Reconceitualização das categorias de skemp de compreensão relacional e compreensão instrumental como critérios globais

The thesis presents a systematic description about the meaning, as Skemp, relational understanding and understanding instrumental, in the context of mathematics learning, being that we had as a guide his understanding of the schema. Especially, we analyze some academic productions, in the area of Mathematics Education, who used the categories of understanding relational and instrumental understanding how evaluative instrument and we see that in most cases the analysis is punctual. Being so, whereas the inherent understanding relational schema has a network of connected ideas and non-insulated, we investigated if the global analysis, where it is the understanding of the diversity of contributory concepts for formation of the concept to be learned, is more appropriate than the punctual, where does the understanding of concepts so isolated. For this, we apply a teaching module, having as main content the Quaternos Pythagoreans using History of Mathematics and the work of Bahier (1916). With the data we obtained the teaching module to use the global analysis and the punctual analysis, using research methodology the Case Study, and consequently we conduct our inferences about the levels of understanding of the subject which has made it possible for us to investigate the ownership of global analysis at the expense of punctual analysis. On the opportunity, we prove the thesis that we espouse in the course of the study and, in addition, we highlight as a contribution of our research evidence of need for a teaching of mathematics that entices the relational understanding and that evaluation should be global, being necessary to consider the notion of schema and therefore know the schematic diagram of the concept that will be evaluated

As quatro operações básicas: uma compreensão dos procedimentos algorítmicos

The current research had as main objective to analyze the possibility of knowledge elaboration/re-elaboration about ideas and algorithmic procedures related to basic operations by pupils of the 6th degree fundamental teaching in a significant learning process. This way the study had as basis a methodological intervention developed in a 6th degree class of a Fundamental Teaching Municipal School in the city of João Pessoa, PB. The research had as central steps the application of pre-tests (1 and 2); the execution of semi-structured interviews with the pupils involved in the theme deep studies; the elaboration and development of teaching activities, having as referential the significant learning and the application of a pre-test. The data collected in the pre-tests (1 and 2) showed a low level of the pupils comprehension about the contents related to the four operations. The answers to the post-test questions were analyzed mainly from the qualitative point of view based on the mathematic concepts comprehension theory proposed by Skemp (1980) having as complementary subsidy data collected through interviews. The analysis of the results obtained in the post-test showed that the major part of pupils reached a relational comprehension about the ideas and algorithmic procedures related to addition, subtraction, multiplication, and division. Such results showed us that the application of a teaching methodology that privileges the content comprehension, considering the pupils previous knowledge and the reflection about the action along the activities proposed, made possible the elaboration or re-elaboration of knowledge by pupils regarding to contents adopted as theme for our research

Geometrizando no segundo ciclo :relato de uma intervenção pedagógica voltada à construção de conceitos geométricos no ensino fundamental

This work has proposed to relate the experience product of a pedagogical intervention, performed in a public institution of teaching situated in this capital. It had as objective to validade the applying of a teaching module of geometry, more specifically about the conceptions of perimeter and área in the second cycle of fundamental teaching. This dissertation has presented the problematic which involves the teaching of geometry in different contexts. It has adopted the broach of the radical constructivism while methodological theoretical referencial through which it has tried to explain the phenomena that involves the teaching and the apprenticeship. It appropriates Jean s Piaget contributions related to the development stages, while referencial that will dialogue in the search by sense and comprehension of the geometric apprenticeship process and it runs over Richard s Skemp (1980) theory in order to explicit the student s apprenticeship according to the levels of instrumental comprehesion and relacional comprehension . The research has presented datum related to initial diagnosis evaluantion, the pedagogical intervention and analysis of the activities and students perfomance displaying still the results of the final evaluation. According to the results got, we could check the students group growth front to the acquisition of the concepts of perimeter and área in comparison with the previous knowledges presented in the initial diagnosis evoluation of the students participants of the research. We have concluded evaluating the objectives of the research, connecting the strategies and reasoning employed by the students in order to resolve the questions and then to reach the objectives proposed by the teaching module. We have presented still the main obstacles to the apprenticeship of such concepts

Reflexões sobre a construção e evolução de conceitos geométricos nas séries intermediárias do ensino fundamental

