Representações semióticas mobilizadas por licenciandos em Matemática ao tomar decisões diante de situações econômicofinanceiras

Abstract

The present work aims to investigate the decision-making of graduates in Mathematics in the face of economic-financial situations, mobilizing records of semiotic representation. To do this, a qualitative research is carried out following the principles of content analysis and a semi-structured questionnaire and four tasks involving 28 questions that explore economic and financial situations are taken as a source of data production, culminating in the determination of the current value model for the Uniform Series of Payments. Based on the analysis of the results of the tasks and from the following categories: sociocultural, economicfinancial and behavioral, among the results it is highlighted that the participants of the research revealed arguments mainly related to economic-financial aspects, followed by behavioral and sociocultural in rare cases. It is also observed that the graduates mobilized several transformations of treatment and conversion by arguing their choices and in the sociocultural category they exclusively used registers of representation in natural language; in the economic-financial category mobilized both the natural-language registers as well as numerical, symbolic and tabular algebra; And in the behavioral category they used natural, numeric, symbolic algebraic representation registers. Regarding the determination of the current value model (PV) of the Uniform Series of Payment, the licensees related the sum of the present values of all the installments to the finite sum of a Geometric Progression, which was represented in the algebraic representation record from the analysis of numeric representations and cash flow.