Revisão sistemática sobre análise dos tipos de erros cometidos pelos alunos no conteúdo de funções

Abstract

The objective of the following research is to perform a systematic review on productions that address the analysis of mistakes, with the ideal of defining and characterizing the kinds of mistakes that are commonly made by students while learning the concept and application of functions. It shall be addressed the concepts of function, linear function and quadratic function, contents present during the high school and college. For this research it was executed the following stages: to raise and describe the productions in an exploratory way, followed by relationating them, caracterizing and discussing the mistakes found, with the objective of understanding such mistakes and the difficulties of the students on this content. This work is being tailored based on the following questions: (1) Which are the most common kinds of mistakes commited by students when learning functions? (2) What could be the cause of such mistakes? The development of this term paper was thought in a way to facilitate the understanding and commitment of the teacher in preparing and teaching their classes, so that the students can have a better performance, be them conceptual or processual in the comprehension of the desired conjectured in the functions subject. From the performed analysis, it was concluded that, in reference of the objective of this research, with the data collected on the mistakes, it was possible to note that the mistakes brings us evidence that the relation between the commonly made mistakes comes from the lack of understanding of basic mathematical content, and also the difficulty in creating concepts in a correct way, and not only in by memorizing it without actually learning.