Discrete Mathematics Architecture

Discrete Math is the fundament of computer science. Doing research about Discrete Math is important at prese(?). We can say that it is a bridge between math and computer science. It cannot stay with out Sets and Fundamental Mathematics and so on. At the same time it has a relati(?)ship with Data Structure, Database, Compiler and so on. Obviously its developmem can improve the development of computer science. In one hand the most important t(?)g as to math is theorize. We try to theorize the knowledge in Discrete Math so as to c(?)velop Discrete Math science. Discrete Math emphasizes the discrete structure and stand(?) for discrete transactions. But all discrete structures start as Sets (that is sets of trans(?)tions). So Sets is the fundament of Discrete Math. The architecture of Discrete Ma(?) I do research about is basis on Sets.On the other hand CAI (Computer Aided Instructor) in Discrete Math helps students easily understand those abstract theories and concepts. Students can be provided an active interfa(?) instead of abstract Discrete Math. Given a ood learning environment students not only learn the method of programming, but also deepen the understanding of theories I design the contents of courses and reasonably arrange courses according to the ru(?)e of CAI designing technology. My CAI includes the below aspects: Sets(including Relations, Functions), Graphs, Algebra System (Groups, Cycles, Lattices, Boolean Algebras and Mathematical Reasoning. At present some multimedia CAI emphasize only on the form of computer. They cannot really put teaching in learning. But my CAI em(?)hasizes the show of procedures, clarifies the theories and gives the condition of existing of theories step by step. This is useful for students to understand.In this paper I shall a(?)o introduce how Discrete Mathematics develops to othercomputer subjects. For e ample I illustrate the relationship between relation and compiler and the relationship between algebra math and code and so on.