I once met a student who asked me: Teacher, what's the use of learning mathematics? Not in life. I can pay for a dish on WeChat. At that time, I had just been engaged in mathematics teacher counseling for more than a year, and I couldn't answer this question. I can only say with a smile that I can get more in the college entrance examination. And Nagano's words touched me and made me rethink the role of mathematics. "No matter what problems you encounter, you can collect clues (conditions for solving problems), define goals (problems to be solved), and use the ability of logical judgment and analysis (calculation process) to solve them. After determining that the problem has been solved, we can also make an abstract analysis of specific things, thus drawing experience and summing up appropriate solutions based on experience for reference when encountering similar problems in the future. This is the real intention of learning mathematics. " It seems that mathematical thinking is everywhere. Living will be full of curiosity and ask why. If you want to know the answer, you will use mathematical thinking consciously or unconsciously. The author insists that everyone can learn mathematics well, as long as you have the following abilities: (1) mastering the corresponding relationship, (2) sorting out the sequential relationship; (3) the steps to sort out, execute and observe things; (4) abstract ability. Almost everyone has these four abilities, but there is something wrong with everyone's way of learning mathematics. The common method in our country is to brush the questions mechanically, especially before the college entrance examination. Sometimes in the course of lectures, students will ask the teacher to tell me how to do it. Don't waste time by giving so many reasons. ......
This book is very attractive because it introduces 10 methods to solve problems, among which I especially like the combination of numbers and shapes, the reduction of order and the reverse thinking method. For example, reverse thinking is a bit like Adler's teleology. What do I need to do to achieve my goal? If you want to get more than 360 points in the postgraduate entrance examination, how many points should you get in each subject, so that you can break down your homework. In my own teaching process, I use the method of combining numbers and shapes more to make abstract problems concrete and let students understand and like this interesting method.
In fact, mathematics is an interesting subject. In order to solve their own problems, people of different times gradually formed today's mathematical world. For example, geometry was originally used to measure land area, and China discovered the quotient height pythagorean theorem in flood engineering. I will try to "know why, know why", and hope more people know the charm of mathematics.