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Ideias matemáticas na prática de um serralheiro: contexto para o ensino de matemática 锁匠实践中的数学思想:数学教学的语境
Pub Date : 2019-12-26 DOI: 10.22267/RELATEM.19124.37
Roberta Luzia Soares de Souza
This work is in charge of presenting the results of a research that aims to understand mathematical ideas mobilized in a locksmith’s practice that can constitute a context for teaching school mathematics. The research subject is a locksmith with 29 years of experience. The research of a qualitative type with the contribution of ethnographic research. For data colletion, observation, interview and photographic record were used. Data analysis was performed using the triangulation method. The results obtained allow us to affirm that is the constext of the lochsmith there is a mobilization of mathematical ideas in the construction of grids and in the work instruments called templates. Such ideas are related to mathematical content taught in Basic Educacion, both in Elementary and Secondary Educacion, which can be used by the teacher as a context for teaching mathematics.
这项工作负责展示一项研究的结果,该研究旨在理解锁匠实践中动员的数学思想,这些思想可以构成学校数学教学的背景。研究对象是一位有29年从业经验的锁匠。以民族志研究为贡献的定性研究。资料收集采用观察、访谈、摄影记录等方法。数据分析采用三角剖分法。获得的结果使我们能够肯定,在湖匠的背景下,在网格的构建和称为模板的工作工具中,有一种数学思想的动员。这些想法与基础教育中教授的数学内容有关,无论是在小学还是中学教育中,教师都可以将其作为数学教学的背景。
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引用次数: 0
Una experiencia del recorrido territorial de una etnoeducadora inga. La localización en el desarrollo del pensamiento matemático 因加民族教育家的领土之旅体验。数学思维发展中的本土化
Pub Date : 2019-12-26 DOI: 10.22267/RELATEM.19124.31
Gustavo Adolfo Marmolejo Avenia, J. Chamorro, Edwin Insuaty
La investigacion visibiliza elementos culturales y sociales afiliados a actividades pedagogicas que una etnoeducadora Inga de Santiago (Valle de sibundoy, Colombia) gestiona para el desarrollo de pensamiento matematico. En particular, se contempla el rol de la localizacion en procesos de espacialidad. El estudio se desarrollo en la Institucion Etnoeducativa Rural Bilingue Iachai Wasi Carlos Tamabioy de Santiago. Se selecciono el metodo de investigacion cualitativa a fin de obtener una rica comprension de la vision matematica y su uso para el Inga. Los resultados aportan al fortalecimiento de procesos pedagogicos etnomatematicos y contribuyen a la explicitacion de pensamiento matematico propio.
这项研究揭示了与圣地亚哥民族教育家因加(哥伦比亚西本多伊山谷)为发展数学思维而管理的教育活动有关的文化和社会因素。本研究的目的是探讨空间性在空间性过程中的作用。这项研究是在圣地亚哥的Iachai Wasi Carlos Tamabioy农村双语民族教育机构进行的。本研究的目的是探讨因加语的数学视觉及其在课堂上的应用。本研究的主要目的是探讨民族数学教学过程的发展,以及民族数学思维的发展。
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引用次数: 0
Matemáticas y educación sexual mediante modelación de ecuación de la recta 通过直线方程建模的数学和性教育
Pub Date : 2019-12-26 DOI: 10.22267/RELATEM.19124.34
Cristian Matías Muñoz Jeldres
Sexual education in Chile is the least developed one in Latin America since 2008 to 2015 (Hunt, Monterrosas& Mimbela, 2015) which is why it is desirable to generate innovations from every discipline. That is the purposeof the creation of this didactical approach, framed in high school, where the objective is to analyze the creation of mathematical models of linear equations given the numbers of people diagnosed with six different STIs (sexually transmitted infections) in Chile through the period of 2012-2015 that allows to estimate the ciphersfor 2016 and 2017, this with the aim to compare them with the real ciphers of said years to make visible theexcessive rising of diagnosed STIs recently (Cassinelli & Fernandez, 2018) and start a dialogue about de STIprevention and self-care in teenagers. The applied approach was based on the mathematics sociocritical perspective and the mathematical modeling (Barbosa 2003, 2018; Barbosa & Santos, 2018; Gomes & Barbosa, 2014). The proposal was applied as a group-work lesson with a 38 students mixed class of secondary school where some of the main results that are highlighted are the difficulties of certain students to communicate mathematically, the variety of mathematical models on the six cases of STIs in response to the answers given from each group, and a bigger awareness about the STIs prevention and self-care. This approach sets a precedent for mathematics and sexual education in Chile by joining both areas with the objective of promoting self-care from a disciplinary analysis of mathematical objects involved in a real-life situation.
