How to learn math well in senior one? This problem, it is impossible to describe clearly in a few words, I just briefly talk about my feelings:
1. Solve the difficulty of getting started
There are two important concepts: negative numbers and algebraic expressions. ① Rational numbers were explained at the beginning of senior one math class, and the number field suddenly expanded to a negative range, which many students could not accept soon. On the one hand, teachers are required to proceed from reality as far as possible when explaining, on the other hand, students are also expected to understand its essential attributes as soon as possible and establish the concept of negative numbers. (2) Algebraic expression is another important concept, because students who have just entered senior one generally have a soft spot for arithmetic expressions, and it is difficult for them to change their thinking immediately, which holds the success or failure of knowledge cohesion.
There are some faults in mathematics education in primary and secondary schools, which can be said to be the mutation of some knowledge points. If these mutations cannot be handled correctly, even children with excellent grades in primary school may not be able to achieve very satisfactory results in junior high school.
2. Pay attention to the details of knowledge
Let's give a simple example: for students who are new to negative numbers, many will think that -a is negative, but in fact "-"can have three meanings, MINUS sign, negative sign and opposite number. The "-a" here is just the antonym of "a". For example, ask some students such questions: When is the value zero? Generally speaking, x=0, but the limitation of x is often ignored.
It can be said that there are not many difficulties in junior one mathematics, but more basic concepts and calculations. If you don't grasp the details, even those excellent students will lose points because of the so-called "carelessness".
3. Establish mathematical thinking
The new nine-year compulsory education junior high school mathematics syllabus points out that the basic knowledge of junior high school mathematics refers to the concepts, laws, properties, formulas, axioms, theorems and mathematical ideas and methods embodied in their contents. Personally, it is much more important to master mathematical ideas than knowledge points. In fact, mastering every mathematical thought is a way of thinking, but it is abstract and difficult to master. The mathematical thoughts I summarized mainly include: the combination of numbers and shapes, holistic thinking, inductive thinking, extreme thinking, special thinking, symmetrical thinking, reverse thinking and so on.
Since it is an idea, it means it has a wide range of applications. For example, the idea of the combination of numbers and shapes mainly emphasizes the corresponding relationship between absolute value and distance in senior one mathematics teaching, but it is also useful in other aspects. For example, there is such a formula:
I usually draw a picture like this to explain the comparison to my children:
The most important thing is to let children realize the power of mathematical thinking and really like this way of thinking through explanation.
Cultivate interpersonal relationships
Maybe you will wonder, what is the relationship between learning math well and interpersonal relationship? In the second issue of Educational Psychology in 2007, Dr. Zhang Shudong of Beijing Normal University published an article entitled "A Study on the Relationship between Test Anxiety of Interpersonal Relations and Test Results of Junior One Students". The original conclusion is as follows for your reference:
"The study found that interpersonal relationships have a significant impact on test anxiety. The better the interpersonal relationship, the lower the test anxiety. Good interpersonal relationships will make people feel comfortable and secure, and some negative emotions are not easy to produce. Moreover, good interpersonal relationships can enhance people's self-confidence, and the improvement of self-confidence will reduce the degree of test anxiety. "
"Several problems that should be paid attention to in improving interpersonal relationship: 1, initiative. 2. Improve the ability of role selection. 3. Keep an open mind. 4. Treat jokes correctly. "
"Interpersonal relationships are significantly related to math scores. The better the interpersonal relationship, the higher the math scores. Mathematics achievement is related to people's thinking characteristics, and the thoroughness, flexibility and flexibility of thinking directly affect the solution of mathematics problems. Interpersonal relationship is also related to the characteristics of thinking, which affects people's attitude towards things and what kind of behavior they take. Attitude and behavior towards things directly affect what kind of interpersonal relationships people form. "
"Interpersonal relationship has nothing to do with Chinese performance, because in the first grade, Chinese learning is closely related to memory, and the difference in memory will not seriously affect the quality of interpersonal relationship."
5. Others
The others mentioned here are nothing more than what we often mention: taking notes carefully, asking questions if you don't understand, actively discussing, summing up wrong questions and so on. So I won't go into details one by one. In my experience, the method mentioned here is not absolute. It should be emphasized that the most important thing of any method is effectiveness. Students must avoid formalization and pursue practical results in their study.