Bridging Mathematical Concepts Through Interactive Understanding

The aim of the paper is to define mathematics concepts and the interaction between them based on the unified framework of mathematics by the philosophy method proposed in “Map of Mathematics under Yin-Yang Theory”. Firstly, develop then define negative number with the help of the concept of opposite unit interval (-). After these efforts, the activity of proving commutative property of addition from the introduced space, refine the definition of vector & combination of vectors. Lastly. Explore the interaction between concepts of variable, limit, space & origin by the concept of graph and derivative.