中文摘要：

在国外,概念图作为一种有效策略已经被广泛研究和应用,在国内,关于概念图的研究还较少,尤其在数学学科教学中的应用研究就更少。为此对概念图及其理论进行了深入地分析,挖掘出概念图的深层理论基础,包括脑科学理论、建构主义学习理论、有意义学习理论以及元认知理论。在理论分析的基础上,探索了概念图在概率统计教学设计、新课导入、复习课以及教学评价中的应用。大量的教学实践表明概念图在概率统计教学中是一种有效的教学策略。并且从知识学习、合作交流、思维能力三个层面对教学实践效果进行了概括总结。最后展望了概念图在数学教学中的应用前景,下一步将对概念图在数学教学中的应用做更加深入的研究,以期在更大的范围推广使用概念图。

英文摘要：

In foreign countries,the concept map as an effective strategy has been extensively researched and applied,but less domestic,especially less in mathematics teaching＇s applied research.Therefore,this paper analyses concept map＇s theory thoroughly,and digs out the deep theoretical foundation of concept map,including brain science theory,constructivism learning theory,meaningful learning theory and the metacognitive theory.On the basis of theoretical analysis,the author explores the applications of concept map in probability and statistics teaching design,new course introduction,recitation and teaching evaluation.Teaching practice shows that concept map is an effective teaching strategy in probability and statistics teaching.The paper summarizes the practical effect in three aspects,including knowledge study,cooperation and thinking ability.Finally the paper prospects the application of concept map in the teaching of mathematics.