智利的性教育是自2008年至2015年以来拉丁美洲最不发达的性教育(Hunt,Monterrosas&Mimbela,2015),这就是为什么每个学科都需要创新。这就是创建这种教学方法的目的,该方法以高中为框架,目标是分析线性方程数学模型的创建,考虑到2012-2015年期间智利被诊断患有六种不同性传播感染的人数,从而可以估计2016年和2017年的密码,目的是将其与上述年份的真实密码进行比较,以显示最近诊断的性传播感染的异常上升(Cassinelli&Fernandez,2018),并就青少年的性传播疾病预防和自我护理展开对话。应用方法基于数学社会批判视角和数学建模(Barbosa 20032018;Barbosa和Santos,2018;Gomes和Barbosa,2014)。该提案被应用于一个由38名学生组成的中学混合班的小组作业课,其中突出的一些主要结果是某些学生在数学上交流的困难,针对每组给出的答案建立的六种性传播感染病例的各种数学模型,以及对性传播感染预防和自我护理的更大认识。这种方法为智利的数学和性教育开创了先例,将这两个领域结合起来,目的是通过对现实生活中涉及的数学对象的学科分析来促进自我保健。
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引用次数: 0
Etnomatemática e Trabalho Colaborativo na Educação Inclusiva de Adultos no Contexto da Economia Solidária 团结经济背景下成人全纳教育中的民族数学与合作工作
Pub Date : 2019-01-01 DOI: 10.22267/RELATEM.19124.38
Renata Cristina Geromel Meneghetti, Edinei De Oliveira Filho
This article addresses pedagogical activities of Mathematics Education developed in the context of a Solidary Economic Enterprise (SEE). The aim of this investigation was to plan and execute pedagogical actions in this context based on the principles of Ethnomathematics, starting from D’Ambrosio, Knijnik, Rosa and Orey and Lubeck and Rodrigues; and also, Vygotsky’s theory regarding collaborative work. The investigation followed a predominantly qualitative approach based on the action research methodology, which sought to promote the social transformation of the members of this SEE by solving problems with respect to the mathematical knowledge involved in calculating change of money in the sales processes inherent to the activities of their work. As a result, it was observed that considering the Ethnomathematics of this EES favored the understanding and appreciation of mathematical practices and that the collaborative work developed helped in the discussions on mathematical procedures and concepts, mainly strengthening the principle of cooperation, which is one of the pillars of the Solidary Economy.
本文讨论了在一个团结经济企业(SEE)的背景下发展的数学教育的教学活动。这项调查的目的是根据民族数学的原则,从D’ambrosio、Knijnik、Rosa和Orey、Lubeck和Rodrigues开始,在这种背景下计划和执行教学行动;以及维果茨基关于协同工作的理论。调查主要采用基于行动研究方法的定性方法,该方法旨在通过解决与计算销售过程中固有的金钱变化有关的数学知识问题来促进SEE成员的社会转型。因此,人们观察到,考虑这个EES的民族数学有利于理解和欣赏数学实践,并且开发的协作工作有助于讨论数学程序和概念,主要是加强合作原则,这是团结经济的支柱之一。
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引用次数: 0
Matemáticas con pertinencia social, cultural, y territorial Matemáticas与社会、文化、地域相关
Pub Date : 2019-01-01 DOI: 10.22267/RELATEM.19124.30
P. P. Rincón, M. Tun
Este número aporta una cantidad considerable de trabajos tanto teóricos como prácticos acerca de la Etnomatemática, y como tal, sirve como una fuente valiosa para educadores, estudiantes, y personas interesadas en el mundo diverso de las prácticas matemáticas y culturales. Los autores presentan argumentos ilustradores y originales acerca de la importancia de analizar de forma crítica las percepciones actuales que existen acerca de los límites del campo de las matemáticas.
