Design And Application Research Of Personalized Learning Supporting Tools For High School Function Knowledge

High school mathematics is a basic subject in university. It plays a vital role in cultivating logical thinking ability, especially innovative thinking ability. Its core aim is to make students learn how to solve practical problems in life, so as to develop independent study and inquiry-based learning ability, and cultivate logical and creative thinking ability. In present high school mathematics teaching, most just finish knowledge learning, give priority to teacher’s lecturing and students accept it passively. Due to the abstraction of high school mathematics, most students lack of interest in learning,have no motivation, creative thinking ability is very difficult to reach. There are two main reasons. On one hand, the high school mathematics learning model exists problem, which embodies in the deviation of teaching goal and unsuitability of learning methods, etc. On the other hand, lacking of effective learning support environment and necessary support conditions, makes teachers difficult to organize personalized learning.In order to solve those problems, this paper focuses on the high school math function, it carries on the in-depth research on how to make the students learn actively, personalized, happy and relaxed as well as wisely. This paper carries on the thorough research and design on smart learning model and personalized learning support tool of high school mathematics by returning practical knowledge back to life, which let the students choose the right way to get knowledge according to their own situation, can be tested personalized and improve targeted, individually sort out the means and knowledge system of solving problems and so on. The specific research results are as follows:1. It analyzes the learning features of high school functions systemically, investigates and statistically analyzes the main bottleneck problems of personalized learning, and then presents the survey results and the deep reason of these problems.2. On the basis of analysis and comparison for the most representative learning support tool Math 3.0, geometric sketchpad and super sketchpad, combined with the cause of high school function bottleneck question analysis, it put forwards the function learning support tool structure system that can stimulate function-learning interest, acquire function knowledge, test and improve personalized, sort out the means and knowledge system individually.3. This paper analyzes the difficulties on simple linear programming, the value of quadratic functions on closed interval, the definition and its properties of exponential function. It designs practical problems and personalized inquiry tool that can drive students inductive learn; for listening and directly accepting knowledge, this article provides the problems that can help students comprehend knowledge, also designs a supporting tool that can help teachers explain and is conducive to understanding knowledge personalized.4. This article systemically analyzes the possible application on practical teaching in personalized learning tool simple linear programming, the value of quadratic functions on closed interval, the definition and its properties of exponential function, and gives different support means of personalized attention, independent acquisition and cooperative study, after that statistically analyzes the effectiveness of learning support tool.