Mathematics is a language as well as science.The grammatical structure of mathematics is reflected by logic conjunctions,quantifiers,negations and some free or constraint variables,which are combined with other basic concepts(such as set,function,relations and binary operation).The form of cultural characteristics of mathematics is divided into'academic form','lifestyle form'and'educational form'.'Academic form'seems to be'cold and beautiful',while'lifestyle form'seems to be'simple and touching'and educational form need stimulate'hot thinking'.To help students understanding and expressing the ...