Bolema - Mathematics Education Bulletin最新文献

{"title":"Perspectivas históricas de la Investigación Operacional","authors":"C. Bernardo, Viviane Hengler Corrêa Chaves, Ricardo César Gonçalves Sant’Ana, Marta Pagán Martínez","doi":"10.1590/1980-4415v32n61a03","DOIUrl":"https://doi.org/10.1590/1980-4415v32n61a03","url":null,"abstract":"Resumen La historia de la Investigación Operacional se inserta en la historia de los grandes acontecimientos tecnológicos y científicos del siglo XX, y hacer una reconstrucción histórica de su surgimiento y evolución, objetivo de este artículo, es una manera de entender, además del desarrollo de la matemática aplicada, la movilización de la ciencia durante la Segunda Guerra Mundial y los contextos social y político que la originaron. Otra vertiente de esa historia es su influencia en el surgimiento de otras ciencias y aplicaciones, cuyos desdoblamientos durante la posguerra contribuyeron al aumento de la racionalización de la sociedad moderna. El objetivo de la investigación no es detallar sus técnicas, sino entender sus orígenes y desarrollo, cuyo éxito es atribuido a la práctica interdisciplinar. Los resultados de la investigación posibilitan la discusión de temas tales como la interdisciplinariedad; interacciones entre resolución de problemas prácticos e investigación; valorización de la matematización y globalización de procedimientos y métodos; modelado matemático y, por fin, cómo el conocimiento científico puede ser moldeado por los intereses políticos y sociales.","PeriodicalId":38914,"journal":{"name":"Bolema - Mathematics Education Bulletin","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1590/1980-4415v32n61a03","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67287402","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Extensões de conhecimentos na construção da compreensão de Numeral Decimal","authors":"Cristina Morais, Maria de Lurdes Serrazina","doi":"10.1590/1980-4415V32N61A16","DOIUrl":"https://doi.org/10.1590/1980-4415V32N61A16","url":null,"abstract":"Considering a perspective of numerical development where the concept of number is expanded as different number sets are approached, it’s only natural that pupils rely on their knowledge and extend them to the new  Uma versão preliminar deste artigo foi apresentada no 28o Seminário de Investigação em Educação Matemática (APM, 2017).  Doutoranda em Educação Matemática no Instituto de Educação, Universidade de Lisboa, Portugal. Professora no Externato da Luz, Carnide, Lisboa, Portugal. Membro colaborador da Unidade de Investigação e Desenvolvimento em Educação e Formação (UIDEF), do Instituto de Educação, Universidade de Lisboa, Portugal. Endereço para correspondência: Alameda da Universidade Lisboa, Portugal, CEP: 1649-013. E-mail: cristina.morais@campus.ul.pt.  Doutora em Educação Matemática pela Universidade de Londres (UK). Professora Coordenadora Aposentada da Escola Superior de Educação do Instituto Politécnico de Lisboa, Lisboa, Portugal. Membro integrado da Unidade de Investigação e Desenvolvimento em Educação e Formação (UIDEF), do Instituto de Educação, Universidade de Lisboa, Portugal. Endereço para correspondência: Campus de Benfica do IPL, Lisboa, Portugal, CEP: 1549-003. E-mail: lurdess@eselx.ipl.pt. ISSN 1980-4415 DOI: http://dx.doi.org/10.1590/1980-4415v32n61a16 Bolema, Rio Claro (SP), v. 32, n. 61, p. 631-652, ago. 2018 632 sets, which does not always lead to correct conclusions. Hence, in this paper we aim to understand the potential of situations that suggest incorrect knowledge extensions as a means to promote the construction of decimal number understanding. Part of a broader study that follows a Design Based Research is reported, within which a teaching experiment was carried out with 25 students and their teacher, in 3 and 4 grades. In this paper, we analyze the discussions among four students, organized in pairs, regarding tasks that promoted the discussion of three common incorrect knowledge extensions. The results evidence that the proposed situations promote the use of justifications and counterexamples, developing mathematical reasoning. The results also reveal the potential to build decimal number understanding, namely in models use, unit conceptualization, and place value concept, in particular