In Nouns^x, Jokes^x, Constructions^x

Hello English teacher in Australia, I'm happy to respond to your post. It was quite clear from your initial post that you objected to "that" being the correct answer to the original question. You also denied the grammatical validity of two other like examples where "that' is used as a...

The word "to" is part of the infinitive, so "approach to manage" is a noun ("approach") followed by an infinitive ("to manage"). There is no preposition here. The "to" is not a preposition. You always use the gerund after a preposition. "Thank you for helping." -- never "Thank you for to...