Study On Problem Design Of Conceptual Teaching From The Perspective Of Deep Learning

Mathematical concept is the "scaffold" of mathematical thinking.The teaching effect of mathematical concept will affect the development of students' interest in learning and thinking level.In order to teach mathematical concept class well,mathematics teachers need to design teaching strategies carefully before class,especially the design of problems<According to the general senior high school mathematics curriculum standard(2017 Edition)revised in 2020>,in the proposition,choosing the appropriate problem situation is an important carrier to test the core literacy of mathematics.In order to solve the problem smoothly,students need to have a solid foundation of relevant mathematical concepts,and timely and accurately adjust the relevant mathematical concepts,formulas and theorems.Unfortunately,due to heavy teaching tasks and complicated affairs,many mathematics teachers do not pay enough attention to teaching design and do not spend a lot of time on problem design.They often rely on their own teaching experience or "on-the-spot play".This will easily lead to students' concept acquisition is not solid,there is no network of concept knowledge.Therefore,it is very meaningful to study the concept teaching,especially the key of concept teaching,that is,the problem design.Most of the current research focuses on the research of "problem string".Because the problem string has strong logic,the reference value is not very great,so the author studies the problem design in the key stage of teaching.Guided by constructivism theory,PME theory and deep learning theory,combined with questionnaire survey and analysis,and referring to a large number of instructional design and teaching videos,this study summarizes six specific manifestations of problem design from the perspective of deep learning:(1)clear goal,(2)direct attack on essence,(3)overall architecture,(4)independent generation,(5)discrimination and application,(6)relevance fusion.Under the guidance and modification of off campus tutors and front-line teachers,this paper makes a detailed problem design and concept teaching design strategy for the four concept teaching of function concept theme,and puts forward five steps for the problem design teaching mode of concept teaching from the perspective of deep learning:(1)concept introduction,(2)concept generation,(3)concept analysis,and(4)concept analysis,(4)Concept application and(5)concept path.The goal,total problem and subproblem are designed in each step.This model has been studied by the author in the practice school,and achieved good teaching effect.