This study investigates how five secondary students think mathematically and process information in a technology-supported environment while solving mathematics problems. In the study, students were given open-ended problems to explore in an online dynamic learning environment and to solve the problems in computer environments. Given that all the work was done in the computer environments, both online and offline, students’ work was recorded by using screen capturing software. A new method, the frame analysis method, was used to describe and analyze students’ thinking processes while they were interacting with mathematical objects in the dynamic learning environment and solving mathematics problems. The frame analysis method is a microgenetic method based on information processing theory and is developed to analyze students’ work done in computer environments. Two reasons make the analysis method used in this study unique: (a) collecting data with minimized disturbance of the students and (b) analyzing students’ artefacts through researcher’s (teacher) perspective, meaning that integrates teachers within the analysis process. The frame analysis method consists of multiple steps to observe, describe, interpret, and analyze students’ mathematical thinking processes when they are solving mathematics problems. I described each step in detail to explain how the frame analysis method was used to monitor students’ mathematical thinking and to track their use of technology while solving problems. The data emerged from this study illustrates the importance of using dynamic learning environments in mathematics and the potential for transformation of mathematical representational systems from symbolic to visual. Moreover, data suggest that visual representation systems and linked multi-representational systems encourage students to interact with mathematical concepts and advance their mathematical understanding. Rather than dealing with the grammar of algebra only, students may benefit from direct interaction with the visually represented mathematical concepts. It appears that recording students’ problem-solving processes may engage teachers and mathematics educators to seek opportunities for implementing process-oriented assessment into their curriculum activities. Furthermore, students may benefit from sharing their work through peer collaboration, either online or offline, and metacognition and self-assessment. Suggestions for further studies include using audio and video recording in the frame analysis method.

Em 1870, na Itália, nasce Maria Montessori. De uma criança e adolescente curiosa, surge uma mulher corajosa e com ideias à frente de seu tempo. Ingressa na Faculdade de medicina, tornando-se a primeira mulher a concluí-la em toda a Itália. Estuda filosofia, psicologia experimental e pedagogia na Faculdade de Filosofia da Universidade de Roma, voltando todos os seus esforços para a Educação. Após escrever livros e ministrar palestras sobre Educação, suas ideias percorrem o planeta e, hoje, são utilizadas em várias escolas, em diferentes países. Percebe-se nessas escolas que, em algum momento da vida do escolar, ocorre uma ruptura das ideias montessorianas, que param de ser usadas, normalmente, nos anos iniciais do ensino fundamental. O objetivo deste trabalho é apresentar a pesquisa que teve como questão norteadora: é possível fazer uma releitura da perspectiva montessoriana de modo a abordar alguns conteúdos que são trabalhados nos anos finais do ensino fundamental na disciplina de matemática? Diante de tal questão, foram elencados os seguintes objetivos: contextualizar a vida e as obras de Maria Montessori, inseridas no contexto social, político e econômico da Itália no século XIX e início do século XX; fazer uma releitura dos princípios montessorianos de modo a potencializar tais processos de ensino e aprendizagem da matemática nos anos finais do ensino fundamental, no contexto contemporâneo; selecionar, aplicar e analisar uma proposta de atividades fazendo uso dos princípios montessorianos em uma turma dos anos finais do ensino fundamental de uma escola de Porto Alegre, abordando os conteúdos de produtos notáveis e funções, utilizando tecnologias. Para contextualizar a vida e as obras de Maria Montessori, foram feitas leituras de suas obras e de obras a seu respeito, além de leituras que traçam um panorama da Itália na época em que viveu. Também foram consultadas obras que se utilizem do tripé: matemática, didática e tecnologia. Com isso, foi adquirido conhecimento para selecionar, aplicar e analisar uma proposta de ensino, seguindo os princípios montessorianos e fazendo uso de tecnologias, que poderá ser utilizada por professores de matemática nos anos finais do ensino fundamental. Com a pesquisa, verificou-se que é possível, no contexto contemporâneo de tempo e espaço escolar, manter vivos os princípios montessorianos, de modo que a ação do professor de matemática crie situações de aprendizagem que respeitem a individualidade e o ritmo de cada aluno e que promovam sua autoeducação, sem que se perca a conexão com o outro e com o mundo, na