O ensino de matemática em duas escolas profissionalizantes: Brasil e Portugal, no período de 1942 a 1978

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Cálculo mental e a produção do conhecimento matemático

This text presents the research developed with students of the 5th year of elementary school at a public school in the city of Taubaté-SP, involved in solving problems involving the Mental Calculation. The read authors show that the Mental Calculation is relevant for the production of mathematical knowledge as it favors the autonomy of students, making it the most critical. Official documents that guide educational practices, such as the Parâmetros Curriculares Nacionais also emphasize that working with mental arithmetic should be encouraged as it has the potential to encourage the production of mathematical knowledge by the student. In this research work Completion of course the tasks proposed to students, who constituted the fieldwork to production data, were designed, developed and analyzed in a phenomenological approach. The intention, the research was to understand the perception of students in the face of situations that encourage them to implement appropriate technical and mental calculation procedures. We analyze how students express and realize the strategies for mental calculation in the search for solution to problem situations

A construção da ideia de número na educação infantil

This paper seeks to understand-the process by which the child in kindergarten builds the idea of number. Therefore we developed a qualitative study of phenomenological approach that involved field work in the classroom with children of four and five years. Starting from their real-world contexts, their experiences and using the natural language tasks are designed to help the student to go beyond the already known, analyzing how they thinks and what knowledge they bring their lived experience. By interference carried expanded mathematical ideas acquired. The analysis and interpretation of research data shows that the idea of number is built by children from all kinds of relationships created between objects and the world around them, and the more diverse are these experiences, the greater the understanding opportunities and development of mathematical skills and competencies. It showed also that, in kindergarten, children tread just a few ways to build the idea of number

A Avaliação na sala de aula de matemática: práticas e concepções

This research aims to understand the assessment practices used by teachers at a public state school in the city of Cunha, Sao Paulo. To this end, we interviewed five mathematics teachers, who answered a questionnaire with five questions. The responses were analyzed according to the rigor of phenomenological research. To understand the investigation region, that is to say, the meaning of evaluation, we proceeded to a review of studies on the subject in authors like Buriasco (2002), Pavanello (2006), Hoffmann (1994), expressive in Mathematics Education that allows us to explain the concept of prevailing interpretation in the area. The phenomenological analysis enabled the development of three categories open revealing the concept of evaluation of teachers investigated. The first shows the review As a way to measure the knowledge acquired by the student. His interpretation leads us to understand that for some teachers, the research subjects, the assessment becomes a method to ' measure ' the knowledge acquired by the student. The second category, expressed by As a way of understanding the student's behavior in class, shows that some of the interviewees understand the evaluation as a medium that reveals and appreciates the ways of the student behave in class. Finally, the third category refers to the evaluation by means of said instruments. On this subject the claim that the assessment is through instruments such that: evidence, exercise lists, among others. In summary, interviews and categories analyzed explain the ways in which the assessment reveals the concept of implicit learning the instruments used in the evaluation practices of teachers interviewed. However, the authors read, evaluation is a necessary and permanent teaching job in teaching, which must follow step by step the process of teaching and learning. It follows, ... (Complete abstract click electronic access below)

A aprendizagem do desenho e da escrita: uma experiência com ideogramas japoneses no ensino fundamental

The aim of this paper is to gather research information and studies posted about the importance of social environment in the development of symbolic systems on children. Languages verbal, visual and written are interrelated representation systems, although each one has its own characteristics and elements. The objective of this paper is to elucidate the importance of linking the various existing types of language and therefore the importance of a coordinate approach also in the teaching-learning situations of these systems. The work also intends to disclose how thin is the line that separates writing of drawing, both of them as representative systems. As well as to show how visual information and language are intrinsically linked as thought happens by the connections between them. The work includes the report of an activity with Japanese ideograms done in the author's teacher's training at formal education. It also approaches pictographic, creative and poetic aspects of ideograms that brings up new ways of thinking and representing symbolically just like the methods of artistic language

