Problemas reacreativos da obra Liber Abaci de Leonardo Fibonacci (1170 – 1250): uma sequêcia didática

Abstract

This work is an investigation within the area of Mathematics Education and aims to investigate the potential of Recreational Problems from the work Liber Abaci, by Leonardo Fibonacci, for teaching mathematical content. For this, a qualitative and exploratory approach was chosen. Thus, a bibliographical survey was carried out involving Brazilian theses and dissertations on Recreational Mathematics, published between 2019 and 2024. Furthermore, the study presents a didactic sequence aimed at teachers and future Mathematics teachers, consisting of three tasks that address the story of Leonardo Fibonacci (1170 – 1250), his work Liber Abaci and Problems Recreative taken from chapter XII of this work. The results show that Recreational Mathematics has been a methodological approach recently researched in Brazil. Another result that we highlight is the importance of using Recreational Problems from historical texts in the training of Mathematics teachers, allowing them to learn about the potential of this approach and integrate them into their classes. Recreational Problems have potential for teaching mathematical content such as: fractions, ratios, proportionality, numerical sequences, recursive sequence and numerical patterns. Furthermore, it stimulates logical reasoning, creativity, problem solving and contextualization.