perspectiva de uma educação para a paz. / In 1870, in Italy, Maria Montessori was born. A curious child became a brave woman with ideas ahead of her time. She joined the Medical School, becoming the first woman to complete it throughout Italy. She studied philosophy, experimental psychology and pedagogy at the Faculty of Philosophy of Rome University, returning all her efforts to Education. After writing books and giving lectures on Education, her ideas roam the planet and are now used in several schools in different countries. It can be seen in these schools that, at some point in the school life, there is a rupture of Montessori’s ideas, when they stop being used, usually in the early years of elementary school. The aim of this work is to present the research that had as its guiding question: is it possible to make a rereading of Montessori’s approach in order to address some contents that are worked in the final years of elementary school in mathematics? Faced with this question, the following objectives were listed: contextualize life and work of Maria Montessori, inserted in the social, political and economic development of Italy in the nineteenth and early twentieth century; make a rereading of Montessori’s principles in order to enhance these processes of teaching and learning of mathematics in the final years of elementary school, in the contemporary context; select, implement and analyze a proposal of activities making use of Montessori’s principles in a class of final years of elementary education at a school in Porto Alegre, addressing the contents of remarkable products and functions, using technology. To contextualize the life and the work of Maria Montessori, were made readings of her works and of works about her, and readings painting a panorama of Italy at the time in which she lived. Were also consulted works that use the tripod: mathematics, teaching and technology. With these, it was acquired knowledge to select, implement and analyze an educational proposal, following the Montessori’s principles and making use of technologies that can be applied by math teachers in the final years of elementary school. Through this research, it was verified that it is possible, in the contemporary context of time and school space, to keep alive the Montessori’s principles, so that the math teacher's action creates learning situations that respect the individuality and the rhythm of each student and promotes his self-education, without losing the connection with each other and with the world, in a perspective of education for peace.

This study investigates how five secondary students think mathematically and process information in a technology-supported environment while solving mathematics problems. In the study, students were given open-ended problems to explore in an online dynamic learning environment and to solve the problems in computer environments. Given that all the work was done in the computer environments, both online and offline, students’ work was recorded by using screen capturing software. A new method, the frame analysis method, was used to describe and analyze students’ thinking processes while they were interacting with mathematical objects in the dynamic learning environment and solving mathematics problems. The frame analysis method is a microgenetic method based on information processing theory and is developed to analyze students’ work done in computer environments. Two reasons make the analysis method used in this study unique: (a) collecting data with minimized disturbance of the students and (b) analyzing students’ artefacts through researcher’s (teacher) perspective, meaning that integrates teachers within the analysis process. The frame analysis method consists of multiple steps to observe, describe, interpret, and analyze students’ mathematical thinking processes when they are solving mathematics problems. I described each step in detail to explain how the frame analysis method was used to monitor students’ mathematical thinking and to track their use of technology while solving problems. The data emerged from this study illustrates the importance of using dynamic learning environments in mathematics and the potential for transformation of mathematical representational systems from symbolic to visual. Moreover, data suggest that visual representation systems and linked multi-representational systems encourage students to interact with mathematical concepts and advance their mathematical understanding. Rather than dealing with the grammar of algebra only, students may benefit from direct interaction with the visually represented mathematical concepts. It appears that recording students’ problem-solving processes may engage teachers and mathematics educators to seek opportunities for implementing process-oriented assessment into their curriculum activities. Furthermore, students may benefit from sharing their work through peer collaboration, either online or offline, and metacognition and self-assessment. Suggestions for further studies include using audio and video recording in the frame analysis method.

