Research On The Teaching Of High School Mathematics Trajectory Based On DBR

The track problem is a hot topic in college entrance examination.Especially in today's new curriculum standard college entrance examination to test students' awareness of innovation as a breakthrough,to test students' logical thinking ability,operation ability,ability to analyze and solve problems,and the trajectory problem can better reflect the degree of student's ability in this field.So it is very important to study the trajectory problem.However,the part of trajectory problem is abstract and dynamic variability,the use of traditional teaching media is often difficult to break,students are not well understood.In order to make up for deficiencies in the teaching,we can use the method based on the research of design,use the super sketchpad as an instructional design tool and design the trajectory of the teaching to improve the teaching effect.First,the research status and theoretical knowledge of the domestic and foreign related track issues,super sketchpad and design based on the research are studied through literature research;Through the high school mathematics teachers questionnaire,understand the current situation of senior high school mathematics track problem,leads to the reasons of choosing the super sketchpad;Then through the research method based on design,after two rounds of analysis,design,evaluation,modification,improvement,designed a set of effective exploratory teaching activities to support trajectory problems.Through interviews with the teacher,a survey of students,and statistical analysis,draw the conclusion: the use of Super Sketchpad,make up for the lack of teaching before,become a "static" to "dynamic" teaching,change the abstract to the concrete.The image shows the dynamic changes of intuitive graphics,a better understanding of the invariant features of dynamic graphics.More importantly,stimulated students' interest in learning,change their learning attitude to the problem of trajectory,and thinking about the problem with a new change in thinking,and harvest new methods of research problems.Exploring the problems of track in mathematics by means of supersketchpad helps solve problems which are not only challenging for teachers to clarify but also tough for students to understand,thus optimizing our teaching process.