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It is one of the great mysteries why nature seems to know mathematics.
Economists have a mystique among social scientists because they know mathematics.
As we know, mathematics is an abstract tool that is used to solve real problems.
In this context, Plato's Academy was fertile ground for controversy concerning how we are to know mathematics (the sorts of principles, the nature of proofs, etc).
In addition, Toluk-Uçar (2009) emphasized that problem posing has a positive effect on understanding fractions as well as on learners' views about what it means to know mathematics.
A consequence of this orientation for them is that discussions about what teachers of mathematics know cannot be divorced from the ways in which they know mathematics: 'It is not just a question of what teachers know, but how they know it, how they are aware of it, how they use it and how they exemplify it'.
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He had spent five fruitless years looking for someone who knew mathematics to take on a project involving traits like high blood pressure that were associated with multiple genes.
John von Neumann's 1932 book, The Mathematical Foundations of Quantum Mechanics, says no: The orthodox interpretation of quantum mechanics requires the observer's "ego" to enter into the unfolding of reality in a way that lies outside and beyond the known mathematics.
Still, this is an excellent starting place for someone who wants to know what mathematics is about.The Moment of Proof: Mathematical Epiphanies.By Donald C.Benson.Oxford University Press; 342 pages; $30 and £24.95THE classical case of mathematical epiphany is Archimedes.
Papert, who was born in South Africa in 1928, had received his Ph.D. in mathematics at the University of Witwatersrand in 1952, and then, deciding that he still didn't know enough mathematics, had gone to Cambridge University and taken a second Ph.D. in the subject.
— The language of nature, we know, is mathematics.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com