怎样才能成为一个善于解决问题的人?
正文翻译
How does one become good at problem solving?
怎样才能成为一个善于解决问题的人?
原创翻译：龙腾网 https://www.ltaaa.cn 转载请注明出处
How does one become good at problem solving?
怎样才能成为一个善于解决问题的人?
原创翻译：龙腾网 https://www.ltaaa.cn 转载请注明出处
评论翻译
Ritesh Kumar Mishra, lives in New Delhi (1999-present)
Ritesh Kumar Mishra，居住在新德里(1999年至今)
Ritesh Kumar Mishra，居住在新德里(1999年至今)
The best approach is “I will do.”
Always remember you don't need to attend big seminars, listening motivational talks.
When you know this truth - your life is your responsibility, you will do the work despite facing numerous problems.
最好的方法是“我原因去做”。
永远记住，你不需要参加大型的研讨会，聆听励志演讲。
当你知道这个真理——你的生活是你的责任时，你就会在面对无数问题的情况下继续工作。
Always remember you don't need to attend big seminars, listening motivational talks.
When you know this truth - your life is your responsibility, you will do the work despite facing numerous problems.
最好的方法是“我原因去做”。
永远记住，你不需要参加大型的研讨会，聆听励志演讲。
当你知道这个真理——你的生活是你的责任时，你就会在面对无数问题的情况下继续工作。
Sana Sharma
Use VRS Approach: Verify, Reason and Solution. It is a method invented by me. There are three steps:
Verify/Understand the Problem: I cannot stress this enough, I have seen a lot of people working so hard in problem-solving without verifying the problem. Verifying and confirming the problem is the first step in understanding the problem, I do not trust my client, customer, or in that case even my manager in this, I will verify and understand it from my end.
Find out the Reason/Cause behind the Problem: A lot of people try to jump to the solution part of the problem, which is very wrong, if you keep on doing that, you will only find a temporary solution but if you find the reason and solve that, that problem will be gone from its root, Hence this step is very important.
Solution of the Problem: Now comes the part you’ll have been waiting for, if you’ve completed the above two steps properly this will feel like a breeze. I try to make different hypotheses on what could be the solution and then try to check them one by one.
So, yeah this was my simple and basic but effective approach. You can try this for all your problems in life, professional as well as personal.
使用VRS方法：验证、原因和解决方案。这是我发明的一种方法。有三个步骤：
验证/理解问题：我非常强调这一点，我看到很多人在没有验证问题的情况下努力解决问题。验证和确认问题是理解问题的第一步，我不信任我的委托人、客户，或者以防万一，甚至包括我的经理，我将从我的角度验证和理解问题。
找出问题背后的原因：很多人试图跳转到问题的解决部分，这是非常错误的，如果你继续这样做，你只会找到一个临时的解决方案，但如果你找到原因并解决了，问题就会从根本上消失，因此这一步非常重要。
问题的解决方案：现在是你一直在等待的部分，如果你正确地完成了以上两个步骤，这会让你感觉轻松。我试着对解决方案做出不同的假设，然后一个接一个地检查它们。
所以这是我简单、基本但有效的方法。你可以用它来解决你生活中的所有问题，无论是职业还是个人问题。
Use VRS Approach: Verify, Reason and Solution. It is a method invented by me. There are three steps:
Verify/Understand the Problem: I cannot stress this enough, I have seen a lot of people working so hard in problem-solving without verifying the problem. Verifying and confirming the problem is the first step in understanding the problem, I do not trust my client, customer, or in that case even my manager in this, I will verify and understand it from my end.
Find out the Reason/Cause behind the Problem: A lot of people try to jump to the solution part of the problem, which is very wrong, if you keep on doing that, you will only find a temporary solution but if you find the reason and solve that, that problem will be gone from its root, Hence this step is very important.
Solution of the Problem: Now comes the part you’ll have been waiting for, if you’ve completed the above two steps properly this will feel like a breeze. I try to make different hypotheses on what could be the solution and then try to check them one by one.
So, yeah this was my simple and basic but effective approach. You can try this for all your problems in life, professional as well as personal.
使用VRS方法：验证、原因和解决方案。这是我发明的一种方法。有三个步骤：
验证/理解问题：我非常强调这一点，我看到很多人在没有验证问题的情况下努力解决问题。验证和确认问题是理解问题的第一步，我不信任我的委托人、客户，或者以防万一，甚至包括我的经理，我将从我的角度验证和理解问题。
找出问题背后的原因：很多人试图跳转到问题的解决部分，这是非常错误的，如果你继续这样做，你只会找到一个临时的解决方案，但如果你找到原因并解决了，问题就会从根本上消失，因此这一步非常重要。
问题的解决方案：现在是你一直在等待的部分，如果你正确地完成了以上两个步骤，这会让你感觉轻松。我试着对解决方案做出不同的假设，然后一个接一个地检查它们。
所以这是我简单、基本但有效的方法。你可以用它来解决你生活中的所有问题，无论是职业还是个人问题。
Paul Larkin, Author at Self-published Author (2012-present)
Paul Larkin，作者，独立出版作者(2012-至今)
Paul Larkin，作者，独立出版作者(2012-至今)
Problem-solving results from the ability to generate many answers, mentally testing them to see if there is a possible solution and then implementing it mentally or physically.
Edward de Bono has written several books on this topic. He talks of using ‘PO’ as any word that can start to generate ideas. He recommends taking pairs of words and seeing if there is a connection.
His multi-million bestseller “Lateral Thinking - be more creative and productive” will get you started. It gives you techniques to produce ideas. Have a look at his work “de Bono’s Thinking Course’ for more exercises to develop your skills.
