How to learn math

Author: Sara Rhodes
Date Of Creation: 12 February 2021
Update Date: 1 July 2024
Anonim
Learn Mathematics from START to FINISH
Video: Learn Mathematics from START to FINISH

Content

Learning mathematics successfully takes effort. A calculator and guides can help you, but only if you use them properly.

Steps

  1. 1 Learn the basics by heart: addition, subtraction, multiplication and division (if possible, in no particular order). Lack of knowledge of the basics will make it difficult to study further areas of mathematics, or even make it impossible.
  2. 2 Learn mathematical definitions (terminology). Ask the teacher to repeat (and explain) what you didn’t understand the first time. Even if your instructor doesn't use terminology often, others use it more often.
    • Four squared, four cubed, four times, the factorial of four - all these terms have different meanings. Knowing these terms will make it easier for you to find a solution.
  3. 3 Try to catch the meaning of the math problem from the teacher's words. This may seem like an extra effort, but it's often rewarding.
    • Study all the similar examples (both even and odd numbered) in your tutorial before proceeding with the solution.
    • Some teachers only assign problems with even numbers, so that students cannot cheat. Other teachers only distribute odd-numbered problems so that students can check their solutions, since the correct answers or even complete solutions to such problems are placed at the end of many textbooks. And individual teachers give one type of problem for homework and another for testing!
    • Ask your teacher to help you with problems you find it difficult to solve, even those that were not given to you. Remember you are learning. Tasks not initially assigned to you can get caught during testing. In addition, the complex tasks you solve will help you earn a good reputation.
    • When the teacher presents a subject (perhaps before setting tasks), ask him about everything that is not clear to you at the moment. This is the best way to save time: while other students are confused, you reflect on specific questions and seek answers to them.
    • Some math professors reduce the learning process to answering students' questions. In this case, some preliminary preparation on the topic under study is required from the students who came to the classes.
    • Another advantage of doing the work ahead of time (including additional assignments) is that if you do not have time with any other topic, the teacher will not suspect you of being negligent and wanting to take an unplanned vacation.
  4. 4 After meeting the example of solving the problem in the textbook, try to solve it yourself, using it as an additional exercise.
  5. 5 Find out where you went wrong. This is the best way to prevent similar errors in the future.
  6. 6 Do not move on to the next material in the textbook without mastering the previous one. The building of mathematics is being built consistently.
    • A math book is like a novel, so don't read it from the beginning.
  7. 7 Document your work carefully. Try to keep the spelling of numbers always the same. The more complex a mathematical problem is, the more accuracy plays a role in solving it.
  8. 8 Form a group of learners. If one of the members of the group finds it difficult to solve the problem, the rest can help him.

Tips

  • Use your senses and common sense when studying math. Rewrite the task (using visual and kinesthetic perception). Review definitions and theorems aloud (auditory perception).
  • Don't worry if you don't understand something right away. Perhaps this is even for the best and will help deepen your understanding of the issue. You will reflect on the problem and the ways to solve it, on the conditions of the problem, literally live it for several days or even a week, absorbing it into yourself and being imbued with it. Switch to other questions for a while, returning to the task later. Reflect on it intermittently. When looking for fresh ideas, look for similar questions and problems in other books.
  • The best thing you can do as you learn a new section of math is to take a long note. Enter all the details carefully, including the difficulties you are facing. When designing, use a ruler to draw straight lines and mark them. A neat summary makes it easy to review and find the material covered I.
  • If you doubt your knowledge necessary to start studying a new book, and the presentation of this subject is not in this book, resort to other textbooks on this topic and only then, after preliminary preparation, return to the study of the original material.
  • When studying a theorem or property that seems strange to you, write down a few examples that satisfy the preconditions, and try to solve those examples yourself. This will allow you to feel the task with what is called "fingers".This approach is especially effective when studying abstract algebra and number theory.

Warnings

  • Don't force yourself. Understand - many have suffered over the same questions before you. It's just that some people need to spend a little more time to understand math than others. In the end, with a certain tenacity and perseverance, you will be able to excel at learning mathematics.
  • Do not try to go too far in a short time - this can easily get confused in the material being studied.
  • Don't let anyone in your group just cheat!... Sooner or later it will be revealed. Also, why would anyone benefit from the fruits of your hard work?
  • Don't be afraid to ask for help from someone with more experience or advanced math.

What do you need

  • Notebook
  • The pencils
  • Math textbook
  • Fountain pen with blue and black ink
  • Ruler
  • Eraser
  • Protractor and compasses (when studying geometry)