On Aspects of Mathematical Reasoning : Affect and Gender

This thesis explores two aspects of mathematical reasoning: affect and gender. I started by looking at the reasoning of upper secondary students when solving tasks. This work revealed that when not guided by an interviewer, algorithmic reasoning, based on memorising algorithms which may or may not be appropriate for the task, was predominant in the students reasoning. Given this lack of mathematical grounding in students reasoning I looked in a second study at what grounds they had for different strategy choices and conclusions. This qualitative study suggested that beliefs about safety, expectation and motivation were important in the central decisions made during task solving.  But are reasoning and beliefs gendered? The third study explored upper secondary school teachers conceptions about gender and students mathematical reasoning. In this study I found that upper secondary school teachers attributed gender symbols including insecurity, use of standard methods and imitative reasoning to girls and symbols such as multiple strategies especially on the calculator, guessing and chance-taking were assigned to boys. In the fourth and final study I found that students, both male and female, shared their teachers view of rather traditional feminities and masculinities. Remarkably however, this result did not repeat itself when students were asked to reflect on their own behaviour: there were some discrepancies between the traits the students ascribed as gender different and the traits they ascribed to themselves. Taken together the thesis suggests that, contrary to conceptions, girls and boys share many of the same core beliefs about mathematics, but much work is still needed if we should create learning environments that provide better opportunities for students to develop beliefs that guide them towards well-grounded mathematical reasoning. 

Från traditionellt akademiskt bibliotek till modern lärmiljö : Högskolan Dalarnas bibliotek – förväntningar och resultat

I denna rapport beskrivs idéerna bakom Högskolan Dalarnas prisbelönta bibliotek i Falun. Planerings- och byggprocessen beskrivs och det färdiga resultatet utvärderas, samt de erfarenheter som har gjorts delas.

Fatores antecedentes da satisfação do aluno e do uso de sistemas virtuais de aprendizagem

A educação a distância tem passado por grandes transformações, principalmente após o advento da internet e das tecnologias de informação e comunicação (TICs). Inúmeras perguntas sobre qualidade e resultados de aprendizagem em ambientes virtuais foram geradas com o crescimento da modalidade. Pesquisadores têm investigado métodos de avaliação dos benefícios promovidos pelo e-learning sob um número diversificado de perspectivas. O objetivo desta pesquisa é avaliar o impacto dos construtos qualidade do sistema, qualidade da informação e qualidade do serviço na satisfação do aluno e no uso de Sistemas Virtuais de Aprendizagem em ambientes de e-learning, utilizando como base teórica o modelo de Sucesso de e-learning, adaptado do modelo de Delone e McLean por Holsapple e Lee-Post. A metodologia de pesquisa tipo survey foi administrada por meio de um curso on-line ofertado a 291 estudantes de instituições públicas e privadas de todas as regiões do Brasil. Para o tratamento e análise dos dados, utilizaram-se técnicas de modelagem de equações estruturais e análise fatorial confirmatória. Os resultados demonstram que o uso do sistema é impactado pela variação dos construtos qualidade do sistema, qualidade da informação e qualidade dos serviços, já a satisfação do aluno é antecedida pela qualidade percebida da informação e do serviço. Muitos dos benefícios gerados pela educação a distância são causados pela satisfação do aluno e pela intensidade com que este utiliza o sistema de aprendizagem. Ao identificar os indicadores que antecedem estas variáveis, os gestores educacionais podem planejar seus investimentos visando atender às demandas mais importantes, além de utilizar a informação para lidar com um dos maiores problemas em EaD: a evasão.

