How to recognize mathematics learning, how to learn mathematics correctly

Preview in class, review after class, a very important point in learning mathematics is to do a good preview before class, so that you can focus on the knowledge points that you don't understand during the preview in the process of listening to the class, and review it in time after class, after all, it is easy to forget if you listen to it without consolidation during class;

1. Be diligent and hands-on, you can't just think about learning mathematics, you must be diligent in learning mathematics, there are many times, you don't think about it, but you can write it by hand, and it is very likely to write it out;

2. Homework is very important, an important way to learn mathematics is to complete the homework assigned by the teacher, just listen to the lecture in class, that is far from enough, in the completion of the teacher's homework colleagues, but also to do more after-class exercises to consolidate;

3. Preview for class, review after class, a very important point in learning mathematics is to do a good preview before class, so that you can focus on the knowledge points that you don't understand during the preview in the process of listening to the class, and review it in time after class, after all, it is easy to forget if you listen to it without consolidation during class;

4. When summarizing the wrong question bank to learn mathematics, you can use a notebook to record the problems you have made wrong, and every three days or so, go back and do it again, some mistakes may be done at the time, but you may forget it again after a few days.

My awareness of numbers.

One day, I sat on the lawn and thought: If there were no numbers in the world, what would people's lives be like? Suddenly, I heard a "whoosh" and a lot of numbers appeared in the sky.

Where do you get so many numbers? It's fun! "I want to count them, but I don't know how.

Yes! I exclaimed, "The numbers we usually know have flown into the sky." "If you look closely, not only that, but even the numbers on the renminbi and the numbers on the food bags ......All the numbers flew into the sky.

I was excited and excited to see it, and I thought, "Now I can finally escape the clutches of numbers!" ”

Shot A (Vegetable Market): I came to the vegetable market that used to be very lively. Strangely, there are only a few sparse people today.

Ignoring this, I quickly picked out a few of my favorite dishes. I saw the boss put the dish I chose on the scale, and then I touched my head and couldn't speak for a long time. I said a little impatiently

What's wrong with you, boss? Please hurry. "I, I don't understand!

Why are the numbers on the scales gone? Or maybe I'll estimate it. He wondered.

That's fine, too! I readily agreed. But here comes the problem again.

When I took out the money, there was only ** left on it, and the numbers didn't know where they flew. Hey, it doesn't look like I can buy it. Who wants to make a loss-making deal, it's a bit troublesome to have no numbers.

Shot B (School): At this time, the school is already quiet. Because after the numbers flew into the sky, there was a lot of chaos in the school.

Without numbers, math class can't be attended. As a result, everyone can't figure out how many classes it is, and they don't know the time, so they can't judge whether they are in class or after class. As a result, schools had to announce the closure of classes and holidays.

Article ......(I didn't have a number, and I didn't know which one to rank, so I just replaced it with a symbol.) ）

Ay! It's annoying to live without numbers. Schools are closed, factories are closed, shops can't buy things......Hunger and panic enveloped everyone, and I was scared and frightened.

Hey, Wang Juan, what are you doing? "The call of my classmates pulled me back from my fear.

Oh, it was just a dream! However, it's hard to live in a world without numbers!

I'm biased, just good at mathematics, I think interest is very important, specifically to do more extracurricular problems, those simple ones are forgotten, do some of the little difficulty, to overcome a problem with a sense of honor, in fact, I haven't taken math class seriously, I memorize words in general math class, my English is not good, I fell asleep as soon as I did English questions before going to bed, the more I did math, the more excited I was, the more math problems did not need to be memorized, basically all the principles were figured out, I think math class is a three-dimensional line diagram, Maybe I'm really interested in math, so I don't know if you understand what I'm saying. Specifically:

1.Take a look before class, it's easy not to listen to the questions, and if you don't understand something, you must listen well.

2.Do more questions after class, do the questions or look at the basics, choose the difficulty according to your own foundation, because if you do more questions, those principles will be clear to you, you don't have to memorize, you will naturally remember it.

