Research On The Method Of Proposing "Initial Problem" In Mathematics Teaching Design

Teachers propose a suitable“initial problem”is a basic and essential step in instructional design,mathematics instructional design suitable for students must contain a suitable“initial problem”.The so-called “initial problem” is a problem that can stimulate students to think,help students construct a mathematical knowledge structure,and enlighten students to think mathematically.“Initial problems” are divided into two types,application-type initial problems and structural-type initial problems,due to the different classifications,their methods for proposing are also different : for application-type initial problems,the main problem is to start from the actual application of the problem and then ask the question;the initial problem of structural type is focused on finding the structural connection between mathematical knowledge,so as to carry out follow-up work.This study mainly draws on five instructional design examples to give a brief example and explanation of the proposed method of “initial problem”.In first chapter,we lead the full text,mainly explaining why researching this subject,how this research can help teachers' daily educating and teaching,and which method to use for research.In second chapter,we summarize the previous research results from the three aspects of instructional design,“initial problems”and teachers' teaching reflection,and determines the research direction for this research.In third chapter,we explore the methods and strategies of designing“initial problems”from the theory and practice of mathematics teaching design.In four chapter,we use specific five teaching examples to explain how to propose two types of “initial questions”,through specific classroom implementation and teachers' reflection on teaching effects,the ways to optimize the “ initialproblems”are discussed.In fifth chapter,we summarize the theoretical and practical results of this study,and points out the shortcomings of the study.By the research on the method of proposing the “ initial problem ” in mathematics teaching design,it aims to help students better understand mathematics knowledge and provide teaching reference for first-line math teachers.