So.. Maths

Well that may well be easy to say for someone who has the ability to easily grasp maths ;)

I'm not saying figure it out as you go along, i'm saying that if you use programming as a learning tool then you may find it much easier to actually remember the concepts. Well, i'm not saying that really - i'm saying that i think that would probably help me. At the very least i think different approaches should be tried, the conventional approach to maths is very hit and miss.

Perhaps, obviously I can't speak to your experience. But not knowing what your mathematical background is, I will say that I believe the 'conventional approach' to pre-university level (and even then..sometimes..) mathematics is poor at best. I've made these points in previous threads but I really don't like the approach taken for basically the reasons you're citing. The fact is (as a basic example) 'soh cah toa' is a great way to remember a set of words associated together, but tells you an incredibly small amount about what trigonometry is really all about. And I've encountered A-Level mathematics students who have been told little to nothing more than that, with the shape of each function graph being taught as an entirely separate issue. Crazy! That's an extreme example of what I'm talking about in terms of how fundamental understanding influences how one is able to adequately deal with problems in the real 'real world'. The number of profound 'OH!' moments I've had when students actually understand something simple in a deep fundamental way and suddenly are masters of that knowledge, makes me wonder if there isnt a much better approach we should be taking to school mathematics.

/rant.


Anyway OP, in all fairness to Perma's point, whatever you do i would say try to enjoy what you're doing. Better to learn on the fly with programming and enjoy it than sit reading and working on abstract problems if you hate them, since you'll likely not get much out of it! :)
 
Perhaps, obviously I can't speak to your experience. But not knowing what your mathematical background is, I will say that I believe the 'conventional approach' to pre-university level (and even then..sometimes..) mathematics is poor at best. I've made these points in previous threads but I really don't like the approach taken for basically the reasons you're citing. The fact is (as a basic example) 'soh cah toa' is a great way to remember a set of words associated together, but tells you an incredibly small amount about what trigonometry is really all about. And I've encountered A-Level mathematics students who have been told little to nothing more than that, with the shape of each function graph being taught as an entirely separate issue. Crazy! That's an extreme example of what I'm talking about in terms of how fundamental understanding influences how one is able to adequately deal with problems in the real 'real world'. The number of profound 'OH!' moments I've had when students actually understand something simple in a deep fundamental way and suddenly are masters of that knowledge, makes me wonder if there isnt a much better approach we should be taking to school mathematics.

/rant.

I completely agree with you on how mathematics is taught, I've also found that people never learn the underlying reasoning behind what they're doing, just a set pattern to make one thing look like something else.

My pet hate is when someone moves something over the equals sign, I feel like slapping their teacher.
 
I did a degree in maths&stats. The hardest bit is understanding it tbh. To this day I can calculate **** in a certain way but I don't have a clue why I'm doing it or what it means. It's all to do with application though tbh. You can be taught a lot of stuff that was only ever developed because it's used for stuff, but as an undergraduate it's too complex to be told why it was developed, basically leaveing you completely bewildered.

My advice is jut to learn the techniques and ignore the reasoning behind it.

This guy helped me pass a couple of modules (lol), I'm sure he'll help you too!

http://www.youtube.com/user/patrickJMT
 
I completely disagree. If i didn't understand something, just followed a 'recipe' to somehow get to an answer (more often not) then i'd forget it the minute i left the exam hall. If you're learning maths as a skill to use in everyday life then you definitely want to actually understand it.
 
I didn't know of The Khan Academy site until reading this thread - I'm impressed! :)

It is very impressive isn't it?

It's something I've been trying to do now for over a year but for engineering only. It's proving very difficult just creating a useable website let alone writing the content for it.

The team they've got is very impressive.
 
Thanks for all the replies, chaps, Khan academy actually looks fantastic! I'll spend a bit of time on there at the weekend. :)
 
The module I had most problems with this last year was the one involving Boolean Algebra, took a lot of work for that to go in enough to pass the module!
 
Boolean algebra is lovely though. It follows all the rule's we're used to in normal algebra, but with the added bonus that periodically loads of the working cancels to zero and x^n = x.

For the OP- I rely a bit too heavily on wolframalpha, an online implementation of mathematica. Yesterday I needed to integrate (1+x^2)^0.5- said website works through that to the correct answer, writing out much the same steps a student should do. It's like having a never ending set of examples.
 
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