However, I think that Ni and Ne might prove to be the biggest help to coming up with new ideas in math or solving problems that you aren't really sure how to solve.
You might be onto something, here.
I have always been chastised and at times even penalized by my math teachers for being a renegade "step-skipper" in solving equations. LOL, I wouldn't be able to count the amount of times, "Show your work!" has been scribbled in red next to my, correct answers!!!

Also, as a child, word problems were my absolute favorite, and I relished in finding alternate or innovative ways to arrive at their solutions.
For me, math has always seemed like common sense. Where other people have to study and work through examples to understand the material, I usually just 'get it'.
I'm probably a mathematician in a parallel universe.
Lol, math has always intuitively/instinctively made sense to me as well, and growing up I often found myself feeling utterly baffled by many of my peers' apparent inability/difficulty towards grasping what I found/thought to be ridiculously easy/obvious/logical/simple rules/applications.
Math just made sense and I couldn't understand/fathom how this was not the case for everyone.
I dunno, I think for me it was more a case of having really shitty teachers and other huge issues I had at school (identity crisis being one but sooo many others) so i was never able to really concentrate or enjoy the actual content. Math lessons were especially traumatic for me when we got told to sit in alphabetical order, resulting in me being next to, for a year, the person that bullied me all the way thru school
I loved physics - the bullies weren't in my class for that - I was able to relax and take in the lesson and I enjoyed it and never had any trouble following all the math involved in that.
So... there're a lotta environmental factors I imagine, for other people too, besides their order of cognitive functions
I hate fucking bullies, that really sucks, and I'm sorry that you had to be subjected to that kind of torture, and on a daily basis, no less!!!
:sad:
Hmm, I think, generally speaking, math teachers suck major ass!!!
I can't recall a single math teacher or professor in the history of my formal education that I loved or respected. *All* of them were socially inept, some were vile, most were robotic and a few, (my favorite of the bunch), were more on the gentle/neutral side.
I think I can safely say that I've never really been "taught" math, rather, for as long as I can remember, I have either taught myself or learned directly from the textbook.
As for environmental prohibiting factors, I was rarely, if ever, encouraged by my teachers, after all, girls aren't good at math.
(ass-fucks)
Well, it's a sure thing that the Ne comes into play with the patterns. Since you're good with the patterns and properties but think the actual calculation was boring; would you think then that the properties and patterns were more asociated withTe, and the calculation, with Ti? I Thought it might have been the reverse, and this is at the center of what I was asking.
Ti, I'd imagine, would foster and facilitate more adept computational skills amongst mathematicians.
As of late, academically speaking, I have somewhat deviated from my mathematical roots, but I must admit, or add, that I did derive a slight sense of joy/satisfaction in systematically calculating derivatives or solving any other "non-thinking" linearly natured problems/equations, because I could listen to music while working on them and in the process would fall into a kind of rhythmic and relaxing zone. Tangent, sorry. :/
With the simplest definition of the thinking attitudes being Jung's "internally based logic" vs "externally based logic", it would seem that math would be external. But it seems the logical principles are not only "external", but also universal, and in the case of the feeling attitudes, "universal" [values] actually get grouped together with the internal (introverted) focus. So I imagine that would apply to the thinking side as well.
I find logical principles to be innately apprehensible , for me, logic is a simple and straight forward cognitive tool/means of discerning possible or probable truths/outcomes given a set of conditions/variables contained within a particular scenario/problem.
Logic, like language, is a universally human cognitive function/capacity.