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STUDENT : ARTHUR HENRIQUE DA SILVA

DATE: 25/03/2020

TIME: 09:00

LOCAL: DEPARTAMENTO DE MATEMÁTICA - UFRN

TITLE:

Kaprekar's Recreational Mathematics in Basic Education

KEY WORDS:

Recreational Math, History of Mathematics, Kaprekar, Arithmetic.

PAGES: 76

BIG AREA: Ciências Exatas e da Terra

AREA: Matemática

SUMMARY:

The main theme of this text is Recreational Mathematics. Therefore, we seek to

expose what some mathematicians say about its 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 its 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.

BANKING MEMBERS:

Presidente - 2350596 - GABRIELA LUCHEZE DE OLIVEIRA LOPES

Interno - 1958710 - EDGAR SILVA PEREIRA

Interno - 2476017 - JAQUES SILVEIRA LOPES

Externa à Instituição - MÁRCIA MARIA ALVES DE ASSIS - UERN

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