Ensinar matemática criativa para uma mentalidade de crescimento a partir da resolução de problemas: uma abordagem sistêmica e pedagógica

Abstract

Education in Brazil is undergoing an innovative transformation in teaching and learning, seeking to adapt to the social, technological and intellectual demands of a constantly changing world. Traditional teaching, focused on memorization and repetition and centered on the teacher, has proven to be ineffective, especially in the area of Mathematics, where the lack of connection between the content learned and its practical application demotivates students.To meet current demands, teaching methods that promote autonomy, responsibility, critical sense, creativity and protagonism of students in building their life projects are gaining prominence. In this context, strategies such as elaborating and solving problems and redefining mathematical concepts emerge as essential tools for developing these skills, with a special focus on creativity in Mathematics, which is the theme of this research. Based on these principles, this research seeks to answer how problem-solving methodology can contribute to the development of mathematical creativity in Basic Education students. To this end, the work intends to analyze didactic and methodological concepts, guiding basic education Mathematics teachers based on the ideas of authors who influenced this area of study in Brazil and around the world. This is detailed research on the subject, in which we consider questions such as: How do teachers teach? How do students learn? Do these relationships complement each other? What techniques and methodologies should teachers adopt? The focus will be on mathematics teachers in primary and secondary education. Therefore, we gave this work the title “Teaching creative mathematics for a growth mindset through problem solving”, using a systemic pedagogical approach.