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UNDERSTANDING SAMPLING BY CHILEAN SECONDARY SCHOOL STUDENTS 了解智利中学生抽样
Q3 Social Sciences Pub Date : 2021-12-25 DOI: 10.52041/serj.v20i2.383
Karen Ruiz Reyes, José Miguel Contreras García
In statistical inference, importance of sampling is recognized as one of its key concepts, which has allowed its incorporation internationally in different curricular guidelines and specifically in the Chilean curriculum, since the first notions of sampling are introduced in 7th Grade. This paper presents an analysis of the responses to an open-ended written questionnaire, designed to evaluate understanding of sampling, that was applied to a sample of 1,241 Chilean secondary students of 8th, 10th and 12th Grades in six different secondary schools. A mixed methodology was used, with qualitative description of responses and a quantitative analysis of their frequencies. The results reflect outstanding difficulties in the use of elements related to sampling and its properties in different problem situations. For example, students can distinguish the concept of sample in contexts close to their experiences; but when faced with different sampling methods, they are not able to identify biases associated to sample selection. Thus, when deciding if a sample is representative, they mostly identify cases in which the given sample is not.Abstract: SpanishEn inferencia estadística se reconoce la importancia del muestreo como uno de sus conceptos clave, lo que ha permitido su incorporación a nivel internacional en diferentes lineamientos curriculares y específicamente en el currículo chileno, dado que las primeras nociones de muestreo se introducen en el séptimo año de educación primaria. En este trabajo se presenta el análisis de las respuestas a un cuestionario de respuesta abierta, diseñado para evaluar la comprensión del muestreo, que fue aplicado a una muestra de 1241 estudiantes de secundaria chilenos, de octavo año de primaria, segundo año de secundaria y cuarto año de secundaria, en seis centros educativos. Se empleó una metodología mixta, con una descripción cualitativa de las respuestas y un análisis cuantitativo de sus frecuencias. Los resultados reflejan dificultades destacables en la utilización de los elementos relacionados al muestreo y sus propiedades en las diferentes situaciones problema planteadas. Por ejemplo, los estudiantes distinguen el concepto de muestra en contextos cercanos a sus experiencias; pero cuando se enfrentan a diferentes métodos de muestreo, no son capaces de identificar los sesgos asociados a la selección de muestras. Así, al momento de decidir si una muestra es representativa, identifican sobre todo los casos en que la muestra dada no lo es.
在统计推断中,抽样的重要性被认为是其关键概念之一,这使得它能够在国际上纳入不同的课程指南,特别是在智利课程中,因为第一个抽样概念是在七年级引入的。本文对一份旨在评估对抽样理解的开放式书面问卷的答复进行了分析,该问卷适用于六所不同中学1241名8年级、10年级和12年级的智利中学生。使用了一种混合方法,对反应进行了定性描述,并对其频率进行了定量分析。结果反映了在不同问题情况下使用与取样及其特性有关的元素的突出困难。例如,学生可以在接近他们经验的背景下区分样本的概念;但当面对不同的采样方法时,它们无法识别与样本选择相关的偏差。因此,当决定样本是否具有代表性时,他们大多会确定给定样本不具有代表性的情况。摘要:西班牙统计推断承认抽样的重要性是其关键概念之一,这使得抽样能够在国际上纳入不同的课程大纲,特别是智利的课程,因为抽样的第一个概念是在小学七年级引入的。本文对一份旨在评估对抽样理解的开放式问卷的答复进行了分析,该问卷适用于六所教育机构的1241名智利中学生,分别是小学八年级、中学二年级和中学四年级。采用了一种混合方法,对反应进行了定性描述,并对其频率进行了定量分析。结果表明,在提出的不同问题情况下,在使用与取样有关的元素及其特性方面存在明显困难。例如,学生在与他们的经历密切相关的背景下区分样本的概念;但当面对不同的抽样方法时,他们无法识别与样本选择相关的偏见。因此,在决定样本是否具有代表性时,他们首先确定给定样本不具有代表性的情况。
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引用次数: 0
THE CONCEPT OF CHANCE IN EARLY CHILDHOOD EDUCATION: AN ANALYSIS FROM THE PERSPECTIVE OF THE REGISTER OF SEMIOTIC REPRESENTATIONS 幼儿教育中的机会概念&基于符号表征语域的分析
Q3 Social Sciences Pub Date : 2021-12-25 DOI: 10.52041/serj.v20i2.318
V. Kataoka, Aida Carvalho Vita, C. Da Silva
This article aims to investigate the teaching of chance in the context of tactile models (TM) from the perspective of the Theory of Register of Semiotic Representations. In this qualitative research, we sought to identify the different types of semiotic registers and transformations (treatment and conversion), in the solutions of the tasks of the Jefferson’s Random Walks Teaching Sequence of children in early childhood education (aged 5 years). We found the presence of different registers, most frequently mother tongue and figurative language, and of conversions. Finally, the TM proved versatile, particularly in addressing the concept of chance, for the mobilization of different semiotic registers and transformations, which can encourage teachers to use this material to work concepts in the school context.Abstract: PortugueseNeste artigo tem-se como objetivo investigar o ensino de Probabilidade no contexto da maquete tátil (MT) sob a ótica da teoria de Registro de Representações Semióticas. Nesta pesquisa de cunho qualitativo, buscou-se identificar os diferentes tipos de registros semióticos e de transformações (tratamento e conversão), nas soluções das tarefas da Sequência de Ensino Passeios Aleatórios do Jefferson de crianças da educação infantil (5 anos). Verificou-se a presença dos diferentes registros, mais frequentemente a lingua materna e figural, e das conversões. Por fim, a MT mostrou-se versátil, em particular na abordagem do conceito de chance, para a mobilização de diferentes registros semióticos e de transformações, o que pode estimular os professores no uso desse material para trabalhar conceitos probabilísticos no âmnbito escolar.
