The following is a summary of my experience as a tutor in college, which is mainly divided into the following aspects: study plan, study misunderstanding, wrong use of teaching materials, tutorial class VS tutor, teaching assistant recommendation, learning APP, and video course recommendation. Interested students can take out their notebooks and record the key points. Before it's too late, keep watching ~
The goal of "I will take the 135+ exam this semester" is naturally good, but is it appropriate? This varies from person to person. For students whose grades are already at this level, this goal is quite good. 135+ can play a reminding role-how can I do a difficult problem and how can I keep this grade? But for those students who scored only 40 points in the final exam last semester, the goal of this semester is not appropriate. 135+ is a very stressful existence. It is better to set the goal at the score near the passing line to stimulate the desire to learn. When the score reaches the passing line, it will be better to set the target as 120 and shout the slogan 135 after 120.
Summer vacation is mainly used to check leaks and fill vacancies. Because it takes a long time, planning is particularly important. What to plan and how to plan it are all said below. Watch.
Several students I have taught, including myself, paid little attention to math textbooks in high school. They feel that the knowledge in the textbook is incomplete, and the summary is not as good as the teaching aid. Basically, the teacher slipped the textbook during the new class, brushed the exercise book after class, and left the textbook untouched. This method is actually all wet! We must pay attention to the use of textbooks, so how to use textbooks?
① String knowledge points: prepare white paper and math textbooks-open the catalog, pick up paper money-string knowledge points and questions according to the catalog-open the textbook or notebook to correct-find the knowledge points that you haven't remembered, and check for gaps.
② Doing textbook exercises: After-class exercises are the foundation and must be mastered completely. For example, the textbook of probability and permutation and combination is full of classic exercises, such as taking the ball from the bag and putting it back, queuing and so on. The college entrance examination examined the application problems of trigonometric functions.
As soon as many students talk about studying, they dig out notebooks and wrong books from their schoolbags. To tell the truth, the font of the notes is particularly neat and the color discrimination is particularly good, but the content is basically the knowledge point Ctrl+V in the textbook or workbook. It is better to buy a printed summary of the knowledge points directly. Notebooks should summarize common problems, understand misunderstandings, and do wrong questions several times with questions.
All the students I tutored were given wrong problem books by the school and asked to hand them in to the teacher every week. After I looked through the wrong book, I felt that the wrong book had been supplemented a little. On the surface, the students wrote the wrong book, but in fact they didn't get to the point. Take analytic geometry as an example.
A straight line intersects an ellipse at point A and point B, and a circle with diameter AB passes through point O.. (The common solution is to prove that OA is perpendicular to OB, that is, X 1X2+Y 1Y2=0. )
Q: What's wrong with this question?
Health: I answered this question wrong.
Q: Specifically, which knowledge points and sentences didn't you understand?
Health: I will not deal with the condition that "the circle with diameter AB passes through point O".
Q: Then why don't you mark it? How inconvenient will it be to look it up in the future if there is no such thing marked?
Health: I haven't opened it since I finished writing it.
Me: (smiling face).
The wrong title is briefly mentioned above, and this part specifically talks about the implementation opinions.
There are many wrong questions and the classification is unclear.
There are a lot of exercises in the wrong book, but it's messy: the questions are unclear, and the idea of solving problems is not the key.
Solution:
Use separators to separate various parts of the main content, such as plane analytic geometry, derivatives, series, trigonometric functions and so on.
For example, the ray OE intersects the ellipse at G point and the straight line X=-3 at D point. Firstly, it is clear that this is an ellipse problem in analytic geometry (classified into major categories), and secondly, it is a four-point * * * line problem of O, E, G and D (classified into minor categories). In the future, we will put the * * * line problem together and summarize the treatment methods of the * * * line problem.
Of course, some supplementary textbooks will summarize the corresponding questions, and if this supplementary textbook is basically your problem book, then I suggest indicating the supplementary content of what questions directly in the wrong problem book.
Don't prepare the wrong book, just save all the wrong questions and take notes.
(1) has no self-control and attends remedial classes. The courses of remedial classes are relatively fixed, and the teachers are more serious and responsible. Just like attending classes at school, they can also make a group of friends.
