数学对真善美精神追求的“源脉”“谱系”及其对数学教育的启示

The Origin,Genealogy,and Educational Inspiration of Mathematics Pursuing the Spirit of Truth,Goodness,and Beauty

数学对真善美的精神追求,是全面、精粹与彻底的,深刻体现了数学精神的本质要义,是数学教育研究中的一个重要问题.辨析数学求真、益善、唯美精神的源脉,提出两个观点:数学探求真理的态度与方式是数学求真精神之源,数学求真精神是数学益善与唯美精神的根基.数学求真、益善、唯美精神在相互促进中各自形成演化脉络.求实、求理、求广与求新是数学求真精神演化的主要脉络;益知、益事、益国与益人是数学益善精神演化的主要脉络;唯简、唯序、唯统与唯和是数学唯美精神演化的主要脉络.它们共同形成了数学追求真善美精神谱系的结构要素,依演化脉络对这些要素及其内涵进行简要阐释和分析,得到对数学教育的意义、宗旨等问题的影响与启示:富有追求真善美精神内涵的数学教育在培育和谐发展的时代新人方面有更深刻的意义;“以数学的精神和思想育人,旨在涵育精神与思维素养”是数学教育的远大宗旨;数学追求真善美的精神谱系为涵育数学精神素养的教学提供了具体路径与方法.

The spiritual pursuit of truth,goodness,and beauty in mathematics is comprehensive,refined,and thorough,deeply reflecting the essence of the mathematical spirit.It is an important issue in mathematical education research.Analyzing the origins of the spirit of seeking truth,goodness,and beauty in mathematics,two viewpoints are proposed:the attitude and method of seeking truth in mathematics are the source of the spirit of seeking truth in mathematics,and the spirit of seeking truth in mathematics is the foundation of the spirit of seeking goodness and beauty in mathematics.Through analysis,it is found that seeking truth in mathematics,the evolutionary threads formed by the mutual promotion of the spirit of goodness and beauty are:seeking truth,seeking reason,seeking breadth,and seeking novelty,which are the main threads of the evolution of the spirit of seeking truth in mathematics;benefiting knowledge,benefiting things,benefiting the country,and benefiting people are the main threads of the evolution of the spirit of benefiting the good in mathematics;simplicity,orderliness,unity,and harmony are the main threads of the evolution of mathematical aesthetic spirit.Together,they form the structural elements of the spiritual spectrum of pursuing truth,goodness,and beauty in mathematics.These elements and their connotations are briefly explained and analyzed according to the evolutionary context and their impact and inspiration on the significance and purpose of mathematics education are obtained:mathematics education with the spiritual connotation of pursuing truth,goodness and beauty has a deeper significance in cultivating new generations of harmonious development;The lofty purpose of mathematics education is to educate people with the spirit and thinking of mathematics,aiming to cultivate spiritual and thinking literacy;the spiritual spectrum of mathematics in pursuit of truth,goodness,and beauty provides specific paths and methods for teaching to cultivate mathematical spiritual literacy.