This video introduces two ideas which might help the viewer to reinterpret the concept of products and multiplication as cognitive schemas. There are two distinctive ways of thinking underlying many concepts: reasoning in terms of INTENSITY and in terms of the EXTENT OF INTENSITY. This video, just like all other videos in this series, is about cognitive patterns underlying mathematical thinking. The ideas in this video come from a book published in 2014 under a title CONCEPTUAL UNDERSTRUCTURE OF HUMAN EXPERIENCE which could be purchased from AMAZON.