"I continue to ignore tense." Vs I continue ignoring tense.
Are they both grammatically correct? What is the difference in meaning between these sentences? Are there any tricks or tips regarding when to use an infinitve and when to use a gerund when both are possible?
You may use either without fear or favor
I don't know of any. Generally there is no real difference, but as you already know that is not always the case:
https://www.englishforums.com/English/TryToSayVsTrySaying/bxhnpq/post.htm
I wouldn't worry too much about it
There is no difference in meaning. Gerund or infinitive may be used. But the infinitive is more usual with verbs that describe mental activity like thinking, understanding, knowing, etc. I'd say that the infinitive "to ignore" is a better choice.
See this:
https://books.google.com/ngrams/graph?content=continue+to+ignore%2Ccontinue+ignoring+&year_start=...