Teaching Research On Conical Curve Problem Solving Based On Mathematics Improvement

Mathematical literacy is one of the six core qualities proposed by the new curriculum standards,and conic curve problem-solving teaching is a good carrier to cultivate students' mathematical literacy.High school students are not ideal in learning the conical curve comprehensive problem.In order to enable students to better grasp the comprehensive problem of conic curve,this study takes the first round of review in senior three as an example to discuss the teaching strategy of conic curve problem solving,improve students 'ability to solve conical curve problem,and cultivate students' mathematical operation literacy.This research mainly involves the following three aspects:(1)survey the teaching status of high school conic curve problem solving;(2)make an overall analysis of the national I-volume conic curve examination questions for the past five years,and summarize the basic question types and basic methods;(3)Discuss the teaching strategy of conic curve problem solving which promotes the improvement of mathematics literacy in combination with relevant teaching theories;when reviewing,students are reminded to think about the three types of question summaries.The basic method of thinking;created a simplified conditional method to teach complex topics,which is helpful for students to simplify and find ideas.This study used literature research methods,questionnaire survey methods,interview survey methods,and case study methods.Through the literature,it combed the research achievements on mathematical operation literacy and conic curve solving,and laid the theoretical foundation for teaching.Use questionnaire survey method and interview survey method to understand the current teaching status of conic curve.This paper analyzes the nationwide I-volume conic curve examination questions for the past five years,and summarizes three basic question types and their basic problem solving methods:(1)The basic problem type of "definition and standard equations".The definition of different types of conic curves and standard equations to solve;(2)The basic problem type of "geometric quantity and geometric properties",the basic solution method is to use the geometric relationship in the graph to list key equations(inequality);(3)"The intersection of a straight line and a conic curve" is the basic problem type.The basic method for solving the problem is simultaneous equations.The relationship between roots and coefficients is obtained using Veda's theorem.Based on the teaching theory and the research results of the survey,a strategy for solving the problem of conic curve teaching in the third grade of high school is proposed,and the first round of review in the third grade is used as an example to give the teaching case:(1)Activate old knowledge and clarify the basic question type;(2)Multiple methods for one question,deepen the basic method;(3)Simplify the question and comb the understanding of the question:(4)Variant training,improve the knowledge structure,and improve the decision type Ability and flexibility in problem-solving;(5)Focus on reflection,improve thinking quality,accumulate problem-solving experience,and cultivate students' metacognitive ability.