中文摘要：

新疆民俗数学是新疆各少数民族在长期的发展过程中,通过其独特的生产和生活方式创造、积累和传承下来的,具有鲜明民族特色、独特价值和丰富内涵的数学文化以及独特的数学思想和思维方式。对于新疆民俗数学的研究,一方面是通过对这些集数学知识与传统文化于一体的＂文化载体＂的搜集、整理和分析,以达到保护和传承之目的;另一方面则关注民俗数学研究成果的教育学转化,以弥补当前新疆少数民地区以＂主流文化＂为主导的数学课程对新疆各少数民族传统文化的＂缺失＂,通过实现民俗数学的＂课程化＂,来推进本地区基础教育课程改革和数学教育质量提升。

英文摘要：

The XINjiang ethnomathematics is the unique mathematical thought and thinking mode and the mathematics culture which has rich connotation,bright national characteristics and unique value,it creates, accumulates and inherits in the long-term development process of Xinjiang ethnic minorities through the unique mode of production and life.On the one hand,the research on XINjiang ethnomathematics is to protect and inherit XINjiang ethnomathematics through collecting, sorting and analysising the ＂cultural carrier＂ which is a mixture of mathematical knowledge and tradional culture;On the other hand, Based on the full account of Xinjiang ethnic minorities children’s mathematical cognitive thinking characteristics and the principles, methods and so on of mathematics bilingual teaching,we should concerntrate on educational transformation of XINjiang ethnomathematics research,in order to make up the XINjiang minority traditional cultures deficiency of the ＂mainstream culture＂ mathematics curriculum in Xinjiang national minority area,also, promoting mathematical educational quality and basic education curriculum reform through realizing the coursing of XINjiang ethnomathematics.