Thinking algorithms and how to amplify analytical methods in daily life

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Improving cognitive skills for problem-solving in engineering and science requires practical approaches rather than solely relying on logic puzzles. Engaging with everyday events through scientific questioning can enhance analytical thinking. Processing mathematical equations during calm moments, such as while walking or relaxing, can foster better understanding and retention. Additionally, hands-on experience through building projects can significantly improve engineering skills. Focusing on these methods can help develop the necessary cognitive abilities for tackling complex problems effectively.
issac newton
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I am an engineering student. I am an average student. I don't think my methods of analysis and thinking are proper. I did take steps to improve my thinking abilities by becoming a left-handed person, solving sudoku and lateral thinking puzzles.

I want to be a scientist in my life. But i heard that scientists solve problems on mind and write equations in thin air. i tried them and failed absolutely.

can we solve problems (like integral calculus,differential equations,etc) with little practice , like scientists do?

kindly suggest me some links or methods through which i can improve my cognitive skills to face non-linear and tough problems like engineers( and scientists) do.
 
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Issac Newton said:
I am an engineering student. I am an average student. I don't think my methods of analysis and thinking are proper. I did take steps to improve my thinking abilities by becoming a left-handed person, solving sudoku and lateral thinking puzzles.

I want to be a scientist in my life. But i heard that scientists solve problems on mind and write equations in thin air. i tried them and failed absolutely.

can we solve problems (like integral calculus,differential equations,etc) with little practice , like scientists do?

kindly suggest me some links or methods through which i can improve my cognitive skills to face non-linear and tough problems like engineers( and scientists) do.

Solving random logic puzzles isn't really that useful. It's just a waste of time and for the most part useless unless you intend to kill time. The only point I see of solving logic puzzles is if you can win prizes with them, are trying to prove a mathematical theorem with them, or are trying to show off to a friend, and all of these instances are quite rare, so don't bother really.

Instead, try to think about everyday events in a scientific manner. Such as asking question... why did this happen? why did I do this? how does this work? what can I do to fix this?

Basically, questions beginning with a "why" or "how".

Regarding mathematics,
Also, try to process equations in your head when you are in the bathroom, sleeping, or when you are alone walking in the street. In those moments your mind is usually very calm and that is when it can produce the most. Not when it is super stressed out at the desk.

And to improve engineering, try to build stuff.

BiP
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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