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Explorar padrões e sequências: a construção do pensamento algébrico no 5.º ano
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| 3.84 MB | Adobe PDF |
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Abstract(s)
O Relatório Final resulta de uma investigação de caráter qualitativo, descritivo e interpretativo, realizada numa turma do 5.º ano do 2.º Ciclo do Ensino Básico (CEB), no âmbito da unidade curricular de Prática Educativa II, parte integrante do Mestrado em Ensino do 1.º CEB e Matemática e Ciências Naturais no 2.º CEB. A investigação teve como principal objetivo promover o desenvolvimento do Pensamento Algébrico nos alunos. Além disso, o documento apresenta uma reflexão crítica e fundamentada sobre o estágio realizado no 2.º CEB, destacando o seu impacto no crescimento pessoal e profissional da futura professora. Dessa forma, o Relatório Final organiza-se em duas partes fundamentais: a Contextualização e Análise do Contexto de Estágio em 2.º CEB e a Componente Investigativa.
Na Componente Investigativa, o estudo foi norteado pela seguinte questão: De que forma a utilização de tarefas envolvendo situações problemáticas pode contribuir para o desenvolvimento do pensamento algébrico nos alunos do 5.º ano de escolaridade? A relevância do Pensamento Algébrico reside no facto de ser essencial para uma aprendizagem mais sólida e integrada da Matemática. Para responder a essa questão, foram traçados os seguintes objetivos: Conceber e implementar tarefas que integrem situações problemáticas relacionadas ao pensamento algébrico; Analisar as produções dos alunos, identificando conceitos e processos associados ao pensamento algébrico; Examinar as estratégias de resolução de problemas adotadas pelos alunos, evidenciando conexões matemáticas e criatividade; Identificar as dificuldades enfrentadas pelos alunos na resolução de tarefas voltadas ao pensamento algébrico.
As tarefas propostas aos alunos revelaram a presença de conexões internas e externas no domínio da matemática, promovendo múltiplas aprendizagens. Em suma, o estudo contribui para aprofundar a compreensão sobre como atividades bem estruturadas podem potencializar o desenvolvimento do Pensamento Algébrico e enriquecer a prática pedagógica na disciplina de Matemática.
The Final Report results from a qualitative, descriptive, and interpretative investigation conducted in a 5th-grade class of the 2nd Cycle of Basic Education (CBE), within the scope of the course unit Educational Practice II, part of the Master's program in Teaching for the 1st CBE and Mathematics and Natural Sciences in the 2nd CBE. The primary goal of this investigation was to promote the development of Algebraic Thinking in students. Furthermore, the document presents a critical and well-founded reflection on the internship conducted in the 2nd CEB, highlighting its impact on the personal and professional growth of the future teacher. Thus, the Final Report is organized into two main sections: Contextualization and Analysis of the Internship Context in the 2nd CBE and the Investigative Component. In the Investigative Component, the study was guided by the following research question: How can the use of tasks involving problem situations contribute to the development of algebraic thinking in 5th-grade students? The relevance of Algebraic Thinking lies in its essential role in fostering a more robust and integrated understanding of Mathematics. To address this question, the following objectives were outlined: Design and implement tasks that integrate problem situations related to algebraic thinking; Analyse students’ work, identifying concepts and processes associated with algebraic thinking; Examine the problem-solving strategies adopted by students, highlighting mathematical connections and creativity; Identify the challenges faced by students in solving tasks focused on algebraic thinking. The tasks proposed to the students revealed the presence of internal and external connections within the mathematical domain, promoting learning linked to various forms of literacy. In summary, the study contributes to a deeper understanding of how well-structured activities can enhance the development of Algebraic Thinking and enrich pedagogical practice in Mathematics.
The Final Report results from a qualitative, descriptive, and interpretative investigation conducted in a 5th-grade class of the 2nd Cycle of Basic Education (CBE), within the scope of the course unit Educational Practice II, part of the Master's program in Teaching for the 1st CBE and Mathematics and Natural Sciences in the 2nd CBE. The primary goal of this investigation was to promote the development of Algebraic Thinking in students. Furthermore, the document presents a critical and well-founded reflection on the internship conducted in the 2nd CEB, highlighting its impact on the personal and professional growth of the future teacher. Thus, the Final Report is organized into two main sections: Contextualization and Analysis of the Internship Context in the 2nd CBE and the Investigative Component. In the Investigative Component, the study was guided by the following research question: How can the use of tasks involving problem situations contribute to the development of algebraic thinking in 5th-grade students? The relevance of Algebraic Thinking lies in its essential role in fostering a more robust and integrated understanding of Mathematics. To address this question, the following objectives were outlined: Design and implement tasks that integrate problem situations related to algebraic thinking; Analyse students’ work, identifying concepts and processes associated with algebraic thinking; Examine the problem-solving strategies adopted by students, highlighting mathematical connections and creativity; Identify the challenges faced by students in solving tasks focused on algebraic thinking. The tasks proposed to the students revealed the presence of internal and external connections within the mathematical domain, promoting learning linked to various forms of literacy. In summary, the study contributes to a deeper understanding of how well-structured activities can enhance the development of Algebraic Thinking and enrich pedagogical practice in Mathematics.
Description
Keywords
Pensamento Algébrico Padrões Sequências 2.º CEB Conexões Matemáticas Tarefas Algebraic Thinking Patterns Sequences 2nd CBE Mathematical Connections Tasks