Espaços transversais em educação matemática :uma contribuição para a formação de professores na perspectiva etnomatemática

This PH.D. thesis is an attempt to show the beginning, evolution and unfolding of the making of a pedagogical work proposal based on culturally-built knowings in the heart of a traditional community, having as one of its starting points the knowings and doings experienced by dish-making women from Maruanum living in the city of Macapá, State of Amapá, Brazil. This proposal is strongly associated with the need we have to think about the nature of (ethnological)-mathematical knowledge generated by particular communities and about the way such knowledge can be discussed, worked out, and validated in learning environments, regardless of the level of instruction and the constraints imposed by government programs and educational institutions. Among its theoretical foundations are studies on instrumental activities that are typical of the Maruanum ceramics and investigative studies from the point of view of ethnomathematics. Methodological development took place with the application of activities, where traditional and instrumental knowledge observed in the production of ceramics had been adapted for and brought into the school environment , participative observation, as well as data collecting and organization techniques, such as interviews, statements, and audio an visual recordings. Analysis of the data collected focused on the relationship between the data-generating potential and the purpose of this study. Our aim is to make and estimate of the potential contributions from local situations and/or problems it would possibly bring to the formative learning of people involved in the educational processes of these communities, with a view to a spatial and temporal transformation of reality

Globos e mapas ao alcance das mãos : ensino de matemática numa perspectiva de alfabetização funcional na EJA

The following dissertation has as its main advantage the privilege of visualizing the literacy processes through the angle of the functional perspective, which does not see the literary process as a practice solely based on the decoding of alphabetical codes, and then allows for the opening of ample spaces for the allocation of mathematical skills in the realms of the functional literacy. The main object of this study was to investigate which are the contributions that a sequence of activities and of methodologies developed for the teaching of Geometry could provide for a part of the functional literacy process in mathematics of youngsters and adults of EJA, corresponding to the acquisition or to the improvement of skills related to the orientation capacity. The focus of the analyses consisted in the practice of these activities with the young and adult students of an EJA class belonging to a municipal public school of Natal/RN. The legacies of Paulo Freire about the redimensioning of the role of the teacher, of the students, of the knowledge and of their connections within the teaching-learning process, prevailed in the actions of the methodology implemented in the classroom and, especially, in the establishing of dialogic connections with the students, which directed all the observations and analyses regarding the collected information. The results indicated that the composition of articulations between the teaching of mathematics and the exploration of maps and the earth globe enabled the creation of multidisciplinary learning environments and situations, where we could observe, gradually, the development of procedures and attitudes indicating the evolution of space-visual type skills

Mapa de Conteúdos e Mapa de Dependências:Ferramentas Pedagógicas para uma Metodologia de Planejamento baseada em Objetivos Educacionais e sua Implementação em um Ambiente Virtual de Aprendizagem

Furthered mainly by new technologies, the expansion of distance education has created a demand for tools and methodologies to enhance teaching techniques based on proven pedagogical theories. Such methodologies must also be applied in the so-called Virtual Learning Environments. The aim of this work is to present a planning methodology based on known pedagogical theories which contributes to the incorporation of assessment in the process of teaching and learning. With this in mind, the pertinent literature was reviewed in order to identify the key pedagogical concepts needed to the definition of this methodology and a descriptive approach was used to establish current relations between this conceptual framework and distance education. As a result of this procedure, the Contents Map and the Dependence Map were specified and implemented, two teaching tools that promote the planning of a course by taking into account assessment still in this early stage. Inserted on Moodle, the developed tools were tested in a course of distance learning for practical observation of the involved concepts. It could be verified that the methodology proposed by the above-mentioned tools is in fact helpful in course planning and in strengthening educational assessment, placing the student as central element in the process of teaching and learning

O ambiente virtual na formação inicial de professores de alemão como apoio para o ensino e a aprendizagem da língua e a reflexão sobre ações docentes

Estudiosos dos campos da Educação, da Linguística Aplicada e da Formação de Professores de Línguas insistem hoje na grande importância da inclusão de Tecnologias de Informação e Comunicação (TICs) na formação inicial, bem como na necessidade de promover o desenvolvimento do pensamento crítico-reflexivo dos futuros professores. Tomando como pressupostos teóricos estudos acerca das características da sociedade de informação, dos ambientes virtuais e da formação de professores, este trabalho tem como objetivo discutir possibilidades oferecidas pela plataforma Moodle de aprendizagem na formação inicial de professores de alemão. Para tanto, apresentaremos diferentes formas de uso de ambientes virtuais e de ferramentas neles disponíveis, que demonstraram ser de grande valor no processo de formação de licenciandos, tanto em língua alemã, quanto durante suas práticas iniciais. As experiências apontam para um valor inestimável de ambientes virtuais no acompanhamento de licenciandos no processo de aprendizagem da língua e nas primeiras experiências com a docência.

