数学知识社会学下学习理论框架新观

Analysis on Learning Theory Structure under Sociology of Mathematical Knowledge

中文关键词:  数学知识社会学；数学结构；先前经验；隐性知识；整合；平衡；连结

英文关键词:sociology of mathematical knowledge， mathematical structure， met-before， tacit knowledge， integration， balance，connection

中文摘要:

      数学知识社会学的发展，奠定了数学知识新形式在数学教育中的重要地位。隐性知识根植于先前经验，促进了数学认知向深层水平的发展。在知识的转化过程中，数学语言及修辞起到桥梁的作用。通常以显性知识形式出现的结晶体概念，代表了数学三个世界理论的更高发展水平。这三种力量的交织和平衡，形成了一个动态的学习理论框架。在数学知识社会学的影响下，整合与连结成为数学学习理论发展的自然选择和努力方向。

英文摘要:

      The development of sociology of mathematical knowledge, has established the important position of new forms of mathematical knowledge in education. Tacit knowledge is embedded in met-befores, which promote deeper development of mathematical cognition. And in the process of knowledge transformation, mathematical knowledge and rhetoric are in the role of bridges. Crystalline concepts are, frequently appeared in form of explicit knowledge, on behalf of higher development level of three world of mathematics theory. The interlocked and balanced strength forms a dynamic learning theory structure. In the influence of sociology of mathematical knowledge, integrating and connections, have become unconscious choice and endeavor direction of mathematical learning theory.