O tema água no ensino de ciências:uma proposta didático pedagógica elaborada com base nos três momentos pedagógicos

Science and technology are increasingly present in society’s everyday living, interfering with the appearance and social relationships, which requires from the population: knowledge, skills and actions to intervene consciously and responsibly in the new socio-cultural setting. The science education might become a great ally in the task of literacy and / or enable students to live consciously and critically in a world even more influenced by scientific and technological aspects. The aim of the dissertation is to develop a didactic-pedagogic proposal for science classes of the 6th year of elementary school, based on the "Generator Theme: Water and its treatment", involving the dynamics of the Three Pedagogic Moments. Such proposal consists of a Course which embraces seven teaching modules containing topics related to Generator Theme. The modules were designed and developed with four student groups of 6th year in twelve hours / class per group, with a total of approximately 120 students. The interpretation of the developed content, resulting from the thematic modules with students, led to the creation of five analysis categories. Considering the results, it is possible to conclude it is necessary, for successful teaching practices in the school environment, that the teachers embrace the aim of teaching in a meaningful way, drawing up activities that really recognize and include the student as an active subject of the educational and learning process. The use of activities that lead students to recognize themselves as main process actors, developing practices based on previous knowledge and on their specific learning, results in a situation which they will recognize the science in their lives, learn to be reflective and aware of their attitudes about the world where they live.

O Ensino de ligações químicas por meio do conceito de energia: uma proposta didática para o ensino médio

This work presents discussions on the teaching of Chemical Bonds in high school and some implications of this approach in learning chemistry by students. In general, understanding how the chemicals combine to form substances and compounds, it is a key point for understanding the properties of substances and their structure. In this sense, the chemical bonds represent an extremely important issue, and their knowledge is essential for a better understanding of the changes occurring in our world. Despite these findings, it is observed that the way in which this concept is discussed in chemistry class has contributed, paradoxically, to the emergence of several alternative designs, making the understanding of the subject by students. It is believed that one of the explanations for these observations is the exclusive use of the "octet rule" as an explanatory model for the Chemical Bonds. The use of such a model over time eventually replace chemical principles that gave rise to it, transforming knowledge into a series of uninteresting rituals and even confusing for students. Based on these findings, it is deemed necessary a reformulation in the way to approach this content in the classroom, taking into account especially the fact that the explanations of the formation of substances should be based on the energy concept, which is fundamental to understanding how atoms combine. Thus, the main question of the survey and described here of the following question: Can the development of an explanatory model for the Chemical Bonds in high school based on the concept of energy and without the need to use the "octet rule"? Based on the concepts and methodologies of modeling activity, we sought the development of a teaching model was made through Teaching Units designed to give subsidies to high school teachers to address the chemical bonds through the concept of energy. Through this work it is intended to make the process of teaching and learning of Chemical Bonds content becomes more meaningful to students, developing models that contribute to the learning of this and hence other basic fundamentals of chemistry.

Uma proposta de ensino de frações no 6º ano do ensino fundamental a partir da teoria histórico-cultural

This text presents developed in the Graduate Program in Science and Mathematics Education at the Federal University of Uberlândia, in which it was intended to answer the question: What are the pedagogical implications for the fractions concept learning for students of the 6th grade of elementary school that the teaching guide activities can provide? The objectives of this research were: a) analyze the possible pedagogical implications for the learning of the fraction's concept for students of the 6th grade of elementary school through guiding teaching activities; b) using the conceptual connections of the fraction to enable students to develop an abstract thought and c) investigate whether guiding teaching activities reflect on 'how to think' and 'how to do' of the student. Five teaching activities have been developed (MOURA, 2002) from the perspective of teaching guiding activity (TGA) and had as object of study the teaching of fractions for students in 6th year of elementary school. They have been prepared and proposed activities in which it was intended to investigate the use of history of mathematics as an aid in learning the conceptual fraction links (CARAÇA, 1951) by students. Such activities, for analysis, were organized into episodes and scenes (MOURA, 2004) and discussed how students deal with the measurement of whole quantity (all) and subunits (part); how they represent in verbal or written language. It is hoped that the research is set up as an important contribution to mathematics teaching area and may contribute to the initial and continuing training of mathematics teacher sand the formation of theoretical thinking of elementary school students.

