"through a method" is correct and can be used in written English.
It is a way of saying that something was accomplished using a specific strategy or approach. For example: "They were able to solve the problem through a method of trial and error."
This is how Keitany works: through a method of unknowing.
A fool attempts to capture a huge prize through a method that no one else believes in.
Back in the 1950s an academic fashion arose for quantifying personal relationships through a method known as "sociometry" or "companion measures".
The Elizabeth Care scheme rests on the framework we have developed that aims to help organisations achieve excellence through a method of continuous improvement and ongoing learning.
NSAC chairman Francisco Aguilar said: "We do have a positive test, through a method we've used over time".
To improve assessment and management of chronic pain in the nursing home through a method of continuous quality improvement.
"Truth be told, these results were obtained against the free will of the settled subjects, namely the immigrants, through a method whose underlying principle was 'straight off the boat to development regions,' " Mr. Brutzkus wrote in 1964.
On the contrary, wine, stored in kegs and served through a method similar to a draft-beer line, may be the glorious future of by-the-glass pours in bars and restaurants.
Essentially, the study asks whether calorie restriction allows people to grow older in better health — with less disease, fewer drugs and shorter hospital stays — through a method that neither medicine nor scientific technology have yet come close to approximating.
For many systems this surface may be known only implicitly and defined through a method of structural analysis.
Among the classical Greek thinkers, the meanings of dialectic ranged from a technique of refutation in debate, through a method for systematic evaluation of definitions, to the investigation and classification of the relationships between specific and general concepts.