这个问题提供了大量关于民族数学的理论和实践工作,因此,为教育工作者、学生和对数学和文化实践的多样化世界感兴趣的人提供了宝贵的资源。作者提出了说明和原创的论点,批判性地分析当前存在的关于数学领域边界的看法的重要性。
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引用次数: 0
Função do 1º Grau em Narrativas de Produtores de leite bovino 一级在牛奶生产者叙事中的作用
Pub Date : 2019-01-01 DOI: 10.22267/RELATEM.19124.35
Lucas Silva Pires
This article is part of a research carried out together with students of the Boa Esperanca school of Tauari village in PA Paulo Fontelles, located in the municipality of Sao Domingos do Araguaia. Our objective is to investigate sociocultural practices for the teaching of linear equation from narratives of bovine milk producers. Our goal is to present the creation of a set of curricular mathematical activities based on narratives resulting from the socio-cultural practices of the country man for use in the school context of rural education. It is based on political and pedagogical principles of the Field Education and on sociocultural aspects of Ethnomathematics. The main concern is to answer "to what extent can the narratives of bovine milk producers contribute to the teaching of linear equation?"In order to obtain answers, this study was developed in four moments described below: (i) preparation of a question form; (ii) semi-structured interviews; (iii) transcripts of narratives; and (iv) problematization of issues. The results indicated the importance of this activity as a strategy for the teaching of Mathematics. Therefore, we can see that it is possible to teach linear equation from sociocultural practices of bovine milk producers, which brings strengths of political, pedagogical and didactic principles to rural schools.
本文是与Sao Domingos do Araguaia市PA Paulo Fontelles的tawaari村Boa Esperanca学校的学生一起进行的一项研究的一部分。我们的目标是调查社会文化实践的线性方程的教学从叙述的牛奶生产者。我们的目标是在农村教育的学校背景下,以农村人的社会文化实践为基础,提出一套基于叙事的课程数学活动。它以实地教育的政治和教学原则以及民族数学的社会文化方面为基础。主要问题是回答“牛奶生产者的叙述在多大程度上有助于线性方程的教学?”为了获得答案,本研究在以下四个时刻进行:(i)准备问题表格;(ii)半结构化访谈;(iii)叙述的文字记录;(四)问题的问题化。结果表明该活动作为数学教学策略的重要性。因此,我们可以看到,从牛奶生产者的社会文化实践中教授线性方程是可能的,这给农村学校带来了政治、教学和教学原则的优势。
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引用次数: 0
A influência de Bertrand Russell no posicionamento político-ideológico da obra de Ubiratan D’Ambrosio 罗素对乌比拉坦·丹布罗西奥作品政治意识形态定位的影响
Pub Date : 2017-07-01 DOI: 10.25090/REMAT25269062V14N172017P173A188
J. Valle
O proposito deste texto consiste em delinear o modo como o pensamento de Bertrand Russell e mesmo suas posturas diante de momentos significativos de sua vida influenciaram a obra de Ubiratan D’Ambrosio, impactando sua trajetoria academica, alem de sua producao teorica. Neste sentido, trata-se, inclusive, de um exame dos possiveis fundamentos filosoficos da Etnomatematica que tem, em decorrencia desta influencia, elementos estruturantes associados as compreensoes filosoficas russellianas como, por exemplo, o modo como ambos entendem a educacao, a ciencia, as avaliacoes e o ensino de matematica.
