【摘要】 数学是一门科学,也是一种语言。数学的语法结构表现为通过逻辑连词、量词、否定、自由和约束等语法生成的基本概念(如集合、函数、关系及二元运算等);数学的人文特征表现为三种形态:学术形态、生活形态及教育形态。学术形态上"冰冷而美丽";生活形态上"朴素而动人";教育形态上需要引发"火热的思考"。帮助学生数学地理解、数学地表达是数学教育的重要目标。在教学中引入生活形态的数学语言可以激发学生的"火热思考"。更多还原

【Abstract】 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 mathematics is an important goal of mathematics education. Introducing the lifestyle language to mathematics teaching may stimulate the students to think intensively.更多还原