Abstract
In earlier chapters we have shown you how beginners may be encouraged to “make mathematics” themselves. Here we distinguish between “doing mathematics,” which usually means “doing somebody else’s mathematics,” and “making mathematics,” by which we understand “making one’s own mathematics,” that is, noticing mathematical patterns, making conjectures, constructing one’s own proofs—or at least fully grasping somebody else’s—and considering the possibility of formulating valuable generalizations.
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Hilton, P., Holton, D., Pedersen, J. (1997). Pascal, Euler,Triangles,Windmills,.... In: Mathematical Reflections. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1932-3_6
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DOI: https://doi.org/10.1007/978-1-4612-1932-3_6
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