Report on the study of effective ways of developing a knowledge system for mathematics in high schools
Contents
I. Report on the opening of the pedagogical study on effective ways to build a mathematics knowledge system in high school
Ii. Interim report on the study of effective ways of developing a knowledge system for mathematics in high schools
Iii. Pedagogical research report on effective ways to construct a knowledge system for mathematics in high schools
Iv. Pedagogical research papers on effective ways to construct a knowledge system for mathematics in high schools
Report on the opening of a study on effective ways to construct a knowledge system of mathematics in high schools
I. Background and significance of the topic
As educational reform progresses, high school mathematics education is facing the challenge of moving from knowledge transfer to competency development. In this context, the development of a science, system and efficient high school mathematical knowledge system has been the focus of educators. An effective methodological study of the construction of a high school mathematics knowledge system is aimed at exploring a teaching model adapted to the needs of the new age of education and providing theoretical support for improving the quality of mathematics education in our high school。
Research on effective pathways for the construction of high school mathematical knowledge systems is of great relevance. First, it has helped to improve the quality of mathematics education in upper secondary schools, to increase students ' knowledge of mathematics over a limited period of time and to improve their math literacy. Second, it helps to build students ' innovative and practical capacities and to make them more capable of solving real problems. Finally, it has helped to promote the reform of mathematics education in upper secondary schools and the modernization of education。
Content and objectives of the study
(i) research content
1. Analysis of the characteristics and status of the mathematical knowledge system in upper secondary schools, and identification of the basic principles underlying its construction。
2. To explore effective ways of constructing a mathematical knowledge system in upper secondary schools, including teaching strategies, teaching methods and curricula。
3. Analysis of the application of effective approaches to the construction of high school mathematical knowledge systems in practical teaching, taking into account practical teaching cases。
4. Based on the results of the research, propose strategies and recommendations for the implementation of an effective approach to the construction of a high school mathematical knowledge system。
(ii) research objectives
1. To propose a scientific, systematic and efficient method of constructing a high school mathematical knowledge system。
2. Identifying effective ways of constructing a high school mathematical knowledge system that provides educators with theoretical and practical guidance。
3. Validation of the feasibility of effective approaches to the construction of high school mathematical knowledge systems in practical teaching through practical case studies。
4. To provide a useful basis for the reform of the country's high school mathematics education and to promote the modernization of education。
Iii. Studies and steps
(i) research methodology
1. An overview of the literature: through a review of relevant literature, the results of research and developments at home and abroad on the construction of a mathematical knowledge system for upper secondary schools。
2. Empirical research: an analysis of the effective ways in which the mathematical knowledge system of upper secondary schools is constructed, taking into account practical teaching cases。
3. Comparative research methods: comparing the strengths and weaknesses of different teaching strategies and teaching methods in the construction of high school mathematical knowledge systems。
4. Logical analysis: based on research results, strategies and recommendations for implementation of effective approaches to the construction of high school mathematical knowledge systems。
(ii) research steps
Phase i: overview of the literature and analysis of the current situation. Collecting research results from the country and abroad on the construction of a high school mathematics knowledge system and analysing the characteristics and status of the high school mathematics knowledge system。
2. Phase ii: an effective way to build a high school mathematical knowledge system. (c) to explore effective ways of teaching strategies, teaching methods, curriculum development and so forth, taking into account practical teaching cases。
Phase iii: empirical research and case analysis. Practical studies have been conducted to test the feasibility of effective approaches to the construction of high school mathematical knowledge systems in practice。
4. Phase iv: summary and recommendations. Based on the results of the study, a strategy and recommendations for effective ways to build a high school mathematical knowledge system are proposed。
Phase v: preparation of studies. (b) collating research results and preparing a report on the opening of teaching and research on effective ways to construct a knowledge system of mathematics in high schools。
Expected accomplishments and research value
(i) expected accomplishments
1. Build a framework for a science, system and high-school mathematical knowledge system for the needs of education in the new age。
2. To develop a range of effective teaching strategies and methods built up by high school mathematical knowledge systems。
3. To propose strategies and recommendations for the implementation of the construction of a high school mathematical knowledge system that will provide educators with useful and operational references。
4. Preparation of a collection of teaching cases developed by the mathematics knowledge system of the high school, which will provide an input and reference for practical teaching。
5. To prepare a full report on the opening of a study on teaching the construction of a high school mathematical knowledge system, which will provide the basis for further research。
(ii) research value
1. Theoretical value: this study will provide a new theoretical perspective for mathematics education in upper secondary schools and will enrich and develop the theoretical system of mathematics education, which will guide the improvement of the quality of mathematics education in the country。