本文的目的是概述伯特兰·罗素的思想,甚至他在生命中重要时刻的立场,如何影响乌比拉坦·德安布罗西奥的工作,影响他的学术轨迹,以及他的理论成果。从这个意义上说,它甚至是对民族数学可能的哲学基础的考察,由于这种影响,与俄罗斯哲学理解相关的结构元素,例如,他们理解教育、科学、评价和数学教学的方式。
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引用次数: 0
Microagressões no ensino superior nas vias da Educação Matemática 高等教育数学教育路径中的微攻击
Pub Date : 2016-10-27 DOI: 10.22267/RELATEM.1693.14
G. Silva, A. B. Powell
Resumo Microagressoes sao formas sutis de insultos verbais, nao verbais e visuais, direcionadas a individuos com base em raca, genero, etnia, classe social, dialeto ou religiao, frequentemente feitas automaticamente ou inconscientemente pelos agressores, mas que sao capazes de causar um profundo impacto sobre a vida dos agredidos. As microagressoes tambem expressam uma forma evoluida do racismo, visto que formas mais agressivas e sistemicas de racismo nao sao mais socialmente aceitaveis como no passado. No contexto da educacao em nivel superior, muitos pesquisadores tem apontado que a constante exposicao as microagressoes experienciadas pelos estudantes pode se tornar um fator negativo tanto para sua permanencia quanto para seu desempenho academico, uma vez que interferem negativamente em sua integracao social e academica com o clima do campus. Neste sentido, o proposito deste trabalho e refletir sobre o conceito de microagressoes e suas possiveis implicacoes nas universidades. Isso sera feito atraves de uma revisao de diversos estudos e pesquisas, bem como por meio de discussoes baseadas em dados produzidos em uma pesquisa conduzida pelo primeiro autor. Estes dados estao relacionados as experiencias com microagressoes relatadas por estudantes de cursos superiores da area das ciencias exatas beneficiados por acoes afirmativas. Consideramos que as implicacoes praticas deste trabalho podem contribuir para um melhor entendimento sobre as experiencias que influenciam na permanencia e no progresso academico destes estudantes, as quais frequentemente ultrapassam questoes tradicionais relacionadas ao ensino e a aprendizagem. Abstract Microaggressions are subtle insults, verbal and not-verbal, addressed to individuals based on race, gender, ethnic, social class, dialect, or religion often made unthinkingly or unconsciously by aggressors but can cause a huge impact on the life of the assaulted. Microaggressions also express an evolved form of racism, since more aggressive forms and systemic racism are not as socially acceptable as in the past. In higher education, several researchers have emphasized that the constant exposure to microaggressions that students experience could be a negative factor in their academic development as well as their permanence, since they interfere with social and academic integration and with campus climate. Our aim is to reflect on the concept of microaggression and its possible implications in universities. This will be done through a review of literature as well as discussions based on data produced in a research conducted by first author related to experiences with microaggressions described by STEM affirmative action students. We believe that the practical implications of this work can contribute to a better understanding about experiences that influence in the permanence and academic progress of these students that often exceed traditional questions related to learning and teaching.
