NT math is like trying to see in the dark

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ruveyn
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27 Mar 2009, 3:32 pm

garyww wrote:
Even today I have my own math. To me normal math is impossible to understand.


Are you talking about mathematics (as in proving theorems) or arithmetic (as in calculating numbers or answers to problems)?

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Kangoogle
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27 Mar 2009, 3:35 pm

ruveyn wrote:
garyww wrote:
Even today I have my own math. To me normal math is impossible to understand.


Are you talking about mathematics (as in proving theorems) or arithmetic (as in calculating numbers or answers to problems)?

ruveyn

I really really hope he means the latter...



garyww
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27 Mar 2009, 8:22 pm

I am talking about the manipulation of 'numbers' as they are typically experienced by 'normal' people.
To me 'numbers' just are very foreign to my perception of things.


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ruveyn
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27 Mar 2009, 8:28 pm

garyww wrote:
I am talking about the manipulation of 'numbers' as they are typically experienced by 'normal' people.
To me 'numbers' just are very foreign to my perception of things.


I assume you can count, so why are numbers "foreign" to your perception of things. A dozen eggs are a dozen eggs.

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garyww
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27 Mar 2009, 8:34 pm

Actually I have extreme trouble 'counting' or 'figuring' as it is typically understood. It is very hard to explain but for me numerials are basically just characters as in the alphabet so I have to 'spell' things instead of doing computations. For simple things I 'count' on my fingers. calculators have made it much easier for me to relate to normal people on what I guess is called a mathematical level. I have my own notation for numerials as I can't comprehend the typical writen representations.


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garyww
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27 Mar 2009, 8:35 pm

By the way a 'dozen' for me is a picture not a number or a value.


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Kangoogle
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27 Mar 2009, 8:42 pm

ruveyn wrote:
garyww wrote:
I am talking about the manipulation of 'numbers' as they are typically experienced by 'normal' people.
To me 'numbers' just are very foreign to my perception of things.


I assume you can count, so why are numbers "foreign" to your perception of things. A dozen eggs are a dozen eggs.

ruveyn

Numbers are abstract though. To be honest, everyone who goes high enough in maths will reach a stumbling block where things tend to be a little bit too abstract to get your head around straight away. Groups tend to be something that many people struggle with.



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27 Mar 2009, 8:57 pm

I am not alone in the way I perceive my envirnoment as there are many people who have the same affiction if you can call it that. I see patterns in everything. I can actually make sense of a typical computer 'core dump' if the data that is dumped is logical and not just trash. I can actually 'read' a binary adobe plot file and 'see' the image the code instructions represent. Sometimes it works and sometimes it doesn't. It depends on what is being transmitted. I would really enjoy finding some significance in 2+2=4 but to me it is just a picture and I do not understand that it is a 'process' with a 'result' if that makes any sense.


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gsilver
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27 Mar 2009, 9:41 pm

I thought aspies were more attuned to math/sciences.

*poof* another preconception, gone.



I have a BS in Math (and an MS in Computer Science, which uses a lot of math).


Though I can say that my Math is different than normal. Even with the advanced stuff, I'd go about it using a very different thought process than expected. On simple stuff, I'd often jump straight to the answer. On more complex stuff, I'd sometimes use methods described by my teachers as 'like using a cannon instead of a fly swatter' to solve some problems and in some proofs.

Part of it is because my memory is horrible, so I had a hard time recalling details, and had to recompute a lot of things.



Amicitia
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28 Mar 2009, 10:34 am

Kangoogle wrote:
Amicitia wrote:
At some point I realized that I do mental math backwards. I add from left to right and do some other things that are harder to explain. But the point is it works, and I can do it fairly quickly, so I don't see what the problem is.

Its fine at a lower level. But wait until things are not commutative, i.e. where we cannot say that a + b = b + a in general.

Quote:
I took one math class in college. The professor thought I was a genius because of my spatial intuition. But ultimately I only got a B. Oh well.

