Examining sentences

1. Do / does / did is generally used instead of repeating a verb:
He likes coffee and so do I.
John saw her there and I did as well. (NOT: ... and so saw I)

2. I am not familiar with the term 'noun phrase'. Being corrected is a passive gerund and there is vacillation in its subject. If the subject is a personal pronoun, most grammarians consider a possessive form better than the object form:

I insist on him/his going there.

Going has some of the characteristics of a noun and consequently the possessive (his) seems logical. However, the preposition (on) can also be seen to exert an influence on the word following it, which in turn yields him.

When the subject is a noun, many usage experts think the basic form is the better choice, but I think for 20 to 30 years there has been a growing tendency to use the possessive form  -  in other words, the genitive  -  here as well:

I insist on Mr Bell/Mr Bell's going there.

Those who insist on the possessive form being the only correct choice will end up writing this sentence differently.
(Those who insist on the possessive form's being the only correct choice will end up writing this sentence differently.)

3. Adjectives can be made nouns by placing the before them:

The sublime has always appealed to him.
The poor have little money.

Cheers
CB

When parents have poor listening habits, their children usually do, too.
I am not so particular about being corrected by others who know better.
...by breaking the usual routine and adding some variety ... 

too is needed to complete the thought.
I is the subject, so just being corrected is enough.  my is understood.
routine of the usual is not idiomatic.

CJ

Hi, CB, your efforts of explaining the language with the supplements of other teachers are really illuminative to teach us not only correct but also idiomatic English.

Best regards to you two respectable teachers!!