A plan of action designed to achieve an overall aim. Example, "Whats your strategy for setting goals?", is ok to say but some people might not know what you mean. Strategy is almost like the word 'tactic'. Example :
What tactics do you use?
My teams tactics are going around
Method
Method is a way something is done.Example:The recipe that I found in the cookbook had different ways to cook the potatoes, but I chose the bake method in the oven.
With regards to Research Reports, the three terms are often used interchangeably. However, these synonymous words can be interpreted to portray different meanings.
An APPROACH could be seen as your perspective, ideology, belief or theoretical stance on something. It encompasses a set of logical assumptions that could be made for better comprehension of issues. It could also be seen as a term that births your systematic plans and the strategies that you'll use to achieve particular objectives.
A METHOD is a target plan or set of orderly procedures that are based on a credible approach. It reveals what needs to be done in a systematic way and how to focus on achieving those goals.
A TECHNIQUE is a precise strategy, concrete trick or a tested and trusted tip that’s designed to help you reach your goals. It could be in form of an exercise or just any activity that you have to do to complete your mission.
The strategy is a general orientation, a perspective of where to go and what to do; all this is reflected in a document called General Plan or Strategic Plan.
Method is the specific, detailed way of arriving at what is proposed in the strategy
Strategy is associated with planning and the method associated with action. This planning may require meditation, research, intuition, and other associated elements. The methods are the modes used to perform the planning performed. The more tuned the planning and methods, the more efficient the teacher becomes in his daily activities.
Think these 2 words bring subtle different meanings when they are use separately vs when they are use together for comparison purpose.
Strategy is a plan how to achieve a goal which is a higher order statement (if compare with method) e.g. the company's strategy is to produce low cost products to increase its market share.
Method is a way to accomplish a task which is a lower order statement (if compare with strategy) e.g. there are different methods to produce low cost products i.e. getting low quality raw materials, negotiate to procure raw materials at lower cost, improve manufacturing process to avoid rework / wastage etc.
Method(s) can be more detailed & subset components of a strategy.