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Background Information

Explaining the Roles of Definitions in Mathematics V

DrDel March 12, 2019March 4, 2019

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

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Background Information

Explaining the Roles of Definitions in Mathematics IV

DrDel March 7, 2019February 20, 2019

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

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Thought Provokers

Mathematics is useful because it is:

  • Abstract (context free – a detached language)
  • Objective (enjoys universal agreement)
  • Permanent (unchanging basic facts)

Mathematics enjoys these three characteristics because the primary mode of learning in mathematics is formal and deductive.

 

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