A descoberta do elétron como tema gerador de um ensino de física mediado por experimentação remota

In this work, we have proposed and applied a methodology for teaching electromagnetism, based on an experimental activity and designed in an investigative teaching model, and containing a high degree of dialogism among teachers and students. We have used the discovery of the electron as a generator theme and a remote experiment to determine the charge-to-mass ratio of the electron as an educational resource. Our analyses indicate favorably towards the promotion of ways of appropriation of knowledge by the student, very different from those perceived in traditional expositive classes. Similarly, we find that the presence of a technological resource and an experimental activity create new posture of the teacher in the classroom, probably caused by the unpredictability of the results from the use of such resources. A challenge that we still need to solve is how to engage students in extra classroom tasks, since learning is not only effective in time for classes. We also present the weaknesses detected in our methodological proposal as well as implementations necessary in order to continue the validation process of this methodology.

O Ensino de ligações químicas por meio do conceito de energia: uma proposta didática para o ensino médio

This work presents discussions on the teaching of Chemical Bonds in high school and some implications of this approach in learning chemistry by students. In general, understanding how the chemicals combine to form substances and compounds, it is a key point for understanding the properties of substances and their structure. In this sense, the chemical bonds represent an extremely important issue, and their knowledge is essential for a better understanding of the changes occurring in our world. Despite these findings, it is observed that the way in which this concept is discussed in chemistry class has contributed, paradoxically, to the emergence of several alternative designs, making the understanding of the subject by students. It is believed that one of the explanations for these observations is the exclusive use of the "octet rule" as an explanatory model for the Chemical Bonds. The use of such a model over time eventually replace chemical principles that gave rise to it, transforming knowledge into a series of uninteresting rituals and even confusing for students. Based on these findings, it is deemed necessary a reformulation in the way to approach this content in the classroom, taking into account especially the fact that the explanations of the formation of substances should be based on the energy concept, which is fundamental to understanding how atoms combine. Thus, the main question of the survey and described here of the following question: Can the development of an explanatory model for the Chemical Bonds in high school based on the concept of energy and without the need to use the "octet rule"? Based on the concepts and methodologies of modeling activity, we sought the development of a teaching model was made through Teaching Units designed to give subsidies to high school teachers to address the chemical bonds through the concept of energy. Through this work it is intended to make the process of teaching and learning of Chemical Bonds content becomes more meaningful to students, developing models that contribute to the learning of this and hence other basic fundamentals of chemistry.

Estratégias de trabalho com blogs no ensino de geometria em turmas de 5° ano do ensino fundamental

This paper presents a survey conducted through collaborative work, which took place in a suburb school in the city of Uberlandia-MG. The research is characterized as case study and has a qualitative approach. Had the objective to look for different strategies of teaching and learning through the use of technology in pedagogical practice. Regarding the methodology in this research, we analyzed the work with the support of blogs, whose pages were used for student records and discussions directed to the geometry content. The students who were attending the fifth (5th) year of elementary school were invited to participate in this project. However, the research subjects were only those students who accepted the invitation to participate in the study through statement signed by parents. The project was developed with 30 students in the second half of 2014 and another 30 in the first half of 2015. The physical space at school, where most of the project activities were done was at the computer lab. In the process of compiling the data, at school, the following instruments were used: field notes produced by the entire project team, photographs and footage of the activities produced in the computer lab and in classroom (recorded by the research team) questionnaires, interviews, virtual space records: the blogs. The results of this research mainly focused on the analysis of the fifth year student‟s productions records in blogs. Regarding the conclusion, the research has shown that blogs, software and differentiated dynamic studies attracted the student‟s attention, leaving them mostly instigated by the unknown. Gradually, students built their own knowledge from their mistakes and successes. The entire work process enabled the computer lab to be an environment that is used not just to solving computerized and tedious drills. The blogs production work in groups, developed in students the reading and writing of both the mother language as symbols and mathematical nomenclature. The interaction between students became noticeable throughout the project, since it provided the student‟s personal growth, respect, tolerance and mutual cooperation. In this sense, we concluded that the project greatly contributed to the students' literacy process in the mother language, mathematics and computer literacy.

Sequência didática com temas motivadores no ensino de física

This study is based on the design and development of a Didactic sequence in Physics for the first year of high school in a public school, involving structured activities on Astronomy topics, Astronautics and Aeronautics. In addition, it produced a didactic-pedagogic Tutorial for teachers to develop teaching-learning processes in Physics through activities with handmade rockets. These activities have been based on teaching moments of questioning, systematization and contextualization. In this context the understanding and the deepening of concepts and scientific and physical phenomena are related to everyday knowledge, in accordance with the historical-cultural theory, with the Three Pedagogic Moments, dialogicity and Information and Communication Technologies as instruments of triggering actions and motivation, like movies and applications in teaching Astronomy, Physics and Mathematics. The research activities were conduced by adopting a qualitative approach and included reports, questionnaires, semi-structured interviews and other notes. The development of the Didactic Sequence enabled a differentiated teaching and learning process, including aspects such as conceptualization, contextualization, flexibility, interdisciplinary and theoreticalexperimental relationship.

