本文选取 “早期算术与几何——计数与测量”、“古希腊数学”、“中国古代数学瑰宝”三个案例做教学实践研究，探讨了《数学史选讲》教学中值得关注的几个问题：①准确理解和把握课程标准，恰当制定教学目标；②合理使用教材和其他课程资源，做出多维度、多层次、融知识性、启发性和趣味性于一体的教学设计；③恰当使用多媒体等教育技术，营造生动活泼、富有开放性、启发性的课堂气氛；④借助数学史引导学生加深对数学的理解，激发学生对数学的兴趣。在本文中，笔者根据《课标》要求和学生的实际情况，对上述三个专题做出教学设计，并做了相应的分析和论证。如在“古希腊数学”中，笔者论述了《课标》选取毕达哥拉斯、欧几里得、阿基米德三位数学家的工作作为主要内容的原因；具体设计了关于阿基米德数学工作的教学片断；论述了在这个片断中如何选材，如何设计教学方式，从而实现教学目标并达到较好的效果。笔者通过教学对上述三个设计进行了实践检验，并通过教学反思及对学生反馈性问卷调查的分析，对它们的合理性和有效性做出了进一步的说明。根据本文的研究过程，笔者认为《数学史选讲》的教学一般可以遵循如下过程：整体把握《数学史选讲》的课程目标，根据《课标》要求和学生实际情况确立教学目标，广泛查阅和萃取资料以选择适当的教材，采用灵活多样的教学方式，实现教学目的。这样的过程在一定程度上可以改变一线教师对高中《数学史选讲》课程的误解和胆怯；同时本文开发的案例可以作为一线教师的课程资源，直接在课堂教学中使用，从而更好地推进《数学史选讲》课程的实施。

The thesis chose three topics "Representation and the number of decimal”, "Ancient Greek mathematics" and "Treasures of ancient Chinese mathematics." as the teaching case to analyze, in which the following aspects are discussed:1) How to understand and master the new Standard of the curriculum and set the teaching goals properly.2) How to utilize the textbook and other resources to design a interesting, instructive and intellectual teaching procedures which has multiple layers and dimensions.3) How to use the multimedia to create active and open class atmosphere.4) How to arouse the students’ interest in math through learning the history of math.In the thesis, the author designed the three topics according to both Curriculum Standard and the students and make accordingly analysis and research. For example, In teaching Ancient Greek mathematics, the author exposed the reasons why the Curriculum Standard include the work of Archimedes, Pythagoras and Euclid. Besides, the thesis designed a teaching period about the mathematical work done by Archimedes and analyzed how to choose and design the way of teaching to realize the teaching goals and achieve a better effect. The thesis tested the three teaching designs in the practice and analyzed from the self-reflection and students’ questionnaire. Finally, the rationality and validity are explained further. According to the process of research, the author held that the teaching of ELECTION TALK ABOUT THE HISTORY OF MATHEMATICS can follow the procedures below: First, generally hold the teaching goals of ELECTION TALK ABOUT THE HISTORY OF MATHEMATICS. Then set the aims of teaching based on Curriculum Standard and the students. Next, search and choose proper materials and achieve the teaching aims in a variable and flexible way.Such kind of teaching process can eliminate the teachers’ misunderstanding and timidity. In the meantime, the teachers can use the teaching cases in the thesis directly and thereby promote the implement of ELECTION TALK ABOUT THE HISTORY OF MATHEMATICS in teaching practice.