Category:FCP Math Facet

A Mathematical Facet is a purely mathematical way of looking at a block.

Intended Audience
The ideal audience for a mathematical facet consists of professional mathematicians -- those who are accustomed to reading and writing contemporary mathematical proofs. This might include graduate students in pure mathematics as well. If someone has read and understood a mathematics research article (from a research journal like Annals of Mathematics, rather than a popular magazine like the Mathematical Monthly), then they should certainly be qualified to read the mathematical facet. In addition, graduate students in mathematics and others with background in the foundations of mathematics, should be able to read and understand a mathematical facet.

Writing Qualifications
In order to write a mathematical facet, one should be a practicing mathematician. In particular, a writer should have a Ph.D. in mathematics, and peer-reviewed publications in a mathematical research journal.

Content Guidelines
The content of a Math Facet include:
 * 1) Mathematical proofs to accompany the content of the block: These should include proofs of existence/uniqueness of solutions, proofs that an algorithm "works", and proofs of theorems and formulae.
 * 2) Examples and Counterexamples: Examples illustrating the algorithm.  Counterexamples illustrating common misunderstanding.

Usage Guidelines
The mathematical facet should be used to drive the development of other facets.

The mathematical facet can be used by professors teaching courses in mathematics for prospective or current high-school teachers.