A Study On The Correlation Between Triangle CPFS Structure And Problem Solving Ability Of Junior High School Students

Math learning of junior high school students is closely related to cognitive structure.CPFS structure theory is put forward by Professor Yu Ping.It is an important topic for scholars to enrich and improve this theory.The ability of solving the math problem is one of the important abilities.Triangle knowledge exists in each chapter of the textbooks.Triangle knowledge has strong logic,which is beneficial to establish the whole system of mathematical knowledge and the application in daily life.For students,it is both the key point and the difficult point.By the experimental research,this thesis discusses the correlation between CPFS structure and the ability of solving problem of junior high school students.A test is carried out on students in Liaoning Technical University.First,descriptive statistics and the test of independent sample t are conducted on the collected data,which determines whether there are significant differences in CPFS structure and the ability of solving problem of junior high school students in gender and grade.Then the analysis of Pearson correlation is used to explore whether there is correlation.By using the variance homogeneity test and one-way analysis of variance,the causal relationship between them are explored.The degree of causality is quantified by further unary regression analysis.The conclusions are as follows: The triangle CPFS structure and the ability of solving problem of the most of junior high school students are in the middle level.And there is a significant difference between them in grade,but no significant difference between them in gender.There is a significant positive correlation between triangle CPFS structure and problem solving ability of junior high school students at 0.01 level.And there is a causal relationship.The non-standardized equation between them is Y= 1.080x +35.082,and the standardized equation is Y= 0.845x.The triangle CPFS structure of junior high school students can effectively predict the triangle problem solving ability.The reason is analyzed according to the research conclusion,then the thesis carry out the teaching research on how to improve the triangle CPFS structure and improve the ability of solving problem.