总结Microagressoes是微妙的方式,视觉语言和言语侮辱,不是针对个人基于种族、国家、种族、社会阶层、方言或宗教,经常自动完成或无意的攻击者,但他们能够生活的攻击造成深刻的影响。微攻击也表达了种族主义的一种进化形式,因为更有攻击性和系统性的种族主义形式不再像过去那样被社会接受。在教育在更高层次的环境中,许多研究人员指出,不断显示。microagressoes experienciadas学生能成为一个消极的因素对你的17和学术的表现,一旦有负面影响其社会整合和学术的校园环境。从这个意义上说,这项工作的目的是反思微攻击的概念及其在大学中的可能含义。这将通过对各种研究和研究的回顾,以及基于第一作者进行的调查数据的讨论来完成。这些数据与从平权行动中受益的精确科学领域的高等教育学生报告的微攻击经验有关。我们认为,这项工作的实际含义可能有助于更好地理解影响这些学生的持久性和学术进步的经验,这些经验往往超越了与教学和学习有关的传统问题。摘要微攻击是指以种族、性别、民族、社会阶层、方言或宗教为基础对个人进行的言语和非言语的微妙侮辱,往往是侵略者不计后果或无意识地造成的,但可能对被攻击者的生活造成巨大影响。微攻击也表现出一种进化的种族主义形式,因为更多的攻击性形式和系统性种族主义已不再像过去那样被社会所接受。在高等教育方面,一些研究人员强调,学生不断遭受的微攻击可能对他们的学术发展和持久性产生负面影响,因为它们干扰了社会和学术融合以及校园气候。我们的目的是反思微侵略的概念及其在大学中的可能影响。这将通过对文献的回顾以及第一作者所进行的关于STEM平权行动学生所描述的微攻击经验的研究所产生的数据进行的讨论来完成。我们认为,这项工作的实际意义有助于更好地了解影响这些学生的持久性和学术进步的经验,这些经验往往超越了与学习和教学有关的传统问题。
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引用次数: 16
Afetividade, etnomatemática e cultura negra 情感、民族数学与黑人文化
Pub Date : 2016-10-27 DOI: 10.22267/RELATEM.1693.13
Vanisio Luiz da Silva
ResumoEste ensaio reflexivo repercute um estudo de doutoramento que promoveu um debate em torno do Projeto Educacao Para Todos (EPT) no Brasil. Especialmente, os topicos intitulados: necessidades basicas de aprendizagem; atencao na aprendizagem e; ambiente adequado a aprendizagem. Ele, o debate, buscou conectar os ideais de uma Educacao Matematica Para Todos (EMPT) as determinacoes da Lei 10.639/03, analisando processos e modos de apredizagem-ensino culturais aflorados na Etnomatematica, em confluencia com a Psicologia Cognitiva e Social. Fundamentando-se, para tanto, no conceito de inclusao perversa, em referencias sobre aprendizagem socio-historica e sobre a africanidade brasileira, descrita por Munanga e Silva. Buscando, atender especificidades da populacao brasileira, nao destacadas na educacao escolar.AbstractThis reflective essay reports on a doctoral study that contributes to the debate about the Project Education for All (EPT) in Brazil. Especially for the topics entitled—basic learning needs, attention to learning, and suitable environment for learning—the debate sought to connect the ideals of a Mathematics Education for All (EMPT) the provisions of Law 10.639/03, analyzing processes and modes of teaching-learning cultural programs touched upon in Ethnomathematics, the confluence of Cognitive and Social Psychology. This report is based on the concept of perverse inclusion in references to socio-historical learning and Brazilian Africanity described by Munanga and Silva and seeks to attend to specifics of the Brazilian population, not highlighted in school education.
这篇反思性的文章反映了一项博士研究,该研究在巴西引发了一场关于全民教育(efa)项目的辩论。特别是题为“基本学习需要”的专题;注意学习和;适当的学习环境。这场辩论试图将全民数学教育的理想与10.639/03号法律的决定联系起来,分析民族数学中出现的文化学习和教学的过程和模式,并与认知和社会心理学相融合。因此,基于反常包容的概念,在社会历史学习和巴西非洲性的参考文献中,由Munanga e Silva描述。寻求满足巴西人口的特殊性,而不是在学校教育中突出。这篇关于一项博士研究的发人深省的论文报告有助于关于巴西全民教育项目的辩论。他们的登录名为—基本学习需要,重视学习,学习—辩论sought and suitable环境为所有连接的理想数学教育(EMPT) 10639/03的法律规定,分析过程和文化学习模式的教学程序看上去在Ethnomathematics,认知和社会心理学的融合。本报告的依据是Munanga和Silva所描述的社会历史学习和巴西非洲性的反常包容概念,并试图等待巴西人民的具体特点,而这些特点在学校教育中没有得到强调。
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引用次数: 0
(Re)claiming an activist identity as criticalmathematics educators: addressing anti-black racism because #BlackLivesMatter (重新)以批判性数学教育者的积极分子身份:解决反黑人种族主义问题,因为#黑人的生命也很重要
Pub Date : 2016-10-25 DOI: 10.22267/RELATEM.1693.15
P. Price, Roxanne Moore
