The goals of a major reform effort are to enable us to educate informed citizens who are better able to function in our increasingly technological society. Discrete mathematics is an exciting and appropriate vehicle for working toward and achieving these goals. it is an excellent tool for improving reasoning and problem solving skills. Discrete mathematics has many practical applications that are useful for solving some of the problems of our society and that are meaningful to our students. Its problems make mathematics come alive for students, and help them see the relevance of mathematics th the real word. To build up the role of Discrete mathematics in the school, this study is to investigate various theories and curricula related to discrete mathematics, and to collect a great deal of valuable material that will help teachers introduce discrete mathematics in their classrooms. In conclusion. mathematics teachers will find the need and importance of why and how discrete mathematics can be introduced into their curricula by this study.