Research On Teaching Design Of Equations Of Lines And Circles In High School Based On Deep Learning

Deep learning refers to the learning in which students actively participate in challenging learning tasks under the guidance of teachers,learn critically,integrate new knowledge with old knowledge on the basis of understanding the essence,and can transfer and apply knowledge,solve problems,and reflect and evaluate knowledge.In today’s rapid social development,education pays more and more attention to the cultivation of human capabilities,and deep learning as an efficient learning method has received more and more attention from the education community.The equation of line and circle is one of the important contents of optional compulsory high school,which is an introductory course for students to learn analytical geometry,which is of great significance for students to understand the idea of combining numbers and shapes,and has a wide range of applications in real-life problem solving.Although the equations of lines and circles are an important part of analytic geometry,there has long been a neglect in teaching to dig deep into this part.Therefore,how to apply the theory of deep learning to the teaching of equations of lines and circles has become an urgent problem.In this context,this thesis studies "How to Teach Design of Equations for Lines and Circles Based on Deep Learning".Firstly,the literature research method is used to summarize the characteristics of deep learning,and on this basis,the questionnaire method,interview method and experimental method are used to study from the three perspectives of status investigation,process construction and teaching practice,and the following conclusions are obtained:First,the questionnaire method and interview method are used to understand the current situation of deep learning in mathematics for high school students from the perspectives of students and teachers,and the teaching suggestions of front-line teachers on the equation of straight lines and circles.The survey results show that most high school students have passed the deep learning level,but there are problems such as unsolid knowledge,insufficient problem-solving ability,poor critical thinking,and weak reflective evaluation ability.Second,according to the current situation of deep learning in mathematics for high school students and the teaching suggestions of the equations of lines and circles,combined with the deep learning route,the teaching design process of the equations of lines and circles based on deep learning is analyzed,and each step of the process is explained accordingly,and finally the case of teaching design is given according to the process.Third,the experimental research method is used to carry out the research results of the above teaching design in the middle school classroom,and the results show that the teaching design is better than the conventional teaching effect in practical application from both the aspects of students’ test results and teachers’ listening feedback.