THE DEVELOPMENT OF CRITICAL, CREATIVE AND ALGEBRAIC THINKING: AN APPROACH BASED ON THE APPLICATION OF DIDACTIC SEQUENCES FOR TEACHING EQUATIONS IN THE 7TH GRADE OF ELEMENTARY SCHOOL
Critical and creative mathematical thinking. Algebraic thinking. Teaching equations.
From a perspective of collaborating with the quality of teaching-learning and assessment processes in the field of mathematics, especially from the perspective of developing mathematical thinking, this research project is proposed as the objective of analyzing the performance of a group of students from the 7th year of Elementary School in relation to the development of critical, creative and algebraic thinking from didactic sequences for the teaching of 1st degree equations. The main references used for critical and creative mathematical thinking were: Gontijo (2007), Lithner (2008), Wechsler et al (2018) and Fonseca and Gontijo (2021). The main references used for algebraic thinking were: Fiorentini et al (1993), Kaput (1999), Ponte, Branco and Matos (2009), Almeida (2017) and Chimoni et al (2018). It is a qualitative and quantitative research, classified in relation to the objectives in exploratory-descriptive, with a case study design. The methodological tool used will be Didactic Engineering with the aim of analyzing didactic situations, based on the organization of the research in four stages: preliminary analysis, a priori analysis, experimentation, a posteriori analysis and validation (CHEVALLARD,1982; ARTIGUE,1996) , with adaptations of this conception carried out by the inclusion of research instruments with quantitative design (Critical, creative and algebraic thinking assessment test). In the experimentation phase, didactic sequences will be organized (BROUSSEAU, 2008) organized in the design of Workshops for the development of critical and creative thinking (GONTIJO, 2018).