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Anonymous at Thu, 31 Oct 2024 03:00:26 UTC No. 16456592
I'm doing basic mathematics
>no maths
>just realizing it's essential but was putting off
>...
>proofs don't run into each other whether in addition or multiplication because they can essentially be "broken down" so you run into other proofs (for addition or multiplication, haven't got further in) if you "try" and read ab as integers instead as rules or formulas
It's really taking me some time to take things in. I wanted to ask as some of you might be in school or take math, how much do you 'a - b , a + - b' do you internalized(without practice problems) if it's even possible. I also learned that rulers and left or right from 0 is also taken for granted like simple addition and subtraction. Am I reading too much into this or is this the way the book is taught to help me build?
Anonymous at Thu, 31 Oct 2024 03:28:48 UTC No. 16456618
https://en.m.wikipedia.org/wiki/Pri
Anonymous at Thu, 31 Oct 2024 15:13:37 UTC No. 16457054
>>16456618
Ok so the understanding the concept whilist reaching through to high math is more important than knowing many different ways of solving the same math. I think that's why has so few examples and practice in these first few chapters more or less for one to have conceptualized these first rules
Anonymous at Thu, 31 Oct 2024 15:40:50 UTC No. 16457095
>>16456592
>how much do you 'a - b , a + - b' do you internalized(without practice problems) if it's even possible
https://personal.math.vt.edu/fquinn
>“Unpacking” is the use of definitions to translate statements to more primitive forms that can be worked with directly. Eventually the objects become familiar enough that they can be worked with directly and unpacking is no longer necessary, but until then we unpack.
>The challenge, therefore, is to find ways to develop completely reliable intuition. Explicitly and consciously unpacking formal definitions while developing derived properties seems to work pretty well. In fact the effectiveness of this process was
probably a key factor in the explosive growth in scope and complexity of mathematics in the last century
>The usual routine is: when a definition is introduced, work explicitly with it for a while, typically by deriving secondary properties. After a certain point you should wean yourself (or your students) from the unpacking routine and rely more on intuition and secondary properties. If the intuition is not ready, unpack a little longer.
Anonymous at Fri, 1 Nov 2024 14:23:56 UTC No. 16458225
>>16456592
>Mathematicians in their 13th year of postdoc
>Doing basic Math
>Me in third year business school
>Advanced Linear Algebra, Advanced statistics and Machine Learning and Artificial Intelligence.
no wonder you brainlets cant get a job