Psychology of Mathematics

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A01=Anderson Norton
Abstract Algebra
AOC
Arc Lengths
Author_Anderson Norton
BPA
Category=JMR
Category=JNLB
Category=JNLC
Category=JNU
Category=PB
Category=YPMF
Central Angle
cognitive development math
Composite Units
conceptual understanding numbers
constructivist mathematics
Counterclockwise
Double Angle Formulas
Emmy Noether
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_society-politics
Erlangen Program
Fermat Primes
geometry learning processes
Invariant Relationship
math teacher education
mathematical cognition
Mathematical Objects
Mathematical Power
mathematical thinking and learning
mental construction mathematical concepts
Multiplicative Inverse
Number System
Pascal's Theorem
Pascal’s Theorem
PME-NA
psychology of mathematics education
Pythagorean Theorem
Reflective Symmetry
secondary mathematics
Side Lengths
Special Triangles
symbolic reasoning skills
teaching mathematics
Unit Circle
Unit Fractions
Vertical Line Test
Vice Versa

Product details

  • ISBN 9781032020716
  • Weight: 453g
  • Dimensions: 152 x 229mm
  • Publication Date: 22 Mar 2022
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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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.

Anderson Norton is Professor in the Department of Mathematics at Virginia Tech, USA, where he has been teaching mathematics courses for future teachers for 15 years. He is the editor of Constructing Number and the coauthor of Developing Fractions Knowledge and Numeracy for All Learners.

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