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1写在前面弗赖登塔尔说:“数学知识既不是教出来的,也不是学出来的,而是研究体悟出来的.”《全日制义务教育数学课程标准(2011)》也指出:学生的数学学习内容应当是现实的、有意义、富有挑战性的,这些内容要有利于学生主动地进行观察、实验、猜测、验证、推理等数学活动,学生的数学学习活动应当是一个生动活泼的、主动的和富有个性的过程.因而教师应该创设有利于活动探究的教学情境,合理地组织活动教学,使数学学习成为主动的探索和发现,使学生真正成为学习活动的主体,让学生在数学的探索活动中不断收获、不断成长.尊重学生的主体地位,鼓励学生进行合作、探索、实践、体验,这是当前研究的热点.
1 Write in front Freudenthal said: “Mathematical knowledge is neither taught, nor learned, but the study realized.” “Full-time compulsory education mathematics curriculum standards (2011)” also pointed out : The students’ mathematics learning content should be realistic, meaningful and challenging. These contents should be conducive to students’ initiative in conducting mathematical activities such as observation, experiment, speculation, verification and reasoning. Students’ mathematics learning activities should be vivid Lively, active and individualized process.Therefore, teachers should create a teaching situation conducive to activity exploration, organize activities teaching rationally, make mathematics learning an active exploration and discovery, make students truly become the mainstay of learning activities and let students In mathematics exploration activities continue to gain, continue to grow.Respect students’ main body position and encourage students to cooperate, explore, practice, experience, which is the current research hot spots.