Potenciação: Análise de uma Coleção de Livros Didáticos de Matemática do Ensino Fundamental e do 1º Ano do Ensino Médio

Abstract

This work it is a qualitative research whose guiding question "How potentiation operation is presented in the proposal for a collection of textbooks of the Final Years of Elementary School and in the book of the 1st year of high school?". Based on the question the objectives were developed: how to analyze the potentiation of operation is presented in a collection of texts for End of Elementary School Years and textbook for the 1st year of high school, as well as the enhancement operation is addressed in the study the exponential and logarithmic functions. Seeking to answer the research question and reach the designed objectives, analyzed a collection of Years End of Elementary School and volume 1st year of high school, chosen by teachers from a state school in the city of Itaqui / RS, using as the theoretical research on conceptual field and Semiotics Representation Registers, regarding the learning of mathematics, as well as other readings related to this issue. After reviewing the Final Years collection at the elementary school show up limitations in addressing the potentiation operation because the situations proposed, in most cases, require the mobilization of these invariants (properties) and semiotic representations. By analyzing the volume of the 1st year of high school, there is the resumption of potentiation operation to address the exponential function. The activities proposed in this recovery, similar to the proposals in the collection of textbooks of Final Years of Elementary School. It is noteworthy that there are different ways in conversions, in relation to the collection of primary education, in particular with regard to the chart record. Given the above, it is believed that this research presents data relevant to the process of teaching and learning of mathematics, especially the potentiation of operation, since there are few studies that investigated this operation.