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You're a high school student now, so I'd recommend you read two books.
1.Mathematical Analysis
This is a very important foundation course in the Department of Mathematics. Some schools are called Calculus or Advanced Mathematics, which is relatively simple compared to Mathematical Analysis. The difficult ones are generally called "Mathematical Analysis".
There are many versions, just pick one and take a look. Of course, if you want to learn well, you still have to look at the textbooks used by famous schools, such as:
Mathematical Analysis Tutorial - Higher Education Press (divided into two volumes).
2.Linear Algebra
This is also a basic course in the Department of Mathematics and is very important. Some schools are called "Advanced Algebra", which is also relatively simple compared to "Linear Algebra", and it is generally called "Linear Algebra" is more difficult.
As. "Linear Algebra" - Li Shangzhi.
Author-Higher Education Press.
In addition, there are a number of courses that have:
Elementary Number Theory", "Analytic Geometry" (these two courses can also be seen).
The following is not recommended to see in advance).
Real Variable Functions (Difficult), Complex Variable Functions, Modern Algebra (Difficult), Differential Geometry, Ordinary Differential Equations, Partial Differential Equations, Topology, Probability Theory, Mathematical Statistics, Operations Research, Numerical Analysis, Numerical Algebra and many others.
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Elementary Mathematics Education Major:
The courses studied in the primary education major include pedagogy, psychology, sociology of education, philosophy of education, mental health and psychological counseling, basic modern Chinese, basic writing, children's literature, primary school Chinese curriculum teaching, primary school mathematics curriculum teaching, general psychology, modern Chinese, and a brief history of Chinese and foreign education.
Elementary Number Theory, Child Developmental Psychology, Chalk Character Training, Primary School Chinese Curriculum and Teaching, Teacher Comprehensive Training, Microgrid Mathematics, Primary School Mathematics Curriculum and Teaching, Introduction to the History of Chinese and Foreign Mathematics, Education and Psychological Statistical Measurement, Primary School Computer-Aided Teaching, Primary School Mathematics, Curriculum and Pedagogy, Principles of Education, Three Strokes and Stick Figures, Teacher Ethics, Ancient Chinese, Primary School Educational Psychology, General Psychology, etc.
Future Jobs for Mathematics Education Majors:
The employment direction of mathematics education major is mainly engaged in teaching research and management, practice and other work in primary schools, junior high schools or social education and training institutions, enterprises, careers, administration, mathematics teaching and management post groups.
This major cultivates teachers who have all-round development of morality, intellect, physique and aesthetics, have good professional ethics and humanistic qualities and modern educational concepts, master the basic theories, knowledge and skills of mathematics education, have preliminary mathematics teaching and research ability and application ability, and are engaged in mathematics education in primary and secondary schools.
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Summary. The courses of mathematics education majors include: advanced mathematics, linear algebra, probability and statistics, operations research, mathematical modeling, elementary number theory, modern educational technology, mathematics curriculum and pedagogy, psychology, pedagogy, etc.
What to study in elementary school mathematics education.
The courses of mathematics education majors include: advanced mathematics, linear algebra, probability and statistics, operations research, mathematical modeling, elementary number theory, modern educational technology, mathematics curriculum and pedagogy, psychology, pedagogy, etc.
I don't learn English or Chinese anymore, do I?
Yes. The teacher qualification certificate is taken once a year.
Most of them take the test twice a year, and there are also a few areas that take the test once a year.
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First of all, it is necessary to acquire the necessary theoretical knowledge of pedagogy.
Secondly, it is necessary to understand the theory of subject teaching.
Finally, theory is linked to practice. (Don't think it's empty talk, it's important to connect with reality!) )
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Intentions are the only way to learn.
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Whether it's a graduate or an undergraduate, which school is it, whether it's from the Faculty of Education or the Faculty of Mathematics.
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The main courses of mathematics majors are:
Mathematical Analysis, Advanced Algebra, Advanced Mathematics.
