How Humans Learn to Think Mathematically. Exploring the Three Worlds of Mathematics

@article{Hersh2015HowHL,
title={How Humans Learn to Think Mathematically. Exploring the Three Worlds of Mathematics},
author={Reuben Hersh},
journal={The American Mathematical Monthly},
year={2015},
volume={122},
pages={292-296}
}

The first glimpse of my new granddaughter turned my thoughts to what could be going through her mind. Just hours before finishing David Tall's How Humans Learn to Think Mathematically she came through my daughter's birth canal. Although she had been hearing sounds for some time, she sees daylight for the first time. To her, the world starts with a blank slate. At least we think it does. Is she wondering what this new light is all about? But what is the biochemical mechanism of wonder? How could… CONTINUE READING