Mídias na educação matemática: projeto CONDIGITAL

This work aims to understand the multimedia Learning Objects (LO's) developed within the CONDIGITAL project, subsidized by the federal government. The CONDIGITAL aimed to encourage the production and the use of media in teaching in high school classrooms. This work presents a reflection on the contribution of media to the construction of significant learning of student users. The research was conducted through a literature study. Therefore, it was considered the work of some researchers related to the study of the potential of these technologies in education, such as Valente (1995), Tauroco (2007) and Mussoi (2010). These readings made possible to discern some common evaluation criteria that may be used as parameters to analyze the quality of these media as educational tools. The theme of exploration is guided by a research on the motivation of the mentioned project and on its amplitude and its results, which is directed later to the LO's developed by UNICAMP team, particularly in the Mathematics productions developed by the M³ project, some of the which are presented and evaluated in this monograph

A importância da mediação: a situação do professor mediador escolar e comunitário na Rede Estadual Paulista de Ensino

This study aims to analyze the implementation of mediation in the school environment of São Paulo State Education Network through the figure of Teacher School and Community Mediator (PMEC). Mediation arises, as an alternative and effective method for conflict resolution from existing interpersonal relationships at school. The methodology used was the exploratory and empirical research literature on the subject mediation and the analysis of the resolutions of the Secretariat of São Paulo State Education establishing the School Protection System (SPE) and made possible the performance of the PMEC within that environment. Authors like Bonafé-Schmitt (2010); Caetano, Freire and Ferreira (2009); Calcaterra (2002); Freire (2010); Jares (2002); Lederach (1996); Littlejohn and Domenici (1999); Morgado and Oliveira (2009); Torremorell (2008) and Vecchi and Greco (1999) were selected in order to provide greater familiarity with the subject mediation and conflict mediation later in the school environment. The concept of mediation, mediation templates and profiles of mediators will be explained as well as PMEC function features as regards the selection methods training main assisted cases, assignments that are stipulated by the guiding documents and what actually happens in daily practice verified the reports obtained through a semi-structured interview. Finally, we present the PMEC situation regarding the review by the leaders and attended school community and the acceptance of their work within that environment

Algumas técnicas de construção de alguns poliedros e suas aplicações no ensino

Pós-graduação em Matemática em Rede Nacional - IBILCE

Pulsar da Medusa: um experimento de criação cênica e estudo da expressividade do corpo-voz a partir dos fatores do movimento de Rudolf Laban

Pós-graduação em Artes - IA

Cálculo mental e a produção do conhecimento matemático

This text presents the research developed with students of the 5th year of elementary school at a public school in the city of Taubaté-SP, involved in solving problems involving the Mental Calculation. The read authors show that the Mental Calculation is relevant for the production of mathematical knowledge as it favors the autonomy of students, making it the most critical. Official documents that guide educational practices, such as the Parâmetros Curriculares Nacionais also emphasize that working with mental arithmetic should be encouraged as it has the potential to encourage the production of mathematical knowledge by the student. In this research work Completion of course the tasks proposed to students, who constituted the fieldwork to production data, were designed, developed and analyzed in a phenomenological approach. The intention, the research was to understand the perception of students in the face of situations that encourage them to implement appropriate technical and mental calculation procedures. We analyze how students express and realize the strategies for mental calculation in the search for solution to problem situations

A construção da ideia de número na educação infantil

This paper seeks to understand-the process by which the child in kindergarten builds the idea of number. Therefore we developed a qualitative study of phenomenological approach that involved field work in the classroom with children of four and five years. Starting from their real-world contexts, their experiences and using the natural language tasks are designed to help the student to go beyond the already known, analyzing how they thinks and what knowledge they bring their lived experience. By interference carried expanded mathematical ideas acquired. The analysis and interpretation of research data shows that the idea of number is built by children from all kinds of relationships created between objects and the world around them, and the more diverse are these experiences, the greater the understanding opportunities and development of mathematical skills and competencies. It showed also that, in kindergarten, children tread just a few ways to build the idea of number