解决问题的能力源于产生多种答案的能力，在内心里测试他们，看看是否有一个可能的解决方案，然后在内心里或实际去解决它。
爱德华·德·博诺就这个话题写了几本书。他谈到用“PO”作为任何可以产生想法的词。他建议把单词组合起来，看看它们之间是否有联系。
他的百万畅销书《横向思维——更具创造性和生产力》将让你开始学习。它为你提供了产生想法的技巧。看一看他的作品《德博诺的思维课程》，从中获得更多锻炼技能的机会。
Edward de Bono has written several books on this topic. He talks of using ‘PO’ as any word that can start to generate ideas. He recommends taking pairs of words and seeing if there is a connection.
His multi-million bestseller “Lateral Thinking - be more creative and productive” will get you started. It gives you techniques to produce ideas. Have a look at his work “de Bono’s Thinking Course’ for more exercises to develop your skills.
解决问题的能力源于产生多种答案的能力，在内心里测试他们，看看是否有一个可能的解决方案，然后在内心里或实际去解决它。
爱德华·德·博诺就这个话题写了几本书。他谈到用“PO”作为任何可以产生想法的词。他建议把单词组合起来，看看它们之间是否有联系。
他的百万畅销书《横向思维——更具创造性和生产力》将让你开始学习。它为你提供了产生想法的技巧。看一看他的作品《德博诺的思维课程》，从中获得更多锻炼技能的机会。
Reagan Callen, I code for a living.
Practice practice practice. This big thing with problem solving is it is knowing the systems. It is thinking critically. This is one of the hardest things to get better at because the concept is so abstract. Ultimately, you get better by trying hard things. Things genuinely hard and frustrating and when you get stuck? Go ask help from people who know what they are doing and ask them to explain their thought process. Do lots of logic and thinking puzzles. Do real life problem solving as well. What hobby do you have? Or what do you like? Go and solve problems for people or read about problems people have and think of some possible solutions and then read up on what others did as well.
练习练习再练习。解决问题的关键在于了解系统。它是批判性思考，这是最难做到的事情之一，因为概念太抽象了。最终，通过努力，你会变得更好。事情真的很艰难，令人沮丧，当你陷入困境时，去向那些知道他们在做什么的人寻求帮助，让他们解释他们的思维过程。做很多逻辑和思维的谜题，还要解决现实生活中的问题。你有什么爱好？或者你喜欢什么？去为人们解决问题，或者了解人们遇到的问题，想出一些可能的解决方案，然后看看其他人也做了什么。
Practice practice practice. This big thing with problem solving is it is knowing the systems. It is thinking critically. This is one of the hardest things to get better at because the concept is so abstract. Ultimately, you get better by trying hard things. Things genuinely hard and frustrating and when you get stuck? Go ask help from people who know what they are doing and ask them to explain their thought process. Do lots of logic and thinking puzzles. Do real life problem solving as well. What hobby do you have? Or what do you like? Go and solve problems for people or read about problems people have and think of some possible solutions and then read up on what others did as well.
练习练习再练习。解决问题的关键在于了解系统。它是批判性思考，这是最难做到的事情之一，因为概念太抽象了。最终，通过努力，你会变得更好。事情真的很艰难，令人沮丧，当你陷入困境时，去向那些知道他们在做什么的人寻求帮助，让他们解释他们的思维过程。做很多逻辑和思维的谜题，还要解决现实生活中的问题。你有什么爱好？或者你喜欢什么？去为人们解决问题，或者了解人们遇到的问题，想出一些可能的解决方案，然后看看其他人也做了什么。
Kyle League, Manufacturing Engineer and Environmental Contact at Haworth Inc. (2015-present)
Numbered, but just to make a list of it, not in any particular order:
Study. Learn more facts and skills to use as tools to solve problems.
Break the problem into a set of smaller problems. Keep breaking those problems until they get small enough you are able to solve them.
Look for the cause of the problem, then look for the cause of that cause, continue until you have found the root cause. That is the most effective place to fix a problem.
Practice. Like any other skill, practice makes you better and more comfortable doing it.
Try to understand exactly what is happening and why. What other things influence the correct and incorrect things and why do they have an influence?
编号，但只是列出清单，不用讲究特定的顺序：
学习，学习更多的事实和技能，作为解决问题的工具。
将问题分解为一组较小的问题。不断解决这些问题，直到问题变得足够小，你才能解决它们。
查找问题的原因，然后查找该原因的原因，继续，直到找到根本原因，这是解决问题最有效的地方。
实践，和其他技能一样，练习能让你做得更好、更舒服。
试着准确地理解发生了什么以及为什么。还有哪些因素会影响正确和不正确的事情？为什么会有影响？
Numbered, but just to make a list of it, not in any particular order:
Study. Learn more facts and skills to use as tools to solve problems.
Break the problem into a set of smaller problems. Keep breaking those problems until they get small enough you are able to solve them.
Look for the cause of the problem, then look for the cause of that cause, continue until you have found the root cause. That is the most effective place to fix a problem.
Practice. Like any other skill, practice makes you better and more comfortable doing it.
Try to understand exactly what is happening and why. What other things influence the correct and incorrect things and why do they have an influence?
编号，但只是列出清单，不用讲究特定的顺序：
学习，学习更多的事实和技能，作为解决问题的工具。
将问题分解为一组较小的问题。不断解决这些问题，直到问题变得足够小，你才能解决它们。
查找问题的原因，然后查找该原因的原因，继续，直到找到根本原因，这是解决问题最有效的地方。
实践，和其他技能一样，练习能让你做得更好、更舒服。
试着准确地理解发生了什么以及为什么。还有哪些因素会影响正确和不正确的事情？为什么会有影响？
Rohan Jain, Author 'The Promises We Made'
Rohan Jain，《我们所做的承诺》作者
Rohan Jain，《我们所做的承诺》作者
"What can I do? This is not possible to solve."
When I was interning at BCG many years back, I was once faced with a problem that I found impossible to solve. After spending a few days on the problem, I gave up.
"I do not think this problem can be solved," I told my immediate superior. And guess what?
"Had the problem been easy, wouldn't the client have solved it themselves? Do you think the client has hired us to tell them that we cannot solve the problem?"
