The importance of mathematics is increasing. Therefore, universities are also raising their mathematics abilities. However, surprisingly, there are many students who say that they have given up on mathematics. What's even more surprising is that many students say they have given up on mathematics even though they have a grade 3 in their school record. There may be differences between school records and mock test scores, and it may be a problem that comes from the Eastern humility that thinks that the real ability is not at that level even though the grade is 3. In any case, the problem with students who cannot do mathematics is that they do not invest enough time in mathematics. First of all, to do mathematics well, you need perseverance.
Keep blowing until you know it. One more thing to attach here is that thinking about mathematics is necessary. Then, a lot of time is needed. It is necessary to study mathematics with concentration by thinking and understanding the principles and concepts, not by having a lot of time to solve problems in a state where concentration is disturbed just because there is plenty of time. As experienced students may know, mathematics is also understood as you solve more problems. However, it is necessary to check whether you understand the concepts and principles enough, not just to understand them.
3 reasons why students didn't do well in the wrong answer note
What often comes up in interviews with students who got a grade 1 in mathematics is the writing of incorrect answer notes. Everyone knows the importance of incorrect answer notes, but it is not practiced properly. For memorization subjects, it is enough to organize the concepts that were confusing or unknown in the incorrect answer notes, but it is difficult to know how to approach mathematics. In addition, even if you know the formula in mathematics, it is not always possible to apply it to the problem unconditionally, making it even more difficult. Moreover, it is a fact that writing incorrect answer notes takes a long time and is difficult, as it involves drawing graphs or shapes and writing solution points. Therefore, an effective method of writing incorrect answer notes is needed. Even if you sit at your desk and write incorrect answer notes all day, there is a solution to the score that does not rise. If you think about the problem with your incorrect answer note writing and correct your incorrect answer note writing method, you can get an incorrect answer note that goes to grade 1.
Problem 1: Write down all the wrong questions in the incorrect answer notes
Simply put, students don't know which problems to move to the incorrect answer notes. Since each student has different skills, if a student has a low level of skill, they should postpone problems that a 1st grade student deals with. First, they should deal with problems that can raise their level by one grade, and when they actually raise their level by one grade, they should deal with problems that can raise their level by one grade again. Of course, if you are a student with a very low level, you can aim for two grades at once. In the end, even if you raise your level by one grade, studying becomes more fun, and because it's fun, it's easier to move on to the next grade. Speaking by grade level, it is very easy to raise one grade from the bottom 6-9th grade. Anyone can easily raise their grade just by studying. And it is somewhat difficult to raise one grade from the middle 3-5th grade. Most students belong to that group and the competition is fierce. Finally, it is very difficult to raise one grade from the top 1-2nd grade.
If it is difficult to raise the grade in the school record, one way is to improve the score in the mock test mathematics, which can show your true ability. If you get a grade of 1 in the mock test, the probability of getting a grade of 1 in the school record also increases. However, since it is a school record, there are many cases where it is depressed due to the limits that you have created yourself. However, the nationwide ranking can be improved. In the end, the incorrect answer note is to select the minimum type of problem that can go to the next stage among the problems that you have written down, rather than writing down all the problems that you got wrong. You should not put all the problems in the incorrect answer notes just because they are wrong. Even if you write down problems that are too difficult for you, you will not be able to review them properly in the utilization stage. The most important point in writing incorrect answer notes is to select problems that can raise your grade by one.
Problem 2: Making incorrect answer notes for too long
Students who write incorrect answer notes are divided into two types: those who cut out the problem and paste it into the incorrect answer note, and those who write each problem in the note one by one. Both methods have their own advantages, but the problem is the time and effort involved. Wouldn't it be better to solve one more problem and understand and review it during that time? If you cut out the solution process one by one as well as the problem, a considerable amount of time is wasted. As the time to write incorrect answer notes gets longer, it is easy to end up with a short-lived resolution. If you spend too much time writing incorrect answer notes, you may skip some days because you are studying urgently. If the omission accumulates, you will gradually become careless about writing incorrect answer notes. Therefore, the second important point is to dramatically reduce the time it takes to write incorrect answer notes.
Problem 3: Not reviewing incorrect answer notes
Most students who write incorrect answer notes do not review them properly. They spend a lot of time and effort writing incorrect answer notes, but they only make them and cannot find the timing to review them. To look at each problem again, a lot of time is spent reviewing all the problems accumulated in the incorrect answer notes. If you keep putting off reviewing incorrect answer notes like this, you will eventually conclude that there may be no better way to review them effectively. There are few study methods in mathematics that are as reliable as incorrect answer notes. The third point is to effectively and steadily review incorrect answer notes to avoid making the same mistakes again.
Three ways to use incorrect answer notes
Solution 1: Select problems
As mentioned earlier, since each student has different abilities, it is most important to select problems that can raise your grade by one. However, the most important thing in problem selection is the type of incorrect answer. If you classify the types of incorrect answers, you can classify them into the following categories: problems that you did not understand the meaning of and were too difficult to solve, problems that you started to solve but got stuck in the middle, problems that you could have solved if you knew the concept or formula but did not know it, problems that you did not make a mistake but made a major mistake in the solution process, calculation errors, selection errors, simple errors, and others. Among these types, which problems should be recorded in the incorrect answer note? Should you analyze the types and move them to the incorrect answer note? No. You can intuitively feel the problems that can raise your grade by one. When you encounter mathematics problems, whether it is learning, assignments, or tests, incorrect problems come up. Correct problems are problems that you know, and incorrect problems are problems that upgrade your skills.
