数学必备品格的组成要素分析——基于数学家的视角

A Study on Elements of Essential Mathematical Characters——Based on a Mathematician’s Perspective

数学必备品格是具有良好数学特征且能促进人全面发展和人格完善的心理品格。明确数学必备品格的组成要素,对数学核心素养有效落实至关重要,数学家对数学品格的普遍认识具有鲜明代表性。研究按照数学发展的四个时期,分层抽样选取28位数学家作为研究对象,从28位数学家对数学品格的相关论述中,归纳统计得到数学必备品格的七个要素。经过相关分析等数据处理,按其重要性排序为:数学兴趣、创新、自强不息、严谨、勇于质疑、化繁为简、独立思考。研究表明,这七个要素作为数学必备品格最重要的组成要素,已经开始在中小学数学课程、教材和课堂教学中得到渗透,而且未来更需要得到进一步明确物化。

Essential mathematical characters are psychological characters with good mathematical characteristics.Essential mathematical characters can promote the all-round development of human beings and the perfection of personality.That is very important for the effective cultivation of mathematical core literacy to clarify elements of essential mathematical characters.The study randomly selected 28 mathematicians from four periods in the history of mathematics.The discussion of mathematical characters by 28 mathematicians has provided and helped us to analyze the necessary characters of mathematics.Through quantitative processing,there are seven essential mathematical characters to be screened out:mathematics interest,innovation,unyielding and rigorous,critical spirit change numerous for brief and independent thinking.Research shows that seven elements are the most important components of essential mathematical characters which have appeared in the math curriculum textbooks and teaching and need to be defined and materialized in the future.