This thesis represents a didactic research linked to the Post-graduation Programme in Education of the Universidade Federal do Rio Grande do Norte which aimed to approach the construction of the geometrical concepts of Volume of the Rectangular Parallelepiped, Area and Perimeter of the Rectangle adding a study of the Area of the Circle. The research was developed along with students from the 6th level of the Elementary School, in a public school in Natal/RN. The pedagogical intervention was made up of three moments: application of a diagnostic evaluation, instrument that enabled the creation of the teaching module by showing the level of the geometry knowledge of the students; introduction of a Teaching Module by Activities aiming to propose a reflexive didactic routing directed to the conceptual construction because we believed that such an approach would favor the consolidation of the learning process by becoming significant to the apprentice, and the accomplishment of a Final Evaluation through which we established a comparison of the results obtained before and after the teaching intervention. The data gathered were analyzed qualitatively by means of a study of understanding categories of mathematical concepts, in addition to using descriptive statistics under the quantitative aspect. Based on the theory of Richard Skemp, about categorization of mathematical knowledge, in the levels of Relational and Instrumental Understanding were achieved in contextual situations and varied proportions, thus enabling a contribution in the learning of the geometrical concepts studied along with the students who took part in the research. We believe that this work may contribute with reflections about the learning processes, a concern which remained during all the stages of the research, and also that the technical competence along with the knowledge about the constructivist theory will condition the implementation of a new dynamics to the teaching and learning processes. We hope that the present research work may add some contribution to the teaching practice in the context of the teaching of Mathematics for the intermediate levels of the Elementary School

Um estudo sobre a aprendizagem de números irracionais no ensino médio

The present study describes theoretical practical relationships between development and application of activities in Mathematics education. It s proposed a methodological approach to Mathematics in the first grade of Ensino Médio, supported by an experiment involving Irrational Numbers education by using constructive activities, applied obeying an educational sequence. Constructivism is used as an important theoretical reference in teaching learning process of Mathematics. The methodological intervention was done with two classes of students of the first grade of Ensino Médio, in two public schools, a state one and a federal one, located on the city of Natal, Rio Grande do Norte. The development, application and testing of the activities used on this experiment led us to think more profoundly about the value of constructivism ideas and understand that the use of activities that obey an educational sequence favors the learning. It s also discussed the research results, commented on a way to contribute to the advances of the proposal and it s more constant use. The participation and testing of the students were analyzed and judged using Skemp s Instrumental Understanding and Relational Understanding concepts. The results of the research were considered good, so we believe this methodological intervention can be used more frequently in the classes of Ensino Médio and also be applied to teachers in courses of initial education and continuous formation

Os currículos praticados no cotidiano da EJA: regulações e emancipações na Escola Centro Educacional Dr. Pedro Amorim

This research has as its object of study practiced in the daily curriculum of Youth and Adults in their midst and considered discussion of the concepts of knowledge as regulation and emancipation. The camp of our research relates to the knowing / doing the teachers of this modality of education, in the Escola Centro Educacional Dr. Amorim-CEPA, the city of Assú/RN and is articulated to the emerging desire to understand how cooperating teachers have thought, organized and practiced the curriculum in order to consider the many complex situations that are present in everyday school life. Our tour was guided by the need to study the relationship between the regulated curriculum and practiced in everyday adult education, as well as to understand, from the knowing / doing of the teachers, the conceptions that guide their teaching practices and, therefore, reflect on this Reality curriculum in order to better signify then. In this sense, we turn to the fundamentals of qualitative research, adopting the procedures of documentary research, participant observation and semi-structured interview, which allowed us to enter a universe of complex dimensions, senses, and that add significant difference, because the forms of use of various practitioners are and unique, in that enroll in school life and define their brand identities. The predominance of a traditional teaching practice nature by a process of training and teaching experience, the lines of flight, volatilities and inventiveness promoted by the circumstances of everyday life are some of the conclusions we draw from the data collected. This reality, we infer that the practice of teachers varies between regulation and emancipation, being this time, many challenges to be faced, namely the process of continuing education, the conceptual understanding of the subject curriculum and the existence of relational different knowing / doing produced, used and created in/from the school routine of Youth and Adults

Um estudo sobre o ensino-aprendizagem das demonstrações matemáticas

Demonstrations are fundamental instruments for Mathematics and, as such, are frequently used by mathematicians, math teachers and students. In fact, demonstrations are part of every Mathematics teaching environment, because Mathematics considers something true when it can be demonstrated. This is in contrast to other fields of knowledge that employ observation and experimentation to validate truth. This dissertation presents a study of the teaching and learning of demonstrations in Mathematics, describing a Teaching Module applied in a course on the Theory of Numbers offered by the Mathematics Department of the Universidade Federal do Rio Grande do Norte for mathematics majors. The objective of the dissertation was to propose and test a Teaching Module that can serve as a model for teaching demonstrations. The Teaching Module consisted of the following five steps: the application of a survey to determine the students‟ profiles and their previous knowledge of mathematical language and techniques of demonstration; the analysis of a series of dialogues containing arguments in everyday language; the investigation and analysis of the structure of some important techniques of demonstration; a written assessment; and, finally, an interview to further verify the principal results of the Teaching Module. The analysis of the data obtained though the classroom activities, written assessments and interviews led to the conclusion that there was a significant amount of assimilation of the issue at the level of relational understanding, (SKEMP, 1980). These instruments verified that the students attained considerable improvement in their use of mathematical language and of the techniques of demonstration presented. Thus, the evidence supports the conclusion that the proposed Teaching Module is an effective means for the teaching/learning of mathematical demonstration and, as such, provides a methodological guide which may lay the foundations for a new approach to this important subject