O tema água no ensino de ciências: uma proposta didático pedagógica elaborada com base nos três momentos pedagógicos

Science and technology are increasingly present in society’s everyday living, interfering with the appearance and social relationships, which requires from the population: knowledge, skills and actions to intervene consciously and responsibly in the new socio-cultural setting. The science education might become a great ally in the task of literacy and / or enable students to live consciously and critically in a world even more influenced by scientific and technological aspects. The aim of the dissertation is to develop a didactic-pedagogic proposal for science classes of the 6th year of elementary school, based on the "Generator Theme: Water and its treatment", involving the dynamics of the Three Pedagogic Moments. Such proposal consists of a Course which embraces seven teaching modules containing topics related to Generator Theme. The modules were designed and developed with four student groups of 6th year in twelve hours / class per group, with a total of approximately 120 students. The interpretation of the developed content, resulting from the thematic modules with students, led to the creation of five analysis categories. Considering the results, it is possible to conclude it is necessary, for successful teaching practices in the school environment, that the teachers embrace the aim of teaching in a meaningful way, drawing up activities that really recognize and include the student as an active subject of the educational and learning process. The use of activities that lead students to recognize themselves as main process actors, developing practices based on previous knowledge and on their specific learning, results in a situation which they will recognize the science in their lives, learn to be reflective and aware of their attitudes about the world where they live.

Uma proposta para o ensino das estações do ano com base em um referencial topocêntrico

Studies carried out in several countries have confirmed the students’ difficulty in explaining the causes of the seasons of the year, and most of times their learning takes place incorrectly. The seasons of the year have been generally treated in didactic books apart from people´s routine, based on the heliocentric system, what demands abstraction to understand the phenomenon. Before this difficulty, it is necessary to think about a teaching proposal which allows the students to realize the environmental characteristics and its changes over time, as well as the seasons themselves. Thus, our goal was to work from the perspective of the observer on the terrestrial surface, therefore using the topocentric system. For that, we constructed a didactic sequence, grounded in Ausubel´s meaningful learning theory (2003) and in Moreira´s critical meaningful learning theory (2010), which was applied to students in 9th grade of elementary school and in 2th grade of high school at Escola Estadual Jerônimo Arantes, in Uberlândia, Minas Gerais, owing to their previous knowledge and alternative conceptions, which were collected via interviews. Afterwards, to evaluate the applied methodology, we made new interviews, by which we realized improvement in learning in relation to the characteristics of the seasons based on Sun´s apparent path, which we attribute to reference the change of observation and the means to obtain data on the volume of rainfall and average temperature in the city throughout the year. On the other hand, there are points that were not highlighted in learning, such as the link between winter and rainy season and the causes of the seasons, points left to be discussed in future investigations.

Horta escolar: temas geradores e os momentos pedagógicos no ensino de ciências

Science application has faced problems in the process of training and cognizant thinking subjects in their actions. Thus, this work is justified in order to reorganize the contents of this area of knowledge. Thus, the research entitled "Plantation School: generating themes and teaching moments in teaching of science" was developed with a group of 6th grade of elementary school, from the planting of vegetables in tires without usefulness, with purpose of building meanings and scientific concepts to students. This work was based on sociointeractionist perspective of Vygotsky (1996, 1998), education for thematic research Freire (1983, 1996) as well as in problem-solving situations identified by the methodology of Pedagogical Moments Delizoicov and Angoti (1992; 2002 ) which together corroborated for the construction of a proposed teaching and learning, curriculum reorganization and significance of scientific concepts. Thus, the project breaks in practice with the linearity of the contents, to develop and analyze themes mediated by pedagogical moments, in order to ascertain the contribution of this methodological resource for the teacher's work, with regard to the understanding of scientific concepts by students. Thus, lesson plans were built based on the study situation "Horta School" and Themes Generators "human interaction with the environment", "photosynthesis", "Ecology and Nutrition of living beings", culminating in the work proposal developed in the classroom. From these themes, the contents were worked through pedagogical moments, which are organized into three stages: questioning, organization / systematization of knowledge and application / contextualization of knowledge. Thus, within each Theme Generator activities were planned which resulted in the involvement of students in learning scientific concepts, such as the issue of sustainability, environmental pollution, nutrition of living beings and the decomposition of organic matter. This work led and motivated student participation in Themes generators, and allows greater interaction between teacher-student and student among his peers, through dialogism established in the classroom, which promoted a more meaningful learning for students.

