How to learn Japanese junior high school mathematics well when studying in Japan
1, see more
Mainly refers to reading Japanese mathematics textbooks carefully. Although the textbooks are all written in Japanese, Chinese characters account for about 70%-80%, and their meanings are very similar to Chinese. In fact, it is also very important to preview reading before class. When previewing, we just have a general understanding of the content of the textbook we want to learn, and we don't have to understand and digest it deeply. However, when we preview, we should mark the words we don't understand and the places where we have doubts, and then combine with the teacher's teaching in class, so that it is easier to grasp the key points and solve the problems encountered in preview.
Step 2 think more
Independent thinking is an essential ability to learn mathematics.
When studying, students should think while listening (class), reading (book) and doing (topic). Through their own positive thinking, they can deeply understand mathematical knowledge, sum up mathematical laws and flexibly solve mathematical problems, so as to turn what teachers say and what they write in textbooks into their own knowledge.
China has more exercises, questions and knowledge coverage than Japan. However, Japan's perspective of excavating knowledge points is unique, with diverse exercises and novel perspectives. On the basis of consolidating knowledge, Japan pays more attention to cultivating and broadening students' mathematical thinking ability.
Step 3 do more
It mainly refers to doing problems. When learning mathematics, we must do problems, and we should do more appropriately. The purpose of doing the problem is first to master and consolidate the knowledge learned; Secondly, cultivate the ability of independent thinking; Finally, it is to achieve mastery through a comprehensive study and link different contents of mathematical knowledge. When you do the problem, you should carefully examine the problem and think carefully. How should we do it? Is there a simple solution? Think and summarize while doing, and deepen the understanding of knowledge through practice.
Step 4 ask more questions
Being good at finding and asking questions in the process of learning is one of the important signs to measure whether a student has made progress in his study. Students who can find and ask questions are more likely to succeed in their studies. On the other hand, students who can ask three questions and can't ask any questions themselves can't learn math well. You should be willing to use your head. After discovering the problem, if you can't solve it by yourself, ask others humbly. Only those who are good at asking questions and learning with an open mind can become real strong learners.
Extended reading: several common problem-solving methods for studying abroad in junior high schools in Japan.
1, factorization method
Factorization is to transform a polynomial into the product of several algebraic expressions. Factorization is the basis of identity deformation, and this mathematical method plays an important role in solving quadratic equations with one variable and graph-related problem-solving operations. The two most basic and commonly used methods of factorization are extracting common factors and formulas.
2. Alternative methods
Method of substitution is a very important and widely used method to solve problems in mathematics. We usually refer to unknowns or variables as elements. The so-called method of substitution is to replace a part of the original formula with new variables in a complicated mathematical formula, thus simplifying it and making the problem easy to solve.
Sometimes, for example, when factorizing, you can choose the same part of the polynomial, replace it with another unknown, then factorize it and finally convert it back. But be careful: don't forget to return it after changing RMB.
2. The application of Vieta theorem (the relationship between roots and coefficients).
This theorem not only knows one root of a quadratic equation with one variable, but also finds another root. Knowing the sum and product of two roots, finding these two roots and other simple applications, we can also judge the sign of the roots of a quadratic equation with one variable and solve some problems about quadratic functions.
4. Construction method
We often use this method when solving problems. Through the analysis of conditions and conclusions, some auxiliary lines are needed to construct auxiliary elements, such as graphs or functions, to build a bridge connecting conditions and conclusions, so that the problem can be solved.
5. Find the area method
The area formula in plane geometry and the property theorems related to area calculation derived from the area formula can be used not only to calculate the area, but also to prove that plane geometry problems sometimes get twice the result with half the effort. The method of proving or calculating plane geometric problems by using area relation is called area method.
Mathematics learning methods are flexible and varied, and vary from person to person. You can constantly improve your learning methods, which is also a manifestation of your continuous improvement in learning ability.