zero.","PeriodicalId":38914,"journal":{"name":"Bolema - Mathematics Education Bulletin","volume":"32 1","pages":"631-652"},"PeriodicalIF":0.0,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41924718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Teorema do Confronto: discussão didática alternativa articulando as práticas usuais e o software Geogebra","authors":"P. Mateus, Marlene Alves Dias","doi":"10.1590/1980-4415V32N61A15","DOIUrl":"https://doi.org/10.1590/1980-4415V32N61A15","url":null,"abstract":"Resumo Neste artigo, visamos determinar as relações pessoais dos estudantes do 1° ano do curso de licenciatura em ensino de Matemática, em Moçambique, sobre o teorema do confronto e a eficácia didática do software Geogebra na discussão desse teorema na sala de aula. As perguntas da pesquisa foram: como os estudantes participantes do experimento compreendiam o teorema do confronto e como o Geogebra capitalizaria a discussão desse teorema na sala. Usamos a Teoria Antropológica do Didático e a Teoria de Instrumentação. A pesquisa foi de natureza qualitativa, na forma do estudo de caso. Estrategicamente, fizemos: análise preliminar e a priori do conteúdo visado, o experimento, a análise a posteriori e validação interna dos resultados. O experimento possibilitou compreender como o uso do computador, articulado com as práticas usuais, pode auxiliar a compreensão dos estudantes sobre o teorema do confronto.","PeriodicalId":38914,"journal":{"name":"Bolema - Mathematics Education Bulletin","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67287450","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Conocimiento Tecnológico sobre la Correlación y Regresión: un estudio exploratorio con Futuros Profesores","authors":"M. Gea, Pedro Arteaga, Carmen Batanero, J. J. Ortiz","doi":"10.1590/1980-4415V32N60A07","DOIUrl":"https://doi.org/10.1590/1980-4415V32N60A07","url":null,"abstract":"We assessed the technological knowledge on correlation and regression in 25 students who are preparing to become secondary and high school education mathematics teachers in Spain. We relied on the theoretical model by Niess (2005) of teacher’s knowledge to teach with technology. Using data from the United Nations server, the prospective teachers were requested to fit a regression model to the life expectancy according to various development indicators in 194 countries. They were also proposed to choose another dependent variable or to take new data from the United Nations to repeat the analysis. The results suggested a good statistical knowledge  Doctora en Ciencias de la Educación por la Universidad de Granada (UGR), España. Profesora del Departamento de Didáctica de la Matemática de la Universidad de Granada (UGR), Granada, España. Dirección postal: Campus de Cartuja, 18071, Granada, España. E-mail: mmgea@ugr.es.  Doctor en Didáctica de la Matemática por la Universidad de Granada (UGR), España. Profesor del Departamento de Didáctica de la Matemática de la Universidad de Granada (UGR), Granada, España. Dirección postal: Campus de Cartuja, 18071, Granada, España. E-mail: parteaga@ugr.es.  Doctora en Matemática por la Universidad de Granada (UGR), España. Catedrática de la Universidad de Granada (UGR), Granada, España. Dirección postal: Campus de Cartuja, 18071, Granada, España. E-mail: batanero@ugr.es.  Doctor en Matemáticas por la Universidad de Granada (UGR), España. Profesor Titular de la Universidad de Granada (UGR), Melilla, España. Dirección postal: Campus Universitario de Melilla (Universidad de Granada), 52005, Melilla, España. E-mail: jortiz@ugr.es. ISSN 1980-4415 DOI: http://dx.doi.org/10.1590/1980-4415v32n60a07 Bolema, Rio Claro (SP), v. 32, n. 60, p. 134 155, abr. 2018 135 and a good statistical technological knowledge about correlation and regression in most participants. However, some of them showed difficulties in the ideas of independence and incorrelation, in the use of technology or made an uncritical use of it.","PeriodicalId":38914,"journal":{"name":"Bolema - Mathematics Education Bulletin","volume":"32 1","pages":"134-155"},"PeriodicalIF":0.0,"publicationDate":"2018-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1590/1980-4415V32N60A07","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45814401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Probabilidade