Research On The Design Of High School Mathematics Micro-course Based On Problem Solving

With the rapid development of the Internet age,learning has become increasingly fragmented and autonomous.Micro-courses are short,pithy,flexible and convenient,highly fit the characteristics of the new era of learning,so that it is highly valued by domestic and foreign education when appears.Some studies have shown that the problem solving ability is closely related to our life,but high school students have a big problem in learning about mathematical problems.Although the research on mathematics problem solving and micro-course has been quite rich research at home and abroad,the specific application research of micro course in mathematics problem solving is still missing.Although,the research on mathematical problem solving and micro course has been studied a lot at home and abroad,but the specific application research of micro course in solving mathematical problems is still lacking.Therefore,it is necessary to study the problem-solving ability of high school mathematics problem solving,which is necessary not only to enhance the problem-solving ability of high school students,but also to change the teaching of problem-solving teachers.Combined with the experience of personal education practice,this paper analyzes the problems existing in solving the problems of mathematics problems of high school students and explores the factors that affect the problem solving and summarizes the elements of its teaching design.On the basis of the generalization of the related concepts of micro-cultures,the concept of micro-course and micro-curriculum is further distinguished.At the same time,drawing on the micro-curriculum design at home and abroad,summed up the process of micro-course design.Then,based on the theory of constructivism,fragmented learning,autonomous learning and refinement theory,the research direction and content of this thesis are determined,which is the research on mathematical micro-curriculum of senior high school based on problem solving.Specific research is as follows:Firstly,on the basis of domestic and foreign literature on mathematical problems and micro-courses related literature,the study of high school mathematics problem solving and micro-curriculum combined with the domestic research status,which is the current lack of such research aspects.At the same time,it is an overview of the mathematical problem solving and the related concepts and theoretical basis of the micro-culture,which makes the research of this thesis more feasible and necessary.Secondly,through the analysis of the problems of mathematics problem solving and learning,the similarities between the two are the problems,the teaching through the problem,so as to stimulate the learners to learn the purpose of active learning.And then on the basis of the mathematical problem-solving micro-courses were defined and summed up the design pattern.Finally,we select a student of high school sophomore in Shenzhen as a research object,and design some problem-solving mini-courses from the three aspects of topic selection:topics,design idea and production respectively,and select two cases-"cosine theorem","function image" experiment",The function experiment is designed to solve the practical application of the micro-curriculum design pattern in the high school mathematics problem,and then combine the questionnaire survey way to get the high school students' high recognition of the mathematical problem-solving micro course and to verify the feasibility of such a micro-curriculum design model.