I closed my laptop, took out a pen and notebook, and started trying to solve the problem again, but this time with a fresh approach. It did not work fully, but I felt I was a little bit closer to solving the problem. I kept pushing and eventually managed to arrive at an answer.
I learned my lesson - there is no problem that is impossible to solve. It might require resources, it might require expertise, it might require hustle.
But you know what? When not being able to solve a problem is not even an option, every problem can be solved.
“我能做什么？这是不可能解决的。”
许多年前，我在波士顿咨询公司实习时，曾面临一个我觉得无法解决的问题。在这个问题上花了几天时间后，我放弃了。
“我认为这个问题无法解决，”我告诉我的顶头上司。你猜怎么着？
“如果问题很简单，客户不就自己解决了吗？你认为客户雇佣我们是为了告诉他们我们无法解决问题吗？”
我关上笔记本电脑，拿出一支笔和笔记本，开始再次尝试解决这个问题，但这次是用一种新的方法。它没有完全起作用，但我觉得快接近解决这个问题了。我不断努力，终于找到了答案。
我吸取了教训：没有不可能解决的问题，它可能需要资源，可能需要专业知识，可能需要努力。
但你知道吗？当不能解决一个问题甚至又没有选择时，每个问题都可以被解决。
When I was interning at BCG many years back, I was once faced with a problem that I found impossible to solve. After spending a few days on the problem, I gave up.
"I do not think this problem can be solved," I told my immediate superior. And guess what?
"Had the problem been easy, wouldn't the client have solved it themselves? Do you think the client has hired us to tell them that we cannot solve the problem?"
I closed my laptop, took out a pen and notebook, and started trying to solve the problem again, but this time with a fresh approach. It did not work fully, but I felt I was a little bit closer to solving the problem. I kept pushing and eventually managed to arrive at an answer.
I learned my lesson - there is no problem that is impossible to solve. It might require resources, it might require expertise, it might require hustle.
But you know what? When not being able to solve a problem is not even an option, every problem can be solved.
“我能做什么？这是不可能解决的。”
许多年前，我在波士顿咨询公司实习时，曾面临一个我觉得无法解决的问题。在这个问题上花了几天时间后，我放弃了。
“我认为这个问题无法解决，”我告诉我的顶头上司。你猜怎么着？
“如果问题很简单，客户不就自己解决了吗？你认为客户雇佣我们是为了告诉他们我们无法解决问题吗？”
我关上笔记本电脑，拿出一支笔和笔记本，开始再次尝试解决这个问题，但这次是用一种新的方法。它没有完全起作用，但我觉得快接近解决这个问题了。我不断努力，终于找到了答案。
我吸取了教训：没有不可能解决的问题，它可能需要资源，可能需要专业知识，可能需要努力。
但你知道吗？当不能解决一个问题甚至又没有选择时，每个问题都可以被解决。
Lois Wickstrom, former Teacher at University of South Florida (1987-1990)
Lois Wickstrom，前南佛罗里达大学教师(1987-1990)
Lois Wickstrom，前南佛罗里达大学教师(1987-1990)
The answer depends on the type of problem. Mathematics problems become easier the more you practice. You may need a different book or additional lessons, but the bottom line, one you understand the methods is practice.
Other problems, like human interactions at work, require an experimental approach. There is no one method that will solve all human problems.
答案取决于问题的类型。数学问题练习得越多就越容易解决。你可能需要学习一本不同的书或额外的课程，但最重要的是，你要明白这些方法就是练习。
其他问题，比如工作中的人际互动，需要根据经验找到方法，没有一种方法可以解决人类所有的问题。
原创翻译：龙腾网 https://www.ltaaa.cn 转载请注明出处
Other problems, like human interactions at work, require an experimental approach. There is no one method that will solve all human problems.
答案取决于问题的类型。数学问题练习得越多就越容易解决。你可能需要学习一本不同的书或额外的课程，但最重要的是，你要明白这些方法就是练习。
其他问题，比如工作中的人际互动，需要根据经验找到方法，没有一种方法可以解决人类所有的问题。
原创翻译：龙腾网 https://www.ltaaa.cn 转载请注明出处
Nathan Ketsdever, Passionate about Learning
Here are nine key steps to improving your problem solving dramatically:
1) Practice . Make problem solving an ongoing habit. (also make questioning an ongoing habit).
2) Have a nice Set of Problem Solving Tools (it helps to have a checklist, so that you can know if you've applied a given tool or not)
3) Reflective thinking via journaling
4) Define the problem & figure out what the root cause is (thats really two steps)
5) Learn Design Thinking and apply it.
6) Think about the problem from multi-perspectives (ie multiple academic disciplines). Design thinking is actually another form of perspective taking.
7) Metaphoric/Analogous problem solving is quite helpful. This was how the mouse was created.
8) Make getting better a real goal for you.
9) Talk to people who solve problems effectively how they do it.
以下是九个关键步骤，可以显著提高你问题的解决能力：
1、 练习，让解决问题成为一种持续的习惯。（也要养成提问的习惯）。
2、 有一套很好的解决问题的工具（有一个清单很有帮助，这样你就可以知道你是否应用了一个给定的工具）
3、 通过日记进行反思性思考
4、定义问题并找出根本原因（这实际上是两个步骤）
5、学习设计思维并加以应用。
6、从多个角度（即多个学科）思考这个问题。设计思维实际上是另一种视角。
7、用比喻/类比的方法解决问题很有帮助。鼠标就是这样创造出来的。
8、 让变得更好成为你真正的目标。
9、与那些有效解决问题的人谈谈他们是如何做到的。
Here are nine key steps to improving your problem solving dramatically:
1) Practice . Make problem solving an ongoing habit. (also make questioning an ongoing habit).
2) Have a nice Set of Problem Solving Tools (it helps to have a checklist, so that you can know if you've applied a given tool or not)
3) Reflective thinking via journaling
4) Define the problem & figure out what the root cause is (thats really two steps)
5) Learn Design Thinking and apply it.
