This is all because I didn't adapt to the study in high school in time, and I am still using the learning thinking in junior high school.
Therefore, in order to avoid this gap, we must first make clear the difference between high school and junior high school, and the students of Grade One will get to know it soon!
We must first understand the difference between junior high school mathematics and senior high school mathematics:
The difference between junior high school mathematics and senior high school mathematics
The content of high school mathematics is abstract and theoretical, especially in senior one. The first thing you encounter is a highly theoretical function, which makes it difficult for some students who are good at junior high school mathematics to adapt.
The thinking method of senior high school mathematics has leapt to the rational level. Junior high school mathematics is relatively simple and can be solved according to certain steps. However, the problem-solving of senior high school mathematics is more complicated and requires students to think from many angles and aspects.
The content of knowledge has increased, and the workload of students mastering knowledge in the same time has obviously increased.
New heights are a must! 1 1 How many "big pits" do you know?
If so, how to change this situation?
Don't rely on it.
In junior high school mathematics learning, teachers will list all kinds of questions in the senior high school entrance examination for repeated practice, and students can easily form the habit of relying on teachers and applying models. In high school, this model has completely changed. In addition, parents in junior high school can give some help, but in senior high school, most parents can't keep up with their knowledge. At this time, you can only rely on yourself.
Don't relax.
If we learn high school mathematics by junior high school, we will not pay attention to it ideologically and keep the method unchanged, even top students will easily fail to keep up. Senior one is the most critical and basic stage of three years in senior high school. Once you can't keep up, it's hard to catch up. Therefore, you can't relax for a day in high school.
Seeing this, I believe everyone knows the general situation of high school mathematics. Perhaps the biggest problem for many students with unsatisfactory math scores is that time is not enough. It takes 5 minutes for others to solve a problem, and you may have an idea in 10 minutes. So how can we use the limited time to maximize efficiency and find a shortcut to learning mathematics?
Xueba lecture
I am in the cow class, but I am not a cow. Among the students, doing the questions faster than me and drilling the questions deeper than me, but few scored higher than me in the college entrance examination.
If there is anything special about me, it is that I am a real lazy person and don't have so much time to struggle in the sea of questions; Because I am lazy, I always try my best to find shortcuts.
Facts have proved that mathematics is a subject that can take shortcuts, and it is unlucky for students who are not lazy to get high marks.
There are some ways to be lazy. I will share with you the true story of my laziness. I hope the students can find a good way to improve their learning efficiency and beat the monthly exam after reading it.
1, fewer questions, more accurate questions.
The first task of "being lazy" is to reduce the load of review. The biggest load of mathematics is the endless sea of questions. At the beginning of the semester, I sorted out a general conceptual framework, using the existing experience in doing problems, screening the knowledge points corresponding to the framework, deleting the low requirements and mastering, and highlighting the key points and difficulties.
In this way, when I was preparing for the exam and everyone was immersed in the questions, I jumped out of the sea of questions early.
Saving time is only a means, and spending energy on "fine questions" is the purpose. I make the best use of two kinds of "excellent questions": one is the "mother question" covering multiple test sites, and the other is the "wrong question" with high frequency in the same question type.
Experience shows that the repeated research and refinement of these two types of questions have greatly improved my efficiency in learning mathematics and laid a solid foundation for my grades to climb in a short time.
2. Copy less books and translate more.
One of the characteristics of mathematics is that you can replace endless exercises with effective summaries. Summing up is not blindly copying formulas and concepts, but summing up problem-solving skills for yourself with your own language and experience, which is what I call "translation".
In fact, in three years of high school, I spent more time summing up than doing problems. A highly targeted "translation" booklet extracted from the summary eventually became my math strategy.
Students in Grade One and Grade Two pay special attention: Students in Grade One have just started school for less than a month. Although the monthly exam is just around the corner, I still have to face the college entrance examination in the future. Therefore, we should take a long-term view, learn to organize our own problem-solving skills and methods in the usual learning process, and accumulate for two years. I believe it will be much easier to prepare for the college entrance examination in grade three! ! !
Students in Grade Two have passed Grade One, and most of them are elective courses. Maybe it is more difficult for students with poor foundation to make progress at this time. They always feel that they have tried their best, but they still can't learn math well. I want to say: never say that you have done your best. What is success? People don't believe what you can do, and you have already done it. This is called success.
Are high school math test scores low? Problem-solving skills for you (with solutions)
3, less hands, more brains
The task of high school is very heavy. In order to be lazy, I always browse the questions before I start doing them. I will never waste pen and ink when I meet a problem that I can do. When you encounter the same type of questions, you can only compare ideas comprehensively (of course, the premise is that the calculation and format can pass). This habit not only saves me a lot of meaningless labor, but also gives me the opportunity to examine the topic from a higher level, thus strengthening my in-depth understanding of many test sites.
4. Be less careless and more confident
Carelessness is an unavoidable obstacle for everyone in mathematics learning. But carelessness is only a symptom, and it is still not skilled enough to trace the source. Lack of experience doesn't mean that we have to make up for it with a lot of problems. Accustomed to being lazy, I choose to use translation to solve the problem. Behind the phenomenon of careless examination, perhaps the denominator can't be zero, or the domain of the inverse trigonometric function can't be remembered clearly. In a word, there are only a few reasons for carelessness, and we can grasp them all after a little summary.
There is no need to spend extra energy on the adjustment of mentality. The measure I take is to find out the college entrance examination questions in the past three years one month before the exam, do them carefully within the specified time, and write the answers on paper. The process of copying answers helps to check the format and details. Because most of the test questions are encountered in rounds of review, the three sets of test papers feel relaxed as a whole, which can reduce the fear of the college entrance examination and enhance self-confidence.
Mathematics is the key to winning the college entrance examination, and shortcut is the magic weapon to win mathematics. The core of my "four less and four more shortcuts" lies in my strong self-pertinence. As long as you find the right way, your three-year journey in high school will surely usher in the real "birds and flowers."
In addition, I want to share a short story with you-find time to study:
Extrusion time
If you go to Tsinghua, you can see that all the students take cars and almost all walk at a trot. As soon as you enter the classroom from the school gate, you can read more books and do one more question than others. After a long time, you will have an absolute advantage in time. Make full use of recess 10 minutes, you can squeeze out nearly two hours every day, and do one more set of questions than others.
Students should not think too much about students in Tsinghua. Among the students in Tsinghua, the students with superior intelligence and quotient account for 1/4 of the total number of students. What they have more than you is only their attitude towards the future. They can give up any temptation for their own goals. Even on New Year's Eve, the self-study classrooms in Tsinghua will be overcrowded.
In fact, I believe everyone knows that math is not difficult, but you gave up too early. I hope that after reading this article, everyone can find their own motivation to learn, believe in themselves and learn math well.