Role #5: They promote understanding. See 21 Feb blog. Personally, my first thought about the role of definitions in mathematics is that they are necessary to facilitate communication, but after a moment’s reflection I also realize that my understanding of a mathematics concept is quite dependent on the related definitions and so it must be

# Category: Background Information

# Explaining the Roles of Definitions in Mathematics IV

Role #4: They are the core element of every simple concept. See 21 Feb blog. Study the blog on 26 JUN 18. Simple mathematics concepts are constructed with a definition as a central core tightly wrapped in several layers of illuminating information. Therefore, for any one of teaching, learning, or studying to be effective it