6) Think about the problem from multi-perspectives (ie multiple academic disciplines). Design thinking is actually another form of perspective taking.
7) Metaphoric/Analogous problem solving is quite helpful. This was how the mouse was created.
8) Make getting better a real goal for you.
9) Talk to people who solve problems effectively how they do it.
以下是九个关键步骤，可以显著提高你问题的解决能力：
1、 练习，让解决问题成为一种持续的习惯。（也要养成提问的习惯）。
2、 有一套很好的解决问题的工具（有一个清单很有帮助，这样你就可以知道你是否应用了一个给定的工具）
3、 通过日记进行反思性思考
4、定义问题并找出根本原因（这实际上是两个步骤）
5、学习设计思维并加以应用。
6、从多个角度（即多个学科）思考这个问题。设计思维实际上是另一种视角。
7、用比喻/类比的方法解决问题很有帮助。鼠标就是这样创造出来的。
8、 让变得更好成为你真正的目标。
9、与那些有效解决问题的人谈谈他们是如何做到的。
Barry Hampe
Take lots of time to become familiar with the problem. Be sure you understand what is being asked and what elements you have available to find a solution. In some cases this may include knowledge of the way the world works outside the stated problem.
Don't even think about getting the right answer, but concentrate on discovering (or developing) a process that will result in an answer to the problem. Once you have that you'll know if your answer is right.
Be on the lookout for tricky language in the problem. And remember that negative information can be just as informative as positive information.
要花很多时间来熟悉这个问题。确保你理解问题的内容，以及你有哪些元素可以找到解决方案。在某些情况下，这可能包括对所述问题之外的世界运作方式的认识。
甚至不要想得到正确的答案，而是专注于发现（或开发）一个能够解决问题的过程。一旦你知道了，你就会知道你的答案是否正确。
注意问题中的复杂的语句。记住，负面信息可以和正面信息一样提供信息。
Take lots of time to become familiar with the problem. Be sure you understand what is being asked and what elements you have available to find a solution. In some cases this may include knowledge of the way the world works outside the stated problem.
Don't even think about getting the right answer, but concentrate on discovering (or developing) a process that will result in an answer to the problem. Once you have that you'll know if your answer is right.
Be on the lookout for tricky language in the problem. And remember that negative information can be just as informative as positive information.
要花很多时间来熟悉这个问题。确保你理解问题的内容，以及你有哪些元素可以找到解决方案。在某些情况下，这可能包括对所述问题之外的世界运作方式的认识。
甚至不要想得到正确的答案，而是专注于发现（或开发）一个能够解决问题的过程。一旦你知道了，你就会知道你的答案是否正确。
注意问题中的复杂的语句。记住，负面信息可以和正面信息一样提供信息。
Abe Kurland
An excerpt from my book (Learn from the best, available on amazon):
Just like a test, life too has problems. (In fact, life is filled with many problems.) As I discussed previously, one main difference between winners and losers is the way that they solve problems. Learning how to correctly solve problems is key to becoming a winner.
In general, losers don't actually solve problems. For example, losers use an obstacle as an excuse to give up. The reality is, almost nothing in life goes as planned. No matter how fortunate you are, you're going to have problems in life.
Furthermore, instead of trying to solve problems, losers simply attempt to mask the symptoms of problems with various unhealthy habits: drugs, unhealthy eating, excessive shopping, etc.
The problem is, these unhealthy habits don't actually solve the problem. (They merely cover up the symptoms.) Moreover, after these unhealthy habits stop masking the original problem, not only has it returned, but also there is a new problem: the unhealthy habit itself.
Not only do these unhealthy habits do nothing to solve problems, they end up creating their own problems in addition to the existing problems. You should never use unhealthy choices in order to solve problems in your life.
How you solve these problems is crucial. (Learning how to solve problems correctly is a key part of working smarter.) Now that we know how not to solve problems (by using unhealthy habits), how do winners solve problems?
节选自我的书(《名师出高徒》—可在亚马逊上找到)：
就像考试一样，生活也会遇到问题。（事实上，生活中充满了很多问题。）正如我之前所讨论的，赢家和输家之间的一个主要区别是他们解决问题的方式。学习如何正确解决问题是成为赢家的关键。
一般来说，失败者并不能真正解决问题。例如，失败者利用障碍作为放弃的借口。现实是，生活中几乎没有什么事情是按计划进行的。无论你多么幸运，你的生活都会有问题。
此外，失败者不会试图解决问题，而是试图用各种不健康的习惯掩盖问题的症状：毒品、不健康的饮食、过度购物等等。
问题是，这些不健康的习惯实际上并不能解决问题。（他们只是掩盖了症状。）此外，在这些不健康的习惯无法掩盖原来的问题之后，它不仅回来了，而且还有一个新的问题：不健康的习惯本身就是问题。
这些不健康的习惯不仅无助于解决问题，而且最终会在现有问题的基础上产生自己的问题。你永远不应该用不健康的选择来解决生活中的问题。
如何解决这些问题至关重要。（学习如何正确解决问题是智能工作的关键部分。）既然我们知道了怎么导致无法解决问题（通过使用不健康的习惯），那么赢家如何解决问题呢？
原创翻译：龙腾网 https://www.ltaaa.cn 转载请注明出处
An excerpt from my book (Learn from the best, available on amazon):
Just like a test, life too has problems. (In fact, life is filled with many problems.) As I discussed previously, one main difference between winners and losers is the way that they solve problems. Learning how to correctly solve problems is key to becoming a winner.
In general, losers don't actually solve problems. For example, losers use an obstacle as an excuse to give up. The reality is, almost nothing in life goes as planned. No matter how fortunate you are, you're going to have problems in life.
Furthermore, instead of trying to solve problems, losers simply attempt to mask the symptoms of problems with various unhealthy habits: drugs, unhealthy eating, excessive shopping, etc.
