What are Mathematics Education Research Methods and What Are the Educational Research Methods?

Mathematics education is the education of mathematics, and mathematics teachers need to have good mathematical literacy. The rapid development of science and technology in the second half of the 20th century and the beginning of the 21st century has put forward higher and higher requirements for mathematics education in primary and secondary schools, and the reform of mathematics curriculum needs to constantly respond to the challenges of the times. It is an inevitable trend to incorporate some modern mathematics content and thinking methods (e.g., calculus, vectors, algorithms, coding, statistics, groups, etc.) into the secondary school mathematics curriculum.

Compared with the past, the content of the new mathematics curriculum that is being implemented has changed a lot, and many of the elective courses have not even been learned by teachers. The current curriculum involves a wide range of knowledge, which is difficult to fully grasp and deeply understand, so that the majority of middle school mathematics teachers are facing unprecedented crises and challenges.

I understand it as a strategy for the application of educational theories in mathematics education.

Educational theories are evolving, and methods are gradually improving.

The approach should not be limited to those, it should be pluralistic.

The goal pursued is efficient, conducive to human development and the application value of social development, especially scientific and technological development.

Educational Research Methods:

1. Case study method: The case study method is a qualitative research method widely used in education research today, and it is also a specific method of descriptive research and field investigation. It mainly examines educational phenomena through case studies, and its basic purpose is to describe and explain, and to explain in the process of description.

2. Action research method: Action research is an educational research activity in which teachers and researchers comprehensively use various effective methods to improve educational work in response to problems in practice. It integrates educational theory and educational practice, closely integrates educators and educational practical problems, and emphasizes research in "action", "situation", and "doing".

The basic process of action research is broadly divided into four steps, namely planning, action, investigation and reflection.

3. Survey and research method: Survey and research method is a research method in which researchers use questionnaires, interviews, observations, measurements, etc. to understand the current situation, investigate the facts, and collect materials, so as to improve the connection between educational problems and educational phenomena.

The Value of Education:

The value of the basic nine-year compulsory education lies in solving the primitive enlightenment of the educated population in moral, intellectual, physical, aesthetic, labor education, and science education. Promote and help educated populations to acquire the basic skills to accept and accept social life.

The value of the subsequent secondary and higher education such as technical secondary schools and universities lies in solving the problem that the educated population has basic scientific research, practice, experimentation, experimentation, imitation, and innovation enlightenment. Promote and help the educated population to have and accept the basic skills of specialization, industrialization, standardization, informatization and other production practices such as scientific invention and creation.

The value of vocational education and training lies in providing a steady stream of skilled talents for social industrialization, industrialization and economic development. Promote and help the educated people to understand the job operation process, employment after training, accept and apply for various occupational positions, and obtain basic skills for job operation.

The research methods of mathematics education include experimental method, observation method, investigation method, and comparative method.

Research Methods in Mathematics Education is a book published by Science Press in 2017, and the author is Ye Lijun.

The book comprehensively introduces the preliminary preparation of mathematics research, the application and establishment of the project, the detailed process of project implementation, the specific work, the specific research methods and the expression of the research results of the project. At the same time, the research methods of mathematics education are introduced in detail, and the writing norms, various writing methods, and ways to select topics are also introduced, and cases are equipped to illustrate.

The book is novel, refined, popular and practical, and has strong scientific, theoretical, practical and operable. This book adapts to the needs of the current mathematics curriculum reform, and has a good guiding significance for mathematics teachers to engage in mathematics education research.

Directory. Chapter 1: An Overview of Research on Mathematics Education.

Chapter 2: How to Choose a Research Topic for Mathematics Education.

Chapter 3: Formulation and Implementation of Mathematics Education Research Projects.

Chapter 4 Commonly Used Research Methods in Mathematics Education.

Chapter 5 Other Commonly Used Research Methods in Mathematics Education.

Chapter 6 Implementation and Presentation of Research Achievements in Mathematics Education.

Chapter 7 How to Write a Mathematics Education Pedagogical Instruction**.

Others: The survey and research method of educational science is to collect information on educational problems through the use of scientific methods such as observation, lists, questionnaires, interviews, case studies and measurements under the guidance of educational theories, so as to make scientific analysis and understanding of the current situation of education and raise questions.

Mathematics pedagogy is the study of what is as follows:

Mathematics pedagogy is a discipline that studies the practice and methods of mathematics teaching, aiming to improve the quality and effectiveness of mathematics teaching. The research objects of mathematics pedagogy mainly include the following three aspects:

Mathematics Learning Theory: This paper studies the process, rules and influencing factors of mathematics learning, and provides a psychological basis for curriculum theory and teaching theory.

Mathematics Curriculum Theory: The design, development and evaluation of mathematics curriculum, including curriculum content, teaching materials, teaching objectives, etc.

Mathematics Teaching Theory: The practice and methods of mathematics teaching are studied, including teaching strategies, teaching methods, and evaluation methods.

Mathematics pedagogy is an emerging interdisciplinary field, which involves multiple disciplines such as mathematics, education, psychology, and cognitive science. The research content and methods of mathematics pedagogy are also constantly developing and updating, in which experimental research and theoretical research are combined with each other, and have been widely used and promoted.

In addition, mathematics pedagogy is one of the hotly debated topics in modern society. With the development and application of information technology, mathematics education is also facing new challenges and opportunities. Therefore, the research and practice of mathematics pedagogy has important practical significance and development prospects.

In conclusion, mathematics pedagogy is a discipline that studies the practice and methods of mathematics teaching, aiming to improve the quality and effectiveness of mathematics teaching. The research objects of mathematics pedagogy include mathematics learning theory, mathematics curriculum theory and mathematics teaching theory. Mathematics pedagogy is an emerging interdisciplinary field, which has important practical significance and development prospects.

Mathematics Education Research:

Mathematics Education: Students are taught the calculation of numbers, the calculation of known and unknown quantities, algebraic calculations, the calculation of lengths, areas, volumes, etc.

Specific methods: traditional education, enlightenment education, etc.

Mathematical Studies: Relationship between quantities, relationship between known quantities, relationship between known quantities, relationship between known quantities and unknown quantities, relationship between unknown quantities and unknown quantities, relationship between numbers and shapes, relationship between shapes.

Specific methods of annihilation: calculus punching research, simple calculation, clever calculation; The combination of numbers and shapes, the study of geometry with algebraic formulas, and the solution of intuitive geometric shapes make the problem simple and clear. Variable substitution to make the calculation concise. Equation solving, clear thinking Parity analysis, solving integer problems.