本文旨在从符号表征语域理论的角度探讨触觉模式下的机会教学。在这项定性研究中,我们试图确定不同类型的符号语域和转换(处理和转换),以解决儿童早期教育(5岁)中杰斐逊随机行走教学序列的任务。我们发现了不同语域的存在,通常是母语和比喻语言,以及转换。最后,TM被证明是通用的,特别是在处理机会概念方面,可以调动不同的符号学语域和转换,这可以鼓励教师在学校环境中使用这些材料来研究概念。本文旨在从符号表征注册理论的角度,探讨触觉模型下的概率论教学。在这项定性研究中,我们试图确定不同类型的符号记录和转换(处理和转换),以解决儿童早期教育(5年)的杰斐逊随机行走教学序列的任务。我们验证了不同记录的存在,最常见的是母语和图形语言,以及转换。最后,TM被证明是通用的,特别是在机会概念的方法上,可以调动不同的符号记录和转换,这可以激励教师在学校环境中使用这种材料来研究概率概念。
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引用次数: 0
TEACHERS’ CONCEPTIONS AND PROFESSIONAL KNOWLEDGE OF VARIABILITY FROM THEIR INTERPRETATION OF HISTOGRAMS: THE CASE OF VENEZUELAN IN-SERVICE SECONDARY MATHEMATICS TEACHERS 从教师对直方图的解读看教师对变异性的概念和专业知识&以委内瑞拉在职中学数学教师为例
Q3 Social Sciences Pub Date : 2021-12-25 DOI: 10.52041/serj.v20i2.412
O. González
Many studies have reported on the influence of teachers’ conceptions of variability on different aspects of their professional knowledge for teaching statistics and their classroom practices. However, research on these kind of conceptions is still scarce, particularly in Latin American countries like Venezuela. In an effort to help fill this gap, a qualitative study was conducted that aimed to characterize the different ways in which Venezuelan in-service secondary school mathematics teachers conceptualize variability. For that purpose, a survey instrument was developed and administered to 27 teachers working at the metropolitan area of Caracas. This paper focuses on the participants’ answers to two items in which interpretation of histograms was necessary. It was found that about a third of the participants exhibited a sophisticated recognition of variability (e.g., gave answers connecting both middles and extremes), whereas about half of them exhibited misconceptions of variability, such as acknowledging variability from the viewpoint of idiosyncratic ideas, or the degree of symmetry (or lack thereof) of a histogram. Moreover, it was also found that about two-thirds of the participants were unable to correctly match real-life contexts to their corresponding histograms, while about two-fifths were unable to correctly determine the accuracy or inaccuracy of descriptions of the variability in a histogram. The author discusses possible reasons for the obtained results, in order to identify relevant implictions for teacher education in the area of statistics.Abstract: SpanishDiversos estudios han reportado que las concepciones de los docentes sobre variabilidad influencian tanto su conocimiento profesional para la enseñanza de la estadística, como sus prácticas en el aula. Sin embargo, investigaciones sobre este tipo de concepciones son aún escasas, particularmente en países latinoamericanos como Venezuela. Intentando satisfacer esta necesidad, se condujo un estudio cualitativo para identificar y caracterizar las diferentes maneras en que maestros venezolanos de matemáticas a nivel de secundaria conceptualizan la variabilidad. Con tal propósito, un cuestionario fue desarrollado y administrado a 27 docentes en el área metropolitana de Caracas. Este artículo se centra en las respuestas dadas por los participantes a dos ítems del cuestionario, en los que era necesaria la interpretación de histogramas. Se descubrió que aproximadamente un quinto de los participantes demostró un reconocimiento sofisticado de la variabilidad (e.g., considerar simultáneamente valores centrales y extremos de un histograma), mientras que alreadedor de la mitad exhibió concepciones erróneas, tales como el reconocimiento de la variabilidad a partir de ideas idiosincrásicas, o del grado de simetría de un histograma. Además, unos cuatro quintos de los participantes fueron incapaces de establecer una correspondencia entre contextos de la vida real y sus respectivos histogramas,
许多研究报告了教师的变异性概念对其教学统计专业知识及其课堂实践各个方面的影响。然而,对这些类型概念的研究仍然很少,特别是在委内瑞拉等拉丁美洲国家。为了帮助填补这一差距,进行了一项定性研究,旨在描述委内瑞拉在职中学数学教师对变异性概念化的不同方式。为此,为在加拉加斯大都会地区工作的27名教师开发并管理了一项调查工具。这篇论文的重点是参与者对需要解释直方图的两个项目的回答。发现约有三分之一的参与者对变异性表现出复杂的认识(例如,给出了连接中间和极端的答案),而其中约有一半的参与者对变异性表现出误解,例如从特质观念的角度承认变异性,或直方图的对称度(或缺乏对称度)。此外,还发现约三分之二的参与者无法正确地将真实的生活背景与其相应的直方图匹配,而约五分之二的参与者无法正确确定直方图中对变异性描述的准确性或不准确性。作者讨论了获得结果的可能原因,以确定统计领域教师教育的相关含义。摘要:西班牙的研究表明,教师对可变性的概念既影响了他们在统计教学中的专业知识,也影响了他们在课堂上的实践。然而,对这类概念的研究仍然很少,特别是在委内瑞拉等拉丁美洲国家。为了满足这一需要,进行了一项定性研究,以确定和描述委内瑞拉中学数学教师对可变性概念化的不同方式。为此,对加拉加斯大都市区的27名教师进行了问卷调查。这篇文章的重点是参与者对问卷中两个项目的答复,其中需要解释直方图。研究发现,大约五分之一的参与者表现出对可变性的复杂识别(例如,同时考虑直方图的中心值和极端值),而一半的参与者已经表现出错误的概念,例如根据特殊想法识别可变性,或直方图的对称程度。此外,约五分之四的参与者无法在现实生活背景与其各自的直方图之间建立对应关系,而约五分之二的参与者无法确定直方图中对可变性的描述是否正确。作者讨论了取得结果的可能原因,以确定与统计领域教师培训有关的含义。
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引用次数: 0
OVERVIEW OF BRAZILIAN RESEARCH ON STATISTICS EDUCATION INVOLVING TEACHERS: METHODOLOGICAL PATHS AND TRAINING CONTEXTS 巴西教师参与统计教育研究综述:方法论路径与培训背景