de Acontecimentos Envolvendo Aspetos Lógicos","authors":"José António Fernandes","doi":"10.1590/1980-4415V32N60A09","DOIUrl":"https://doi.org/10.1590/1980-4415V32N60A09","url":null,"abstract":"","PeriodicalId":38914,"journal":{"name":"Bolema - Mathematics Education Bulletin","volume":"32 1","pages":"172-190"},"PeriodicalIF":0.0,"publicationDate":"2018-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42479132","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Desempenho em Estimativa Numérica de um Grupo de Alunos de 3° e 4° anos do Ensino Fundamental","authors":"Camila Peres Nogues, Beatriz Vargas Dorneles","doi":"10.1590/1980-4415V32N60A08","DOIUrl":"https://doi.org/10.1590/1980-4415V32N60A08","url":null,"abstract":"","PeriodicalId":38914,"journal":{"name":"Bolema - Mathematics Education Bulletin","volume":"32 1","pages":"156-171"},"PeriodicalIF":0.0,"publicationDate":"2018-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47989220","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Los Métodos de Resolución de Problemas y el Desarrollo del Pensamiento Matemático","authors":"J. Lozada, R. D. Fuentes","doi":"10.1590/1980-4415v32n60a03","DOIUrl":"https://doi.org/10.1590/1980-4415v32n60a03","url":null,"abstract":"","PeriodicalId":38914,"journal":{"name":"Bolema - Mathematics Education Bulletin","volume":"32 1","pages":"57-74"},"PeriodicalIF":0.0,"publicationDate":"2018-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1590/1980-4415v32n60a03","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47449937","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Procedimientos Aritméticos en la Resolución de Problemas de Fenómenos Variacionales","authors":"C. Arenas, Sandra Evely Parada Rico, Juan Gabriel Molina Zavaleta","doi":"10.1590/1980-4415V32N60A04","DOIUrl":"https://doi.org/10.1590/1980-4415V32N60A04","url":null,"abstract":"From the mathematical process of elaboration, comparison and practice of procedures, one of the five general mathematics processes according to MEN (1998), we presented in this document, the findings of a research which objective was to characterize some of the difficulties faced by students solving problems involving the variational phenomena. The phenomenological study of the experimental type allowed, through a qualitative methodology, to recognize, regarding the difficulties linked to arithmetic type procedures, that some students entering the Universidad Industrial de Santander (UIS) have difficulty to realize mental calculations putting at stake relations and numerical properties, as well as to use a numerical system suitable to represent the change and the variation of the phenomenon. * Magíster en Ciencias en Matemática Educativa del Centro de Investigación en Ciencia Aplicada y Tecnología Avanzada del Instituto Politécnico Nacional de México (CICATA-IPN). Profesora del Grupo de Educación Matemática de la Universidad Industrial de Santander (Grupo EUDAMAT-UIS), Bucaramanga, Santander (Colombia). Calle 9 Carrera 27, Ciudad Universitaria, Edificio Camilo Torres, Escuela de Matemáticas Bucaramanga, Santander (Colombia), código postal 680002. E-mail: claubaren@gmail.com. ** Doctora en Ciencias en Matemática Educativa del Centro de Investigación y de Estudios Avanzados (CINVESTAV). Institución de adscripción Universidad Industrial de Santander; Calle 9 Carrera 27, Ciudad Universitaria, Profesora de la Escuela de Matemáticas de la Universidad Industrial de Santander (UIS), Bucaramanga, Santander (Colombia). Calle 9 Carrera 27, Ciudad Universitaria, Edificio Camilo Torres, Escuela de Matemáticas Bucaramanga, Santander (Colombia), código postal 680002. E-mail: sanevepa@.uis.edu.co. *** Magíster en Ciencias con especialidad en Matemática Educativa del Centro de Investigación y de Estudios Avanzados (CINVESTAV). Profesor Centro de Investigación en Ciencia Aplicada y Tecnología Avanzada del Instituto Politécnico Nacional de México (CICATA-IPN), Legaria, Irrigación (México). Legaria # 694 Col. Irrigación, México D.F. C.P. 11500, código postal 11500. E-mail: jmolinaz@ipn.mx. ISSN 1980-4415 DOI: http://dx.doi.org/10.1590/1980-4415v32n60a04 Bolema, Rio Claro (SP), v. 32, n. 60, p. 75 91, abr. 2017 76","PeriodicalId":38914,"journal":{"name":"Bolema - Mathematics Education Bulletin","volume":"32 