Em 1870, na Itália, nasce Maria Montessori. De uma criança e adolescente curiosa, surge uma mulher corajosa e com ideias à frente de seu tempo. Ingressa na Faculdade de medicina, tornando-se a primeira mulher a concluí-la em toda a Itália. Estuda filosofia, psicologia experimental e pedagogia na Faculdade de Filosofia da Universidade de Roma, voltando todos os seus esforços para a Educação. Após escrever livros e ministrar palestras sobre Educação, suas ideias percorrem o planeta e, hoje, são utilizadas em várias escolas, em diferentes países. Percebe-se nessas escolas que, em algum momento da vida do escolar, ocorre uma ruptura das ideias montessorianas, que param de ser usadas, normalmente, nos anos iniciais do ensino fundamental. O objetivo deste trabalho é apresentar a pesquisa que teve como questão norteadora: é possível fazer uma releitura da perspectiva montessoriana de modo a abordar alguns conteúdos que são trabalhados nos anos finais do ensino fundamental na disciplina de matemática? Diante de tal questão, foram elencados os seguintes objetivos: contextualizar a vida e as obras de Maria Montessori, inseridas no contexto social, político e econômico da Itália no século XIX e início do século XX; fazer uma releitura dos princípios montessorianos de modo a potencializar tais processos de ensino e aprendizagem da matemática nos anos finais do ensino fundamental, no contexto contemporâneo; selecionar, aplicar e analisar uma proposta de atividades fazendo uso dos princípios montessorianos em uma turma dos anos finais do ensino fundamental de uma escola de Porto Alegre, abordando os conteúdos de produtos notáveis e funções, utilizando tecnologias. Para contextualizar a vida e as obras de Maria Montessori, foram feitas leituras de suas obras e de obras a seu respeito, além de leituras que traçam um panorama da Itália na época em que viveu. Também foram consultadas obras que se utilizem do tripé: matemática, didática e tecnologia. Com isso, foi adquirido conhecimento para selecionar, aplicar e analisar uma proposta de ensino, seguindo os princípios montessorianos e fazendo uso de tecnologias, que poderá ser utilizada por professores de matemática nos anos finais do ensino fundamental. Com a pesquisa, verificou-se que é possível, no contexto contemporâneo de tempo e espaço escolar, manter vivos os princípios montessorianos, de modo que a ação do professor de matemática crie situações de aprendizagem que respeitem a individualidade e o ritmo de cada aluno e que promovam sua autoeducação, sem que se perca a conexão com o outro e com o mundo, na perspectiva de uma educação para a paz. / In 1870, in Italy, Maria Montessori was born. A curious child became a brave woman with ideas ahead of her time. She joined the Medical School, becoming the first woman to complete it throughout Italy. She studied philosophy, experimental psychology and pedagogy at the Faculty of Philosophy of Rome University, returning all her efforts to Education. After writing books and giving lectures on Education, her ideas roam the planet and are now used in several schools in different countries. It can be seen in these schools that, at some point in the school life, there is a rupture of Montessori’s ideas, when they stop being used, usually in the early years of elementary school. The aim of this work is to present the research that had as its guiding question: is it possible to make a rereading of Montessori’s approach in order to address some contents that are worked in the final years of elementary school in mathematics? Faced with this question, the following objectives were listed: contextualize life and work of Maria Montessori, inserted in the social, political and economic development of Italy in the nineteenth and early twentieth century; make a rereading of Montessori’s principles in order to enhance these processes of teaching and learning of mathematics in the final years of elementary school, in the contemporary context; select, implement and analyze a proposal of activities making use of Montessori’s principles in a class of final years of elementary education at a school in Porto Alegre, addressing the contents of remarkable products and functions, using technology. To contextualize the life and the work of Maria Montessori, were made readings of her works and of works about her, and readings painting a panorama of Italy at the time in which she lived. Were also consulted works that use the tripod: mathematics, teaching and technology. With these, it was acquired knowledge to select, implement and analyze an educational proposal, following the Montessori’s principles and making use of technologies that can be applied by math teachers in the final years of elementary school. Through this research, it was verified that it is possible, in the contemporary context of time and school space, to keep alive the Montessori’s principles, so that the math teacher's action creates learning situations that respect the individuality and the rhythm of each student and promotes his self-education, without losing the connection with each other and with the world, in a perspective of education for peace.

