The Research On The Application Of The Idea Of “the Combination Of Number And Shape” In High School Textbooks

This standard in the curriculum goal puts forward that students need to experience mathematics thoughts and methods that contain in these basic knowledge and skills in order to make themselves to acquire basic knowledge and basic skills of mathematics and understand basic mathematical concepts and application of conclusions.This shows that the teaching of mathematical thought and methods has been widely attached great importance and teachers should include these parts so that students can master these thoughts and methods to solve practical problems.This study briefly classifies high school teaching materials involved thoughts of combination of numeral and form and analyzes typical cases that embody these ideas in detail including analysis of teaching fragments,textbooks and teaching cases.Teacher and students all benefit from the analysis of textbooks and teachers have more intuitive guiding concepts in teaching.Moreover,teachers can have a better teaching combined with the characteristics of methodology of number-shape combination.As for students,this thinking method can help students to master and memorize the learned knowledge,subtly influence the awareness that students emerge.Meanwhile,this also trains students' thinking ability.The merits of this teaching and learning are of importance and practical significance for both teachers and students.The writer looks up domestic and foreign literature and researches of experts in this field and has a brief understanding of later research direction.Then,the writer reads over the chapters which present symbolic-graphic combination,analyzes the textbooks and audits the teachers' explanations of these typical cases in the junior class.After class,the writer asks students' perception and feelings,communicates with teachers,listens to opinions from teachers and students and widely exchanges their experience to complete the teaching design.Methodology of number-shape combination is popular among numerous thinking methods,which means that you can see it everywhere in textbooks such as questions before class,knowledge points and ideas and exercises and extended reading.It can help us to discover math problems.Therefore,the writer hopes to guide teachers to have new cognition of methodology of number-shape combination from lesson preparation and teaching based on this thesis.As for students,they can generate interests in math and have new cognition degree through analysis of this thesis.