Normally pure thinking is recognized in fields such as mathematics and philosophy. Michael Muschalle makes the point in his "Goethe, Kant and Intuitive Thinking in Rudolf Steiner's Philosophy of Spiritual Activity" that we use pure thinking in every single act of knowledge on a daily basis. Pure thinking is thinking in universal concepts. So the concept "door" that does not refer to a specific door but to all doors in a universal concept.
I examined a recent experience in thinking wondering how I had arrived at a practical idea. I entered a room and a child was seated at a table with crayons who had started a crayon drawing, but the child's attention was being diverted to a pile of small plastic eyes used for gluing onto craft projects. I felt a discomfort as I wanted the child to continue with the art project and not have their attention split between two things.
My attention focused on the drawing and the pile of eyes next to it. My thinking had in mind the pure concept "drawing" next to the pure concept "eyes". Thinking intuition then discovered a relationship between the two, a common element between them which was the pure concept "animal". Animal relates to the drawing because you can draw an animal. Animal relates to eyes because an animal has eyes. This universal link found on the level of pure concepts was particularized in the concrete imagination-picture of drawing an animal and then using glue to attach the plastic eyes to the drawn animal. In this way the child could combine the two separate activities into one craft project.
After making this suggestion a person in the room said, "What a good idea!" By learning about how we get ideas through the study of The Philosophy Of Freedom and observing our thought processes we can experience more useful practical ideas in our everyday life. The ideas may not be that profound but they can improve a day.