Em 1870, na Itália, nasce Maria Montessori. De uma criança e adolescente curiosa, surge uma mulher corajosa e com ideias à frente de seu tempo. Ingressa na Faculdade de medicina, tornando-se a primeira mulher a concluí-la em toda a Itália. Estuda filosofia, psicologia experimental e pedagogia na Faculdade de Filosofia da Universidade de Roma, voltando todos os seus esforços para a Educação. Após escrever livros e ministrar palestras sobre Educação, suas ideias percorrem o planeta e, hoje, são utilizadas em várias escolas, em diferentes países. Percebe-se nessas escolas que, em algum momento da vida do escolar, ocorre uma ruptura das ideias montessorianas, que param de ser usadas, normalmente, nos anos iniciais do ensino fundamental. O objetivo deste trabalho é apresentar a pesquisa que teve como questão norteadora: é possível fazer uma releitura da perspectiva montessoriana de modo a abordar alguns conteúdos que são trabalhados nos anos finais do ensino fundamental na disciplina de matemática? Diante de tal questão, foram elencados os seguintes objetivos: contextualizar a vida e as obras de Maria Montessori, inseridas no contexto social, político e econômico da Itália no século XIX e início do século XX; fazer uma releitura dos princípios montessorianos de modo a potencializar tais processos de ensino e aprendizagem da matemática nos anos finais do ensino fundamental, no contexto contemporâneo; selecionar, aplicar e analisar uma proposta de atividades fazendo uso dos princípios montessorianos em uma turma dos anos finais do ensino fundamental de uma escola de Porto Alegre, abordando os conteúdos de produtos notáveis e funções, utilizando tecnologias. Para contextualizar a vida e as obras de Maria Montessori, foram feitas leituras de suas obras e de obras a seu respeito, além de leituras que traçam um panorama da Itália na época em que viveu. Também foram consultadas obras que se utilizem do tripé: matemática, didática e tecnologia. Com isso, foi adquirido conhecimento para selecionar, aplicar e analisar uma proposta de ensino, seguindo os princípios montessorianos e fazendo uso de tecnologias, que poderá ser utilizada por professores de matemática nos anos finais do ensino fundamental. Com a pesquisa, verificou-se que é possível, no contexto contemporâneo de tempo e espaço escolar, manter vivos os princípios montessorianos, de modo que a ação do professor de matemática crie situações de aprendizagem que respeitem a individualidade e o ritmo de cada aluno e que promovam sua autoeducação, sem que se perca a conexão com o outro e com o mundo, na perspectiva de uma educação para a paz. / In 1870, in Italy, Maria Montessori was born. A curious child became a brave woman with ideas ahead of her time. She joined the Medical School, becoming the first woman to complete it throughout Italy. She studied philosophy, experimental psychology and pedagogy at the Faculty of Philosophy of Rome University, returning all her efforts to Education. After writing books and giving lectures on Education, her ideas roam the planet and are now used in several schools in different countries. It can be seen in these schools that, at some point in the school life, there is a rupture of Montessori’s ideas, when they stop being used, usually in the early years of elementary school. The aim of this work is to present the research that had as its guiding question: is it possible to make a rereading of Montessori’s approach in order to address some contents that are worked in the final years of elementary school in mathematics? Faced with this question, the following objectives were listed: contextualize life and work of Maria Montessori, inserted in the social, political and economic development of Italy in the nineteenth and early twentieth century; make a rereading of Montessori’s principles in order to enhance these processes of teaching and learning of mathematics in the final years of elementary school, in the contemporary context; select, implement and analyze a proposal of activities making use of Montessori’s principles in a class of final years of elementary education at a school in Porto Alegre, addressing the contents of remarkable products and functions, using technology. To contextualize the life and the work of Maria Montessori, were made readings of her works and of works about her, and readings painting a panorama of Italy at the time in which she lived. Were also consulted works that use the tripod: mathematics, teaching and technology. With these, it was acquired knowledge to select, implement and analyze an educational proposal, following the Montessori’s principles and making use of technologies that can be applied by math teachers in the final years of elementary school. Through this research, it was verified that it is possible, in the contemporary context of time and school space, to keep alive the Montessori’s principles, so that the math teacher's action creates learning situations that respect the individuality and the rhythm of each student and promotes his self-education, without losing the connection with each other and with the world, in a perspective of education for peace.

