How to get better at maths experience 20 years

How to get better at maths 

If I were to ask you to think about a really tough problem, what would be the first thing that comes to mind? 

Okay if you have anything like me you've probably thought of some big complicated mathematical equation, right? For many, math is one of the most difficult subjects out there. It is abstract, it is complex and unfortunately for those reasons many people adopt the belief that they are not mathematical people. This is very unrealistic because mathematics is a skill that can be learned by others. But you are not one of them since you clicked on this video. Hope you have at least some confidence that you can do better in math and you have the motivation to do so. If you do, the obvious question is how you will improve in math. Well, fortunately, this is one of the questions with the simplest answer. You have to do a lot of math if you want to be better at math. And the harder the problems, the better. Because tough issues increase your awareness and lead you to new progress. But, when studying mathematics and working through these tough issues you will eventually get to the problems that stump you, you will be completely entangled. And when you get to these points it is important to know how to solve these problems in the end, because these are going to expand and build your skill set. So I want to focus on this video. I want to give you practical methods to work with and finally solve problems that could not be solved in the first place. To begin, I would like to focus on the advice shared by the Hungarian mathematician Jorge Palia in his 1945 book "How to Solve It". It goes: This is, in my opinion, a very important technique to understand and put into practice when you are trying to solve difficult math problems. Because mathematics builds itself. More complex concepts are built on simpler concepts. If you do not have a strong grasp of the basic principles, a more complex problem will stump you. So, if you encounter a problem that you cannot solve, first, identify the components or activities that you need to undertake. Many times, complex problems have multiple. Now, all you can do in this case is divide the problem into multiple issues that separate one of those components or activities. I want to show you this concept in action, so let’s work through a quick example. Now, I have chosen an example, it is very simple, but it is a little easier, so let's do something a little more complicated. So, this is a summation problem that uses the Greek symbol sigma. And it essentially says that we are going to add a series of expressions ending at variable start one and four. But, as you may have noticed, there is also a partial exposure to this summation issue. Now, there are some witches out there who can cause this kind of problem in your sleep, but you don’t really have a firm grip on summation arractional experiences. So, when you are working on a problem that connects the two, you may get stuck. So, if so uming, let's break this problem down into two simple problems, each focusing on one of the underlying concepts. First, create the problem of unequal summation, which is completely out of that deadly exponent. Now, all we have to do is evaluate that expression four times, and then add the answers that come to the final answer of 66. Now we come to the part where we talk about the middle ground. Now, I'm going to go here very quickly because these are not textual partial exponents but surely you can rewrite it four times with three times as much power. And then you can rewrite it to the square root of the three forces. Once you have guessed it, you will get eight answers.

Now, the whole point of solving these simple single concept problems is to learn the underlying concept or operation you are working on here. So, if you fix some, you may not really believe in that concept. Remember, mastery means not being misunderstood. Not getting it right once. However, once you have mastered those underlying components in a separate context you can now return to the more complex problem of combining them. 

this time, you should be able to work out those isolated concepts in your sleep, which means that all of your mental processing power can move towards a new and novel problem that works together. Now, there is an extra way to simplify the tough issues I want to talk about and if you are really close to the examples you may already have ess overridden. I never really used complex numbers. I didn’t use too many numbers. I did not use decimal points. I did not use large fractions. And to my summation problem I stuck to the lower limit. Really complex, large numbers with very decimal points can divert your attention from concepts and activities. So, if you get into a tough problem with these types of numbers, work with a similar problem with smaller numbers that are easy to add or work in your head, so you can zero in on real concepts. In fact, sometimes it moves you a lot of understanding of concepts and activities to work with them and solve that problem. In that case, it's time to dump her and move on. Dig through your book, look through your notes or find example problems online, you can follow step by step so you can see how people are getting solutions using these concepts. And, if you need to, you can get a step-by-step solution to the exact problem you are working on. You have many tools to do this. The two best I want to focus on in this video are Wolfram Alpha and Symbolab. Both of these websites allow you to type the equation, get the answer and the Zifa and Symbolabs that you can follow.

The difference between the two is that while Wolfram Alpha has more power and efficiency, you need to be part of their payment plan if you want to get those step-by-step solutions. In contrast, I found that typing the equations in SimbolabVas was a bit slower and less obvious with Wolfram Alpha, whose step-by-step solutions are free. Regardless of the tool you choose to use here, it can sometimes be helpful to look at a step-by-step solution to the problem you are stuck with. But, there are some very important exceptions here. First, before you rush for a solution, ask yourself, "Honestly, did I push my brain to the limit of trying to solve this problem in the first place?" Spending the mental effort needed to solve the problem yourself is going to expand your capabilities. It’s going to make a good mathematician, it just doesn’t look for solutions. Now, if you need to find a solution, that's good. Look at it, follow the steps and make sure you understand how the answer came. But, once you donate, challenge yourself to go back without seeing that hint and get the problem working again. It is important to be vigilant about this. Because if you want to be better at math, learning the concepts you are working on is the whole point. The risk of looking for solutions is that it is very easy to follow along with the step-by-step solution with mathematics and can understand what is going on. But it is very different than being able to do it on your own. And that brings me the final tip for you. This is especially important for anyone with homework assigned to a math class workout. Do not rush when you are solving math problems. I know you're really excited to try to get to work as fast as you can through homework, heck, I even did a videoabout recently. But, especially with mathematics and science and rushing with any kind of really complex subject will get you on the road. Because when you are in a hurry, you do not learn feelings. You will be brutally forced your way to give answers or you will see things, or fraudulently face your way to the homework assignment you have completed. Next, when you sit in an exam room or you have to apply what you have learned in the real world, you are going to get a tough lesson about what you do not know. So let's look back here. If you want to get better at math and improve your ability to solve really difficult problems first, identify the combination of concepts or activities used in a problem, and then isolate them. Work on simple problems that use only one, and then learn each concept. You can simplify the problem by leaving the concepts of the combination intact, but in short, the numbers can be easily maintained. If you need a concept, look for sample problems online for your book or online explainer article, or use a tool such as Wolfram Alpha or Symbolabto to get step-by-step solutions to the problem you are working on. Lastly, do not speed up your homework tasks. Before you finish, make sure you focus on mastering the concepts. Hopefully these tips will give you the confidence to solve some tough math problems and expand your math skill set. And on that note, I would like to leave you with a quote from the great physicist Richard Feynman, who said: Finally, it starts with: your ability to get good at mathematics and having the confidence to approach anything else on that subject. And your confidence will naturally increase as you solve problems and make mental progress. It becomes a self-sustaining cycle. If you are interested in starting the learning cycle now, Brilliant is a great place to start your journey. A learning platform that uses problem solving as a basis to help you learn math, science and computer science.

  I'm actually taking their computer science fundamentals courseright now, and as I was going through the firstsection on algorithms the quiz questions they gave me forced me to learn new math I hadnever learned before. I had to dig into wikisand example problems. And eventually I had to get out a sheet of notebook paper and literally draw out algorithms step-by-step so I could understand what was going on. This process provided mewith a much more intense and effective learningexperience than I got sitting through mostof my college lectures. And these types of challenges that really force you to dig in, form the foundation for all of their courses. Which include probability, logic, calculus astronomy, computer memory and more. In addition to the structured courses Brilliant also has weekly challenges that you can use to improve your skills and has a community where you can talk with other learners andit has a fantastically detailed and helpful wiki with lots of explanations and examples. So, if you want to give Brilliant a try click the link the description down below and sign up for free to start learning. 

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