2. Practical value: research results will provide high school mathematics teachers with effective teaching methods and strategies to help them better organize their teaching and improve its effectiveness。
3. Social values: by improving the quality of mathematics in upper secondary schools, the study has helped to build more people with innovative and practical skills to contribute to the socio-economic development of the country。
4. Policy value: research results can inform educational policy makers, contribute to the reform of mathematics education in upper secondary schools and contribute to the modernization of education。
V. Progress plan for the study
1. Phase i (1-3 months): an overview of the literature, an overview of the current state of research at home and abroad, and a clear research framework and methodology。
2. Phase 2 (4-6 months): analysis of the characteristics of the mathematical knowledge system in upper secondary schools, construction of a framework for the mathematical knowledge system in upper secondary schools and exploration of effective teaching methods。
3. Phase 3 (7-9 months): empirical research, collection and analysis of practical teaching cases, and validation of effective ways of constructing a high school mathematical knowledge system。
4. Phase iv (10-12 months): summary of research results, preparation of studies, implementation strategies and recommendations。
Vi. Feasibility analysis of the study
1. Theoretical feasibility of the subject study: this study is theoretically feasible in the context of the reform of mathematics education in upper secondary schools, taking into account domestic and foreign research。
Practical feasibility of a study on the topic: the study is based on practical teaching cases and is practically feasible in combination with educational practice。
3. Conditions for research: the research team has a strong theoretical and practical experience in education and is able to ensure that research is carried out successfully。
4. Resource security for research on subjects: educational and teaching resources, documentation, etc., needed in the course of research are available under existing conditions, and resources are secured for research on subjects。
5. Policy support for research on subjects: the government attaches great importance to educational reform, which is in line with the policy orientation of the state and contributes to the reform and development of mathematics in upper secondary schools。
Interim report on the study of effective ways of developing a knowledge system for mathematics in high schools
I: research objectives
1. Build a framework for a science, systematic high school mathematical knowledge system to adapt to the needs of education in the new era。
2. To explore and develop effective teaching strategies and methods for the construction of a range of high school mathematical knowledge systems。
3. To propose specific strategies and proposals for the implementation of the mathematical knowledge system in upper secondary schools, with a view to improving the quality of education。
4. Validation of the viability and effectiveness in practical teaching of effective approaches to the construction of high school mathematical knowledge systems。
Ii: content of the study
1. Characteristics and status analysis of the high school mathematical knowledge system
- combine the basic structure and content of the high school mathematical knowledge system。
- analysis of the structure of the knowledge system of the existing high school mathematics materials。
- to explore the shortcomings and challenges of the high school mathematics knowledge system in the current educational context。
2. Theoretical basis for the construction of a high school mathematical knowledge system
- to study the theoretical basis for the construction of a system of mathematics in upper secondary schools, including the theory of cognitive development, the theory of educational psychology, etc。
- analysis of national and international research results and experiences on the construction of a high school mathematical knowledge system。
3. Exploring effective ways to construct a high school mathematical knowledge system
- to explore ways to construct a high school mathematical knowledge system based on curriculum content, teaching strategies and teaching methods。
- analysis of the applicability and effectiveness of different teaching strategies and methods in the construction of knowledge systems。
4. Implementation strategies and recommendations for the construction of a high school mathematical knowledge system
- to propose concrete strategies and recommendations for the implementation of the construction of a high school mathematical knowledge system。
- analysis of the feasibility and expected impact of implementation strategies and recommendations。
Iii: implementation
1. Overview of progress of the study
- an overview of the literature has been completed and the results of national and international research on the construction of a high school mathematical knowledge system have been consolidated。
- preliminary analysis of the characteristics and status of the mathematics knowledge system in upper secondary schools。
- establishment of a research framework and methodology and elaboration of a detailed research plan。
Preliminary development of research results
An initial framework for a high school mathematical knowledge system was developed, including knowledge modules, knowledge points, competency requirements, etc。
- studying the application of a variety of teaching strategies and methods in the construction of a high school mathematical knowledge system。
- collection of some practical teaching cases and preliminary empirical studies。
3. Problems and challenges encountered
- difficulties in the selection of cases and data analysis have been encountered in the collection and analysis of practical teaching cases。
- the theoretical basis for the construction of a high school mathematical knowledge system needs further in-depth study to improve the scientific nature of research。
- more empirical research is needed to validate effective ways of constructing a high school mathematical knowledge system。
Iv: proposed work
1. To deepen and refine the framework of the high school mathematical knowledge system in order to ensure its scientific and practical relevance。
