Exploring the relationship between creativity and creative reasoning in the subject of Differential and Integral Calculus

The study investigates the relationship between creativity and creative reasoning in the context of working with mathematical tasks in the subject of Differential and Integral Calculus. The research explores how these concepts manifest themselves and influence mathematical problem solving, with a qualitative approach and detailed analysis of a task. It highlights creativity as a developable ability and creative reasoning as a process of novelty, flexibility and plausibility. Strategies to stimulate its development in teaching are also discussed. The analysis suggests that encouraging creative reasoning in students, motivating them to explore different approaches and question constraints, promotes a deeper and more innovative understanding of mathematical concepts.