Q3 Social Sciences Pub Date : 2021-12-25 DOI: 10.52041/serj.v20i2.414
Douglas da Silva Tinti, Celi Espasandin Lopes
This article aims to analyze Brazilian research on statistics education involving teachers to highlight methodological trends and training contexts mobilized by such research. To this end, a survey was carried out in the Dissertation and Thesis Bank of CAPES, considering the descriptor "Statistical Education” and the 2013-2018 timeframe. A total of ninety-nine studies were found, twenty of which met the proposed objective. This is a documentary and bibliographic study, in which an interpretative approach was adopted using the technique of content analysis. The data analysis verified that nine of those studies did not lead to training processes with teachers. In addition, the analysis of the other eleven studies, which led to training, revealed an intrinsic relationship between the methodological path and the training contexts reported. This demonstrated the expressiveness of training contexts based on epistemology of collaboration, that is, those contexts that both give voice and listen to teachers, and recognize them as producers of knowledge. Conversely, we identified two research studies that shaped the training considering the paradigm of technical rationality, and designed training courses to address certain content/concepts that teachers supposedly do not master. It was evidenced that the conception of teacher training has a direct and explicit relationship with the organization of the training spaces outlined. Finally, we identified one research study based on epistemology of practice, which focuses on the understanding of knowledge mobilized in teaching practice.Abstract: PortugueseO presente artigo tem por objetivo analisar pesquisas brasileiras de Educação Estatística que envolveram professores, com vistas a evidenciar tendências metodológicas e de contextos formativos mobilizados por tais estudos. Para tanto, realizou-se um mapeamento no Banco de Dissertações e Teses da CAPES, considerando o descritor “Educação Estatística” e o período de 2013 a 2018. Foram identificadas 99 pesquisas, dentre as quais 20 dialogam com o objetivo proposto. Trata-se de um estudo documental e bibliográfico, no qual se adotou uma abordagem interpretativa que tem como técnica a análise de conteúdo. A análise dos dados permitiu identificar que nove destes estudos não desencadearam processos formativos com os docentes. Além disso, a análise das demais 11 pesquisas, que desenvolveram processos formativos, revelou uma intrínseca relação entre o percurso metodológico e os contextos formativos relatados. Nesse sentido, evidenciou-se uma expressividade de contextos formativos pautados na epistemologia da colaboração, ou seja, aqueles que dão voz aos professores e se colocam à sua escuta; que os reconhecem como produtores de conhecimento. Em contrapartida, duas pesquisas estruturaram as formações, considerando o paradigma da racionalidade técnica e concebendo cursos de capacitação para abordar determinado conteúdo/conceito que o professor supostamente não domina. C
本文旨在分析巴西对教师参与的统计教育的研究,以突出这类研究的方法论趋势和培训背景。为此在CAPES的论文库进行了调查,考虑描述符“统计教育”和2013-2018年的时间框架。共发现99项研究,其中20项符合拟议目标。这是一项文献和书目研究,其中采用了内容分析技术的解释方法。数据分析证实,其中9项研究没有导致教师的培训过程。对其他11项导致训练的研究的分析揭示了方法论路径和所报道的训练环境之间的内在关系。这证明了基于协作认识论的训练情境的表现力,即那些既能发出声音又能倾听老师的情境,并将他们视为知识的生产者。相反,我们确定了两项研究,它们考虑到技术理性的范式来塑造培训,并设计培训课程来解决教师可能不掌握的某些内容/概念。事实证明,教师培训的概念与所概述的培训空间的组织有着直接而明确的关系。最后,我们确定了一项基于实践认识论的研究,该研究侧重于对教学实践中调动的知识的理解。本文旨在分析巴西涉及教师的统计教育研究,以突出这些研究所调动的方法论趋势和教育背景。为此,考虑到“统计教育”的描述和2013年至2018年期间,在CAPES的论文和论文库中进行了映射。确定了99项研究,其中20项与拟议目标进行了对话。这是一项文献和书目研究,采用了一种解释方法,作为技术内容分析。数据分析使我们能够确定,其中9项研究没有触发教师的培训过程。此外,对开发培训过程的其他11项研究的分析揭示了方法论路径与所报告的培训背景之间的内在关系。从这个意义上说,它证明了基于合作认识论的形成性语境的表现力,即那些为教师发声并让自己倾听他们的人;他们承认他们是知识的生产者。相比之下,两项研究构建了这些形式,考虑了技术理性的范式,并设计了培训课程来解决教师可能不掌握的某些内容/概念。研究发现,教师培训的概念与所概述的培训空间的组织有着直接而明确的关系。最后,我们确定了一个基于实践认识论的研究,它转向对教学中调动的知识的理解。
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引用次数: 0
WHAT STUDENTS IN THE FIRST GRADES OF ELEMENTARY SCHOOL KNOW ABOUT TABLES 小学一年级的学生对桌子的了解
Q3 Social Sciences Pub Date : 2021-12-25 DOI: 10.52041/serj.v20i2.358
G. Guimarães, Betânia Evangelista, Izabella Oliveira
