Matemática recreativa de Kaprekar na educação básica

Abstract

The main theme of this text is Recreational Mathematics. Therefore, we seek to expose what some mathematicians say about this definition, highlight its importance for the school environment and how it appeared throughout history. We will also address big names in recreational mathematics, such as Martin Gardner, the leading name in recreational mathematics in the world. And here in Brazil, we will talk about Malba Tahan and his contribution to Recreational Mathematics. In one of Martin Gadner’s publications, he points to an Indian mathematician named Kaprekar. It is precisely this Indian mathematician that we will highlight in our work. We will tell you a little about his history, going through childhood, adolescence, until its adult phase. We will highlight the historical and geographic context in which he lived at the time and discuss his two best-known researches: The Kaprekar Constant and the Kaprekar Numbers. Our main mathematical focus will be the Kaprekar Numbers, we adopted the way that Iannucci (2000) demonstrates the dynamics of the number in his article. But in order to be able to make the whole mathematical approach contained in the Kaprekar Numbers, together with the article by Iannucci (2000), we will dedicate a space for the dissertation to be able to explain the mathematics contained in the work, which is, in general, Arithmetic. In our research we will use the ideas of Chaquiam and Mendes (2016) to explore the History of Kaprekar and as a result we propose an educational product that addresses Recreational Mathematics associated with the History of Mathematics. This educational product is an activity booklet to be used in the classroom by Elementary School teachers.