Therefore, you must solve incorrect problems. There are two ways to solve incorrect problems: looking at the solution sheet and asking the teacher. Regardless of the method, everyone can intuitively feel that the problem that upgrades their skills is the problem that makes them say "Wow" after reading the solution. If you still find the problem difficult even after listening to the solution process, it is not a problem that can upgrade your current skills. It only brings frustration and makes you worse at mathematics. The problem that upgrades your skills is the problem that makes you say "Wow" after reading the solution. Our brain always forgets. To remember and solve problems without any problems during the test, repetition learning is the most important. If you select problems that you can understand and review them steadily, the day will come when even difficult problems will be recorded in the incorrect answer notes. Therefore, it is an absolute mistake to record difficult problems in the incorrect answer notes.
Solution 2: Write effectively
Writing an incorrect answer note requires a lot of time and effort. Therefore, it is easy to fail repeatedly. There is a way to dramatically reduce the time it takes to write an incorrect answer note and make it fun. You don't need scissors or glue. You only need a smartphone. Once the problem to be included in the incorrect answer note is selected, it is important to understand the solution process accurately. Even if the solution process is long, it is possible to review it if the solution process is perfectly understood. Let's take sushi as an example. If you know how to make sushi, you will answer "Yes" without hesitation when asked, "Do you know how to make sushi?" You recall each ingredient that goes into sushi, recall the process of preparing each ingredient, spread the rice, put the ingredients on top, roll it up, and cut it with a knife. After thinking about the whole process, you answer "Yes" without hesitation. In other words, if you have just completely understood the explanation or teacher's explanation of the mathematics problem that you got wrong, when asked "Can you solve the problem?" everyone will answer "Yes" without hesitation. The solution process remains in our brain like this. Unfortunately, we have the illusion that we will never forget the solution process, and eventually we forget it again over time.
Therefore, it must be written in the incorrect answer note and reviewed repeatedly. How? By using a smartphone. Now, prepare your smartphone. When a problem with a vivid solution process remains in your head, shoot it with your smartphone without hesitation. At this time, only the problem is shot, and the solution process is not shot. Smartphones have a photo gallery. You can create several folders in the gallery. Create a folder called 'Incorrect Answer Note' there. If you have prepared like this and feel a problem coming, shoot it immediately. Once again, it should be emphasized that the solution process must remain vividly in your head. Never shoot problems that are vaguely understood. Move all the problems you shot to the incorrect answer note folder. If you make an incorrect answer note using a smartphone like this, you don't need a physical space called a paper note, so it is very convenient. It takes only a few seconds. You don't have to buy a note again when you finish writing the note. If you use the cloud function, you can retrieve it even if you lose your smartphone. If you have a tablet PC, it is more effective because you can view it on a large screen. Now, what remains is how to use the incorrect answer note that you shot.
Solution 3: Review effectively
The incorrect answer note is no longer a paper note. It is an incorrect answer note in my hand. The appropriate number of problems varies from student to student. If you are a student who is trying to use this method for the first time, about five a day is good. Because starting is half the battle, it is important to do it without interruption. Once you reach the stage where you can write incorrect answer notes steadily, everyone will know the appropriate number of problems for themselves. If you shoot five problems a day, you will have 150 problems in a month. So, when is the best time to view the problems recorded in the incorrect answer note and how should you view them? The most ideal way is to shoot a fixed amount of problems every day. And you only need to look at the incorrect answer note once a day. Set a fixed time every day, such as just before going to bed, and review it steadily. Only look at the problems without the solution process. Since the solution process remains in your head, you will experience the moment when the solution process comes to mind instantly when you see the problem. Now, the only problem left is how many times to repeat one problem. Let's assume that you started writing incorrect answer notes on September 1st. Look at the five problems recorded on that day once before going to bed that night. It takes about 20 seconds.
And since 5 more problems were recorded on September 2nd, you will see a total of 10 accumulated problems on the night of the 2nd. On the 3rd, 5 more problems were recorded, so you will see a total of 15 problems on that night. You continue to review the problems that were first recorded. The review cycle can be adjusted to 10 or 15 days depending on your skill level. According to Ebbinghaus' forgetting curve, what we learn repeatedly remains in our memory for a long time. However, there may be times when you cannot review the problems. But don't worry. If you can't remember the solution process when you skip a day and look at the problem again, you can look at the solution process again or listen to the explanation again. At this point, the memory will be stored in our brain again, and the problem will not disappear from our memory for even longer. It is also important to review problems repeatedly at regular intervals, but it is also good to review 30 days' worth of problems once a month. It takes about 2-3 seconds to look at one problem at first, but after repeating it, it takes only about 1 second. If you look at 150 problems, it will be over in 3 minutes. You can see a large number of problems in a short time if you spend about 5 seconds reviewing them. By selecting problems that can raise your grade by one and making an incorrect answer note, your grade will gradually increase over time. This is also a method that is actually used in academies to teach students. The important thing is to put it into practice.