Although the Technological Pedagogical Content Knowledge (TPACK) framework has shown a lot of promise as a theoretical perspective, researchers find it difficult to use it in particular environments because the requirements of the framework change in specific contexts. The purpose of this study was to explore and produce more flexible ways of using the TPACK for inservice mathematics secondary teachers. Three such teachers at an urban public school were observed in their classrooms and interviewed about their experiences of teaching mathematics and integrating computer technology in their day-to-day activities. Each participant had over 10 years experience in teaching mathematics in secondary schools in Ontario, and expertise in using computers in mathematics curriculum. The research questions were: 1) How do secondary school mathematics teachers describe their ways of integrating technology? 2) What difficulties do teachers have when they try to integrate technology into mathematics classrooms? The findings from the first research question show that teachers displayed a high degree of integration of technology. Their activities were very clearly designed, conferring clear roles to the use of integrating computer technology in mathematics classes. Teachers had specific approaches to integrate computer technology: a) to allow students opportunities to learn and experiment with their mathematical knowledge; b) to help them pass the content to the students in the process of teaching mathematics; and c) to assess and evaluate students’ work, and give them feedback. The findings from the second research question reveal that teachers had difficulties in purchasing and maintaining the computer equipment. They had some difficulties in trying to integrate new technologies as these required time, preparation, and dedication. In addition, teachers had some difficulties in making students use computers in a significant way. The implication for teacher education is that inservice teachers should have opportunities to update their computer and pedagogical skills, a long term perspective in integrating technology in mathematics education, and professional and technical support from teaching colleagues and administrators. Finally, the integration of computer technology in mathematics requires more intensive teamwork and collaboration between teachers, technical support staff, and administrators.

Although the Technological Pedagogical Content Knowledge (TPACK) framework has shown a lot of promise as a theoretical perspective, researchers find it difficult to use it in particular environments because the requirements of the framework change in specific contexts. The purpose of this study was to explore and produce more flexible ways of using the TPACK for inservice mathematics secondary teachers. Three such teachers at an urban public school were observed in their classrooms and interviewed about their experiences of teaching mathematics and integrating computer technology in their day-to-day activities. Each participant had over 10 years experience in teaching mathematics in secondary schools in Ontario, and expertise in using computers in mathematics curriculum. The research questions were: 1) How do secondary school mathematics teachers describe their ways of integrating technology? 2) What difficulties do teachers have when they try to integrate technology into mathematics classrooms? The findings from the first research question show that teachers displayed a high degree of integration of technology. Their activities were very clearly designed, conferring clear roles to the use of integrating computer technology in mathematics classes. Teachers had specific approaches to integrate computer technology: a) to allow students opportunities to learn and experiment with their mathematical knowledge; b) to help them pass the content to the students in the process of teaching mathematics; and c) to assess and evaluate students’ work, and give them feedback. The findings from the second research question reveal that teachers had difficulties in purchasing and maintaining the computer equipment. They had some difficulties in trying to integrate new technologies as these required time, preparation, and dedication. In addition, teachers had some difficulties in making students use computers in a significant way. The implication for teacher education is that inservice teachers should have opportunities to update their computer and pedagogical skills, a long term perspective in integrating technology in mathematics education, and professional and technical support from teaching colleagues and administrators. Finally, the integration of computer technology in mathematics requires more intensive teamwork and collaboration between teachers, technical support staff, and administrators.

