Planning lessons based on Exploratory Mathematics Teaching for teaching first-degree equations

Abstract

This work has as aim at discussing the planning of lessons based on Exploratory Mathematics Teaching (EEM in its Portuguese acronym) for teaching first-degree equations, prepared for a seventh-grade class in the Final Years of Elementary School. This work presents and discusses aspects of EEM, characteristics of working with first-degree equations, and the entire process of constructing lesson plans based on EEM, prepared by the teacher/researcher. Reflections reveal that planning lessons based on EEM is challenging because it involves several stages and care in its preparation, in addition to requiring time and dedication from the teacher. To construct the plan, several steps were necessary, such as (re)elaboration of exploratory tasks, discussion of tasks in a research group in which the authors of this work are part, testing the tasks with students, construction of anticipation tables and reflection on various aspects related to elaboration of classes based on EEM. However, findings indicate that it is possible to develop classes based on the EEM for teaching first-degree equations. This work contributes to the increase in research involving EEM and can help other teachers, both in the initial and continuing education, who wish to learn about, discuss and develop this teaching perspective.