摘要
如何设计效益高、难度适宜的初中几何课程,是数学课程改革中一个颇具争议的长久难题.探析具有本土特色的几何课程经验,发现"GX实验"通过证明格式构建的"简化分点式"过渡策略;同一主题内容构建的"集中—类比式"设置策略;几何推理体系构建的"面积法"处理策略等,构建了"减负提质"的初中几何课程,并取得了显著效果.启示当下的几何课程改革可采取替代性删除的方式构建几何课程的内容;应用数学化策略降低几何证明的难度;把握几何推理教学的现代价值转向等.
It is a hot difficult problem to design higher effectiveness and suitable difficulty of the modern geometry curriculum, and it is a controversial question in the reform of mathematics curriculum. For exploring and analyzing the local characteristics of the geometry curriculum, The effective strategies of reform of GX experiment were found, through utilization of the strategies such as follows: the transition strategy of "Simple dividing-point" of proof format construction, the set strategy of"focus-analogy" about the same theme construction and the processing strategy of area method in Geometric reasoning construction, the constructing geometry curriculum of junior high school is easy to teach, learn, and achieved remarkable results. For the present reform of geometry curriculum, the enlightenment as follows: It is necessary to construct new modern mathematics knowledge substitute for the content of geometry curriculum should be deleted, using the methods of mathematiciization to reduce the difficulty of geometry proof, and grasping the turn of modern value of geometric reasoning Teaching, etc.
出处
《数学教育学报》
CSSCI
北大核心
2016年第4期98-102,共5页
Journal of Mathematics Education
基金
全国教育科学“十二五”规划教育部重点课题——六十年我国中小学数学教学改革模式研究(1949—2009)(DHA120238)
关键词
初中几何
几何课程
GX实验
减负提质
geometry of junior high school
geometry curriculum
GX experiment
reducing the learning burden and improving the teaching quality