(Not a teacher)
try to:attempting something difficult;
- I try to change the stubborn attitude of my grandpa.
try +-ing:performing an experiment to see if something works.
- He tries sending flowers to her to see if she accepts his courtship.
go on to:a change to a new activity
- She goes on to talk about her financial problems (after talking about, say, her marital status, she turns to another topic ).
go on +ing:To express a continuation of an activity
- She goes on talking about her misfortune during the trip for half an hour.
mean to do something: intend to do something
- She really meant to come.
mean doing something: symbolise, imply
- (In a yacht competition) Hey guys! When the siren blows, this means setting out at once.
remember to:to talk about things people are supposed to do in the near future
- Please remember to close all windows before you go.
remember +-ing:to talk about things people did in the past
I remember closing all the windows before I went last night.
love, like, hate to/+ing: no much difference in meaning in using infinitive or gerund
Do you love/like/hate dancing/to dance?