One example within Western science: Go back and forth between a reductionist view and a synthesis view. This way, one can elicit detailed evidence while not losing sight of its contextual significance.

Another example when attending university classes: Immediately before attending your math class, condition yourself by, say, reviewing recent materials from this class; whereas, immediately before attending your art appreciation class, review pictures of works of art from your text book.

Another example when wanting to have a more balanced approach to life's problems: Contemplate the linear, atomistic Western view of the problem; then contemplate the integrated, holistic Eastern view of the situation.

Going back and forth this way, allows for a balanced approach without attempting to simultaneously blend inherently incompatible world-views.