Dear Johnny
http://www.askoxford.com/asktheexperts/faq/aboutgrammar/meandi
That article you mentioned is among the worst articles I have ever seen. It summarize all the bullshit about English in a nice short paragraph.
+++This article contains the answers++++
Reasons:
1) It implies that colloquial English is wrong:
[...] In colloquial speech 'me' is often used where standard grammar requires 'I' [...] Me and my friend went to a party last night. [Wrong] [...]
+++People often make mistakes in colloquial English. It does not matter if they do so long as they are understood. Grunts are quiet acceptable in colloquial English. If you watch Homer Simpson, his wife grunts when she is deeply unhappy about Homer's bright idea.++++
2) It encourages modifying sentences with no good reason, in an attempt to prove a questionable point (obvious bias):
[...] If in doubt, take your friend out of the sentence. [...]
+++Looking at different constructions of the same sentence to see which constructions work, and which ones don't!++++
3) It tries to explain idiomatic usage with ridiculous assumptions:
[...] Incidentally, saying 'my friend and I' instead of 'I and my friend' is not better grammar, it's just being polite [...]
+++I think you have missed the point here Johnny. Something can be grammatically correct but impolite. 'My friend and I', the friend comes first in the person's thinking. It is not always 'I' 'I' 'I', the writing style of an egotist. ++++
It is absolutely ridiculous.
+++Being self taught is one thing, being 'self opininated' is something else+++
If you don't believe me, do some research on where the article came from.
Best Wishes
But don't compete with a Native Speaker! Grrr.