DIDACTIC SUITABILITY CRITERIA IN THE PREPARATION OF A DIDACTIC SEQUENCE ON FIRST DEGREE POLYNOMIAL EQUATIONS
Didactic Suitability Criteria; First-degree equations; Mathematics Education.
This Professional Master's research focuses on planning a teaching process on first-degree equations for 7th-grade students in lower secondary education. It seeks to answer the question: How can a Didactic Sequence, as an Educational Product, contribute to the teaching of first-degree equations to 7th-grade students in lower secondary education? The aim is to develop a Didactic Sequence centered on the mathematical object of first-degree equations, drawing on the Didactic Suitability Criteria (DSC). This theoretical construct guides the reflection on teaching practice through six criteria: epistemic, cognitive, mediational, interactional, affective, and ecological. A qualitative, collaborative approach is adopted, developed in partnership with members of the Potiguar Group for Studies and Research in Mathematics Education (GPEP). The research is organized into three stages: (i) planning of the Didactic Sequence based on the Didactic Suitability Criteria; (ii) implementation of the Educational Product in a 7th-grade class in lower secondary education in the state of Rio Grande do Norte (RN); and (iii) evaluation of the Product by 7th-grade Mathematics teachers from five public schools – one located in the capital city Natal, and the others, each from a different mesoregion of the state, through a closed-ended questionnaire. As preliminary considerations, it is observed that the development of a teaching material grounded in the DSC allows teachers to focus on essential aspects of pedagogical planning, often overlooked in teaching practice.