","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48909945","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}