Analytic Geometry, Differential Geometry, Advanced Geometry, Ordinary Differential Equations, Partial Differential Equations, Probability Theory and Mathematical Statistics, Theory of Complex Variable Functions, Theory of Real Functions, Abstract Algebra, Modern Algebra, Number Theory, Functional Analysis, Topology.
Fuzzy math. Teachers also need to study mathematics and pedagogy.
Mathematics graduates should acquire the knowledge and abilities in the following areas:
1) Have a good and stable ideological character and social morality.
Professional ethics can be a role model for others.
2) Have a solid foundation in mathematics, and preliminarily grasp the basic theories and basic ideas and methods of mathematical science.
3) Have good computer skills.
(4) Have a good professional quality of teachers.
and the basic ability to engage in mathematics teaching, familiar with education laws and regulations, master and initially apply the basic theories of education, psychology and mathematics teaching theory, and have strong language expression skills and class management skills.
5) Master the scientific methods of physical fitness, develop good physical exercise and hygiene habits, and meet the national regulations on the physical fitness of college students.
Requirements for psychological quality and aesthetic ability.
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Students majoring in primary education mainly learn the basic theories and basic knowledge of related subjects in primary school, receive basic training in children's education skills, and master the basic abilities of education, teaching, research and management.
The courses of primary education include: Education, Psychology, Developmental and Educational Psychology, Principles of Moral Education, Mental Health Education, Educational Research Methods, History of Education, Sociology of Education, Philosophy of Education, Modern Chinese, Selected Ancient Chinese Literature, Selected Modern and Contemporary Chinese Literature, Selected Foreign Literary Works, Children's Literature, Literary Theory, Basic Writing, Primary School Chinese Course Teaching, Elementary Number Theory, Mathematical Analysis, Applied Mathematics, Primary School Mathematics Course Teaching, Primary School English Course Teaching, Primary School Nature Curriculum Teaching, Teaching of social and moral courses in primary schools, teaching of art courses in primary schools, modern educational technology, work as a class teacher, etc.
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Educational mathematics and mathematics education are both opposing and unified, and it is undoubtedly of great theoretical and practical significance to study the relationship between educational mathematics and mathematics education, and to find and establish the philosophical basis of educational mathematics.
Educational mathematics and mathematics education are united in the goals of mathematics education. The purpose of mathematics education is to enable the educated to master certain basic knowledge and basic skills of mathematics, and to help students learn to think mathematically. Educational mathematics is "for the purpose of mathematics education" and "to examine existing mathematical knowledge with a 'critical' eye."
This criticism, of course, is not to doubt the correctness of this mathematical knowledge, but to examine its applicability in education. "Selecting the best, or the best, mathematics knowledge suitable for mathematics education from the pin-off; find a better or optimal logical structure of mathematical knowledge suitable for mathematics education; Find a better, or better, way to solve the problem.
To help students better and more easily understand the basic knowledge and basic skills of mathematics, and learn to think mathematically, and then master the general thinking methods through mathematics learning. Therefore, the two are unified in the purpose of mathematics education.
To sum up, educational mathematics and mathematics education are both opposing and unified, and it is undoubtedly of great theoretical and practical significance to study the relationship between educational mathematics and mathematics education, and to find and establish the philosophical basis of educational mathematics.
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Mathematics education mainly studies the basic theories, basic knowledge and basic skills of mathematics education, has the research ability and application ability of preliminary mathematics teaching, can be familiar with the use of modern educational means and methods for mathematics education and teaching, and has certain education, teaching and research ability and class management ability. For example, students are trained in thinking to develop their logical thinking ability; Conduct pedagogical research on mathematics-related courses.
Key Ant Partner Words: Mathematics School Teaching and Research Luo He Naiji.
Professional books: "Mathematical Analysis", "Advanced Algebra", "Spatial Analytic Geometry", "Probability Theory and Mathematical Statistics", "Elementary Number Theory", "Basic Theory of Primary School Mathematics", "Primary School Mathematics Teaching Design", "Primary School Science Teaching Method".
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