2 self-control, both make up lessons and make up lessons.
There are loopholes in the overall knowledge: it is recommended to make up classes. Teachers in remedial classes will explain the key points one by one according to their years of teaching experience, and adjust the progress of classes and the difficulty of practice according to the students' level. Many counseling institutions have set up small class teaching, which will put students with the same learning level together for teaching, so that the underachievers can learn more easily and make faster progress.
(2) Some knowledge is not well mastered: remedial classes can be one-on-one or remedial classes. One-on-one tutors' main job is to help solve problems that have not been solved in school, so students should communicate the teaching content with teachers before each class. In addition, family education is more flexible. If students think that the knowledge points have been learned clearly, they can suspend tutoring.
Whether to go to a counseling institution or a tutor must be chosen according to your actual situation, and you should ask more questions and know more before making a decision.
Teaching AIDS vary from person to person and should be purchased according to your actual situation. Don't blindly follow suit, waste money and don't say that your academic performance has not improved significantly. It's really not worth it.
This is the best supplementary book in my opinion for the following reasons:
① Fill-in-the-blank knowledge is generally set in front of school teaching AIDS, which can help students who have just learned this part of knowledge to review and consolidate their knowledge points in time;
(2) Many students told me that the knowledge points above the school teaching AIDS were not completely summarized, which is undeniable. Generally speaking, school teaching AIDS adopt the strategy of few but fine, which means that the knowledge points written in school teaching AIDS are compulsory knowledge points and the core knowledge of this section. If you don't understand and remember this part of knowledge, what can you talk about improving your score?
The induction of supplementary questions in schools is generally a simple basic question, and most of the knowledge in the college entrance examination questions is also a basic question. Among some students I have taught, the basic questions are still vague, so it is very undesirable to do some difficult questions in a hurry.
The teacher will explain most of the topics in the exercise book clearly, and often the teacher will draw inferences and explain many variations. The knowledge that students have in the course of listening to lectures is far more than just looking at the answers.
Some students are keen to be the little scribe, thinking that they are studying hard by copying knowledge points repeatedly. This is indeed reading, but it is "fake reading". We might as well spend more time on the induction of problems and more time on the research of problems. I suggest starting with a three-year knowledge summary teaching aid in senior high school, so that teachers can give lectures on it, and students can sketch the key points and supplement the corresponding contents directly on the teaching aid.
List of high school mathematics knowledge
I have a list of knowledge at hand, which explains the knowledge points in detail and summarizes the basic questions. My usage is to watch video lessons-sketch knowledge points-write questions in a notebook, and recommend all students to try, so that their hands can be liberated and the day is full of questions and problem-solving skills.
Because I didn't buy other similar teaching AIDS, I won't introduce them. You just need to find the one that suits you, so you don't have to stick to the one I recommend.
The importance of college entrance examination questions is self-evident. Here I mainly want to talk about what kind of college entrance examination questions to buy and how to do them.
Learn new lessons
Mainly for students who are still learning new knowledge in senior one and senior two, it is suggested to buy college entrance examination questions with different types of questions. At this time, brushing the college entrance examination questions is not to grade the questions. The main purpose is to understand how the college entrance examination questions examine this part of knowledge points and which knowledge points appear more frequently, so as to know fairly well in the subsequent study.
As soon as the summer vacation is over, I will be promoted to the new senior three.
By summer vacation, all the knowledge points should have been learned. At this time, it is suggested that the whole summer vacation be divided into three parts: the full set of questions for the college entrance examination (one week)-learning to check for leaks (four to five weeks)-the full set of questions for the college entrance examination (one week), and the second part is the focus. First, take out two sets of time tests of the college entrance examination questions, give scores in strict accordance with the college entrance examination scoring standards, and confirm your own level:
Below (1) 1 10, the basic knowledge is flawed;
② 1 10~ 130, with a good foundation, but some knowledge points are difficult;
③ 65,438+0,30, with a solid foundation, emphasizing intensive and altitude training.
After confirming your own level, you can start targeted leak detection and filling. You can learn by watching video lessons or attending cram schools, or you can ask a tutor (don't worry, I also recommend video lessons and cram schools later). At the end of the summer vacation, you can take out several sets of college entrance examination questions to test your summer vacation study results.
