Triângulo de Pascal: uma abordagem ampla no ensino regular

Abstract

This dissertation aims to present new perspectives on Pascal’s Triangle in the school context. It is a complex and rarely explored topic at this educational level, which brings with it possibilities for application and intriguing curiosities to spark students’ interest, thereby enhancing more effective teaching and learning processes. Through different approaches, it is possible to motivate and enrich the traditional content of Mathematics in basic education and work with interdisciplinary situations. The study provides a brief history of the origin of the Triangle and its use over time by various mathematicians up to Pascal. Additionally, mathematical results obtained from the analysis of the elements of this Triangle are presented and discussed. Finally, a series of approaches that relate the Triangle to different fields of Mathematics are proposed, aiming to assist basic education teachers in preparing activities for their classes. Issues involving more advanced mathematical concepts are also addressed, allowing each educator to choose and adapt those that are most suitable for their reality. In this way, the goal is to provide basic school teachers with an additional resource for creating innovative pedagogical proposals that contribute to the advancement of basic education in an engaging and meaningful way.