A Study Of Teaching Design About Mathematics "Comprehensive And Practice" In Middle School Based On Problem Discovery

The rapid development of global knowledge has ushered mathematics into a new era.one of the most notable achievement is the unprecedented develop ment of mathematical application and the innovative cultivation of students in mathematics.In order to respond to the requirements of the knowledge econom y and to adapt to the ethical values of mathematics,"four ability" instead of "two ability" can be introduced into the general objective of the curriculum,(th e ability to find and raise questions,the ability to analyze and solve problems).What’s more,the course content of each section is composed of "Comprehensi ve and Practice",instead of "Practice and Integrate",and Number and Algebra","Graphics and Geometric","Statistics and Probability".Curriculum in the third period requires students to study through "Comprehensive and Practice",and g radually to learn to find problems in specific context to ask questions,to enha nce the innovative consciousness from the perspective of mathematics.Therefor e,how to effectively use the platform of "Comprehensive and Practice",to let students find questions in a relaxed and pleasant mathematical atmosphere,so as to achieve the purpose of training students’ ability to discover problems hav e become a problem that teachers must solve.In this dissertation,it adopts literature research,theoretical analysis,case a nalysis and interviewing method to define the concept of "Comprehensive and Practice" and "Problem Discovery",and discusses the feasibility of the research and the principles and methods of mathematics teaching design in middle sch ool based on problem discovery.The dissertation is divided into three parts.Part one,on the basis of access to information,I use theoretical analysis t o define the concept of "Comprehensive and Practice" and "Problem Discover y",I will discuss the feasibility of training students to discover problems from three aspects: The first to discover questions from the process of "Comprehensi ve and Practice",the second to provides a platform to find problems and the t hird to find the problem.Part two,using the theoretical analysis on the Dewey’s theory of "learning by doing",the Credential’s theory of "Mathematization" and "Re-creation" an d the Bruner’s discovery learning theory,the Constructivism theory.It discusses the principles of teaching design about mathematics "Comprehensive and Pract ice" in middle school based on problem discovery.That’s principles of teaching democracy,principles of adaptability,principles of creation,principles of disco very.Case analysis method is used to analyze cases study of "Comprehensive and Practice",and the ability to discover problems.This dissertation puts forwa rd some constructive and practical teaching methods for middle school mathem atics based on problem discovery.Part three,according to the principles and methods of teaching design of mathematics "Comprehensive and Practice" in middle school,from the analysis of the teaching content,the analysis of the learning situation,the teaching obj ectives and the analysis of the difficulties,the design of teaching process as w ell as the teaching design instruction,it selects “exploring the magical magic s quare carries” from BNUPH to design a course.At the same time,it interview s students in seventh grade from one middle school in Chongqing.