| Based on the current new curriculum standards and the era background of educational concept reform under the "double reduction" policy,we should practice the concept of morality and cultivating people,change the classroom tendency of teachers to "one-word teaching" and pursue the ecologicalization of high school mathematics teaching," N-segment · Four Rings " project-based teaching has gradually walked into people’s vision,actively creating a new teaching model for the current teaching reform.This paper focuses on the study of the " N-segment · Four Rings " project-based high school mathematics theorem teaching design model under the concept of ecological education,and is divided into seven chapters.Chapter 1 mainly describes the research background,significance,research purpose and method of this paper;Chapter 2 defines the main concepts and sorts out the relevant research status and theoretical basis,thus elaborating the relationship between the " N-segment · Four Rings " project-based teaching and ecological education theory;Chapter 3 analyzes the application value of the project-based teaching paradigm of "N-segment · Four Rings" in the teaching of high school mathematics theorems,and summarizes it into three points: reasonably control the teaching rhythm,help students learn in depth,and strengthen mathematical thinking methods;Chapter 4 investigates the current situation of the teaching and learning of mathematical theorems in high school by means of questionnaires and interviews;According to the survey results in Chapter 4,Chapter 5puts forward the teaching principles and strategies of the project-based teaching design of "N-segment · Four Rings" under the concept of ecological education according to the existing problems.;Chapter 6 gives the teaching design cases and case analysis according to the proposed strategies and teaching frameworks;Chapter 7 is the summary,inadequacies and follow-up prospects of this research.The research results of this paper mainly include the following three aspects:(1)Through references and actual surveys,the four principles of applying ecological education theory to the project-based teaching of "N-segment · Four Rings" in high school mathematics are summarized:the principle of dynamism and openness,the principle of pluralism and diversity,the principle of projectization and relevance,the principle of harmony and interaction.(2)Based on the concept of ecological education,the project-based teaching mode of " N-segment · Four Rings " high school mathematics theorem includes five first-level projects of discovering theorems,mining theorems,deriving theorems,applying theorems,and reflecting the theorems.The connection between projects is smooth,the correlation is strong,and the integrity is high,which can reflect the progress of classroom teaching objectives.(3)According to the analysis of teaching cases,"thinking" and "acting" are the learning methods that students use and perform the most in the " N-segment · Four Rings " project-based teaching classroom,and "learning" and "thinking" are equally important in teaching status.Finally,we should not only focus on students’ "learning,thinking,and doing",the majority of teachers should focus on extension and development of students in the "introspecting" when designing the teaching process. |