Investigative Task in the teaching of derivatives in a class of Degree in Mathematics

• Autor(a) principal: Soares, Carlos José Ferreira
• Data de Publicação: 2020
• Outros Autores: Quartieri, Marli Teresinha
• Tipo de documento: Artigo
• Idioma: por
• Título da fonte: Educitec
• Texto Completo: https://sistemascmc.ifam.edu.br/educitec/index.php/educitec/article/view/1096
• topic: Investigação Matemática; Derivada; Ensino Superior; Mathematical Investigation; Derivative; University Education

The present work had as objective to analyze strategies and conjectures that the students of the subject of Calculus I of a class of Degree in Mathematics elaborate when using investigative tasks involving derivatives. As a theoretical basis, this study was based on Ponte, Brocardo and Oliveira (2016), Magalhães and Varizo (2016) in relation to the foundations of Mathematical Research. The research methodology was qualitative, assisted by participant observation and descriptive analysis. In particular, the rate of change, function maximums and minimums were focused. The results emphasize that the development of investigative tasks in the classroom, contributes for the student to be active in the search for the construction of mathematical knowledge. For the formulation of conjectures, they used several strategies: simulations through the construction of charts, drawings, function modeling and use of Excel. It can be concluded that this methodology has the potential to help the professor to develop more dynamic classes and offer possibilities for the student to take the lead in his educational training.