SISTEMAS DE EQUAÇÕES LINEARES: CONTRIBUIÇÕES DE UMA SEQUÊNCIA DIDÁTICA À LUZ DA TEORIA DE REGISTROS DE REPRESENTAÇÕES SEMIÓTICAS

• Autor(a) principal: Silva, Carolina Ferreira da
• Data de Publicação: 2021
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Repositório Institucional Universidade Franciscana
• Texto Completo: http://www.tede.universidadefranciscana.edu.br:8080/handle/UFN-BDTD/975
• topic: Representação Semiótica. Resolução de Problemas. Ensino de Matemática. Álgebra. Sistemas de Equações Lineares.; Semiotic Representation. Problem solving. Mathematics teaching. Algebra. Systems of Linear Equations.; Ensino de Ciências e Matemática

The present research is of qualitative nature and has as general objective: to investigate the contributions of a didactic sequence for the teaching and learning of Systems of Linear Equations, in the light of the Theory of Semiotic Representation, applied to students of a course of Degree in Mathematics. The theoretical and methodological references that support this research are based on the Theory of Records of Semiotic Representations and Problem Solving, respectively, which provided the basis for the construction of the proposed didactic sequence. Thus, it was proposed to the research participants a sequence with ten problems on the content of Systems of Linear Equations, with the intention that the students solve the problems crossing between the records of natural, algebraic and graphical language. As instruments of data collection, the field diary, the records of the resolutions of the research participants, and a questionnaire were used in order to verify the perceptions that the participants had in relation to the proposed didactic sequence. We conclude that most students were able to move at least between two different types of representations of the same mathematical object, so that there were no major difficulties in the conversions and treatments in algebraic resolutions, thus building mathematical knowledge on the subject studied. However, they presented weaknesses and dependence on software for the graphical representation of linear systems. We also pointed out small difficulties related to the interpretation of problems in natural language.