Relações entre os conhecimentos, as atitudes e a confiança dos alunos do curso de licenciatura em Matemática em resolução de problemas geométricos
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Data
2008-12-19
Autores
Nascimento, Andréia Aparecida da Silva Brito [UNESP]
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Editor
Universidade Estadual Paulista (Unesp)
Resumo
A presente pesquisa teve por objetivo investigar as relações entre os conhecimentos geométricos, as atitudes em relação à geometria e a confiança dos graduandos de um curso de Licenciatura em Matemática. Nesse sentido o problema de pesquisa foi: Quais as relações entre as atitudes em relação à geometria, a confiança em solução de problemas geométricos e os conhecimentos declarativos e procedimentos referentes à geometria plana? Em decorrência desse problema foram trabalhados na investigação quatro questões de pesquisa. São elas: 1) Existe relação entre a atitude referente à geometria e o domínio dos conhecimentos geométricos?; 2) Existe relação entre a confiança em solução de problemas geométricos e os conhecimentos em geometria?; 3) Existe relação entre a confiança em solução de problemas geométricos e a atitude referente á geometria?; e 4) Quais as principais dificuldades apresentadas por futuros professores de matemática na resolução de problemas envolvendo conceitos geométricos, tais como congruência e semelhança de triângulos; o triângulo retângulo e as relações métricas no triângulo retângulo; área e equivalência de triângulos? Foram participantes da pesquisa 71 alunos de um curso de Licenciatura em Matemática de uma Universidade Pública do Estado de São Paulo do Estado de São Paulo. Para a coleta de dados foram utilizados diversos instrumentos, dentre eles: escala de atitudes em relação à geometrira, 3 provas de conhecimento de geometria plana com questões dissertativas, 3 testes de confiança relacioados às provas de conhecimento de geometria plana, e um questionário informativo. A análise dos dados mostrou correlação das atitudes com relação á geometria com o desempenho global nas provas de conhecimentos geométricos e com a confiança global em solução de problemas geométricos. Foram verificadas diferenças...
This study aimed to investigate the relationship between the geometric knowledge, the attitude toward the geometry and the confidence of graduating from a course in Bachelor of Mathematics. In this sense the problem of search was: What are the links between attitudes towards geometry, confidence in problem-solving geometric and knowledge reporting and procedural relating to the geometry flat? Due to this problem have been worked four issues of research on the inquiry. They are: 1) Is there a relationship between the attitude on the geometry and the thorough of geometric knowledge?; 2) Is there a relationship between confidence in problem-solving geometric and knowledge in geometry?; 3) Is there a relationship between confidence in problem-solving geometric and attitude on the geometry?, and 4) What ate the main difficulties faced by prospective teachers of Mathematics to solve problems involving geometric concepts such as congruency and similarity of triangles, the rectangle and triangle and metric relations in the triangle rectangle; area and equivalence of triangles? Participants in search were 71 students of a course in Bachelor of Mathematic from a Public University of São Paulo State. For data collection were used various instruments, among them: scale of attitudes towards geometry, 3 proof of knowledge of flat geometry with descant issues, 3 trust tests related to evidence of knowledge of plane geometry and a questionnaire for information. The analyses data showed correlation of attitude with regard to the geometry with the overall performance in tests of geometric knowledge and confidence with the overall solution of geometric problems. There were significant differences in the gender factor, and that both, the attitudes as the confidence and performance were more positive for the male participants in relation to female participants. On the performance... (Complete abstract click electronic access below)
This study aimed to investigate the relationship between the geometric knowledge, the attitude toward the geometry and the confidence of graduating from a course in Bachelor of Mathematics. In this sense the problem of search was: What are the links between attitudes towards geometry, confidence in problem-solving geometric and knowledge reporting and procedural relating to the geometry flat? Due to this problem have been worked four issues of research on the inquiry. They are: 1) Is there a relationship between the attitude on the geometry and the thorough of geometric knowledge?; 2) Is there a relationship between confidence in problem-solving geometric and knowledge in geometry?; 3) Is there a relationship between confidence in problem-solving geometric and attitude on the geometry?, and 4) What ate the main difficulties faced by prospective teachers of Mathematics to solve problems involving geometric concepts such as congruency and similarity of triangles, the rectangle and triangle and metric relations in the triangle rectangle; area and equivalence of triangles? Participants in search were 71 students of a course in Bachelor of Mathematic from a Public University of São Paulo State. For data collection were used various instruments, among them: scale of attitudes towards geometry, 3 proof of knowledge of flat geometry with descant issues, 3 trust tests related to evidence of knowledge of plane geometry and a questionnaire for information. The analyses data showed correlation of attitude with regard to the geometry with the overall performance in tests of geometric knowledge and confidence with the overall solution of geometric problems. There were significant differences in the gender factor, and that both, the attitudes as the confidence and performance were more positive for the male participants in relation to female participants. On the performance... (Complete abstract click electronic access below)
Descrição
Palavras-chave
Geometria plana, Matemática, Flat geometry
Como citar
NASCIMENTO, Andréia Aparecida da Silva Brito. Relações entre os conhecimentos, as atitudes e a confiança dos alunos do curso de licenciatura em Matemática em resolução de problemas geométricos. 2008. 182 f. Dissertação (mestrado) - Universidade Estadual Paulista, Faculdade de Ciências, 2008.