Formação inicial do professor de matemática com uso de tecnologias da informação e comunicação no contexto da escola pública

This paper intends to analyze which contribution for teachers formative training the participation on extension projects can bring to the bachelors in Mathematics teaching. The research was conducted during the developing of a Project from the Program of Extension - Programa de Extensão UFU/Comunidade (PEIC) in a municipal school located in a country zone from Uberlândia-MG. The research was constituted by a series of activities with students from the ninth year of the Fundamental Education, Middle School. The main focus is the work developed by two bachelors of Mathemactics teaching from the Federal University from Uberlândia who were part of the PEIC team. This present research intends to answer the following question: How the extension project “Information technology and communication on Mathematics problem resolution in country zone schools” has contribited to reinforce and to (re)criate the fomative experiences of students from the Mathematics teaching course who have developed such project? The presente study is from a qualitative nature and has made use of the partaker searching methodology. The presente paper was organized in three chapters. On chapter I evidence is given to theoretical discussion made, having as main references the works of Larrosa, Ponte e Shön. Chapter II brings the description of the three activities that were developed and aplied during the PEIC Project, which are: Problems in the Park, Inaccessible Hight and Lili Game. On chapter III, the data analysis is presented. The data was obtained through instruments of registration such as: camera recording, photografic material, meetings reports, field notes, surveys and semi-structured interviews. The initial hypothesis aim is on the fact that the participation on extention projects during the graduation course can bring rich contribution for the teachers to be, since it’s going to provide the knowledge and chalenge close to the one from the future profession. With the analysis of the obtained results from the colected data, it was possible to conclude that the PEIC has provided the bachelors in Mathematics teching the opportunity of recreate and potenciate their formative experiences. Such opportunity happened in situations that involved, for example, planning makings, development of colective work, softwares usage, different school spaces and the direct interaction with school bureaucracy. Beyond that, it was possible to work with the cocepts of reflection in action in a way to contribute to the professional development of the future Mathematics teachers. Thereby, in our final considerations, is possible to conclude that extension projects performed during the graduation course can bring great contributions to the professional formation of the bachelors in Mathematics teaching, among them we highlight the potentiation of the previous formative experiences and the development of colective work and behavior related to a reflexive teacher.

Transposição didática da interação do laser com sistmas biológicos no ensino médio: uma proposta de guia didático para professores

In this dissertation was elaborated an interdisciplinary didactic sequence for the development of Physical concepts involved in the interaction of laser radiation with biological matter in order to make a relation between Physics and other fields of knowledge aiming to enlarge the contextualization of scientific knowledge. The objective was to develop an educational product which theme is “Laser’s Interaction with Biological Tissues”. In this work, basic physical concepts related to laser radiation were presented, its interaction with matter and applicability in the student's daily life, with emphasis on Public Health. The inclusion of the subject in schools was effected through didactic transposition as theoretical foundation and the three pedagogical moments as teaching support. The development of the project involved discussions of scientific knowledge applied in society’s daily life. In the product's design the didactic sequence was projected and the use of varied teaching resources has been proposed, such as videos, texts, experiments, simulators and de Software “Tracker”. The construction of paradidactic material was performed considering different stages of equal importance for a teacher's reflection process. The work prioritizes the alternative conceptions of student, transforming him in a direct agent of the construction of knowledge and this aspect is based on the profile of the Student's Material. Another important point is the evaluation's proposal, this was systematized to be done class after class through building texts, essay questions, presentation of papers, among others activities. The didactic sequence guides the introduction of relevant topics of the students and society’s daily life, the ideas are not closed and in many times the teacher make changes which deem relevant to the teaching for better development of their practice.