A Avaliação na sala de aula de matemática: práticas e concepções

This research aims to understand the assessment practices used by teachers at a public state school in the city of Cunha, Sao Paulo. To this end, we interviewed five mathematics teachers, who answered a questionnaire with five questions. The responses were analyzed according to the rigor of phenomenological research. To understand the investigation region, that is to say, the meaning of evaluation, we proceeded to a review of studies on the subject in authors like Buriasco (2002), Pavanello (2006), Hoffmann (1994), expressive in Mathematics Education that allows us to explain the concept of prevailing interpretation in the area. The phenomenological analysis enabled the development of three categories open revealing the concept of evaluation of teachers investigated. The first shows the review As a way to measure the knowledge acquired by the student. His interpretation leads us to understand that for some teachers, the research subjects, the assessment becomes a method to ' measure ' the knowledge acquired by the student. The second category, expressed by As a way of understanding the student's behavior in class, shows that some of the interviewees understand the evaluation as a medium that reveals and appreciates the ways of the student behave in class. Finally, the third category refers to the evaluation by means of said instruments. On this subject the claim that the assessment is through instruments such that: evidence, exercise lists, among others. In summary, interviews and categories analyzed explain the ways in which the assessment reveals the concept of implicit learning the instruments used in the evaluation practices of teachers interviewed. However, the authors read, evaluation is a necessary and permanent teaching job in teaching, which must follow step by step the process of teaching and learning. It follows, ... (Complete abstract click electronic access below)

A aprendizagem do desenho e da escrita: uma experiência com ideogramas japoneses no ensino fundamental

The aim of this paper is to gather research information and studies posted about the importance of social environment in the development of symbolic systems on children. Languages verbal, visual and written are interrelated representation systems, although each one has its own characteristics and elements. The objective of this paper is to elucidate the importance of linking the various existing types of language and therefore the importance of a coordinate approach also in the teaching-learning situations of these systems. The work also intends to disclose how thin is the line that separates writing of drawing, both of them as representative systems. As well as to show how visual information and language are intrinsically linked as thought happens by the connections between them. The work includes the report of an activity with Japanese ideograms done in the author's teacher's training at formal education. It also approaches pictographic, creative and poetic aspects of ideograms that brings up new ways of thinking and representing symbolically just like the methods of artistic language

Mídias na educação matemática: projeto CONDIGITAL

This work aims to understand the multimedia Learning Objects (LO's) developed within the CONDIGITAL project, subsidized by the federal government. The CONDIGITAL aimed to encourage the production and the use of media in teaching in high school classrooms. This work presents a reflection on the contribution of media to the construction of significant learning of student users. The research was conducted through a literature study. Therefore, it was considered the work of some researchers related to the study of the potential of these technologies in education, such as Valente (1995), Tauroco (2007) and Mussoi (2010). These readings made possible to discern some common evaluation criteria that may be used as parameters to analyze the quality of these media as educational tools. The theme of exploration is guided by a research on the motivation of the mentioned project and on its amplitude and its results, which is directed later to the LO's developed by UNICAMP team, particularly in the Mathematics productions developed by the M³ project, some of the which are presented and evaluated in this monograph

A importância da mediação: a situação do professor mediador escolar e comunitário na Rede Estadual Paulista de Ensino

This study aims to analyze the implementation of mediation in the school environment of São Paulo State Education Network through the figure of Teacher School and Community Mediator (PMEC). Mediation arises, as an alternative and effective method for conflict resolution from existing interpersonal relationships at school. The methodology used was the exploratory and empirical research literature on the subject mediation and the analysis of the resolutions of the Secretariat of São Paulo State Education establishing the School Protection System (SPE) and made possible the performance of the PMEC within that environment. Authors like Bonafé-Schmitt (2010); Caetano, Freire and Ferreira (2009); Calcaterra (2002); Freire (2010); Jares (2002); Lederach (1996); Littlejohn and Domenici (1999); Morgado and Oliveira (2009); Torremorell (2008) and Vecchi and Greco (1999) were selected in order to provide greater familiarity with the subject mediation and conflict mediation later in the school environment. The concept of mediation, mediation templates and profiles of mediators will be explained as well as PMEC function features as regards the selection methods training main assisted cases, assignments that are stipulated by the guiding documents and what actually happens in daily practice verified the reports obtained through a semi-structured interview. Finally, we present the PMEC situation regarding the review by the leaders and attended school community and the acceptance of their work within that environment