Do you know if this is the case for other exam boards too?(Original post by Quivai)
As someone who has been self-teaching A Level maths for the sake of learning, I really hate the Edexcel specification for calculus. It skips over so many proofs and concepts that a deep understanding is all but impossible unless you go out of your way to learn from other sources. In addition, the order that material is presented makes things needlessly more difficult.
As an example, you are introduced to the number e early on in C3 by being shown the derivatives of 2^x, 3^x, etc. and being told that because of a noticeable pattern, there must be such a number as e. The problem with this approach is that at this stage, you don't even know how to even derive 2^x or 3^x. Moreover, deriving them requires you to use logs in base e, making the entire proof circular.
Another example is the fundamental theorem of calculus. The Edexcel textbooks simply skip over it, giving only an extremely brief explanation on how to find definite integrals. So you're left wondering just why taking the definite integral of a function will magically find the area under a curve.
To compound matters, the Americans teach calculus in a completely different order, and teach concepts we don't need to know for A Levels, such as discontinuous functions and taking limits from both sides. So when you try turning to internet resources focused on the American curriculum, you'll occasionally find you're expected to have knowledge of things you either haven't learnt yet, or won't learn for A Levels.
All in all, calculus as taught by Edexcel is extremely frustrating if you like understanding things.
Is it worth learning proofs of specific concepts in A-level maths? Watch
- 20-04-2014 13:39
- 20-04-2014 13:43
- 20-04-2014 13:46
you will become a Math Boss if you love proofs
- 20-04-2014 13:49
WJEC examines first principles for differentiation I know.
- 20-04-2014 13:56
Looking at derivations really helps with understanding and actually learning about maths, but IMO too many schools are focused with getting good exam grades instead of actually learning the concepts so you just get people who regurgitate what is given in the textbook and have no idea what to do when they need to think about something (Last year's 'terrible' C3 exam is a good example of this)