I have some question about difference between "follow a method" and "use a method":
- During the experiment, he followed a new method.
- During the experiment, he used a new method.
Could both be the same?
They could be. This is just a matter of which is more commonly said.
In AmE, one usually refers to
But
Perhaps this is because a procedure typically includes sequential steps; whereas a method may be more general (as guidelines or rules), and not necessarily sequential.
Consider a simple example.
Procedure A:
1) do this
2) do that
3) do something else
4) do the last thing
Method B:
• record all results on the Lab Notes
• make sure all equipment is clean
• measure carefully
• do not copy from others' Lab Notes
I would say that the difference would be in underlying connotations.
To me, the first one implies an obedient, unquestioning action. The second one implies that the subject made a conscious and rational decision to make use of the new method.