English English Dictionary
- head for in English:
1. 
to go in a particular direction
English word "head for"(to go in a particular direction) occurs in sets:
new opportunities - intermediate2. 
make for
He tried to make for the exit but was too drunk to reach it.
Her teenaged children are always hungry. As soon as they arrive home from school, they make for the refrigerator.
We have to make for the north.
Which exit of this building would you make for?
I think it's time we made for home; Both teams are on good form, which should make for a great game.
Everyone agreed that filming inside a chocolate factory would make for good television.
We decided to make for the nearest beach.
English word "head for"(make for) occurs in sets:
Evans - CPE (Chpt 9&10)3. 
go towards
The proceeds from the sale of the grounds will go towards the construction of a new stadium.
to travel in the direction of 
to aim for or move toward someone or something 
to go into a specific direction 
to move in the direction mentioned 
go in the direction of 
to go or travel towards a particular place especially in a deliberate way 