Explaining the Roles of Definitions in Mathematics V

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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

Explaining the Roles of Definitions in Mathematics IV

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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