The definition of table has not been introduced in Brazilian textbooks for the early years of elementary school. We see that charts and databases have been named tables but are not approached in the same way. This makes it impossible for students to differentiate between them, which may cause learning difficulties. Therefore, it is essential that we reflect on students' knowledge about table, which is an instrument that systematizes information so that they can visualize reality. Thus, the aim of this study was to analyze the knowledge students from the 1st to 5th grade of elementary school have about representations in tables. To this end, 325 students (6 to 10 years old from 19 classes from different public schools in Greater Recife) participated. Students were asked to answer six activities individually, four of interpretation of a single and a double entry table with qualitative and quantitative variables, and two activities involving the construction of a table from a database or set of figures that needed to be classified. The results show that students’ performance progress in all activities, and that they present better performance in table interpretation than in table construction. Since the 1st grade the students were able to construct tables with one variable, however, to construct a table with two variables showed to be very difficult even for the 5th graders. In all grades the students had difficulties to make decisions based on the data presented, what is the function of table representation. This may be due to the absence of teaching practices focused on the table as a learning object.Abstract: PortugueseA definição de tabela não foi introduzida nos livros didáticos brasileiros dos anos iniciais do Ensino Fundamental. Observamos que quadros e bancos de dados vêm sendo nomeados de tabelas e não são abordados da mesma maneira. Isso causa uma indiferenciação entre os mesmos e dificulta a aprendizagem. Então, é fundamental refletir sobre os conhecimentos dos alunos sobre tabelas, uma vez que essas têm a função de sistematizar informações para que se possa ter uma visão da realidade. Assim, o objetivo desse estudo foi analisar o conhecimento de alunos do 1º ao 5º ano do Ensino Fundamental sobre representações em tabelas.  Para tal, participaram 325 alunos (6 a 10 anos de idade de 19 turmas de diferentes escolas públicas do Grande Recife). Foi solicitado aos alunos que individualmente respondessem seis atividades, quatro de interpretação de tabelas simples e de dupla entrada, com variáveis qualitativas e quantitativas e duas atividades envolvendo construção de tabelas, a partir de um banco de dados ou de um conjunto de figuras que precisavam ser classificadas. Os resultados mostram que o desempenho dos alunos evolui em todas as atividades, e que eles apresentam melhor desempenho na interpretação de tabelas do que na construção de tabelas. De o 1º ano os alunos conseguiram construir tabelas com uma variável, porém, construir uma tabela
巴西小学早期的教科书中没有引入表格的定义。我们看到,图表和数据库被命名为表,但没有以相同的方式处理。这使得学生无法区分他们,这可能会导致学习困难。因此,我们必须反思学生对表格的认识,表格是一种将信息系统化的工具,使他们能够直观地看到现实。因此,本研究的目的是分析小学一至五年级学生对表中表征的知识。为此,325名学生(6至10岁,来自大累西腓不同公立学校的19个班)参加了活动。学生们被要求单独回答六个活动,四个是对带有定性和定量变量的单条目表和双条目表的解释,还有两个活动涉及从数据库或需要分类的一组数据中构建一个表。结果表明,学生在所有活动中的表现都有所进步,他们在解释表格方面的表现优于构建表格。从一年级开始,学生们就能够用一个变量构建表格,然而,即使对五年级学生来说,用两个变量构建一个表格也非常困难。在所有年级,学生都很难根据所提供的数据做出决定,表格表示的功能是什么。这可能是由于缺乏以餐桌为学习对象的教学实践。巴西小学早期的教科书中没有引入表格的定义。我们观察到,表和数据库是根据表命名的,并没有以相同的方式进行处理。这会造成他们之间的冷漠,阻碍学习。因此,反思学生对表格的了解是至关重要的,因为表格具有系统化信息的功能,这样人们才能看到现实。因此,本研究的目的是分析小学一至五年级学生对表格表征的知识。为此,325名学生(6至10岁,来自大累西腓不同公立学校的19个班)参加了此次活动。学生们被要求单独回答六个活动,其中四个是简单表和双条目表的解释,包括定性和定量变量,还有两个活动涉及从数据库或一组需要分类的数字中构建表格。研究结果表明,学生的表现在所有活动中都会发生变化,他们在解释表格方面的表现要好于构建表格。从一年级开始,学生们就能够用一个变量构建表格,然而,即使对五年级的学生来说,用两个变量构建一个表格也非常困难。在所有年份中,学生们都很难根据所提供的数据做出决定,也很难理解表中表示的功能。这种困难可能是由于缺乏以餐桌为学习对象的教学实践。
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引用次数: 2
DISCUSSION CIRCLE FOR THE TEACHING-LEARNING OF STATISTICS 统计学教与学讨论圈
Q3 Social Sciences Pub Date : 2021-12-25 DOI: 10.52041/serj.v20i2.355
M. N. Magalhães, M.C.C. Magalhaes
Conceptual appropriation is central to the teaching-learning and development processes. The intellectual stage is expressed by writing, verbalization and the use of the object under construction, among other means of expression. This paper discusses the conceptual appropriation by means of the creation of collaborative situations in which the argumentative language mediates the construction of knowledge. Supported by Vygotsky’s cultural-historical theory, Discussion Circle is an activity that consists of presenting some conceptual questions for the class to discuss in small groups initially, and then in a larger group, as a general meeting. Hence, we present the central ideas and theoretical support for the development of this activity and comment on a practice that took place during a course of Basic Statistics, part of the Teaching Program in Mathematics. Results indicate the conceptual development of students, which allows for the improvement of elementary school mathematics’ teacher education in terms of statistics studies, which is a strategic matter of importance for the broadening of society’s knowledge about this area.Abstract: PortugueseNo processo de ensino-aprendizagem e desenvolvimento, a apropriação conceitual é central. O estágio intelectual se expressa, entre outras formas, pela escrita, verbalização e uso do objeto em construção. Este artigo discute a apropriação conceitual por meio da criação de situações colaborativas em que a linguagem da argumentação medeia a construção do conhecimento. A atividade Roda de Conversa, apoiada na teoria Histórico-Cultural de Vygotsky, consiste em propor algumas questões conceituais para a classe discutir, inicialmente em pequenos grupos e, a seguir, em uma reunião geral. Apresentamos as ideias centrais e os suportes teóricos para o desenvolvimento dessa atividade e comentamos sobre uma realização prática ocorrida em uma disciplina de Estatística Básica do curso de Licenciatura em Matemática. Os resultados encontrados indicam o desenvolvimento conceitual dos estudantes, colaborando com a melhoria da formação estatística do professor de Matemática da Educação Básica, questão estratégica na ampliação do conhecimento da sociedade sobre a área.
概念挪用是教学和发展过程的核心。智力阶段是通过写作、语言化和使用建构中的客体等表达方式来表达的。本文通过创造合作情境来讨论概念挪用,在这种情境中,论证语言介导了知识的建构。在维果茨基的文化历史理论的支持下,讨论圈是一种活动,它包括提出一些概念性问题,让全班先以小组形式讨论,然后以更大的小组形式作为全体会议。因此,我们提出了这一活动发展的中心思想和理论支持,并评论了在基础统计学课程中发生的一次实践,这是数学教学计划的一部分。结果表明,学生的概念发展,这使得小学数学教师的教育在统计学研究方面得到改善,这对扩大社会对这一领域的知识具有重要的战略意义。摘要:葡萄牙语processo de enchinese -aprendizagem e desenvolvimento,是一种恰当的概念概念中心。0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0埃斯特artigo discute一apropriacao conceitual为什么meio da criacao de situacoes colaborativas em是一个linguagem da argumentacao medeia construcao做conhecimento。A atividade Roda de Conversa, apoiada na teoria Histórico-Cultural de Vygotsky,包括三个适当的算法questões conceituais para A class discutir,非正式的pequenos groupos e,一个seguir,一个umumreunix o general。目前,作为思想中心,我们支持teóricos para o desenvelimento desenvelimento和desenvelimento,并对desenvelimento和desenvelimento和desenvelimento进行评论。因此,我们的结果是,我们的研究对象是学生,我们的研究对象是教师,我们的研究对象是教师,我们的研究对象是教师,我们的研究对象是教师,我们的研究对象是教师,我们的研究对象是教师,我们的研究对象是教师,我们的研究对象是教师。
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引用次数: 0
DEVELOPING “RECOGNITION OF NEED FOR DATA” IN SECONDARY SCHOOL TEACHERS 在中学教师中培养“对数据需求的认识”
Q3 Social Sciences Pub Date : 2021-12-25 DOI: 10.52041/serj.v20i2.310
Emilse Gómez-Torres
This paper describes the evolution of “recognition of need for data” and “strategical thinking”, two types of thinking identified by Wild and Pfannkuch in their Framework for Statistical Thinking in Empirical Enquiry, as well as its relevance for math teacher professional development. The research was carried out with ten in-service secondary-school math teachers during an educational experience (at Bogotá, Colombia), who, in the beginning, showed high performance in procedural knowledge of data analysis. The experience was founded on project based learning that participants proposed and conducted via a survey concerning implications of a Bill, relevant for their job context. These teachers made mistakes and showed difficulties during the two first stages of the investigative cycle, problem formulation, and research planning,  due possibly to their inexperience in designing an empirical inquiry. Teacher educator’s guidance, to turn mistakes into learning opportunities and teachers’ active participation, promoted the development of statistical thinking, especially linked to the types aforementioned.Abstract: SpanishEste artículo describe el desarrollo de “reconocimiento de la necesidad de los datos” y “pensamiento estratégico”, dos de modos de razonamiento identificados por Wild y Pfannkuch (1999) en su marco para pensamiento estadístico en investigación empírica, así como su importancia en la formación de profesores de matemáticas. La investigación se lleva a cabo con diez profesores de matemáticas en ejercicio, durante una experiencia de formación (Bogotá, Colombia), quienes al inicio del curso mostraron un buen nivel de conocimiento procedimental en análisis de datos. En el marco del Aprendizaje Basado en Proyectos, los profesores propusieron y desarrollaron una encuesta relacionada con las implicaciones de la implementación de un proyecto de ley, relevante para ellos. Los profesores cometieron errores y mostraron dificultades durante las dos primeras partes del ciclo investigativo, formulación del problema y planeación de la investigación, debido a su falta de experiencia en la formulación de un estudio empírico. La orientación del formador, para convertir las debilidades en oportunidades de aprendizaje, y la participación activa de los profesores favorecieron el desarrollo de razonamiento estadístico, especialmente asociado a los dos tipos de razonamientos ya mencionados.