Made available in DSpace on 2016-06-02T19:42:34Z (GMT). No. of bitstreams: 1 ZERAIK_Suelen_2014.pdf: 1988734 bytes, checksum: a26ac8aa825beb1bdee46245fbf17a64 (MD5) Previous issue date: 2014-12-10 / Financiadora de Estudos e Projetos / The purpose of this research is to understand the formative process developed in a group of mathematics teachers guided in the use of computers inclusion in their pedagogical practices. The question that guided the development of the research was: What are characteristics emerge from the formative process in a collaborative group of mathematics teachers to use computers in their teaching? This research is qualitative, of type participant observation. The data collection was carried out face of meetings a collaborative group of math study entitled Collaborative Study in Mathematics Education Group (CSMEG). Discussions of audio recorded meetings were used; oral and written narratives on the teaching practice; activity of scripts built out from the work proposal with the use of information technology and e-mails from the group on the profile and individual graduation and the sharing activities. For the analysis, we used the theoretical reference on teacher education, especially on reflective practice, collaborative groups and information technology in mathematics teaching. The reading of the data allowed to establish a guiding axis that highlights aspects of content and reflexive dynamics found both in the preparation of mathematical activities and in developing classroom environments with computer technology. From the discussion of the shaft were constructed three categories of analysis: 1. The computer technology insertion on collaborative group; 2. The computer technology insertion on mathematics education; and 3 Reflective practices on collaborative group. The results indicate that the pedagogical practice needs to be the starting point of reflective learning process, as shown in the proposed content and collective choices of the group during construction activities. The computer technology insertion's potentiality of visualizing and development of activities help on exploiting and relations of mathematical concepts. The elaboration of activities with the use of computer technology directed to individual interests contribute to the redefinition of the mathematical concepts and knowledge of the practice. Moreover, the reflective discussions that permeated the elaborations of the activities with the use of computer helped the teachers analyze and build meaningful activities with a look at content, to the student and to their knowledge. / O objetivo dessa pesquisa é compreender o processo formativo desenvolvido em um grupo de professores de matemática pautados na inserção do uso da informática em suas práticas pedagógicas. A questão que norteou o desenvolvimento da pesquisa foi: Quais as características que emergem do processo formativo em um grupo colaborativo de professores de matemática para utilizarem o computador na sua prática pedagógica? Esta pesquisa é qualitativa, do tipo observação participante. A coleta de dados se deu a partir dos encontros presenciais de um grupo colaborativo de estudo de matemática intitulado Grupo Colaborativo de Estudos em Educação Matemática (GCEEM). Foram utilizadas as discussões audiogravadas dos encontros; narrativas orais e escritas sobre a prática docente; roteiros de atividade construídos a partir da proposta de trabalho com o uso da informática e e-mails do grupo sobre o perfil e formação individual dos participantes e o compartilhamento das atividades. Para a análise foram utilizados o referencial teórico sobre formação de professores, em especial sobre prática reflexiva, grupos colaborativos e a tecnologia da informática no ensino de matemática. A leitura dos dados permitiu estabelecer um eixo norteador que destaca os aspectos de conteúdo e dinâmicas reflexivas encontradas tanto na elaboração das atividades matemáticas quanto no desenvolvimento em ambientes de sala de aula com a tecnologia de informática. A partir da discussão do eixo construímos três categorias de análise: 1. A inserção da informática no grupo colaborativo; 2. A inserção da informática no ensino de matemática e 3. Práticas reflexivas no grupo colaborativo. Os resultados indicam