The Dao of Mathematical Creativity, Symmetry Theories, and Yin-Yang Philosophy With Their Classroom Applications

Abstract

 This paper introduces creativity, one of the significant features in maths. The creative mathematical beauty of symmetry and asymmetry are worth investigating in the practicing of Taichi . Symmetrical variances make the real world. Symmetry can be regarded as a kind of mirroring, like the line symmetry, the mirror image of the other parts, or rotational symmetry. Such characteristics can be vividly demonstrated in the traditional Chinese philosophical yin-yang theory ( YY ). The accompanying of male and female reveals the friendly cooperative relationship. YY reflects the counterparts of vacancy and firm, inhale and exhale, noun and verb, theory and practice, light and heavy, slow and fast, the pace, the sound effect in the classroom. Such an analysis is undergone about yin and yang in Yi School and Dao De Ching ( DDC ). Furthermore, there are detailed arguments of the symmetric nature of every verse of DDC , revealing the cultural value of the language. Their applications in the class admit the recognition under the new liberal arts project by China’s Ministry of Education. Yet, the integration of research and teaching is required to go