Editing Mathematical practice (section)

==Historical tradition==
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The evolution of mathematical practice was slow, and some contributors to modern mathematics did not follow even the practice of their time.  For example, [[Pierre de Fermat]] was infamous for withholding his proofs, but nonetheless had a vast reputation for correct assertions of results.

One motivation to study mathematical practice is that, despite much work in the 20th century, some still feel that the [[foundations of mathematics]] remain unclear and ambiguous. One proposed remedy is to shift focus to some degree onto 'what is meant by a proof', and other such questions of method.

If mathematics has been informally used throughout history, in numerous cultures and continents, then it could be argued that "mathematical practice" is the practice, or use, of mathematics in everyday life.  One definition of mathematical practice, as described above, is the "working practices of professional mathematicians".  However, another definition, more in keeping with the predominant usage of mathematics, is that mathematical practice is the everyday practice, or use, of math.  Whether one is estimating the total cost of their groceries, calculating miles per gallon, or figuring out how many minutes on the treadmill that chocolate éclair will require, math in everyday life relies on practicality (i.e., does it answer the question?) rather than formal proof.