数学解题教学设计的创新实践研究——基于“美学”的视点

Research on Innovative Practice of Solving Mathematics Problem Teaching Design——For the Viewpoint of “Aesthetics”

数学教学设计既具有科学的程序性，也具有艺术的创造性，后者意味着教师在教学设计时可以自由地组织相关题设条件的数学化信息启发帮助学生发生思维活动．当面临启发学生发生数学认识时，一种比较有效的途径在于教师通过审美意向过滤数学化信息，萌生指导学生发生思维活动的策略．审美意向的具体形式要素有“对称美”、“和谐美”与“奇异美”等，通过这些要素，在教学设计中，可以辅助教师优化组织数学化信息的实践活动．

The mathematics teaching designs not only has scientific procedural, but also has the artistic creativity, and the lattermeans that teachers can freely organize relevant prerequisite of mathematical information in the teaching design which can helpthe students produce thinking activities. When facing to inspire students conceive math knowledge, a more effective way lies inthe teacher through the aesthetic intention filter mathematical information which guide the students thinking activities initiationstrategy. The specific form of the aesthetic elements the intention of the beauty of ＂symmetry＂, ＂harmony＂ and ＂singular＂, andthrough these elements in teaching design, can help teachers practice activities to optimize the organization of mathematicalinformation.