Read "How To solve problems"

Read "How to solve the problem" Table of Contents

• 1. Purpose
• 2. Summary

1Objective

2. How to teach students to study

   We usually think that the teacher's task is to teach the students knowledge, in fact, this is not correct. More should be the students should learn to solve the problem independently. But if students are directly confronted with problems, they may not be able to solve them and then give up after a setback. But if only teaches the student method, the student is scripted, gradually produces the dependence, but loses solves the problem the ability. So, how to teach students to learn is actually a difficult thing. There is not much to be done to help the students.

4. Skills improvement in problem solving

   Solving problems, like swimming, is a practical skill. When you learn to swim, you imitate other people's hand and foot movements to keep your head on the water and finally learn to swim by practicing (practicing swimming on the field). When we look at the graphical problem, we must first observe and imitate what others have done in solving the problem, and finally learn to solve it through practice.

   Teachers who want to improve their students ' ability to solve problems must develop their interests and provide them with plenty of opportunities to imitate and practice.

5. Four stages of solving a problem
   • Understanding the problem
   • Think about the relationship between the problem factors and make plans
   • Implementation plan
   • Review answers

   • Understanding the problem

     It is foolish to answer the question before it is clear. The first thing to figure out is: What is the unknown? What are the known data? What is the condition?

     For example:

     The length, width, and height of the cube is known to be diagonal.

     Unknown: Diagonal length, known quantity: length and width height, condition: cube.

     Symbol: Diagonal Length (l), Length (a), width (b), height (c)

     1. Plan

        The process can be lengthy and tortuous, from figuring out the problem to figuring out a plan. In fact, the main achievement of solving a problem is to conceive a plan for solving problems. This idea is what we call a good idea. This good idea, we need to have a certain background knowledge of the topic accumulation, if the topic is not understood, it is not easy to produce good ideas. A good idea is based on past experience and knowledge.

        For example, the diagonal of the cube, we have to contact from the unknown (diagonal length), is there a similar problem before? We then discovered that we had previously solved the hypotenuse of the right triangle in the plane. So, we can draw a diagonal line in a rectangle, so that a long and wide composition of the right triangle, to find the length of the hypotenuse, and then it can be a high-right triangle with the other one, so that we can find out the unknown.

     2. Implementation plan

        It is not easy to come up with a plan that produces a good idea of solving. There are many conditions for success, such as existing knowledge, good thinking habits, targeted concentration, and good luck. But achieving the plan is much easier, and what we need is mainly patience.

     3. Review answer

        Even a fairly good student, when he gets the answer to the question and writes the argument cleanly, meets the book and looks for something else to do. In doing so, they miss an important and instructive aspect of understanding the problem. By reviewing the answers that have been completed, students can consolidate their knowledge and develop their ability to solve problems by re-considering and re-examining the results and drawing on the results.

        A good teacher should understand and impart to students the following: No problem can be solved perfectly. There is always some work left to do. After thorough discussion and study, we can improve the solution, and in any case, we always improve our understanding of the solution level.

        In fact, this kind of pull-out conclusion, when we encounter other problems, often not the first thought, and the idea of the process of demolition will be applied to the new scene. This is not supposed to be.

2Summarize

The back of the content did not look closely, feeling not particularly attractive. On the previous part of the reading, summed up: We solve the problem, the first should be carefully read the question, figuring out what is unknown? What are the known data? What is the condition? Then, according to the unknown to the association, whether there is a similar topic? is a similar topic helpful? If there is, it is the best. If not, it is necessary to use analogy, inductive method and so on to deduce.

Date:2016-12-24 19:59

created:2016-12-31 Saturday 16:55

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