Didactic Suitability Criteria for Designing a Didactic Sequence on Linear Equations
Didactic Suitability Criteria; Linear Equations; Mathematics Education.
ABSTRACT
This Professional Master’s research focuses on planning a teaching process on linear equations
for 7th-grade students in the final years of elementary school. It seeks to answer the question:
How can a Didactic Sequence, as an Educational Product, contribute to the teaching of linear
equations to 7th-grade students in the final years of elementary school? The main objective is
to develop a Didactic Sequence centered on the mathematical object linear equation, based on
the Didactic Suitability Criteria (DSC). These criteria guide the reflection on teaching practice
through six dimensions of suitability: epistemic, cognitive, media-related, interactional, affec-
tive, and ecological. A qualitative, collaborative research approach was adopted, developed in
partnership with members of the Potiguar Group for Studies and Research in Mathematics Edu-
cation (GPEP). The research was structured into three stages: (i) planning the Didactic Se-
quence based on the Didactic Suitability Criteria; (ii) implementation of the Educational Pro-
duct in a 7th-grade class in the final years of elementary school in the state of Rio Grande do
Norte; and (iii) evaluation of the Product by mathematics teachers from five public schools —
one located in the capital city, Natal, and the others in different mesoregions of Rio Grande do
Norte — through a closed-ended questionnaire. The results indicate that using a Didactic Se-
quence guided by the DSC supports the understanding of the complexity and representational
nature of the mathematical object linear equation, allowing for a gradual and contextualized
introduction of the content, and highlighting interrelationships both among mathematical topics
and with other areas of knowledge.