中文摘要：

新疆民俗数学是具有鲜明民族特色、独特价值和丰富文化内涵的数学思想与思维方式的综合。新疆民俗数学较多地体现在用于造型和装饰的清真寺、民居、民族手工艺品等方面的几何纹饰上。对于民俗数学的研究，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，分析其蕴含的数学知识和数学思想；另一方面则关注民俗数学研究成果的教育学转化，在充分考虑新疆少数民族儿童数学认知思维特征以及数学双语教学原则、方法等的基础上，通过实现民俗数学的“课程化”，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少数民族传统文化的“缺失”，进而推进本地区基础教育课程改革和数学教育质量的提升。

英文摘要：

Xinjiang ethno-mathematics is the unique mathematical thought and thinking mode and its culture has rich connotation, bright national characteristics and unique value. It is more reflected in the geometry patterns that are used in shaping and decoration of mosque, folk house, ethnic minority craft and other aspects .On the one hand, the research on it is to analyze the mathematical knowledge and mathematical thinking through collecting, sorting and analyzing the ＂cultural carrier＂ which is a mixture of mathematical knowledge and traditional culture;On the other hand, based on the full account of Xinjiang ethnic children＇s mathematical cognitive thinking characteristics, the principles and methods of mathematics bilingual teaching, we should concentrate on educational transformation of Xinjiang ethno-mathematics research, in order to make up ethnic cultural deficiency in the＂mainstream culture＂ mathematics curriculum. We also hold promoting mathematical educational quality and basic education curriculum reform through our research as our ultimate aim.