Passo a passo: simplificando e matematizando o mundo real com o MathCityMap
DOI:
https://doi.org/10.48489/quadrante.23604Palavras-chave:
modelação, matemática em espaços exteriores, ferramentas digitais, MathCityMap, autenticidade, validaçãoResumo
A modelação matemática precisa de ser ensinada em contextos reais. Neste artigo, examinamos o potencial das tarefas que são resolvidas em espaços exteriores, usando a ferramenta digital MathCityMap, para aprender o processo de modelação matemática passo a passo. Do ponto de vista teórico, pode supor-se que estas tarefas têm potencial para impulsionar as etapas “Simplificar/Estruturar” e “Matematizar” de uma forma autêntica. Além disso, presume-se que a ferramenta MathCityMap apoia o processo de modelação por meio de pistas e favorece a validação da solução. Num estudo de caso, comparamos tarefas resolvidas em espaços exteriores com as mesmas tarefas, mas resolvidas na sala de aula, para averiguar até que ponto essas considerações teóricas podem ser confirmadas na prática com o uso do sistema. Os resultados mostram que as tarefas resolvidas em espaços exteriores provocam fortemente a ocorrência da etapa de Simplificar/Estruturar e aumentam a exigência de trabalhar, com a maior precisão possível, na escolha de um modelo e no controlo de erros. Adicionalmente, o sistema MathCityMap permite apoiar, através de pistas, a escolha de um modelo exato, ainda que simplificado, além de fomentar a validação da resposta, mostrando ter potencial para levar os alunos a rever os passos do ciclo de modelação.
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