本文描述了Wild和Pfannkuch在其实证研究统计思维框架中确定的两种思维方式“承认数据需求”和“战略思维”的演变,以及它们与数学教师专业发展的关系。这项研究是在一次教育经历(哥伦比亚波哥大)期间与10名在职中学数学教师进行的,他们最初在数据分析的程序知识方面表现出色。这一经验是基于基于项目的学习,参与者通过对与他们的工作背景有关的法案的影响的调查提出并进行的。这些教师在研究周期、问题制定和研究规划的前两个阶段犯了错误,并表现出困难,这可能是因为他们在设计实证调查方面缺乏经验。教师教育者的指导,将错误转化为学习机会和教师的积极参与,促进了统计思维的发展,特别是与上述类型有关。摘要:西班牙文章描述了Wild和Pfannkuch(1999)在其实证研究统计思维框架中确定的两种推理模式“对数据需求的认识”和“战略思维”的发展,以及它们在数学教师培训中的重要性。这项研究是在一次培训经历(哥伦比亚波哥大)期间对10名在职数学教师进行的,他们在课程开始时表现出良好的数据分析程序知识。在基于项目的学习框架内,教师们提出并开展了一项调查,调查与他们有关的法案实施的影响。由于缺乏制定实证研究的经验,教师在研究周期的前两个部分,即问题的制定和研究的规划中犯了错误并表现出困难。培训师的指导,将弱点转化为学习机会,以及教师的积极参与,有利于统计推理的发展,特别是与上述两种推理有关的推理。
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引用次数: 0
ALICE IN RANDOMLAND: A RESOURCE FOR IMPROVING ATTITUDES TOWARDS PROBABILITY AND ITS TEACHING 《爱丽丝梦游仙境》:提高概率态度的资源及其教学
Q3 Social Sciences Pub Date : 2021-12-25 DOI: 10.52041/serj.v20i2.410
Flavio FLAVIO GUIÑEZ, Claudia Vásquez, Camila C Brito, Salomé Martínez
This article presents the results of a study aimed at examining how primary school teachers’ attitudes towards probability and its teaching are influenced by their use of an interactive story focused on sparking interest in probability and providing opportunities for learning this mathematical topic. A scale of attitudes towards probability and its teaching was applied to 40 prospective primary school teachers, before and after reading the book. This instrument was implemented with two focus groups. Preliminary results revealed significant changes in pre-service teachers’ attitudes, particularly in their feelings towards probability. This evidence attested to the potential of the book, especially considering that the participants had only studied the basics of this topic in previous courses.Abstract: SpanishEn este artículo se presentan los resultados de un estudio que busca indagar sobre cómo las actitudes hacia la probabilidad y su enseñanza de futuros profesores de Educación Básica, se ven influenciadas al interactuar con un cuento interactivo que busca estimular el interés y a la vez brindar oportunidades para el aprendizaje de las probabilidades. Para el estudio se aplicó una escala de actitudes hacia la probabilidad y su enseñanza a 40 futuros profesores de Educación Básica, antes y después de la lectura del libro, lo que fue complementado con dos grupos focales. Los resultados preliminares muestran cambios significativos en sus actitudes, particularmente en el componente afectivo hacia la probabilidad. Esta evidencia muestra el potencial que tiene la lectura del libro, más aún considerando que los estudiantes solo han estudiado, en cursos anteriores, nociones básicas de probabilidades.  En este artículo se presentan los resultados de un estudio que busca indagar sobre cómo las actitudes hacia la probabilidad y su enseñanza de futuros profesores de Educación Básica, se ven influenciadas al interactuar con un cuento interactivo que busca estimular el interés y a la vez brindar oportunidades para el aprendizaje de las probabilidades. Para el estudio se aplicó una escala de actitudes hacia la probabilidad y su enseñanza a 40 futuros profesores de Educación Básica, antes y después de la lectura del libro, lo que fue complementado con dos grupos focales. Los resultados preliminares muestran cambios significativos en sus actitudes, particularmente en el componente afectivo hacia la probabilidad. Esta evidencia muestra el potencial que tiene la lectura del libro, más aún considerando que los estudiantes solo han estudiado, en cursos anteriores, nociones básicas de probabilidades.  
