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一、问题的提出反复研读杨晓翔老师(以下简称“杨老师”)的《细节决定成败——一节有遗憾的课堂教学的启示》(见《数学通报》2015年第10期,以下简称文章),收获颇多.杨老师对文章中教者的公开课的点评让人感到震撼——鞭辟入里的分析、客观公平的评价、教学方法的改进、教学细节的缺失、改进方法的提供,尽显杨老师深厚的理论功底和坚实的教学功力.公开课教者旨在通过1个引例和5个题,
I. Proposal of the question Repeatedly studying the “details of determining the success or failure of the teacher Yang Xiaoxiang (hereinafter referred to as ”Mr. Yang“) - a lesson from the regrettable classroom teaching” (see “The Mathematics Bulletin,” No. 10, 2015, hereinafter referred to as The article) has gained quite a lot. Teacher Yang’s comment on the open class of the teacher in the article is shocking - analysis of the whip, objective and fair evaluation, improvement of teaching methods, lack of teaching details, and provision of improved methods. Shows Yang’s profound theoretical foundation and solid teaching skills. The open class teacher aims to pass 1 introductory example and 5 questions.