Teacher Recruitment Interview Trial Lectures, Essential Highlights of "Trial Lectures" for Mathematics Subject Interviews

First of all, the explanation of mathematical knowledge must be comprehensive, and at the same time, there must be no shortage of teaching links. Mathematics teaching content must be rigorous, reflect the scientific nature of the content, use mathematics to develop students' logical thinking abilities, and conduct targeted teaching according to the students' level.

1. Comprehensiveness

First of all, the comprehensiveness of knowledge explanation. Candidates who need to prepare for the primary school, junior high school, and high school respectively should comprehensively review the knowledge of each school level when preparing for the exam, and master the distribution of knowledge, teaching objectives, teaching focus, etc. For example, in the "Pythagorean Theorem" in junior high school mathematics, the origin, content, and proof of the theorem need to be explained, focusing on the proof reasoning of the area method.

Secondly, there is no shortage of teaching links. Each class should contain four parts: introduction, teaching new knowledge, consolidating and applying new knowledge, and review summary and homework. The specific links into which each part is divided or the methods used to implement it vary from person to person. For example, the part about teaching new knowledge can be divided into two parts: preliminary introduction of concepts and in-depth explanation of key concepts.

Finally, pay attention to students at every different level. In each class, students' learning status is uneven. When teachers teach knowledge, they pay attention to all students, whether it is the setting of questions or the participation of students. For example, when a question is asked, some students can answer it and some students cannot. The teacher provides guidance and ultimately helps the students who do not understand understand the knowledge.

2. Rigor

The rigor of mathematics teaching content is reflected in the scientific nature of the content, the development of students' logical thinking ability, and the reasonable estimation of students' acceptance ability. Candidates must be accurate when explaining relevant concepts, rules, laws, algorithms, causal relationships, etc. in mathematical knowledge. It is also necessary to ensure that the teaching language is accurate and cannot be vague or ambiguous. It is necessary to combine text language, picture language, and symbolic language to ensure that the concepts of numbers, the meaning of calculations, and other knowledge are explained clearly and easily. Just like the concept of dihedral angle in high school mathematics: the figure composed of two half-planes starting from a straight line is called a dihedral angle, not "a figure composed of two half-planes". The operation principle of fraction division in primary school mathematics: dividing a fraction by a non-zero number is equal to the fraction multiplied by the reciprocal of this number, and "not zero" cannot be missed.

3. Interesting

Teaching method: In the teaching process, students are the main body. Flexible and diverse teaching methods should be adopted when selecting teaching methods. There are explanation methods, discussion methods, demonstration methods, experimental methods, practice methods, group teaching methods, situational teaching methods, game methods, task-driven methods, etc. Generally speaking, it is recommended to use a combination of 3 to 4 methods to carry out teaching activities in one class. In primary school mathematics teaching, it is recommended to choose methods such as explanation method, situational teaching method, experimental method, and game method. In teaching in middle and high schools, it is recommended to choose methods such as explanation method, practice method, group teaching method, and task-driven method.

Teaching process: In the teaching process, attention should be paid to highlighting the key points, being clear, compact and reasonable. The arrangement of various activities also focuses on interaction and communication to maximize students' enthusiasm and initiative in class. It is divided into four parts: introduction of new lessons - teaching of new lessons - consolidation and improvement - summary of homework.

① When introducing new lessons, we should pay attention to pertinence, inspiration, simplicity, intuitiveness, and fun. You can choose direct import, review the past and learn new things, life examples, set questions, experiments, games, etc. method. For example, the content in primary school and junior high school is closely related to life, such as solving practical problems with various numbers, triangles, and equations. More methods such as real-life examples, setting questions, experiments, and games can be used. High school knowledge is more theoretical, such as functions, algorithms, conic sections, etc., and methods such as directness, reviewing the past to learn new things, and setting questions can be adopted;

② New course teaching should focus on clear ideas and appropriate rhythm when explaining knowledge. Highlighting key points and breaking through difficulties, reasonably setting up diversified interactions, and diversifying evaluations of students' performance are all indispensable.

Interactive methods can include group discussions, hands-on experiments, task solving, etc.;

③Consolidation and improvement should focus on knowledge points that need to be remembered, understood, and mastered. Use methods such as solving problems or carrying out activities to test students' understanding of this section. The mastery of class knowledge, such as group competitions, games, etc.;

④ In summary assignments, attention should be paid to the use of summary, linking up, suspense, comparison and other methods to allow students to give more feedback on their absorption of knowledge. , and the homework is mostly recommended to be non-written homework such as activities and oral homework.