O papel das representações na resolução de problemas de Matemática: um estudo no 1º ano de escolaridade

Este estudo tem como objectivo investigar o papel que as representações, construídas por alunos do 1.o ano de escolaridade, desempenham na resolução de problemas de Matemática. Mais concretamente, a presente investigação procura responder às seguintes questões: Que representações preferenciais utilizam os alunos para resolver problemas? De que forma é que as diferentes representações são influenciadas pelas estratégias de resolução de problemas utilizadas pelos alunos? Que papéis têm os diferentes tipos de representação na resolução dos problemas? Nesta investigação assume-se que a resolução de problemas constitui uma actividade muito importante na aprendizagem da Matemática no 1.o Ciclo do Ensino Básico. Os problemas devem ser variados, apelar a estratégias diversificadas de resolução e permitir diferentes representações por parte dos alunos. As representações cativas, icónicas e simbólicas constituem importantes ferramentas para os alunos organizarem, registarem e comunicarem as suas ideias matemáticas, nomeadamente no âmbito da resolução de problemas, servindo igualmente de apoio à compreensão de conceitos e relações matemáticas. A metodologia de investigação segue uma abordagem interpretativa tomando por design o estudo de caso. Trata-se simultaneamente de uma investigação sobre a própria prática, correspondendo os quatro estudos de caso a quatro alunos da turma de 1.0 ano de escolaridade da investigadora. A recolha de dados teve lugar durante o ano lectivo 2007/2008 e recorreu à observação, à análise de documentos, a diários, a registos áudio/vídeo e ainda a conversas com os alunos. A análise de dados que, numa primeira fase, acompanhou a recolha de dados, teve como base o problema e as questões da investigação bem como o referencial teórico que serviu de suporte à investigação. Com base no referencial teórico e durante o início do processo de análise, foram definidas as categorias de análise principais, sujeitas posteriormente a um processo de adequação e refinamento no decorrer da análise e tratamento dos dados recolhidos -com vista à construção dos casos em estudo. Os resultados desta investigação apontam as representações do tipo icónico e as do tipo simbólico como as representações preferenciais dos alunos, embora sejam utilizadas de formas diferentes, com funções distintas e em contextos diversos. Os elementos simbólicos apoiam-se frequentemente em elementos icónicos, sendo estes últimos que ajudam os alunos a descompactar o problema e a interpretá-lo. Nas representações icónicas enfatiza-se o papel do diagrama, o qual constitui uma preciosa ferramenta de apoio ao raciocínio matemático. Conclui-se ainda que enquanto as representações activas dão mais apoio a estratégias de resolução que envolvem simulação, as representações icónicas e simbólicas são utilizadas com estratégias diversificadas. As representações construídas, com papéis e funções diferentes entre si, e que desempenham um papel crucial na correcta interpretação e resolução dos problemas, parecem estar directamente relacionadas com as caraterísticas da tarefa proposta no que diz respeito às estruturas matemáticas envolvidas. ABSTRACT; The objective of the present study is to investigate the role of the representations constructed by 1st grade students in mathematical problem solving. More specifically, this research is oriented by the following questions: Which representations are preferably used by students to solve problems? ln which way the strategies adopted by the students in problem solving influence those distinct representations? What is the role of the distinct types of representation in the problems solving process? ln this research it is assumed that the resolution of problems is a very important activity in the Mathematics learning at the first cycle of basic education. The problems must be varied, appealing to diverse strategies of resolution and allow students to construct distinct representations. The active, iconic and symbolic representations are important tools for students to organize, to record and to communicate their mathematical ideas, particularly in problem solving context, as well as supporting the understanding of mathematical concepts and relationships. The adopted research methodology follows an interpretative approach, and was developed in the context of the researcher classroom, originating four case studies corresponding to four 1 st grade students of the researcher's class. Data collection was carried out during the academic year of 2007/2008 and was based on observation, analysis of documents, diaries, audio and video records and informal conversations with students. The initial data analysis was based on the problems and issues of research, as well in the theoretical framework that supports it. The main categories of analysis were defined based on the theoretical framework, and were subjected to a process of adaptation and refining during data processing and analysis aiming the -case studies construction. The results show that student's preferential representations are the iconic and the symbolic, although these types of representations are used in different ways, with different functions and in different contexts. The symbolic elements are often supported by iconic elements, the latter helping students to unpack the problem and interpret it. ln the iconic representations the role of the diagrams is emphasized, consisting in a valuable tool to support the mathematical reasoning. One can also conclude that while the active representations give more support to the resolution strategies involving simulation, the iconic and symbolic representations are preferably used with different strategies. The representations constructed with distinct roles and functions, are crucial in the proper interpretation and resolution of problems, and seem to be directly related to the characteristics of the proposed task with regard to the mathematical structures involved.