The problem is, these unhealthy habits don't actually solve the problem. (They merely cover up the symptoms.) Moreover, after these unhealthy habits stop masking the original problem, not only has it returned, but also there is a new problem: the unhealthy habit itself.
Not only do these unhealthy habits do nothing to solve problems, they end up creating their own problems in addition to the existing problems. You should never use unhealthy choices in order to solve problems in your life.
How you solve these problems is crucial. (Learning how to solve problems correctly is a key part of working smarter.) Now that we know how not to solve problems (by using unhealthy habits), how do winners solve problems?
节选自我的书(《名师出高徒》—可在亚马逊上找到)：
就像考试一样，生活也会遇到问题。（事实上，生活中充满了很多问题。）正如我之前所讨论的，赢家和输家之间的一个主要区别是他们解决问题的方式。学习如何正确解决问题是成为赢家的关键。
一般来说，失败者并不能真正解决问题。例如，失败者利用障碍作为放弃的借口。现实是，生活中几乎没有什么事情是按计划进行的。无论你多么幸运，你的生活都会有问题。
此外，失败者不会试图解决问题，而是试图用各种不健康的习惯掩盖问题的症状：毒品、不健康的饮食、过度购物等等。
问题是，这些不健康的习惯实际上并不能解决问题。（他们只是掩盖了症状。）此外，在这些不健康的习惯无法掩盖原来的问题之后，它不仅回来了，而且还有一个新的问题：不健康的习惯本身就是问题。
这些不健康的习惯不仅无助于解决问题，而且最终会在现有问题的基础上产生自己的问题。你永远不应该用不健康的选择来解决生活中的问题。
如何解决这些问题至关重要。（学习如何正确解决问题是智能工作的关键部分。）既然我们知道了怎么导致无法解决问题（通过使用不健康的习惯），那么赢家如何解决问题呢？
原创翻译：龙腾网 https://www.ltaaa.cn 转载请注明出处
Winners use three main tools to solve problems: trial and error, making goals, and going through the grieving process. Even though everyone has heard of these concepts before, relatively few people completely understand them. (Moreover, virtually no one uses them as efficiently as possible.)
Practically every problem you encounter in life can be solved using one of these three methods. Whichever method you use is determined by the type of problem.
Trial and error is mainly used for problems for which the problem is unknown, e.g., trying to find the cause of your headache. (The headache is a symptom of a problem; you don't know the actual problem. Trial and error can also be used to solve known problems with unknown solutions.)
The goal making process is a process used for problems where both the problem and the solution are known (problem: being overweight, solution: diet and exercise).
(These solutions are known because of other human's trial and error. For example, humans didn't always know that the solution to being overweight was diet and exercise. However, they found it out eventually through trial and error.)
The grieving process is used to solve known problems with no possible solutions (or unknown solutions), e.g., the death of a parent. (In other words, mostly things which have already occurred and are unchangeable.)
Solving your problems as efficiently as possible will change your life immensely.
胜利者使用三种主要工具来解决问题：试错、制定目标和经历悲伤的过程。尽管每个人以前都听说过这些概念，但完全理解它们的人相对较少。（此外，几乎没有人尽可能高效地使用它们。）
实际上，你在生活中遇到的每一个问题都可以用这三种方法中的一种来解决。你使用哪种方法取决于问题的类型。
试错法主要用于未知的问题，例如，试图找到头痛的原因。（头痛是问题的症状；你不知道实际的问题。试错法也可以用来解决未知解决方案的已知问题。）
目标制定过程是一个用于解决问题和解决方案都已知的问题的过程（问题：体重超标，解决方案：饮食和锻炼）。
（这些解决方案之所以为人所知，是因为其他人反复试验过。例如，人类并不总是知道体重超标的解决方案是饮食和锻炼。然而，他们最终通过反复试验找到了答案。）
悲伤过程用于解决没有可能去解决掉（或无解）的已知问题，例如父母去世。（换句话说，大部分是已经发生且无法改变的事情。）
尽可能有效地解决问题将极大地改变你的生活。
Practically every problem you encounter in life can be solved using one of these three methods. Whichever method you use is determined by the type of problem.
Trial and error is mainly used for problems for which the problem is unknown, e.g., trying to find the cause of your headache. (The headache is a symptom of a problem; you don't know the actual problem. Trial and error can also be used to solve known problems with unknown solutions.)
The goal making process is a process used for problems where both the problem and the solution are known (problem: being overweight, solution: diet and exercise).
(These solutions are known because of other human's trial and error. For example, humans didn't always know that the solution to being overweight was diet and exercise. However, they found it out eventually through trial and error.)
The grieving process is used to solve known problems with no possible solutions (or unknown solutions), e.g., the death of a parent. (In other words, mostly things which have already occurred and are unchangeable.)
Solving your problems as efficiently as possible will change your life immensely.
胜利者使用三种主要工具来解决问题：试错、制定目标和经历悲伤的过程。尽管每个人以前都听说过这些概念，但完全理解它们的人相对较少。（此外，几乎没有人尽可能高效地使用它们。）
实际上，你在生活中遇到的每一个问题都可以用这三种方法中的一种来解决。你使用哪种方法取决于问题的类型。
试错法主要用于未知的问题，例如，试图找到头痛的原因。（头痛是问题的症状；你不知道实际的问题。试错法也可以用来解决未知解决方案的已知问题。）
目标制定过程是一个用于解决问题和解决方案都已知的问题的过程（问题：体重超标，解决方案：饮食和锻炼）。
（这些解决方案之所以为人所知，是因为其他人反复试验过。例如，人类并不总是知道体重超标的解决方案是饮食和锻炼。然而，他们最终通过反复试验找到了答案。）
悲伤过程用于解决没有可能去解决掉（或无解）的已知问题，例如父母去世。（换句话说，大部分是已经发生且无法改变的事情。）
尽可能有效地解决问题将极大地改变你的生活。
Dhruv Hari Baldawa, works at Google Summer of Code
Well, the first and the most difficult step is "to start to think". Once, you have started to think its just a cycle of failures and successes.
