Research On Teaching Design For Mathematical Understanding

Mathematics is an important part of human culture,and mathematics literacy is the basic accomplishment of every citizen in modern society.Mathematics education bears the function of carrying out the basic task of moral education and cultivating students'mathematical literacy.The teaching design of mathematics understanding is the key to the implementation of mathematics education.The research on it will help to optimize teaching methods,improve the learning effect of students,and guide teachers and students to carry out teaching activities smoothly.Firstly,this thesis discusses the reasons for the topic selection,and then makes a literature review from the three aspects of "mathematical understanding","instructional design" and related research,and reviews the research history and development at home and abroad.Secondly,the related basic concepts are defined,with "Vygotsky's cognitive development theory","Constructivism theory" and "SOLO classification theory" as the theoretical basis.At the same time,through teacher interviews and student questionnaires,the author conducted a survey on the current situation of mathematical understanding and teaching design,and found that most teachers and students' understanding of mathematics is still limited to memory understanding and explanatory understanding,and inquiry understanding is far from enough.On the basis of literature analysis and teaching practice analysis,this thesis expounds the necessity of teaching design for mathematical understanding,and puts forward the principles of design subjectivity,adaptability,mathematics,guidance and development.And from the aspects of student analysis,learning content design,teaching goal design,teaching process design,teaching evaluation design and so on,this thesis studies the strategy of teaching design that points to mathematical understanding.In the end,the teaching design of chapter beginning course,new teaching and mathematics activity course is carried out,and the effect of teaching is tested.The research shows that:first of all,teachers must pay attention to students'mathematical understanding,and the realization of students' mathematical understanding is the value pursuit of teaching design.Secondly,teachers should study students' understanding of mathematics,adhere to certain principles in teaching design,master the strategies and methods to promote students' understanding of mathematics.At the same time,teachers should evaluate students' mathematical understanding,through scientific evaluation and guidance to implement students' mathematical understanding.