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Activity Approach in Psychology; Galperin's Theoretical System; Logical Procedure of Classifying; Mathematical Thinking; Professional Teaching Thinking
This research is part of the Postgraduate Program in Education (PPGEd) at UFRN, linked to the research area of Education, Training and Teacher Professionalization, and is part of the project approved by CNPQ entitled “Learning to teach logical thinking skills as a way to form scientific concepts in school.” The main objective is to characterize the levels of development of the logical procedure of classifying in mathematics teachers as content of Professional Teaching Thinking (PPD, in Portuguese) when they plan teaching situations for the formation of mathematical concepts in the final years of elementary school, given the importance of this procedure in the development of mathematical thinking in students. This research is based on the Psychology Activity Approach (EAP) applied to Teacher Professionalization, drawing on authors such as Núñez, Ramalho, and Pereira (2024); Núñez, Pereira, and Barros (2025); Galperin (1966; 1978; 1979; 1987; 1989; 2001); Talízina (1988; 2000; 2001; 2009); Nechaev (2015); Leontiev (2021). The research is based on the assumption that a formative experience from the perspective of EAP applied to teacher professionalization enables the characterization of levels of development of the logical procedure of classifying in mathematics teachers when they plan teaching situations that require this procedure. The formative experience of the initial diagnosis of the PPD was carried out in six meetings with four mathematics teachers who were taking the Advanced Seminar I: Learning Theories course in the Graduate Program in Science and Mathematics Education (PPGECM, in Portuguese) linked to the Center for Exact and Earth Sciences (CCET, in Portuguese) at UFRN. The methodological procedures adopted as instruments for collecting information were the pedagogical test, observation, and interviews. The analysis of the results revealed that teachers have difficulties in correctly explaining the concept of classifying, its articulation with other logical procedures, its function in the development of students' conceptual thinking, as well as difficulties in developing diagnostic evaluations that allow them to characterize the levels of development of the logical procedure of classifying in their students