1","pages":"75-91"},"PeriodicalIF":0.0,"publicationDate":"2018-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46926173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Elementos de uma História de Formação Docente: as memórias de um professor de Matemática","authors":"M. L. Gomes","doi":"10.1590/1980-4415V32N60A10","DOIUrl":"https://doi.org/10.1590/1980-4415V32N60A10","url":null,"abstract":"This article focuses on the book of memories of Carlos Galante (1920-2003), professor of Mathematics and author of textbooks from the state of São Paulo, who taught in several Brazilian public and private institutions for almost 50 years. The text begins with theoretical-methodological considerations about autobiographical reports as a source of research. Next, Carlos Galante and his book are presented. The memories are analyzed according to three aspects: the author’s initial family and school formation, his life as a student and his role as a Mathematics teacher. In the final comments, Galante’s memories are related to theoretical-methodological dimensions that guide the research with autobiographical sources.","PeriodicalId":38914,"journal":{"name":"Bolema - Mathematics Education Bulletin","volume":"32 1","pages":"191-211"},"PeriodicalIF":0.0,"publicationDate":"2018-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44643927","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Tarefas Matemáticas para o Desenvolvimento da Percepção de Espaço na Educação Infantil: potencialidades e limites","authors":"Celma Bento Moreira, T. C. R. S. Gusmão, Vicençx Font Moll","doi":"10.1590/1980-4415V32N60A12","DOIUrl":"https://doi.org/10.1590/1980-4415V32N60A12","url":null,"abstract":"This article aims to analyze the potentialities and limits of mathematical tasks, elaborated based on the didactic suitability criteria, to favor the development of space perception in children of Early Childhood Education. The criteria of didactic suitability, theoretical tools of the ontosemiotic approach, serve for analysis and evaluation of teaching and learning processes. This qualitative study was developed with the children of Group 3 in the Federal University of Bahia day-care center, through the implementation of task sequences. The results showed that, overall, the task’s sequences had a level of didactic suitability from medium-high to high and, although they did not reach a high level of suitability, they played a coherent interrelationship, contributing with a favorable * Mestrado em Educação Científica e Formação de Professores pela Universidade Estadual do Sudeste da Bahia (UESB). Professora da Universidade Federal da Bahia (UFBA), Salvador, Bahia, Brasil. Endereço para correspondência: Creche/UFBA. Rua Padre Feijó, 52, Canela, Salvador/Bahia, CEP: 40.110-170, Brasil. E-mail: celmabm@gmail.com. ** Doutorado em Didática da Matemática pela Universidade de Santiago de Compostela (USC). Professora da Universidade Estadual do Sudoeste da Bahia (UESB), Vitória da Conquista, Bahia, Brasil. Endereço para correspondência: Departamento de Ciências Exatas e Tecnológicas. Estrada do Bem-Querer, km 4, Caixa Postal 95, Vitória da Conquista/BA, CEP: 45083-900, Brasil. E-mail: professorataniagusmao@gmail.com. *** Doctorado en Ciencias de la Educación por la Universitat de Barcelona (UB). Profesor Titular de la Universidad de Barcelona (UB), Barcelona, España. Dirección postal: C/ Fígols, 15, CP 08028, Barcelona, España. E-mail: vicencfont@ono.com. ISSN 1980-4415 DOI: http://dx.doi.org/10.1590/1980-4415v32n60a12 Bolema, Rio Claro (SP), v. 32, n. 60, p. 231 254, abr. 2018 232 course of approach for the children, with important notions for the development of space perception, showing, as a whole, the potential of the designed tasks and, therefore, the suitable character of the proposal. Specifically, the mediational criterion, which concerns, for example, material resources, ended up functioning as a learning boundary, since it was a distractor, diverting children's attention to other learning objectives.","PeriodicalId":38914,"journal":{"name":"Bolema - Mathematics Education Bulletin","volume":"32 1","pages":"231-254"},"PeriodicalIF":0.0,"publicationDate":"2018-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44604599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}