高水平数学教学到底该教什么

High Level of Mathematics Teaching in the End What to Teach

数学教师的教学水平的高低,首当其冲地体现在对教学内容的把握上.高水平的教师,在教教材中显性知识的同时,能挖掘出其后的隐性知识,教到一些别人教不出来的内容.这些不易教到的隐性知识,就是数学的本质、过程、思想和结构.通过深度挖掘教材中各种数学概念、结论等背后的隐性知识,达到与隐性知识的深度对话,有助于提高数学课堂实效和学生的综合能力.

Mathematics teacher’s teaching level firstly reflects on the mastery of teaching content.A high level of teachers can not only teach explicit knowledge in textbook,but also can teach the tacit knowledge in textbook which can’t be mined by other teachers.The tacit knowledge which is not easy to be mined is mathematical essence,mathematical ideas,mathematical process and mathematical structure.A high level of teachers can recognize the tacit knowledge in textbook,and have a conversation with the tacit knowledge which can be acquired by mining mathematical concepts and mathematical conclusions.It is helpful to improve the effect of classroom teaching and students’ comprehensive ability.