Dinâmica relacional entre pares de alunos: uma contribuição para a compreensão dos processos de aprendizagem em física utilizando meios computacionais

Dissertação de mestrado em Ciências da Educação: área de Educação e Desenvolvimento

Aprendizado relacional por um modelo neural

As técnicas que formam o campo da Descoberta de Conhecimento em Bases de Dados (DCBD) surgiram devido à necessidade de se tratar grandes volumes de dados. O processo completo de DCBD envolve um elevado grau de subjetividade e de trabalho não totalmente automatizado. Podemos dizer que a fase mais automatizada é a de Mineração de Dados (MD). Uma importante técnica para extração de conhecimentosa partir de dados é a Programação Lógica Indutiva (PLI), que se aplica a tarefas de classificação, induzindo conhecimento na forma da lógica de primeira ordem. A PLI tem demonstrado as vantagens de seu aparato de aprendizado em relação a outras abordagens, como por exemplo, aquelas baseadas em aprendizado proposicional Os seus algorítmos de aprendizado apresentam alta expressividade, porém sofrem com a grande complexidade de seus processos, principalmente o teste de corbertura das variáveis. Por outro lado, as Redes Neurais Artificiais (RNs) introduzem um ótimo desempenho devido à sua natureza paralela. às RNs é que geralmente são "caixas pretas", o que torna difícil a obtenção de um interpretação razoável da estrutura geral da rede na forma de construções lógicas de fácil compreensão Várias abordagens híbridas simbólico-conexionistas (por exemplo, o MNC MAC 890 , KBANN SHA 94 , TOW 94 e o sistema INSS OSO 98 têm sido apresentadas para lidar com este problema, permitindo o aprendizado de conhecimento simbólico através d euma RN. Entretanto, estas abordagens ainda lidam com representações atributo-valor. Neste trabalho é apresentado um modelo que combina a expressividade obtida pela PLI com o desempenho de uma rede neural: A FOLONET (First Order Neural Network).

A comunicação humana: um processo relacional

Neste trabalho aborda-se a comunicação humana como um processo eminentemente relacional. Este enfoque objetiva situar o processo de comunicação a nível humano, como um fenômeno basilar no desenvolvimento da cultura refletindo, desta forma a constante necessidade inerente ao Homem de intercambiar com o meio circundante. Através da análise dos diversos níveis deste processo, bem como das contribuições de vários autores que intentaram elaborar modelos para ele pode-se concluir que por sua estrutura interacional, a comunicação humana é de capital importância para dinamizar as condições de adaptabilidade do ser humano à ambiência neste sentido que a própria conduta do indivíduo, encarada sob a forma de dado informativo dos diversos fenômenos psicológicos que nele se processam poderá ser considerada uma modalidade de mensagem.

A compreensão da atividade pedagógica em uma rede de inter-relações: franquia escolar

Pós-graduação em Educação - IBRC

A influência de Georg Simmel no pensamento social de Ulrich Beck: pela compreensão do conflito no individualismo e nos processos de individualização

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Compreensão da sexualidade por jovens com diagnóstico de deficiência intelectual

The study describes the comprehension of concepts about sexuality by youths diagnosed with intellectual deficiency, during classes on sexual education. The analysis of selected episodes from video transcriptions of five classes (Human Body, Kiss, Flirting, Coitus, Condom/STD) showed: the appropriation and understanding of concepts, partial difficulties of comprehension, and inhibition. The analysis of the transcripts indicated that all students were attentive to the classes, participated in the proposed tasks, and answered the questions. The observed signs of inhibition and the expression of values were similar to those observed in other youngsters, indicating the appropriation of culturally established values. The obtained evidences contrast with mythical visions related to sexuality in these youngsters, and suggest more studies about their competences.

A compreensão do lazer no planejamento urbano de Goiania : aproximações historicas

Universidade Estadual de Campinas. Faculdade de Educação Física

Esporte competitivo : contribuições psicanalíticas e suas implicações para uma compreensão da angústia

Universidade Estadual de Campinas . Faculdade de Educação Física