本文介绍了一项研究的结果,该研究旨在检查小学教师对概率的态度及其教学如何受到他们使用一个互动故事的影响,该故事的重点是激发对概率的兴趣,并为学习这一数学主题提供机会。在阅读这本书之前和之后,对概率及其教学的态度量表适用于40名前瞻性小学教师。该文书由两个重点小组执行。初步结果显示,职前教师的态度,特别是对概率的看法发生了重大变化。这一证据证明了这本书的潜力,特别是考虑到参与者在以前的课程中只研究了这一主题的基础。摘要:这篇文章介绍了一项研究的结果,该研究旨在探讨未来基础教育教师对概率的态度及其教学如何受到互动故事的影响,该故事旨在激发兴趣,同时为学习概率提供机会。该研究对40名未来的基础教育教师在阅读该书前后进行了概率态度及其教学量表的应用,并辅之以两个焦点小组。初步结果表明,他们的态度发生了重大变化,特别是对概率的情感成分。这一证据表明了阅读这本书的潜力,特别是考虑到学生在以前的课程中只学习了概率的基本概念。本文介绍了一项研究的结果,该研究旨在探讨未来基础教育教师对概率的态度及其教学如何受到互动故事的影响,该故事旨在激发兴趣,同时为学习概率提供机会。该研究对40名未来的基础教育教师在阅读该书前后进行了概率态度及其教学量表的应用,并辅之以两个焦点小组。初步结果表明,他们的态度发生了重大变化,特别是对概率的情感成分。这一证据表明了阅读这本书的潜力,特别是考虑到学生在以前的课程中只学习了概率的基本概念。
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引用次数: 1
DEVELOPING DATA SENSE: MAKING INFERENCES FROM VARIABILITY IN TSUNAMIS AT PRIMARY SCHOOL 发展数据感:从小学海啸的可变性中推断
Q3 Social Sciences Pub Date : 2021-12-25 DOI: 10.52041/serj.v20i2.413
Soledad Estrella, Andrea Vergara, O. González
In order to study the manifestation of data sense and identify ways of thinking about variability in authentically realistic problems in a group of Chilean fifth-grade students, a lesson plan was designed and implemented, within the framework of statistical literacy and using the “lesson study” modality, in which students were urged to make inferences based on the analysis of data corresponding to the tsunami that struck the Chilean coast in 2010. This article focuses on the qualitative study of the data representations produced by two groups of students during the implementation of the lesson plan. The analysis of the behavior of the tsunami carried out by the students led them to work simultaneously with nominal qualitative, ordinal qualitative, discrete quantitative, and continuous quantitative variables; to create new variables; to construct representations of data (multiple bar graphs and frequency tables); and to make inferences based on the data. We conclude that the use of an authentic context and the construction of their own representations promoted data sense in students and facilitated the development of their statistical thinking, through which they were able to recognize, describe, and explain the variability of the phenomenon.Abstract: SpanishCon el propósito de estudiar la manifestación del sentido del dato e identificar las formas de razonar la variabilidad en problemas auténticamente realistas en un grupo de estudiantes chilenos de quinto grado de primaria, se diseñó e implementó un plan de clases, en el marco de alfabetización estadística y bajo la modalidad “lesson study”, en el que se instó a los estudiantes a hacer inferencias a partir del análisis de los datos correspondientes al tsunami que azotó la costa de Chile en 2010. Este artículo se centra en el estudio cualitativo de las representaciones de datos producidas por dos grupos de estudiantes durante la implementación del plan de clases. El análisis del comportamiento de los datos del tsunami realizado por los estudiantes los llevó a trabajar simultáneamente con variables cualitativas nominales, cualitativas ordinales, cuantitativas discretas y cuantitativas continuas; crear nuevas variables; elaborar representaciones de datos (gráfico de barras múltiples y tabla de frecuencias); y hacer inferencias basadas en los datos. Se concluye que el uso de un contexto auténtico y la construcción de representaciones propias, promovieron en los estudiantes el sentido del dato y facilitaron el desarrollo de su pensamiento estadístico, pudiendo reconocer, describir y explicar la variabilidad del fenómeno.