que a prática pedagógica necessita ser o ponto inicial do processo formativo reflexivo, como apresentado nas propostas de conteúdos e opções coletivas do grupo durante a construção das atividades. A potencialidade da inserção da informática para a visualização e desenvolvimento de atividades auxiliam nas explorações e relações dos conceitos matemáticos. A elaboração de atividades com o uso da informática direcionadas aos interesses individuais contribuem para a ressignificação dos conceitos matemáticos e para os conhecimentos da prática. As discussões reflexivas que permearam as elaborações das atividades com o uso da informática contribuíram para que os professores analisassem e construíssem atividades significativas com um olhar para o conteúdo, para o aluno e para seus saberes

Made available in DSpace on 2016-04-27T16:58:35Z (GMT). No. of bitstreams: 1 Flavio Pereira da Cruz.pdf: 2297186 bytes, checksum: e42d3730b92eeee2b7c7f4a9b7c71ab5 (MD5) Previous issue date: 2008-02-15 / Secretaria da Educação do Estado de São Paulo / This dissertation aims to analyze how the collection Mathematics and Reality approaches argumentation and proof when it refers to the Fundamental Theorem of Arithmetic and the Theorem of Pythagoras. It s inserted in the Project AProvaME (Argumentation and Proof in School Mathematics) that proposes the investigation of conceptions of argumentation and proof in the teaching of mathematics in schools in the state of São Paulo and to form a group of researchers to elaborate situations of learning involving arguments and proof to be investigated in the classroom. The analysis of the collection, in our research, is based on the work done by BALACHEFF et. al. (2001) which presents possible activities that may involve argumentation and proof classifying them into various types and levels. We have used this classification, when it refers to the Fundamental Theorem of Arithmetic and the Theorem of Pythagoras, to consider the theoretical text and the respective exercises presented in the collection that are related to argumentation and proof. We have noticed that the proposed activities may basically be classified as "tasks of initiation to proof." We conclude, in our analysis, that the collection is not designed to work with argumentation and proof to develop such skills in students when presenting the Fundamental Theorem of Arithmetic and the Theorem of Pythagoras, and also when proposing its activities. We propose, at the end of our work, dynamic activities that may complement those that are present in the collection, aiming to help in the development of new approaches on argumentation and proof in the classroom / Este trabalho tem o objetivo de analisar como a coleção Matemática e Realidade aborda argumentação e prova quando trata do Teorema Fundamental da Aritmética e do Teorema de Pitágoras. Ele está inserido no projeto AProvaME - (Argumentação e Prova na Matemática Escolar) que propõe a investigação de concepções de argumentação e prova no ensino de matemática em escolas do estado de São Paulo e formar grupo de pesquisadores para elaborar situações de aprendizagem envolvendo argumentação e prova para serem investigadas em sala de aula. A análise da coleção, em nossa pesquisa, tem como fundamento o trabalho desenvolvido por BALACHEFF et. al. (2001) que apresenta possíveis atividades que possam envolver argumentação e prova classificando-as em vários tipos e níveis. Utilizamos esta classificação para analisar, quando trata do Teorema Fundamental da Aritmética e do Teorema de Pitágoras, o texto teórico e os respectivos exercícios apresentados na coleção e que estejam relacionados com argumentação e prova. Constatamos que são propostas basicamente atividades que podem ser classificadas como de tarefas de iniciação a prova . Concluímos, em nossa análise, que a coleção não visa o trabalho com argumentação e prova para desenvolver tais competências nos alunos quando apresenta os temas Teorema Fundamental da Aritmética e Teorema de Pitágoras e também quando propõe as respectivas atividades. Propomos ao final de nosso trabalho, atividades dinâmicas que podem complementar as que estão presentes na coleção, com o propósito de contribuir na elaboração de novas abordagens sobre argumentação e prova em sala de aula