You need to understand the nature of thoughts
So, we need to know about the nature of thinking. Whenever we try to be aware of the thinking mind, automatically we pay attention to the story line, the concept.
When we practice again and again to be aware of the thoughts, slowly the mind understands that thinking mind or something is happening. Slowly, the mind understands that it is object, something happening. Then the mind understands more about the nature of the mind. Then we can separate what is concept and what is nature.
When the mind understands more about nature, the mind settles down because nature is nobody there. And also, nature is cause and effect process.