What I usually do is try to figure out, what actually is creating the problem ? and then try to solve it with resources in hand. Its an iterative approach, and mostly works.
There are various approaches which are optimal for a certain kind of problem, but that will take sometime to master and only comes with practice.
Also, its very important to keep on solving it till you get the solution, this really helps. You might take long time to solve few problems initially, but eventually it will start coming in smoothly and nicely.
第一步也是最困难的一步是“开始思考”。一旦如此，你已经开始认为这只是失败和成功不断循环而已。
我通常是想弄清楚，到底是什么造成了这个问题？然后试着用手头的资源来解决它。这是一种迭代的方法，基本上是有效的。
对于特定的问题，有各种各样的最佳解决方法，但这需要一些时间来掌握，并且只能通过实践来实现。
而且，在你找到解决方案之前，继续解决这个问题非常重要，这真的很有帮助。最初你可能需要很长时间才能解决一些问题，但最终它会顺利地被解决。
Well, the first and the most difficult step is "to start to think". Once, you have started to think its just a cycle of failures and successes.
What I usually do is try to figure out, what actually is creating the problem ? and then try to solve it with resources in hand. Its an iterative approach, and mostly works.
There are various approaches which are optimal for a certain kind of problem, but that will take sometime to master and only comes with practice.
Also, its very important to keep on solving it till you get the solution, this really helps. You might take long time to solve few problems initially, but eventually it will start coming in smoothly and nicely.
第一步也是最困难的一步是“开始思考”。一旦如此，你已经开始认为这只是失败和成功不断循环而已。
我通常是想弄清楚，到底是什么造成了这个问题？然后试着用手头的资源来解决它。这是一种迭代的方法，基本上是有效的。
对于特定的问题，有各种各样的最佳解决方法，但这需要一些时间来掌握，并且只能通过实践来实现。
而且，在你找到解决方案之前，继续解决这个问题非常重要，这真的很有帮助。最初你可能需要很长时间才能解决一些问题，但最终它会顺利地被解决。
Chatzigeorgaki Elena, Private Consultant
One has to start with fundamentals: logic.
Solving a problem requires thinking and reasoning and methodology. It might happen that someone solves a problem by accident but this is not the general case.
First you need a clear definition of the problem. This helps you define the area of knowledge in which you will search for the solution.
Then you recall true statements available for solving problems in that area of knowledge. For example in mathematics you must know axioms, theorems, propositions, lemmas etc.
Then you must know the available proof methods. In order to be sure you solved the problem correctly you must always follow proof methods such as deduction in logic.
These steps might seem easy…but they aren’t. We often get locked in a proof method and then it is hard to see “outside of the box”. This requires abstract thinking. You might also have to combine different areas of knowledge in order to solve a problem. Then you are not sure which methods to choose for solving.
On the plus side you get better with experience! You also get faster and then you go one level up: not just solving a problem but also finding the best solution for it!
我们必须从基本原理开始：逻辑。
解决问题需要思考、推理和方法论。可能有人偶然解决了一个问题，但这不是一般情况。
首先，你需要对问题有一个明确的定义。这有助于定义搜索解决方案的知识领域。
然后在该知识领域中你回想起可用来解决问题的真实陈述，例如，在数学中，你必须知道公理、定理、命题、引理等。
那么你必须知道可用的证明方法。为了确保你正确地解决了问题，你必须始终遵循逻辑推理等证明方法。
这些步骤可能看起来很简单，但事实并非如此。我们经常被锁定在一个证明方法中，然后很难看到“思维框架之外”。这需要抽象思维。为了解决问题，你可能还需要结合不同的知识领域。那么你就不确定该选择哪种方法来解决问题了。
从好的方面来说，经验会让你变得更好！你也会更快的解决问题，然后你解决问题的能力会更上一层楼：不仅仅是解决问题，还要找到最好的解决方案！
One has to start with fundamentals: logic.
Solving a problem requires thinking and reasoning and methodology. It might happen that someone solves a problem by accident but this is not the general case.
First you need a clear definition of the problem. This helps you define the area of knowledge in which you will search for the solution.
Then you recall true statements available for solving problems in that area of knowledge. For example in mathematics you must know axioms, theorems, propositions, lemmas etc.
Then you must know the available proof methods. In order to be sure you solved the problem correctly you must always follow proof methods such as deduction in logic.
These steps might seem easy…but they aren’t. We often get locked in a proof method and then it is hard to see “outside of the box”. This requires abstract thinking. You might also have to combine different areas of knowledge in order to solve a problem. Then you are not sure which methods to choose for solving.
On the plus side you get better with experience! You also get faster and then you go one level up: not just solving a problem but also finding the best solution for it!
我们必须从基本原理开始：逻辑。
解决问题需要思考、推理和方法论。可能有人偶然解决了一个问题，但这不是一般情况。
首先，你需要对问题有一个明确的定义。这有助于定义搜索解决方案的知识领域。
然后在该知识领域中你回想起可用来解决问题的真实陈述，例如，在数学中，你必须知道公理、定理、命题、引理等。
那么你必须知道可用的证明方法。为了确保你正确地解决了问题，你必须始终遵循逻辑推理等证明方法。
这些步骤可能看起来很简单，但事实并非如此。我们经常被锁定在一个证明方法中，然后很难看到“思维框架之外”。这需要抽象思维。为了解决问题，你可能还需要结合不同的知识领域。那么你就不确定该选择哪种方法来解决问题了。
从好的方面来说，经验会让你变得更好！你也会更快的解决问题，然后你解决问题的能力会更上一层楼：不仅仅是解决问题，还要找到最好的解决方案！
Steve McConville
According to George Polya in his excellent book "How to Solve It" there are four steps to solving a problem:
1. Understand the problem
2. Make a plan
3. Carry out the plan
4. Check your answer
In my experience a lot of people (myself included) are tempted to jump straight to step 3 and get stuck. The book contains plenty of advice about how to approach each stage of this process, with particular emphasis on finding analogies.
