The psychology of mathematics : a journey of personal mathematical empowerment for educators and curious minds / Anderson Norton.

Format:

Book

Author/Creator:

Norton, Anderson, author.

Language:

English

Subjects (All):

Mathematics--Philosophy.

Mathematics.

Mathematics--Psychological aspects.

Mathematics--Study and teaching.

Knowledge, Theory of.

epistemology.

Physical Description:

xvii, 219 pages : illustrations (black and white) ; 24 cm

Place of Publication:

New York : Routledge, Taylor & Francis Group, 2022.

Summary:

"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 towards 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 co-author of Developing Fractions Knowledge and Numeracy for All Learners"-- Provided by publisher.

Contents:

Machine generated contents note: ch. 1 What Is Number?

ch. 2 Reflections Upon Reflections

ch. 3 Getting With the Program

ch. 4 New Actions, New Units, New Numbers

ch. 5 Creating, Transforming, and Obliterating Area

ch. 6 The Power of Symbols

ch. 7 Seeing Angles From a Different Angle

ch. 8 The Geometry of Numbers

ch. 9 What Doesn't Vary as Variables Covary?

ch. 10 What's So Special About Special Triangles?

ch. 11 Calculus the Old-Fashioned Way

ch. 12 The Wonderful Gift of Mathematics.

Notes:

Includes bibliographical references and index.

Other Format:

ebook version :

ISBN:

9781032020716

1032020717

9781032020693

1032020695

OCLC:

1268360735