Comunicação gráfica em interfaces de hipermídia de educação a distância via web

This study aims to analyze the communication graphics of layouts of hypermedia interfaces oriented to Distance Education via the Internet. This proposal is justified by widening the offer of courses that modality and the consequent application of items of hypermedia for teaching-learning. The method of analysis involved the search nethnographic, addressed to the cycle student intermediary of the Training Program Continuing Medias in Education, and the evaluation heuristic of the interfaces of Virtual Learning Environment "E-Proinfo" and of the modules of the Cycle. This evaluation we observed the implementation of the attributes of usability and the degree of interactivity of each interface. The results revealed an inefficient implementation of the attributes of usability, which meant a consequent reduction of the levels of interactivity. As proposing the present Design Virtual Learning, a model of hypermedia layout, designed to generate usability for Virtual learning environments and extend the acquisition of literancy for students and tutors. This proposal design not hypermedia aims the demarcation of models pre-conceived, but the proposal of layout in which each element of hypermedia is applied with a view to generate a seaworthiness intuitive, more agile and efficient, in these ambients

As relações afetivas na prática tutorial e sua relações com a aprendizagem no curso a distância de licenciatura plena em Química

In distance learning degree in Chemistry in full of the Secretária de Educação a distância da Universidade Federal do Rio Grande do Norte (SEDIS / UFRN). The teacher-tutor to establish the experimental subjects closer relationships with students, mediating the pedagogical actions that develop in the distance learning course, with a view to achieving the principles of autonomy and learning, contributing to the creation of learning environments collaborative, guided by affection.The article presents the results of an empirical research on affectivity in practice this tutorial experimental classes in higher distance education in the full degree course in Chemistry Polo Currais Novos/ RN, held between 2009 and 2010. The study is based on qualitative methodology, whose data were collected through questionnaires and semi-structured interviews with 48 (forty eight) students involved in distance learning courses and selected in order to compose a group of subjects who showed variability, as guidelines that guide the sampling procedures in qualitative research. The results, based on category theory and empirical analysis of data from the interviews were supplemented by information obtained from participant observation which also served to guide the data collection of the corpus of this work. With the results we understand that there is clarity about what characterizes a loving relationship between those involved in the process of teaching and learning in experimental classes in high school chemistry Distance Education. Furthermore, it was also clear that the communication process in dialogic teaching and learning in higher distance education in chemistry at the trial need to mark out in balanced affective attitudes, the experimental error that value and respect the many possible construction of knowledge by movements social interaction of individual and collective

As relações afetivas na prática tutorial e sua relação com a aprendizagem no curso a distância de licenciatura plena em química

In distance learning degree in Chemistry in full of the Secretária de Educação a distância da Universidade Federal do Rio Grande do Norte (SEDIS / UFRN). The teacher-tutor to establish the experimental subjects closer relationships with students, mediating the pedagogical actions that develop in the distance learning course, with a view to achieving the principles of autonomy and learning, contributing to the creation of learning environments collaborative, guided by affection.The article presents the results of an empirical research on affectivity in practice this tutorial experimental classes in higher distance education in the full degree course in Chemistry Polo Currais Novos/ RN, held between 2009 and 2010. The study is based on qualitative methodology, whose data were collected through questionnaires and semi-structured interviews with 48 (forty eight) students involved in distance learning courses and selected in order to compose a group of subjects who showed variability, as guidelines that guide the sampling procedures in qualitative research. The results, based on category theory and empirical analysis of data from the interviews were supplemented by information obtained from participant observation which also served to guide the data collection of the corpus of this work. With the results we understand that there is clarity about what characterizes a loving relationship between those involved in the process of teaching and learning in experimental classes in high school chemistry Distance Education. Furthermore, it was also clear that the communication process in dialogic teaching and learning in higher distance education in chemistry at the trial need to mark out in balanced affective attitudes, the experimental error that value and respect the many possible construction of knowledge by movements social interaction of individual and collective