乔治·波利亚（George Polya）在他的优秀著作《如何解决它》（How to Solution It）中说，解决问题有四个步骤：
1.了解问题所在
2.制定计划
3.执行计划
4.检查你的答案
根据我的经验，很多人（包括我自己）都想直接跳到第三步，然后陷入困境。这本书包含了很多关于如何处理这个过程的每个阶段的建议，特别强调寻找类比。
According to George Polya in his excellent book "How to Solve It" there are four steps to solving a problem:
1. Understand the problem
2. Make a plan
3. Carry out the plan
4. Check your answer
In my experience a lot of people (myself included) are tempted to jump straight to step 3 and get stuck. The book contains plenty of advice about how to approach each stage of this process, with particular emphasis on finding analogies.
乔治·波利亚（George Polya）在他的优秀著作《如何解决它》（How to Solution It）中说，解决问题有四个步骤：
1.了解问题所在
2.制定计划
3.执行计划
4.检查你的答案
根据我的经验，很多人（包括我自己）都想直接跳到第三步，然后陷入困境。这本书包含了很多关于如何处理这个过程的每个阶段的建议，特别强调寻找类比。
Camilo Chacón Sartori, Software Developer at Telefonica I+D (2017-present)
Solving many problems, it is obvious but more important yet, you must learn to think clearly and with an order.
Finding patterns when you solve a problem. It is achieved through of a deliberate practice.
Read books about logic, not only programming and math books, but also, philosophical logic books, you will become a great thinker.
You seek different problems for resolving, be creative and maintains a consistent effort.
要解决许多问题，很明显但更重要的是，你必须学会清晰而有条理地思考。
在解决问题时寻找模式。这是通过深思熟虑的练习来实现的。
阅读有关逻辑的书籍，不仅是编程和数学书籍，还有哲学逻辑书籍，你会成为一个伟大的思想家。
你寻找不同的问题来解决，解决问题时要有创造力，还要坚持和努力。
Solving many problems, it is obvious but more important yet, you must learn to think clearly and with an order.
Finding patterns when you solve a problem. It is achieved through of a deliberate practice.
Read books about logic, not only programming and math books, but also, philosophical logic books, you will become a great thinker.
You seek different problems for resolving, be creative and maintains a consistent effort.
要解决许多问题，很明显但更重要的是，你必须学会清晰而有条理地思考。
在解决问题时寻找模式。这是通过深思熟虑的练习来实现的。
阅读有关逻辑的书籍，不仅是编程和数学书籍，还有哲学逻辑书籍，你会成为一个伟大的思想家。
你寻找不同的问题来解决，解决问题时要有创造力，还要坚持和努力。
Anonymous
Richard Feynman said he became a great problem solver at school when he used to ask people for any riddles or puzzles they knew so they could try them. He got a reputation and people started asking him to solve their homework assignments, including people from the years above him.
He used to take a half hour or so to solve the puzzles, but then next time someone asked him the same one he would pretend to figure it out on the spot in a few seconds. :-)
Anyway he later became a renowned physicist.
理查德·费曼（Richard Feynman）说，他在学校里成为了一名在解决问题方面出色的人，因为他经常向人们询问他们知道的任何谜语或谜题，以便他们可以尝试。他名声鹊起，人们开始请他帮他们做家庭作业，包括他的高年级同学。
他过去会花半个小时左右的时间来解这些谜题，但下次有人问他同样的问题时，他会假装思考然后在几秒钟内当场猜出答案。
不管怎样，他后来成了一位著名的物理学家。
Richard Feynman said he became a great problem solver at school when he used to ask people for any riddles or puzzles they knew so they could try them. He got a reputation and people started asking him to solve their homework assignments, including people from the years above him.
He used to take a half hour or so to solve the puzzles, but then next time someone asked him the same one he would pretend to figure it out on the spot in a few seconds. :-)
Anyway he later became a renowned physicist.
理查德·费曼（Richard Feynman）说，他在学校里成为了一名在解决问题方面出色的人，因为他经常向人们询问他们知道的任何谜语或谜题，以便他们可以尝试。他名声鹊起，人们开始请他帮他们做家庭作业，包括他的高年级同学。
他过去会花半个小时左右的时间来解这些谜题，但下次有人问他同样的问题时，他会假装思考然后在几秒钟内当场猜出答案。
不管怎样，他后来成了一位著名的物理学家。
Janet Cunliffe
Well it takes imagination and practice. There are problems every day to make decisions on that require some knowledge of the situation. I have only one black shoe in my closet - where is the other one? Deductive reasoning will cause you to back-track your actions until you find it.
If you are referring to math problems realize the various types. First learn your basic addition, subtraction, multiplication, division, and fractions. Then learn to identify what they are asking for:
Two trains going in the opposite directions, at different speeds over a certain distance is a a fraction question for percentage.
Join and Separate Problems, Dad bought 8 potatoes, gave 7 apples to Mom for a pie, then bought 18 carrots, gave away 3 how many vegetables does Dad have now?
解决好问题需要想象力和实践。每天都有需要了解情况才能做出决定的问题。我衣橱里只有一只黑鞋子——另一只在哪里？演绎推理会让你追溯自己的行为，直到找到为止。
如果你指的是数学问题，那就认识到各种类型的问题。首先学习基本的加法、减法、乘法、除法和分数。然后学会识别（运用）它们的满足条件。
两列火车相向而行，以不同的速度行驶一定距离，这就是百分数的分式问题。
加入和分离问题：例如爸爸买了8个土豆，给了妈妈7个苹果做馅饼，然后买了18个胡萝卜，给了3个。爸爸现在有多少蔬菜？
Well it takes imagination and practice. There are problems every day to make decisions on that require some knowledge of the situation. I have only one black shoe in my closet - where is the other one? Deductive reasoning will cause you to back-track your actions until you find it.
