How often do you solve problems and problems in life? Following a habit or a certain way or plan? Here is the process that can help you resolve the most difficult issues, a simple process built by ThoughtCo from the idea of a great mathematician in the 20th century.
The main reason why math is present in schools is to help us better solve problems in all areas of life. Many issues need many solutions and a systematic method. When solving math, you need to do some things: Determine exactly what kind of information is required to add, subtract, multiply, or divide? Then specify all the information that the question provided to you.
According to ThoughtCo, an excellent handbook that you should have is a book How to Solve It: A New Aspect of Mathematical Method of the mathematician George Pólya in the 1957 version. The ideas below will give you the general strategies or steps to solve problems. These ideas are similar to those presented in Pólya’s book and can help you clarify even the most complex issues.
How to Solve It: In the new Aspects of Mathematical Method is a classic book on how to solve the problem of George Pólya (1887-1985), one of the most influential mathematicians of the 20th century. Many languages sold over 1 million copies and continued to be reprinted worldwide. In Vietnam, the book is published by Translated Education Publisher with the title “How to solve a problem.”
How to Solve It second edition of Princeton University Press
Use standard processes
Its time to Lear how to solve problems in mathematics is to know what you are looking for. Math problems often require you to work according to a standard process and know which method to apply. To create a process, you must be familiar with the situation that is happening, be able to gather relevant information, identify one or more strategies, use strategies appropriately.
Solve problems that require you to practice. The first thing we need to do when deciding which method or process to solve the problem is to look for clues; one of the essential skills in solving problems in mathematics. When you start searching for clues, you will find words that indicate an individual operation.
Find vital clues in the topic.
Common clues for addition problems: total, total, all, perimeter
The focal words are common for subtraction problems: how much difference, (more than mediocre), exceeds.
Common clue words for multiplication problems: product, total, area, number of times
Common clues for division problems: sharing, division, the average, ratio
Although the clue words may vary slightly depending on the specific math, you will quickly learn how to identify what the word means to perform the correct operation.
Read the lesson carefully.
After you’ve identified the clues, highlight or underline them. They will tell you what kind of problem you are solving. Then ask yourself these questions:
- Have you seen a similar problem yet, if so, which issue is problem-solving?
- What did you do in the same problem above?
- What facts are provided for this problem?
- What facts do you need to learn about this problem?
Plan and look back at work
After exploring the problem by carefully reading the issue and identifying similar issues in the two steps above, the next thing you can do is:
Identify your strategies/strategies to solve problems. It is possible to identify mathematical forms, use known formulas, use drawings, conjectures, and tests.
If your strategy is ineffective, it can also lead you to an ah-ha moment and a more successful plan. If you feel like you have solved the problem, ask yourself these questions:
- – Is your solution feasible?
- – Does it answer the original question?
- – Do you answer in the language of the question?
- – Do you use the same unit when answering?
If you are confident that the answer to all of the above questions is “yes” then consider your problem solved.
Tips and suggestions:
Here are some essential questions to consider that you can use when approaching the problem:
- – What are the keywords in the issue?
- – Do I need an illustration of data, such as a diagram, list, table, chart, or graph?
- – Do I need to use a formula or equation? If yes, what is it?
- – Do I need to use a computer? Is there a form I can use or follow?
Read the lesson carefully and decide on a method to solve the problem. When you have finished resolving, recheck the experience, make sure your answer is meaningful and that you have used the correct terms and units in your assignment.