Abstract
This research analyzes the teaching-learning process of students, through methodological resources, affectivity and problem solving, in the intensive SAEPE (Pernambuco Educational Evaluation System), held in November 2024, with 100 students from the 3rd year of high school in a state public school in Goiana-PE, seeking to analyze these conceptions from the research of some of the authors who discuss this topic, among them: Henry Wallon (2016) and Polya (1996). Polya's method consists of three steps: understanding the problem, designating a plan, and executing the plan. The mathematics of affection and the Polya method are possibilities in the teaching-learning process of students and need to be considered by mathematics teachers, that is, we need to be transmitters of autonomy, affectivity, trust, protagonism, as well as facilitators in providing opportunities for such situations. Therefore, in the path of teaching problem solving, teachers and students are mutually touched during the process of training and observing the issues. The expansion of cognitive development is also maximized through affection and the ability and competence to express one's feelings. From this perspective, it was observed that the challenge of affectivity and problem solving is shared among all the subjects involved in the school environment.
DOI: https://doi.org/10.56238/sevened2025.011-038