| Function concept is one of the most important concepts in middle school students. In this paper, the variables from the concept of middle school students, the corresponding concept, function definition, function representation, the application of the concept of function level of junior secondary students to study the development of the concept of function. After analysis and comparison, the following conclusions:(1) Middle school students the concept of a function of development is not a linear increase, but fell back when the eighth grade, ninth grade students the concept of cognitive function was significantly higher than seven or eight years class. A function of different students the concept of significant differences in development.(2)Function of the concept of gender differences in development only in the eighth grade, there was a significant difference, in the seventh grade and ninth grade, there was no significant difference.(3) Corresponds to the concept is a function of the nature of attributes, the students with the grade of the corresponding growth of the concept of development, but there was no significant difference.(4)Junior high school student's understanding of the variables with the year although significantly enhanced growth, but most students still can not entirely change, movement, perspective issues, the letters in the same variable.(5) In the function that the three methods, the law students to image the only function of cognition best analytical function to the vulnerability of the cognitive function of the form studied the impact of law on the form function Cognitive vulnerability to the effects of variable letters.(6)Function in the application of the concept of problem-solving, the students to use analytical function than the image method. |