Saberes necessários para a docência na educação de jovens e adultos

The present thesis, entitled Knowledge for teaching: reflecting over the Youth and Adult Education, mainly considered common aspects concerning teachers knowledge and youth and adult education. It aimed to analyze, in partnership with its participants, the knowledge which is requested for teaching youth and adults. It focused on the following question: What teaching knowledge is necessary for the professionals who work during the first grades of elementary school with the youth and adults? The research took place in a school named Escola Municipal São Lucas, located in the city of Vitória da Conquista, state of Bahia, having as reference the discourses of four participants involved in the experience of research-formation. The collaborative approach, based on qualitative principles, was the adopted theoricalmethodological way, considering four actions: describing, informing, confronting and reconstructing. Collective interviews, study and reflection sessions, literacy practice observations, documental analysis and notes regarding field work were procedures adopted throughout the research. In order to analyze and organize data, we were supported by the discourse analysis, by Bakhtin (1997), specifically about the discussions around the ideas of theme and signification, which are concepts related to processual and dialectical analysis. The results and conclusions of the research make it possible to affirm that pedagogical practices, professional experiences, dialogues with other individuals and knowledge acquired at the university and at other learning environments are the participants main knowledge sources. When it comes to the local educational politics, it is observed contradiction between the participants desires regarding the school pedagogical routines and the proposals of the local government in relation to education. From our point of view, the knowledge identified and analyzed in this thesis demands the development of a diligent, technical, scientific and politically planned formative process (initial and continued), which requires fundamental public investments to recreate the educational politics and, consequently, the pedagogical experiences within the schools, contributing to the Youth and Adult Education professionalization process

DIFFERENT MEDIA, DIFFERENT TYPES OF COLLECTIVE WORK IN ONLINE CONTINUING TEACHER EDUCATION: WOULD YOU PASS THE PEN, PLEASE?

This paper presents some findings regarding the interaction between different computer interfaces and different types of collective work. We want to claim that design in online learning environments has a paramount role in the type of collaboration that happens among participants. In this paper, we report on data that illustrate how teachers can collaborate online in order to learn how to use geometry software in teaching activities. A virtual environment which allows that construction to be carried out collectively, even if the participants are not sharing a classroom, is the setting for the research presented in this paper.

Conditional reasoning: A key to assessing computer-based knowledge-building communication processes

This article describes a methodological approach to conditional reasoning in online asynchronous learning environments such as Virtual-U VGroups, developed by SFU, BC, Canada, consistent with the notion of meaning implication: If part of a meaning C is embedded in B and a part of a meaning B is embedded in A, then A implies C in terms of meaning [Piaget 91]. A new transcript analysis technique was developed to assess the flows of conditional meaning implications and to identify the occurrence of hypotheses and connections among them in two human science graduate mixed-mode online courses offered in the summer/spring session of 1997 by SFU. Flows of conditional meaning implications were confronted with Virtual-U VGroups threads and results of the two courses were compared. Findings suggest that Virtual-U VGroups is a knowledge-building environment although the tree-like Virtual-U VGroups threads should be transformed into neuronal-like threads. Findings also suggest that formulating hypotheses together triggers a collaboratively problem-solving process that scaffolds knowledge-building in asynchronous learning environments: A pedagogical technique and an built-in tool for formulating hypotheses together are proposed. © Springer Pub. Co.

Roteiros e produção de conteúdos interativos para celulares nos cursos de educação a distância na televisão digital interativa

Pós-graduação em Televisão Digital: Informação e Conhecimento - FAAC