If you are referring to math problems realize the various types. First learn your basic addition, subtraction, multiplication, division, and fractions. Then learn to identify what they are asking for:
Two trains going in the opposite directions, at different speeds over a certain distance is a a fraction question for percentage.
Join and Separate Problems, Dad bought 8 potatoes, gave 7 apples to Mom for a pie, then bought 18 carrots, gave away 3 how many vegetables does Dad have now?
解决好问题需要想象力和实践。每天都有需要了解情况才能做出决定的问题。我衣橱里只有一只黑鞋子——另一只在哪里？演绎推理会让你追溯自己的行为，直到找到为止。
如果你指的是数学问题，那就认识到各种类型的问题。首先学习基本的加法、减法、乘法、除法和分数。然后学会识别（运用）它们的满足条件。
两列火车相向而行，以不同的速度行驶一定距离，这就是百分数的分式问题。
加入和分离问题：例如爸爸买了8个土豆，给了妈妈7个苹果做馅饼，然后买了18个胡萝卜，给了3个。爸爸现在有多少蔬菜？
Rene A Escobar, Senior Developer at Digital Branding Agency
Problem solving is something we continuously have to deal with our whole lives. One of the best ways to really become good at problem solving is to really think about the problem at hand. Think about all of the assumptions you have of how something should be solved and set them aside. Map out your problem either on a piece of paper using sketches or even use props around you. Once you think of a solution that may work, follow through and repeat if you fail. Try again until you've exhausted your limits. Once you google and find the answer, examine your failures and fallacies in thought. You will struggle, but it's the struggle that makes us better thinkers.
解决问题是我们一生中必须不断处理的事情。真正擅长解决问题的最好方法之一就是认真思考手头的问题。想想你对如何解决某件事的所有假设，把它们放在一边。在纸上画出你的问题，或者用草图，甚至用你周围的道具。一旦你想出了一个可行的解决方案，坚持到底，如果失败了就重复。再试一次，直到你用尽你的极限。一旦你搜索并找到答案，检查一下你的失败和思想时的谬误。你解决问题时会艰难行进，但正是这种努力奋斗的状态让我们成为更好的思考者。
Problem solving is something we continuously have to deal with our whole lives. One of the best ways to really become good at problem solving is to really think about the problem at hand. Think about all of the assumptions you have of how something should be solved and set them aside. Map out your problem either on a piece of paper using sketches or even use props around you. Once you think of a solution that may work, follow through and repeat if you fail. Try again until you've exhausted your limits. Once you google and find the answer, examine your failures and fallacies in thought. You will struggle, but it's the struggle that makes us better thinkers.
解决问题是我们一生中必须不断处理的事情。真正擅长解决问题的最好方法之一就是认真思考手头的问题。想想你对如何解决某件事的所有假设，把它们放在一边。在纸上画出你的问题，或者用草图，甚至用你周围的道具。一旦你想出了一个可行的解决方案，坚持到底，如果失败了就重复。再试一次，直到你用尽你的极限。一旦你搜索并找到答案，检查一下你的失败和思想时的谬误。你解决问题时会艰难行进，但正是这种努力奋斗的状态让我们成为更好的思考者。
Ethan Sidis, Problem Solving Enthusiast.
First I think main in problem solving is intuition not logic. By intuition we create by logic we proof. I advice if You decide to solve problems use Your intuition and try to grow it. then You need practise. Make difficult and interesting problems and make different problems to adapt your mind and to be ready for new problems. I think theory, good practise and using intuition is best to became good problem solver. Forums is very good too you study there how other peoples thinks they just follow their intuition and right logic. Art of Problem Solving is great resource for that, for problems also as forum. Right practise anyway is most important i think. Don't use sudoku or something that "train" methods, they don't train your thinking level, that is just dead calculation, not thinking.
首先，我认为解决问题的主要方法是直觉而不是逻辑。我们凭直觉创造方法，凭逻辑去证明。我的建议是，如果你决定要解决问题，就要运用你的直觉，并努力培养它。那么你需要练习。提出困难而有趣的问题，提出不同的问题来调整你的思维，准备好面对新的问题。我认为理论，良好的实践和运用直觉是成为一个在解决问题方面厉害的人的最好方法。论坛也很好，你在那里研究其他人的想法，他们只是遵循他们的直觉和正确的逻辑。《问题求解艺术》是一个很好的资源，也是解决问题的论坛。我认为正确的练习是最重要的。不要使用数独或其他“训练”方法，它们无法训练你的思维水平，那只是刻板的计算而已，而不是思考。
First I think main in problem solving is intuition not logic. By intuition we create by logic we proof. I advice if You decide to solve problems use Your intuition and try to grow it. then You need practise. Make difficult and interesting problems and make different problems to adapt your mind and to be ready for new problems. I think theory, good practise and using intuition is best to became good problem solver. Forums is very good too you study there how other peoples thinks they just follow their intuition and right logic. Art of Problem Solving is great resource for that, for problems also as forum. Right practise anyway is most important i think. Don't use sudoku or something that "train" methods, they don't train your thinking level, that is just dead calculation, not thinking.
首先，我认为解决问题的主要方法是直觉而不是逻辑。我们凭直觉创造方法，凭逻辑去证明。我的建议是，如果你决定要解决问题，就要运用你的直觉，并努力培养它。那么你需要练习。提出困难而有趣的问题，提出不同的问题来调整你的思维，准备好面对新的问题。我认为理论，良好的实践和运用直觉是成为一个在解决问题方面厉害的人的最好方法。论坛也很好，你在那里研究其他人的想法，他们只是遵循他们的直觉和正确的逻辑。《问题求解艺术》是一个很好的资源，也是解决问题的论坛。我认为正确的练习是最重要的。不要使用数独或其他“训练”方法，它们无法训练你的思维水平，那只是刻板的计算而已，而不是思考。
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