Efficiency of understanding some mathematical problems by means of Pascal’s triangle

Abstract

Various features have been found hidden in the Pascal triangle. In this paper, some very well-known properties of the Pascal triangle will be presented, as well as the properties related to different extensions of the triangle, namely the Pascal pyramid. Given that in the textbooks of the tenth grade, respectively in the school, where we realised the research but also in general in other schools, the importance of the Pascal triangle is not at the right level, then in this paper it has been shown very well that many different exercises in mathematics. The purpose of this paper is to look at the difference and importance of explaining mathematical units against units that students do not have knowledge of, namely the explanation of Pascal’s triangle in the efficiency of solutions to various mathematical exercises. This research is mainly based on descriptive and quantitative method, while research instruments are two tests. From the study of Pascal’s triangle, many solutions of problems in mathematics emerged through this triangle, starting from the binomial formula, the extension of the binomial formula, and the combinatorics as well as the probability. So the students realized that Pascal’s triangle enables the solution of all these exercises in an easier and more understandable way and this also came from the results of two tests. Also, the students were open and motivated for the idea of ​​using Pascal’s triangle for other exercises but what now remains for them to find other possible solutions to the exercises through Pascal’s triangle.