This book offers an innovative introduction to the psychological basis
of mathematics and the nature of mathematical thinking and learning,
using an approach that empowers students by fostering their own
construction of mathematical structures.
Through accessible and engaging writing, award-winning mathematician and
educator Anderson Norton reframes mathematics as something that exists
first in the minds of students, rather than something that exists
first in a textbook. By exploring the psychological basis for
mathematics at every level-including geometry, algebra, calculus,
complex analysis, and more-Norton unlocks students' personal power to
construct mathematical objects based on their own mental activity and
illustrates the power of mathematics in organizing the world as we know
it.
Including reflections and activities designed to inspire awareness of
the mental actions and processes coordinated in practicing mathematics,
the book is geared toward current and future secondary and elementary
mathematics teachers who will empower the next generation of
mathematicians and STEM majors. Those interested in the history and
philosophy that underpins mathematics will also benefit from this book,
as well as those informed and curious minds attentive to the human
experience more generally.