Tecnologia e modelação matemática: enfrentando desafios, abrindo portas
DOI:
https://doi.org/10.48489/quadrante.23710Palavras-chave:
modelação, mundo real, simulação, dinâmica do sistema, tecnologiaResumo
No que se refere a atingir objetivos educacionais, a tecnologia tem impacto na natureza do desempenho matemático, tanto no seu alcance como no seu propósito. Fazemos uma revisão da utilização da tecnologia, real e potencial, no âmbito da modelação matemática, entendida como resolução de problemas do mundo real. Consideramos o seu papel ao longo do processo completo de modelação, bem como a sua forma de utilização no contexto de problemas concretos, ilustrando situações em que a utilização inadequada da tecnologia provoca perturbações na atividade de modelação, bem como outras em que o seu uso criterioso pode aumentar o poder e a acessibilidade dos modelos para novos públicos. Em seguida, demonstramos como a tecnologia permite o acesso a modelos que ficariam indisponíveis se apenas fossem usados métodos manuais de resolução. Neste caso, a não linearidade e a simultaneidade que têm lugar entre as relações do modelo indicam que as equações do modelo têm de ser primeiro desenvolvidas, parametrizadas e, em seguida, resolvidas por simulação. Os métodos fornecidos pela Teoria de Sistemas Dinâmicos são assim ilustrados, considerando o problema de fornecer água potável a uma população que cresce num ambiente que se torna mais quente, com reservas de água limitadas.
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