Mathematics classroom is the main position for students to learn mathematics knowledge, and it is the key link for students to understand and master basic knowledge and skills, and develop their cognitive ability on this basis, so students should pay attention to lectures. Psychological experiments show that 15% materials can only be memorized by hearing, while 65% materials can be memorized by audio-visual perception in learning activities. Therefore, it is necessary to cultivate students' good habits of careful observation, careful listening and positive thinking in class, so that students can experience the refinement and rigor of mathematical language from teachers' interlocking expression, standardized drawing and concise blackboard writing, and standardize their own mathematical language imperceptibly.
Second, pay attention to say
The teacher is the leader of the classroom and an example for students to imitate. To improve students' mathematical language expression ability, teachers must first have excellent basic skills. When presenting in class, it should be clean and tidy, without procrastination and complications. Mathematical language should be accurate, standardized and logically expressed. It can make complex things simple, abstract things concrete and difficult things easy, fully embodies the characteristics of standardization, visualization and popularization of mathematical language, helps to stimulate students' interest in learning, expand their learning space, cultivate their reasoning ability, and lay the foundation for rigorous reasoning expression in the later period.
Paying attention to spoken language means paying attention to oral expression, which is helpful to cultivate students' logical thinking ability and mathematical language ability. In teaching, let students remember the names and symbols of concepts, let them tell their own thinking process of solving problems, accurately express mathematical laws and formulas in mathematical language, and clarify the connections and differences between knowledge. In the training process, students are required to accurately repeat the meaning in their own language without books, sort out the ideas of proving the theorem, and point out the ideas of the theorem in very concise language. From students' language expression, we can observe their mastery of knowledge and improve their oral expression ability.
In teaching, we should pay attention to the expression of the same mathematical object in different language forms and the mutual translation training of students in different language forms. For example, the concept of "the high line of a triangle" is translated into:
Concept name, written language, narrative symbol, language narrative, graphic language narrative
The high line AE of the triangle is the high line of Δ ABC or AE is the high line AE⊥BC in Δ ABC, and the vertical foot is E, or ∠AEB=∠AEC=90?
Similar concept expressions are numerous in the whole middle school mathematics teaching. If we can insist on mutual translation training, it will not only help students understand the essential attributes of concepts, but also lay the foundation for word proof and thinking development.
Third, pay attention to practice.
Attach importance to "painting" Graphic language is the visual language to perceive problems. There are generally two thinking processes for students to draw correct graphics: one is to imagine spatial graphics according to the meaning of the question, which is the thinking process of images; Secondly, through the prescribed rules, the spatial graphics in the mind are expressed graphically, which is a process of analyzing the internal structure of graphics and comprehensively using the related properties of spatial points, lines and surfaces. Therefore, the skills of painting can not be practiced overnight, and teachers should give targeted guidance in teaching. The graphics used in classroom teaching should be drawn on the spot as far as possible, so that students can see the whole process of drawing. In teaching, we should summarize the methods and laws of drawing in time. When introducing each new figure, students are required to draw it skillfully. In proof or calculation, it is necessary to change from simple to complex, so that students can draw pictures accurately according to conditions, and it is easier for students to find the starting point for solving problems or proving.
Develop the ability of written expression. Improving written expression ability is an important step to improve teaching quality. If we don't pay attention to it, students will get into trouble in their studies. To cultivate students' written expression ability, we should draw pictures, solve problems, prove, calculate and reason concisely and strictly in daily teaching. Students should be involved in the exploration of problem-solving ideas, and more students should perform on the blackboard. Teachers and students should find problems in written expression and correct them in time. Homework after class must be carefully corrected to help students overcome the problems in solving problems, praise excellent homework and show it to students, so that students can gradually reach the realm of "doing what they want and doing what is right".
In a word, students must go through a certain training process if they want to understand and master mathematical language well. Only through the teacher's popular, vivid and standardized language guidance and inspiration, supplemented by the above-mentioned training methods, can students' hands, eyes, brain and mouth be fully used, thus enriching students' language, breaking the shackles of students' understanding of concise language in textbooks, mobilizing students' learning enthusiasm, and enabling students to overcome their fear of difficulties in mathematics learning and smoothly enter the palace of mathematics kingdom.