Mathematical Investigations as a Methodological Strategy for Meaningful Learning of Differential and Integral Calculus

• DOI: https://doi.org/10.22533/at.ed.515721226100614

• Palavras-chave: Differential and Integral Calculus. Mathematical Investigations. Meaningful Learning.

• Keywords: Differential and Integral Calculus. Mathematical Investigations. Meaningful Learning.

• Abstract:

  This study addresses the importance of Differential and Integral Calculus (DIC) in higher education programs in Science, Technology, and Engineering, highlighting the complexity of teaching and learning this content, which has often proven to be meaningless, prompting us to reflect on teaching practice. This qualitative study aims to demonstrate how mathematical investigations can contribute to meaningful learning of DIC concepts. The results indicate that this methodology can help foster a more dynamic and reflective learning process, in which the teacher acts as a facilitator and the student as the protagonist of their own knowledge. The study suggests that the use of mathematical inquiry activities can foster various skills in students, such as observation, experimentation, logical reasoning, critical thinking, autonomy, and creativity—activities that make learning more engaging and immersive, thereby promoting a more constructive and effective educational environment. Therefore, it is recommended that teachers adopt teaching methodologies that include mathematical investigations in their classroom practices, with the aim of improving the quality of student learning in differential and integral calculus concepts.