Investigation Research And Development Suggestions On Mathematical Cognitive Understanding Of Ninth-grade Gifted Students

The mission of education is to try to meet the educational needs of all students(regardless of ability level), so that all students can fulfill their potentiality. Although someachievements about the study of gifted students have been made in the current world, butdomestic research in this field is relatively deficiency. Mathematics cognitive understandingis the central issue of mathematics education, and one of the focuses of reform in all thenations is to emphasize studying mathematics understanding.To explore the comprehensivequality of mathematics of gifted students, the research need to figure out what level giftedstudents achieved in mathematical cognitive understanding, and the characteristics andfirst-line classroom implementation of gifted education. How to improve the depth ofmathematics cognitive understanding of gifted students, and guide the growth of giftedstudents effectively are also the key points.First of all, the researcher reviewed the literature, modified and designed the levelframework of mathematical cognition understanding (ie operational understanding、conceptual understanding、 relevant understanding). Second, the researcher conductedinvestigation and systematical analysis for levels and characteristics of mathematicalcognitive understanding of more than80ninth-grade gifted students in four secondaryschools by means of questionnaires、interviews、classroom observation and other methods.The results showed that: students of ninth grade are embodied in the confusion ofdevelopment, their mathematical cognitive understanding levels are most in practicalunderstanding and conceptual understanding levels, rarely can achieve relevant understandinglevel. Mathematical cognitive understanding of ninth-grade gifted students showed diversecharacteristics.Secondly, through classroom observation the gifted education of mathematicalclassroom situation is summarized. The results showed that the energy of gifted students infour schools is excess, and, the reality is how gifted students are badly need of suitableeducation. Finally, according to the survey results, the suggestions for schools and teachers toimprove the gifted students’ education, promote gifted students’ mathematical cognitiveunderstanding and gifted education in mathematics were proposed.