Teaching Logarithms: a Diagnosis of Appropriation of the Concept Discussed in the Light of Historical-Cultural Theory

Abstract

Within the context of the modification of high school, due to the approval of the Law nº 13.415/2017, which proposes the Reform of High School and the approval of the Common National Curriculum Base - BNCC/2018; which holds as principles the development of capabilities and the development of enquiries concerning the organization of the teaching of mathematics supported by other presuppositions, which is indeed necessary. In this article, it is presented a research fragment which had as an objective the analysis of the contributions of the zankovian system for the organization of the teaching of logarithms. From bibliographical research, the principles of the didactic system of L.V. Zankov are addressed. We address some elements of the logico-historical movement of the concept of logarithms and, basing ourselves in field research, we discuss the diagnosis of the apprehension of the concept of logarithm by six students of the 2nd year of high school in a private school in Uberaba-MG. From the diagnosis it was possible to indicate evidence of  empirical knowledge of the concept based on external elements, which indicate the necessity of new approximations for new synthesis, aiming at the construction of theoretical knowledge.