Hey /sci/. Can you help me? Let us visualize together and try to make a representation of math, from the most basic and fundamental to the most sophisticated and removed from normal.
On the lowest tier I guess would be recognizing the indo-arabic numbering system. The symbols from 1-9 and their names.
Then would come familiarization with zero. And then with zero, come defining 10. And with defining 10, the idea of the New Columns and New Rows and the Decimal System.
Basically, every new concept of math you introduce must be only one tier removed from familiar concepts which have been explored and come before. So, I guess, addition and subtraction would come before multiplication and division, which would come before calculus.
I'm specifically looking for a tiered tree so that some math subjects can sit in parallel. And any math that requires multiple things from the tier below, naturally, obviously, belongs in a tier just above that.
I've found some interesting math subject trees before but they were hopeless schizophrenic messes. Not clean tiered trees. Surely, there's a finite number of subjects and concepts a person comes across in the subject of math from Kindergarten to university high honors trigonometry, right?
I'm not asking you to do the work for me, this is a conversation thread. We can discuss where a math subject might sit and how many concepts removed from "basic god damned child counting to 10" it sits. But, the hope is to get a roadmap of milestones and disciplines leading to these advanced subjects build on more fundamental stuff.
Talk with me, /sci/!
On the lowest tier I guess would be recognizing the indo-arabic numbering system. The symbols from 1-9 and their names.
Then would come familiarization with zero. And then with zero, come defining 10. And with defining 10, the idea of the New Columns and New Rows and the Decimal System.
Basically, every new concept of math you introduce must be only one tier removed from familiar concepts which have been explored and come before. So, I guess, addition and subtraction would come before multiplication and division, which would come before calculus.
I'm specifically looking for a tiered tree so that some math subjects can sit in parallel. And any math that requires multiple things from the tier below, naturally, obviously, belongs in a tier just above that.
I've found some interesting math subject trees before but they were hopeless schizophrenic messes. Not clean tiered trees. Surely, there's a finite number of subjects and concepts a person comes across in the subject of math from Kindergarten to university high honors trigonometry, right?
I'm not asking you to do the work for me, this is a conversation thread. We can discuss where a math subject might sit and how many concepts removed from "basic god damned child counting to 10" it sits. But, the hope is to get a roadmap of milestones and disciplines leading to these advanced subjects build on more fundamental stuff.
Talk with me, /sci/!
