Framework Thinking

We never think about thinking, metacognition, they call it. Its something that has stuck with me for a really really long time since I first heard about it about 15 years ago  Then I heard Amin Toufaani taking about Lygometry, the quantification of what one does not know. What a cool name, Toofani, what a cool name, lygometry.  Now the two things are together in my mind, lygometric approach to thinking should be something taught at schools and beyond. Everywhere someone is teaching something we should teach them what we do not know, so they understand how to think about things that dont make sense to anyone. Why is this important, well Toufaani suggests (and i agree with him here) that knowing what you do not know allows one to be creative in finding solutions to open ended problems And then again I find this interesting, since my entire life has been open ended problems, which I now realize, I need to be able to think about and solve, should I ever want to rid myself of the c...
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Project Euler Q2

I've recently begun to re-teach myself, to learn how to think more structurally. My goal isn't really to get to an answer but to understand why I think the way I think, so I spent some time on the 2nd question on Project Euler


Solving this with brute force was mentally frustrating, but more so because I could feel there was a faster way to do it, just not sure what that was. What was interesting was that I saw there was a sequence, every 3rd term was even. But despite knowing that, it was hard to develop some sort of formula to solve.


Heres the question:


Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:

[1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ]


By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms



If you want to try it out yourself: https://projecteuler.net/problem=2


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