3.Draw more pictures, even if it is a line segment, you can also process it in segments, know which point is in that position, what is the distance, if the foundation is good, you don't need to draw, and you can have a three-dimensional concept in your mind.

4.Choose 1-2 difficult problems to do every day, try your best to overcome them, don't do too much, too much will be messy.

I don't know what your foundation is, so I can only use my working hours to talk about it secretly, hoping to be useful.

There is no need to talk about these things in class, the main thing is to expand ideas and strive for multiple solutions to one problem.

When you first start learning a new content, there will definitely be doubts, you can discuss it with your classmates, ask the teacher, read authoritative reference books, and after a while, you will naturally understand.

Preview. Students are often not good at previewing, and they don't know what role previewing plays, and previewing is just a formality, and they can't see problems and doubts after a hasty look. Students should be asked to do the following:

After a thorough reading, first skim the relevant content of the textbook to grasp the general outline of the knowledge in this section. 2. Read carefully, repeatedly read, experience, and think about important concepts, formulas, laws, and theorems, pay attention to the process of knowledge formation, and make marks on concepts that are difficult to understand, so as to listen to the lecture with questions. In terms of method, it can be used to preview with the lesson or the unit to prepare.

Lectures. In terms of guidance on the method of listening to lectures, it is necessary to properly handle the relationship between "listening," "thinking," and "remembering."

"Listening" is the direct use of the senses to receive knowledge, and students pay attention in the process of listening:

1) Listen to the learning requirements of each lesson;

2) Listen to the introduction of knowledge and the process of knowledge formation;

3) Understand the key points and analysis of difficulties (especially the doubts in the preview);

4) the embodiment of the ideas and mathematical ideas and methods of listening to example problem solving;

5) Listen to the summary after class.

"Thinking" refers to the student's thinking.

1) Think more, think diligently, listen and think;

2) Deep thinking, that is, thinking back to the source, and being good at boldly asking questions;

3) Good thinking, from listening and observing to associate, conjecture, and induct;

4) Establish a critical consciousness and learn to reflect. It can be said that "listening" is the key to "thinking", "thinking" is the deepening of "listening", and it is the core and essential content of learning methods.

"Note" refers to the student's class notes.

1) Take notes, obey and listen, and grasp the timing of recording;

2) Remember the key points, remember the questions, and remember the ideas and methods of solving the problems;

3) Memorize the summary and after-class reflection questions. How to review, consolidate and complete homework after class.

Students tend to rush to complete written assignments after class, neglecting the necessary consolidation, memorization, and revision.

As a result, there is a phenomenon of imitating routine problems and solving problems with formulas, resulting in homework for the purpose of handing in homework, which cannot play the due role of homework practice in consolidating and deepening understanding knowledge. Students are required to read the textbook every day, review the knowledge and methods taught in the classroom in combination with the key points and difficulties recorded in the notes, and memorize formulas and theorems (memory methods include analogous memory, associative memory, intuitive memory, etc.). Then complete the assignment independently, solve the problem and then reflect on it.

Summary or summary method.

When making a unit summary or semester summary, students in the first year of junior high school tend to rely on the teacher, and the teacher is used to carrying the review summary. I believe that from the beginning of the year, students should learn how to summarize on their own. In the specific guidance, the way to review and summarize can be given.

It is necessary to see: read books, read notes, read exercises, and recall and familiarize yourself with what you have learned by reading; Two columns: list the relevant knowledge points, mark the key points and difficulties, and list the relationship between the knowledge points, which is equivalent to writing a summary of the main points; Three do:

On this basis, we will solve some exercises of various grades and types in a purposeful, focused and selective manner, and find and solve problems through feedback after solving problems. Finally, various question types and solution methods that reflect the knowledge learned are summarized. It should be said that learning to summarize is the highest level of mathematics learning.

Some suggestions, it is better to have a personal groping.