What does the teacher qualification certificate test for high school mathematics?

The subjects of senior high school mathematics teacher qualification examination are comprehensive quality, educational knowledge and ability, subject knowledge and teaching ability.

The questions are multiple-choice questions and non-multiple-choice questions. Among them, non-multiple choice questions include short answer questions, discussion questions, solution questions, material analysis questions, evaluation questions, diagnosis questions, analysis questions, teaching design questions and activity design questions.

Examination content modules and requirements

1. Subject knowledge

Mathematics subject knowledge includes mathematics knowledge in basic courses for undergraduate mathematics majors and high school courses.

The basic knowledge of undergraduate mathematics major refers to the contents closely related to middle school mathematics in university courses such as mathematical analysis, advanced algebra, analytic geometry, probability theory and mathematical statistics, including the basic knowledge of series limit, function limit, continuous function, unary function calculus, vector and its operation, matrix and transformation, probability and mathematical statistics and so on.

Its content requirements are: accurately grasp the basic concepts, skillfully calculate, and be able to use this knowledge to solve the problems of middle school mathematics.

Mathematics knowledge in senior high school refers to all the contents of compulsory courses, elective courses series 1 and 2, and elective courses 3- 1 (selected lectures on the history of mathematics), 4- 1 (selected lectures on geometric proof), 4-2 (matrix and transformation) and 4-4 (coordinate system and parameters).

Its content requirements are: understanding important concepts in high school mathematics, mastering important formulas, theorems, rules and other knowledge in high school mathematics, mastering common thinking methods in high school mathematics, and having basic abilities such as spatial imagination, abstract generalization, reasoning and argumentation, operational solution, data processing and comprehensive application.

2. Course knowledge

Understand the nature, basic ideas and objectives of high school mathematics curriculum.

Be familiar with the knowledge system of teaching content stipulated by the curriculum standard and master the requirements of the curriculum standard for teaching content.

Understand the characteristics of knowledge arrangement in each module of curriculum standard.

I can use Curriculum Standards to guide my own mathematics teaching practice.

3. Teaching knowledge

Understanding the teaching process includes preparing lessons, classroom teaching, homework correction and inspection, mathematics extracurricular activities, mathematics teaching evaluation and other basic links.

Master the commonly used mathematics teaching methods such as lectures, discussions, self-study counseling and discovery.

Master the basic contents of mathematics teaching knowledge such as concept teaching and proposition teaching.

Master cooperative learning, inquiry learning, autonomous learning and other middle school mathematics learning methods.

Master the basic knowledge and methods of mathematics teaching evaluation.

4. Teaching skills

(1) Teaching Design

According to students' existing knowledge level and mathematics learning experience, accurately grasp the relationship between teaching content and students' knowledge.

According to the requirements of curriculum standards and students' cognitive characteristics, teaching objectives, teaching priorities and difficulties can be determined.

It can correctly grasp the content of mathematics teaching, reveal the development process and essence of mathematical concepts, laws and conclusions, infiltrate mathematical thinking methods and embody the consciousness of application and innovation.

Can choose appropriate teaching methods and means, reasonably arrange the teaching process and teaching content, and complete the teaching plan design of the selected teaching content within the specified time.

(2) Teaching implementation

It can create a reasonable mathematics teaching situation, stimulate students' interest in learning mathematics and guide students to explore, guess and cooperate.

According to the characteristics of mathematics subject and students' cognitive characteristics, teaching methods and means can be properly used to effectively carry out mathematics classroom teaching.

Be able to correctly handle various problems in mathematics teaching in combination with specific mathematics teaching situations.

(3) Teaching evaluation

Different ways and methods can be used to properly evaluate students' knowledge and skills, processes and methods, emotions, attitudes and values.

Ability to evaluate teachers' mathematics teaching process.

Teaching evaluation can improve teaching and promote students' development.