I have a few more entertaining ways of convincing my professors that I am a genius. There was the time when I showed up pissed and late then just solved all the problems calmly...


First: I'm talking about the ordinary every-day kind of math, like adding up real numbers or figuring percentages. I avoid complicated high-level math as much as possible. If I was going to do complicated math, I would have to write it down, and then I would use the textbook method.

Second: I had another professor who liked to tell a story about how to convince people you're brilliant. Unfortunately, it relies heavily on first impressions and preconceived notions, and I'm not very good at it. Maybe I should make a thread about that... would anyone be interested?



anna-banana
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28 Mar 2009, 11:42 am

I've had exactly the same problem with math as the OP describes. thanks for putting it to words for me!

I only started understanding complex numbers when a smart teacher told me to picture them as vector spaces.

I hated algebra nonetheless though. :p


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kaitlyn_loves_music
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28 Mar 2009, 12:01 pm

yeah math really confusing but when my mom's bf help me he helped me with his way not the way the teacher did the notes.
i think the old ways of math were much easier there just making it real hard with all the new steps and methods.



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28 Mar 2009, 5:39 pm

Amicitia wrote:
Kangoogle wrote:
Amicitia wrote:
At some point I realized that I do mental math backwards. I add from left to right and do some other things that are harder to explain. But the point is it works, and I can do it fairly quickly, so I don't see what the problem is.

Its fine at a lower level. But wait until things are not commutative, i.e. where we cannot say that a + b = b + a in general.

Quote:
I took one math class in college. The professor thought I was a genius because of my spatial intuition. But ultimately I only got a B. Oh well.

I have a few more entertaining ways of convincing my professors that I am a genius. There was the time when I showed up pissed and late then just solved all the problems calmly...


First: I'm talking about the ordinary every-day kind of math, like adding up real numbers or figuring percentages. I avoid complicated high-level math as much as possible. If I was going to do complicated math, I would have to write it down, and then I would use the textbook method.

The people who do really complicated maths tend to intuitively know the answer to most of the basic stuff, without even thinking about it.
Quote:
Second: I had another professor who liked to tell a story about how to convince people you're brilliant. Unfortunately, it relies heavily on first impressions and preconceived notions, and I'm not very good at it. Maybe I should make a thread about that... would anyone be interested?

Might be entertaining I guess. One thing I will say is that its a learnable set of tricks.



robo37
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29 Mar 2009, 2:38 pm

Kangoogle wrote:
He knows an algorithm that can solve some problems, yes. But it will hold him back in the long run, for example what happens when he sits an exam and uses his methods. Inevitably the examiner will not be familiar with them and he will almost certainly drop marks.

And next week or two when he has to go and expand say (2x + 2)(3x +1) he is back at square one and has to learn the conventional method anyway. Why learn loads of different methods when you could become really proficient at one in half the time?


But I'm doing questions like those as well and I still find them easy, and I do the proper method in the exam anyway for marks. I find it irritating having to show my working out. Why bother doing all that when you already know the answer?



Kangoogle
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29 Mar 2009, 7:13 pm

robo37 wrote:
Kangoogle wrote:
He knows an algorithm that can solve some problems, yes. But it will hold him back in the long run, for example what happens when he sits an exam and uses his methods. Inevitably the examiner will not be familiar with them and he will almost certainly drop marks.

And next week or two when he has to go and expand say (2x + 2)(3x +1) he is back at square one and has to learn the conventional method anyway. Why learn loads of different methods when you could become really proficient at one in half the time?


But I'm doing questions like those as well and I still find them easy, and I do the proper method in the exam anyway for marks. I find it irritating having to show my working out. Why bother doing all that when you already know the answer?

Two main reasons:
(a) Maths is about proving theorems, rather than just deciding what the answer is and proclaiming its the answer. You have to be able to show people that your answer is the right one. Really they are teaching you this skill for later years.
(b) Its a lot more difficult to copy a series of steps than just the answer.

Tbh - most of school level maths is a joke. Your classmates who struggle are just plain dim, for the larger part.