3-year simulation of 5-year college entrance examination
We can start with the complete version of high school mathematics knowledge. If you buy it in grade one or grade two, you can save a lot of useless notes! Because this book will clearly explain the knowledge points, often a little knowledge and a little topic, the advantage of this is that it is easy to remember what kind of topic this knowledge can produce in your mind. After practicing the previous knowledge and supporting questions, you can continue to ask the following questions. From basic to medium to difficult problems.
"High school must brush questions"
This book is more suitable for students who want to use the sea of questions to improve their scores above 120, but not for students with weak foundation and unclear basic questions. And this book is full of problems and great pressure.
To sum up, students in senior three and senior two all suggest that summer vacation should start with a knowledge summary teaching aid to save time in taking notes. Senior three suggests to be familiar with the exam routines in advance, and senior two suggests to summarize the questions and check for missing items.
I have used two learning apps and recommend two.
"I'm studying in the mile" is really flattered. At present, many UP masters have uploaded excellent teaching videos, such as teacher Sima's mathematics series tutorial video (detailed in the learning video part), teacher Wang's physics series tutorial video, and even some wonderful competition courses. You can find the corresponding content as long as you search for keywords.
Of course, because there are so many videos, they are likely to be picky. I wonder which teacher will explain it to them. Here, my suggestion is to listen to the specific content. For example, your problem is that analytic geometry can't start with the known conditions of the stem, so listen to analytic geometry here when you attend the class (general videos will be uploaded in sets), and pay attention to whether the teacher has talked about topic induction, operation skills, common conditions and so on. (These contents are what you don't know and what you need most), videos based on basic knowledge may not be suitable for these students.
After listening to two or three videos, the teacher's class style is actually very obvious. If you really can't adapt to this teacher's lecture style, you can change the video to find the next teacher. Lazy cancer patients can choose the "most played" video to attend classes directly, but in short, what suits them is the best.
This kind of search software is also a very good learning tool. Sometimes when I help students with their homework, I will take out my search software to check the answers when I can't. After all, teachers are not omnipotent. When is this kind of software suitable for use? Winter vacation and summer vacation.
The best solution to problems that will not happen during school is to ask teachers and classmates. One advantage of asking the teacher is that the teacher can quickly know what the corresponding knowledge points are based on his years of teaching experience. After finishing this topic, the teacher will also tell you where the corresponding knowledge points are and which topics in the workbook are also answers. Asking a teacher a question is equivalent to solving a series of problems.
In winter and summer vacations, there are no teachers to explain the questions that can't be explained. The main function of the search APP is to provide answers. The specific operation should be like this: do homework first-revise the answers+outline the exercises that you don't understand-check the exercises analysis (APP or exercise book answers can be used)-think about the steps that you don't understand and the unexpected ideas in the analysis-ask the teacher why these steps are like this in class. The two steps of drawing horizontal lines are the key and the most valuable place.
Teacher Sima's curriculum system is very coherent, liberal arts or science, one round and two rounds or sprint, and you can find any books in detail. The teacher's class is very wonderful, and the basic knowledge, topic induction, exercises and problem-solving skills will be clearly explained. Teacher Sima is also very friendly, and I have heard the first and second lessons of this teacher myself.
If you are a student with good academic performance, it is recommended to listen to the second round of courses. The second round of courses will focus on the induction of problems and the topics will be more comprehensive. Students with poor foundation suggest listening to a round or modular course to consolidate basic knowledge.
The famous teachers in Beijing No.4 Middle School need no introduction. I haven't seen this teacher's class in detail, but I believe it is definitely good. Teachers' courses are also divided into many categories, and I believe students will find something suitable for them.
Postgraduate entrance examination is a big boss in mathematics, but in fact, you can also find relevant information about his high school mathematics in the mile. Mr. Li Yongle's courses are recommended to students with a solid foundation. One is that he speaks faster, and the other is that some of his methods are slightly difficult, so it is not recommended for students with weak foundation to watch them.
The above are some experiences shared in senior high school mathematics, hoping to help students, wink~