Sorting some fractions by using a graph area shading (GAS) technique

Abstract

Abstract Fractions are one of the mathematics topics that have been taught starting in grade two on elementary school. For kids, understanding a fraction is not so simple, especially in sorting fractions, ascending or descending. A fraction consists of two part numerator and denominator. A common technique frequently used in sorting some fractions is making the denominators of those fractions are the same, and compare the numerator which on is greater or less than other. This technique requires a long and slightly complicated process. The researchers will study a new technique for sorting fractions, namely the Graph Area Shading (GAS) technique. By a graph, we mean a set of vertices together with edges representing a specific relation. The simplest graphs are path and cycle. We will use some other graphs such as wheel, friendship and fan graphs. This technique is considered to be pretty much easier for kids to sort the fractions.