为了研究数据感的表现形式,并确定一组智利五年级学生在真正现实问题中对变异性的思考方式,在统计文献的框架内,利用“教训研究”模式,设计和实施了一项教学计划,敦促学生根据对2010年袭击智利海岸的海啸相关数据的分析进行推断。这篇文章的重点是对两组学生在实施教学计划期间产生的数据表示进行定性研究。学生对海啸行为的分析导致他们同时使用名义定性、顺序定性、离散定量和连续定量变量;创建新变量;构建数据表示(多条形图和频率表);并根据数据进行推断。我们的结论是,使用真实的背景和建立自己的代表性促进了学生的数据意识,促进了他们统计思维的发展,通过这些思维,他们能够识别、描述和解释这一现象的多样性。摘要:西班牙为了研究数据意义的表现形式,并确定推理一组智利五年级学生真实现实问题中变异性的方法,在统计素养框架内,在“课时研究”模式下设计并实施了一项教学计划,他敦促学生们根据对2010年袭击智利海岸的海啸数据的分析进行推断。本文的重点是对两组学生在实施教学计划期间产生的数据表示进行定性研究。学生对海啸数据行为的分析使他们同时使用名义定性变量、顺序定性变量、离散定量变量和连续定量变量;创建新变量;制作数据表示(多条形图和频率表);并根据数据进行推断。得出的结论是,使用真实的背景和构建自己的表征,促进了学生的数据意识,促进了他们统计思维的发展,能够识别、描述和解释现象的变异性。
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引用次数: 3
ATTITUDES RELATED TO STUDENTS’ PERFORMANCE IN STATISTICS IN UNIVERSITY PROGRAMS IN ARGENTINA 阿根廷大学学生对统计学成绩的态度
Q3 Social Sciences Pub Date : 2021-12-25 DOI: 10.52041/serj.v20i2.356
Nidia Nora Abbiati, Maria del Carmen Fabrizio, M. V. López, Adriana Pérez, María Cristina Plencovich, G. Cueto
Students from non-statistics degree programs often perceive statistics as a burden, underestimating its usefulness and encountering difficulties that cause them anxiety and stress, among others, which leads many of them to fail the course. Students’ attitudes can hinder their learning and development of useful skills associated with statistical thinking, which should be later applied outside the classroom. The aim of this study was to analyze students’ attitudes towards statistics in introductory courses in three schools of Argentina, grouped in Agricultural Sciences and Biological Sciences. We analyzed students’ attitudes at the beginning and at the end of the course, the differences between pre- and post-course attitudes and the relationship between these changes and students’ performances. The sample consisted of 436 students and their attitudes were measured using the Survey of Attitudes Towards Statistics (SATS-28), considering four components: Affect, Cognitive Competence, Value and Difficulty. Students’ performances were classified as: passed (and exempt from final exam), intermediate (but not exempt from final exam), and failed. Difficulty was not related to students’ performance, as opposed to what was detected with the other components. Cognitive competence was the only component that classified students’ performance in the correct order. Students who failed the course differed from the rest in that they developed more negative feelings towards statistics at the end of the course; in contrast, students with good performance showed an increase in the value given to statistics. Biological Sciences students presented higher average in the four components studied.Abstract: SpanishLos estudiantes de carreras universitarias no estadísticas a menudo perciben a estadística como una imposición, subestimando su utilidad, encontrando dificultades que les causan, entre otros, ansiedad y estrés y muchos desaprueban la materia. Las actitudes de los estudiantes pueden dificultar su aprendizaje y el desarrollo de habilidades útiles asociadas al pensamiento estadístico que deberían aplicarse posteriormente fuera del aula. El objetivo de este estudio fue analizar las actitudes de los estudiantes hacia la estadística en cursos introductorios en tres facultades de Argentina, agrupadas en Ciencias Agrícolas y Ciencias Biológicas. Analizamos sus actitudes al principio y al final del curso, las diferencias entre las actitudes posteriores y previas al curso y la relación entre estos cambios y el rendimiento del alumno. La muestra estaba compuesta por 436 estudiantes y sus actitudes se midieron utilizando la Encuesta de Actitudes Hacia la Estadística (SATS-28), considerando cuatro componentes: Afecto, Competencia Cognitiva, Valor y Dificultad. El rendimiento de los estudiantes se clasificó en promoción, intermedio y reprobación. Dificultad no se relacionó con el rendimiento del estudiante a diferencia con lo detectado con las otras componentes. La Competencia
非统计学位课程的学生往往将统计视为一种负担,低估了统计的有用性,并遇到了导致他们焦虑和压力等的困难,这导致他们中的许多人错过了课程。学生的态度可能会阻碍他们学习和发展与统计思维相关的有用技能,这些技能稍后应在教室外应用。这项研究的目的是分析阿根廷三所农业科学和生物科学学校入门课程中学生对统计的态度。我们分析了学生在课程开始和结束时的态度,课程前后态度的差异,以及这些变化与学生表现之间的关系。样本由436名学生组成,他们的态度是通过对统计数据的态度调查(SATS-28)测量的,考虑到四个组成部分:情感、认知能力、价值观和困难。学生的表现分为:通过(和免试)、中级(但不免试)和失败。困难与学生的表现无关,而与其他成分检测到的情况相反。认知能力是将学生的表现按正确顺序分类的唯一组成部分。不及格的学生与其他学生不同,因为他们在课程结束时对统计数据产生了更多的负面情绪;相反,表现良好的学生显示出对统计数据的重视有所增加。生物科学学生在所学的四个组成部分中的平均水平较高。摘要:非统计专业的西班牙大学生经常将统计视为一种强加,低估了其有用性,发现给他们带来焦虑和压力等困难,许多人不赞成这一问题。学生的态度可能会阻碍他们的学习和与统计思维相关的有用技能的发展,这些技能随后应在课堂外应用。这项研究的目的是分析阿根廷三所农业科学和生物科学学院入门课程中学生对统计的态度。我们分析了他们在课程开始和结束时的态度,课程后和课程前态度之间的差异,以及这些变化与学生表现之间的关系。样本由436名学生组成,他们的态度是使用统计态度调查(SATS-28)测量的,考虑到四个组成部分:情感、认知能力、价值观和困难。学生的表现分为晋级、中级和不及格。与其他成分不同,困难与学生的表现无关。认知能力是将表现按正确顺序分类的唯一组成部分。不及格的学生与其他学生的不同之处在于,他们在课程结束时对统计数据产生了更多的负面情绪;与表现良好的人相比,他们表现出对统计数据的重视有所增加。生物科学专业的学生在这四个组成部分中的平均水平较高。
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引用次数: 2
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Statistics Education Research Journal
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