Prática de ensino supervisionada em educação pré-escolar e ensino do 1º ciclo do ensino básico: explorando a simetria na infância

O presente relatório é referente à investigação realizada no âmbito das unidades curriculares da Prática de Ensino Supervisionada em Pré-Escolar e 1.º Ciclo do Ensino Básico, do Mestrado em Educação Pré-Escolar e Ensino do 1.º Ciclo do Ensino Básico, da Universidade de Évora. A investigação foi realizada em contexto de uma sala de Pré-Escolar e em contexto de 1.º Ciclo do Ensino Básico, numa turma de 2.º ano. Os dois contextos fazem parte da Escola Manuel Ferreira Patrício, sede do Agrupamento de Escolas n.º 1 de Évora. A respetiva investigação teve como objetivos compreender, analisar e refletir acerca da exploração da simetria de reflexão em Pré-Escolar e em 1.º Ciclo do Ensino Básico. Deste modo, era pretendido responder às seguintes questões: “Como lidam as/os crianças/alunos com a identificação e a exploração de simetria de reflexão?” e “Que práticas devo desenvolver que contribuam para a compreensão e utilização da simetria de reflexão por parte das crianças?”. No decorrer da investigação foi desenvolvida uma intervenção didática em cada contexto, consistindo em sequências de tarefas de exploração de simetria que se caracterizaram por recorrer a diversos materiais e ao computador com o programa SIMIS, em 1.º Ciclo, com tarefas abertas de natureza exploratória. A recolha de dados apoiou-se nos cadernos de formação relativos às PES, nas planificações, nas produções das crianças, em respostas às tarefas e excertos dos diálogos havidos. Esta investigação permitiu verificar que é possível explorar a simetria no Pré- Escolar e 1.ºCiclo de Ensino Básico, uma vez que as crianças reconheceram figuras com simetria, conseguiram identificar eixos de simetria em figuras e construíram figuras simétricas. Para tal, desenvolveram-se práticas que contribuíram para a compreensão e utilização da simetria, através de estratégias de ensino-aprendizagem exploratório da Matemática, com recurso a materiais manipuláveis e a software específico, que mostraram ser ferramentas essenciais nas tarefas de exploração e identificação de simetria; ABSTRACT: The present report refers to research developed in the context of Supervised Teaching Practice in Pre-school Education and in Primary School, integrated in Master’s degree in Pre-school Education and Teaching Primary School at University of Évora. The research was conducted in context of a pre-school room and in context of 1st cycle of basic education, in a 2nd class year. The two contexts are part of the Manuel Ferreira Patrício School, headquarters of cluster of Évora schools. The respective research has aimed understand, analyze and reflect about reflection symmetry exploration, in Pre-school and in Primary School. Thus, was intented to answer the questions: “How childrens deal with the identification and exploration of reflection symmetry?" And "What practices should be developed to contribute to the understanding and use of reflection symmetry by childrens?". During the research it was developed a didactic intervention, in each context, consisting of sequences of symmetry exploration tasks that featured by resorting to diverse materials and the computer with the SIMIS program in the Primary School, with open tasks exploratory. Data collection builds on the training books on STP, the flat patterns, in productions of children, in response tasks and excerpts from the additions accruing dialogues. This research has shown that it is possible to explore the symmetry in Preschool and Primary School, since children recognized figures with symmetry, they were able to identify lines of symmetry in figures and built symmetrical figures. For such practices have developed that have contributed to the understanding and use of symmetry, through exploratory teaching and learning strategies of mathematics, using manipulatives and specific software, which proved to be essential tools in the exploration tasks and identification symmetry.

Negociação de significados no 1.º ano de escolaridade: conceitos e processos matemáticos

Este artigo discute o papel da negociação de significados na definição de conceitos e processos matemáticos em aulas do 1.º ano de escolaridade do 1.º ciclo do ensino básico. Os dados foram recolhidos por mim, por vídeo gravação, em aulas do 1.º ano de escolaridade de dois professores com habilitação profissional para a docência no 1.º e 2.º ciclos do ensino básico, na variante matemática/ciências da natureza. A análise de dados assume uma orientação interpretativa da ação e significação da prática profissional dos professores. Os resultados apontam para a importância da partilha e negociação de significados matemáticos no desenvolvimento de conceitos e processos matemáticos na aprendizagem da desenvolvimento de conceitos e processos matemáticos na aprendizagem da matemática e para o aprofundamento da formação matemática dos professores do ensino básico.