Study Of High School Students Level Of Understanding About The Collection Of Knowledge And Understanding Of The Obstacles

German mathematician Cantor set theory is founded in the 19^th century, a collection of language is the basic language of modern mathematics, the other a collection of mathematical language are built on the basis of language.Collection of language use can be simple and accurate mathematical expression of some of the elements conducive to the formal and symbolic mathematics. Today the concept of mathematics learning is all learning mathematics, different people learn different mathematics, different people have different mathematical development, and learning mathematics is, ultimately, to learn mathematical language, mathematical language to learn if the problem Everyone studying math, different people learn different math, different people have different mathematical development objectives can not be achieved.Collection with abstract algebra and geometry in an intuitive and rigorous, is a powerful tool to solve the problem, the idea embodied Shuoxingjiehe. The new curriculum reform for us to just provide a good platform for education and research space. High school mathematics curriculum in China will also promote the collection as a language, students learn to use the most basic set of mathematical objects related to language, to describe mathematical relationships, the development of students to use mathematical language ability to communicate mathematical knowledge for the subsequent lay the foundation for learning.One of the features of modern mathematics is unity, unity, and it requires clear and concise language, and a collection of language is the basis for learning other mathematical language, which determines the set theory of language and thought is an important foundation of modern mathematics. Carpenter pointed out that: In order to foster mathematical literacy for the 21st century citizen has to be reconstructed classroom, making learning math can be understood. And educators also recognize that thinking is a tool to understand abstract things, in order to improve the ability of students to learn mathematics, it is necessary to understand the development model of thinking, because we believe the best way of teaching is based on the students understanding of the natural thinking on.Thus high school students should grasp the depth of knowledge about the collection level of understanding and comprehension deficits under the premise of teaching and research emphasis on the collection. In this paper, the core concept of the collection, using the method of survey testing high school level of understanding about the collection of knowledge and understanding of issues of barriers to the investigation, the main conclusions are:1, a collection of knowledge and understanding of students and not enough emphasis.2, the students understanding of the concept of fuzzy sets and their related, can not accurately identify the concept.3, the students there are in the collection of language comprehension, transformation, expression, structural and other difficulties, the basic properties of a collection of language and expressed a clear understanding of mathematical objects.4, the students can understand the set of operations, but in the context of a collection of language set operations are not effective.5, a collection of male and female students understand little difference.In a collection of learning problems of students in-depth analysis based on the given set of targeted and effective teaching strategies and teaching suggestions.