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学生的数学能力,包括运算能力,逻辑思维力和想象能力等,都比较集中地体现在分析问题和解决问题的能力上。数学课堂教学在传授知识的同时,重视能力的培养,已成为当前数学教学改革中的一个重要课题。在这方面,一个行之有效的办法是课堂教学必须十分注重分析,把教学过程组织成在教师的引导下,学生自己分析研究问题的过程。让学生在能动地探索的过程中学到数学知识,学会分析的方法,养成分析的习惯,从而提高分析问题和解决问题的能力。因此,分析是上好课,提高教学质量的重要一环。下面以高中数学第三册第四章中“排列与组合”这部分内容的教学为例,概述自己在课堂教学申如何进行分析的做法和体会,以求和同志们共同探讨。
The students’ mathematics ability, including computing ability, logical thinking ability and imagination ability, are all concentrated in the ability to analyze problems and solve problems. While imparting knowledge, mathematics classroom teaching attaches importance to the cultivation of abilities and has become an important topic in the current mathematics teaching reform. In this respect, an effective approach is that classroom teaching must focus on analysis, organize the teaching process under the guidance of teachers, and students themselves analyze the process of research. Students can learn mathematics, learn how to analyze, and develop habits of analysis in the process of dynamic exploration, so as to improve the ability to analyze problems and solve problems. Therefore, analysis is an important part of improving the quality of teaching. The following is an example of the teaching of “arrangement and combination” in the fourth chapter of the third volume of high school mathematics. It outlines the practice and experience of how to conduct analysis in the classroom teaching and discusses it with Comrades.