A carregar...
Publicação
RELATÓRIO DE ESTÁGIO: AS COMPETÊNCIAS DOS ALUNOS NA RESOLUÇÃO DE PROBLEMAS SOBRE FUNÇÕES QUADRÁTICAS
| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 6.92 MB | Adobe PDF |
Autores
Orientador(es)
Resumo(s)
Durante o ano letivo 2024/2025 foi elaborado o presente documento, que está dividido em
duas partes. A Parte I apresenta a prática de ensino desenvolvida ao longo do estágio, incluindo
momentos vivenciados na escola, a par de uma reflexão sobre toda a experiência. A Parte II é
dedicada à investigação desenvolvida com alunos da turma do 10.º ano de escolaridade, no âmbito
das funções quadráticas.
Esta investigação procurou compreender como as competências matemáticas são
mobilizadas nos problemas por alunos com diferentes níveis de aproveitamento durante a
resolução de problemas. De forma a atingir o objetivo de investigação, foram consideradas as
seguintes questões:
1. De que forma se caracteriza o processo de resolução de problemas sobre funções
quadráticas por alunos com diferentes níveis de aproveitamento?
2. De que forma se caracterizam as competências matemáticas mobilizadas por alunos
com diferentes níveis de aproveitamento durante o estudo de funções quadráticas?
3. Como é que as competências matemáticas se relacionam com o processo de resolução
de problemas durante o estudo de funções quadráticas?
O estudo segue uma metodologia de investigação qualitativa, assente em três estudos de
caso, analisando as competências dos pares de alunos na resolução de problemas. As conclusões
deste estudo expõem como os pares de diferentes níveis de aproveitamento mobilizam as
competências matemáticas na resolução de problemas. Nos resultados, pode observar-se que os
alunos com níveis de aproveitamento médios e médios-baixos mobilizam, por vezes, mais
competências nas diferentes fases de resolução de problemas do que os alunos com desempenho
mais elevado. Ao longo da análise dos dados verifica-se uma relação de interdependência entre as
competências matemáticas e a resolução de problemas, refletindo diferentes estilos de trabalho,
raciocínios e preferências de métodos de resolução de problemas. Estes resultados mostraram que
os alunos com melhor aproveitamento não se destacaram na resolução de problemas como em
tarefas rotineiras, o que reforça a importância de práticas de ensino que valorizem o raciocínio e o
uso consciente da tecnologia.
During the 2024/2025 school year, this document was prepared, which is divided into two parts. Part I presents the teaching practice developed throughout the internship, including experiences at school, alongside a reflection on the whole experience. Part II is dedicated to the research carried out with students from the 10th-grade class within the scope of quadratic functions. The research aimed to understand how mathematical skills are characterized during problem- solving by students with different levels of knowledge. To achieve the objective, the following research questions were considered: 1. How is the problem-solving process related to quadratic functions characterized in students with distinct levels of knowledge? 2. How are the mathematical competencies related to quadratic functions characterized in students with distinct levels of knowledge? 3. How are mathematical competencies related to problem-solving process? The study follows a qualitative research methodology, based on three case studies, analyzing the competencies of student pairs in problem solving. The conclusions of this study expose how pairs of different levels of knowledge mobilize mathematical competencies. In the results, it can be observed that students with medium and medium-low levels of knowledge sometimes mobilize more competencies in the different phases of problem solving than students with higher performance level. Throughout the data analysis, there is an interdependent relationship between mathematical competencies and problem solving, reflecting different work styles, reasoning and preferences of problem-solving methods. These results agree with many others, showing that students with better performance do not excel in problem solving as in a routine task, reinforcing the importance of teaching practices that value reasoning and conscious use of technology
During the 2024/2025 school year, this document was prepared, which is divided into two parts. Part I presents the teaching practice developed throughout the internship, including experiences at school, alongside a reflection on the whole experience. Part II is dedicated to the research carried out with students from the 10th-grade class within the scope of quadratic functions. The research aimed to understand how mathematical skills are characterized during problem- solving by students with different levels of knowledge. To achieve the objective, the following research questions were considered: 1. How is the problem-solving process related to quadratic functions characterized in students with distinct levels of knowledge? 2. How are the mathematical competencies related to quadratic functions characterized in students with distinct levels of knowledge? 3. How are mathematical competencies related to problem-solving process? The study follows a qualitative research methodology, based on three case studies, analyzing the competencies of student pairs in problem solving. The conclusions of this study expose how pairs of different levels of knowledge mobilize mathematical competencies. In the results, it can be observed that students with medium and medium-low levels of knowledge sometimes mobilize more competencies in the different phases of problem solving than students with higher performance level. Throughout the data analysis, there is an interdependent relationship between mathematical competencies and problem solving, reflecting different work styles, reasoning and preferences of problem-solving methods. These results agree with many others, showing that students with better performance do not excel in problem solving as in a routine task, reinforcing the importance of teaching practices that value reasoning and conscious use of technology
Descrição
Palavras-chave
Resolução de Problemas Competências Matemáticas Funções Quadráticas Ensino Secundário