UMA TIPOLOGIA DE SITUAÇÕES DE JUROS SIMPLES COM BASE NA TEORIA DOS CAMPOS CONCEITUAIS

Abstract

The main aim of this investigation is to establish a typology of simple interest situations based on the Conceptual Fields Theory. To characterize them, the following aspects of TCF were used: type of relationships – ternary and quaternary; categories of situations of the additive and multiplicative structures; additive, multiplicative or mixed situations, that is, those involving additive and multiplicative operations at the same time; and relational schemes. This is a documentary investigation that adopted as data source the three (03) works of high school mathematics textbooks most selected nationwide, based on statistical data from the National Education Development Fund, approved by the National Book and Teaching Material Program of 2018. For the identification of simple interest situations, in each work a specific chapter on financial mathematics, which deals with this concept, was considered. Thirty-three situations were identified, which presented the characteristic of complex problems, that is, problems that involve several relationships and questions. The analyses showed that these situations present intermediate stages which are necessary to resolve the main question raised. We identified the following classes of situations: composition of measures; simple proportion; and measurement transformation, all with intermediate stages of multiplicative and/or additive structures. Among the 33 situations, 12 required, to be solved, conversion of the unit of measurement of the rate or period. These conversion relations were characterized as part of the category of multiplicative structures of the simple proportion type. It was also identified the possibility of the simple proportion being composed of relationships and not just measures