Abstract In the 8th annual meeting of the International Mathematics Education and Society (MES-8), Martin (2015) asked the critical question, “where does critical mathematics education stand, and demonstrate unequivocal action, against anti-black racism, racial terror, and global white supremacy?” This question marked a call to action for criticalmathematics educators to think not only about the liberatory and emancipatory possibilities of mathematics education, but to specifically address race and racism more explicitly as a field. Using Powell’s (2012) “futuristic definition” of a criticalmathematics educator as mathematician, educator, and activist, the authors argue that while criticalmathematics educators have successfully pushed educators to consider improved pedagogical strategies for greater equity, more social action is needed to fight racism. The authors advocate for greater attention to Martin’s call to action and the need for criticalmathematics educators to actively and explicitly engage in more unequivocal action against global white supremacy and anti-black racism.  Resumen Durante el 8vo Encuentro Internacional Matematicas Educacion y Sociedad (MES-8), Martin (2015) planteo una cuestion fundamental, “?En donde se posiciona la educacion matematica critica y demuestra accion inequivoca contra el racismo anti-negro, el terror racial y la supremacia blanca global? Esta pregunta marca un llamado a la accion para los educadores matematicos criticos a pensar no solamente en las posibilidades liberadoras y emancipadoras de la educacion matematica, sino de abordar de manera mas explicita y especificamente la raza y el racismo. Usando la “definicion futurista” de Powell (2012) de educador matematico critico como matematico, educador y activista, las autoras plantean que aunque los educadores matematicos criticos han conducido exitosamente a que los educadores consideren mejores estrategias pedagogicas para alcanzar una mayor equidad, es necesaria mas accion social para luchar contra el racismo. Las autoras abogan por una mayor atencion al llamado a la accion que hizo Martin y a la necesidad de que los educadores matematicos criticos se involucren activa y explicitamente en mas acciones inequivocas en contra de la supremacia blanca global y el racismo anti-negro
在第八届国际数学教育与学会(MES-8)年会上,Martin(2015)提出了一个关键问题,“批判数学教育在哪里,在反对反黑人种族主义、种族恐怖和全球白人至上主义方面表现出明确的行动?”这个问题标志着对批判性数学教育者的行动呼吁,他们不仅要思考数学教育的解放和解放的可能性,而且要更明确地将种族和种族主义作为一个领域来具体解决。使用Powell(2012)的“未来主义定义”,将批判性数学教育者定义为数学家、教育家和活动家,作者认为,尽管批判性数学教育者成功地推动了教育者考虑改进教学策略以实现更大的公平,但需要更多的社会行动来打击种族主义。作者主张更多地关注马丁的行动呼吁,并呼吁批判性数学教育者积极明确地参与更明确的行动,反对全球白人至上主义和反黑人种族主义。《国际数学教育与社会(MES-8)》,马立民(2015),《数学理论与实践》,“?”那么,我们的立场,教育,数学,批判,示威,行动,明确反对,种族主义,反黑人,恐怖,种族主义,至上主义,全球?从数学教育的角度来说,这是一种自由的可能性,从数学教育的角度来说,这是一种自由的可能性,从数学教育的角度来说,这是一种自由的可能性,从种族主义的角度来说,这是一种自由的可能性。Usando腊”definicion futurista”·德·鲍威尔(2012)de educador matematico critico科莫matematico, educador y activista las autoras plantean, aunque洛杉矶educadores matematicos criticos汉conducido exitosamente一是洛杉矶educadores consideren ?降低pedagogicas对位alcanzar una equidad市长,es necesaria mas accion社会对位luchar反歧视。拉斯维加斯autoras abogan为什么una市长atencion al llamado la accion, hizo la necesidad马丁y de,洛杉矶educadores matematicos criticos se involucren activa y explicitamente en mas accion inequivocas en魂斗罗de la supremacia布兰卡全球el racismo anti-negro y
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引用次数: 4
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Revista Latinoamericana de Etnomatematica
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