ENGLISH

The Psychology of Mathematics: A Journey of Personal Mathematical Empowerment for Educators and Curious Minds

By Anderson Norton

Book information

Publisher
Routledge
Year
2022
ISBN
1032020695, 9781032020693
Language
english
Format
PDF
Filesize
7 MB (7625849 bytes)
Pages
237\239
Topic
Psychology
Time added
2022-11-10 00:29:05

Description

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. Cover Half Title Title Copyright Dedication Contents List of Figures List of Tables About the Author Acknowledgments Introduction Mathematical Empowerment Chapter 1 What Is Number? Chapter 2 Reflections Upon Reflections Chapter 3 Getting With the Program Chapter 4 New Actions, New Units, New Numbers Chapter 5 Creating, Transforming, and Obliterating Area Chapter 6 The Power of Symbols Chapter 7 Seeing Angles From a Different Angle Chapter 8 The Geometry of Numbers Chapter 9 What Doesn’t Vary as Variables Covary? Chapter 10 What’s So Special About Special Triangles? Chapter 11 Calculus the Old-Fashioned Way Chapter 12 The Wonderful Gift of Mathematics Index

Similar books

Session C11: Ancient Cultural Landscapes in South Europe – their Ecological Setting and Evolution, Session C22: Gardeners from South America, Session S04: Agro-Pastoralism and Early Metallurgy Sessions, Session WS29: The Idea of Enclosure in Recent Iberian Prehistory, Session C88: Rhytmes et causalites des dynamiques de l'anthropisation en Europe entre 6500 ET 500 BC: Hypotheses socio-culturelles et/ou climatiques: Proceedings of the XV UISPP World Congress (Lisbon 4-9 September 2006) / Actes du XV Congrès Mondial (Lisbonne 4-9 Septembre 2006) Vol.36

Session C11: Ancient Cultural Landscapes in South Europe – their Ecological Setting and Evolution, Session C22: Gardeners from South America, Session S04: Agro-Pastoralism and Early Metallurgy Sessions, Session WS29: The Idea of Enclosure in Recent Iberian Prehistory, Session C88: Rhytmes et causalites des dynamiques de l'anthropisation en Europe entre 6500 ET 500 BC: Hypotheses socio-culturelles et/ou climatiques: Proceedings of the XV UISPP World Congress (Lisbon 4-9 September 2006) / Actes du XV Congrès Mondial (Lisbonne 4-9 Septembre 2006) Vol.36

2010 · PDF

THE BRITISH ARMY IN INDIA: ITS PRESERVATION BY AN APPROPRIATE CLOTHING, HOUSING, LOCATING, RECREATIVE EMPLOYMENT, AND HOPEFUL ENCOURAGEMENT OF THE TROOPS. with AN APPENDIX ON INDIA : THE CLIMATE OP ITS HILLS ; THE DEVELOPMENT OF ITS RESODRCBS, INDUSTRY, AND ARTS ; THE ADMINISTRATION OF JUSTICE ; THE BLACK ACT ; THE PROGRESS OF CHRISTIANITY ; THE TRAFFIC IN OPIUM ; THE VALUE OF INDIA ; PERMANENT CAUSES OF DISAFFECTION, AND OF THE RECENT REBELLION ; THE TRADITIONARY POLICY; MISGOVERNMENT BY NATIVE RULERS ; ANNEXATIONS OF THEIR TERRITORY, ETC.

THE BRITISH ARMY IN INDIA: ITS PRESERVATION BY AN APPROPRIATE CLOTHING, HOUSING, LOCATING, RECREATIVE EMPLOYMENT, AND HOPEFUL ENCOURAGEMENT OF THE TROOPS. with AN APPENDIX ON INDIA : THE CLIMATE OP ITS HILLS ; THE DEVELOPMENT OF ITS RESODRCBS, INDUSTRY, AND ARTS ; THE ADMINISTRATION OF JUSTICE ; THE BLACK ACT ; THE PROGRESS OF CHRISTIANITY ; THE TRAFFIC IN OPIUM ; THE VALUE OF INDIA ; PERMANENT CAUSES OF DISAFFECTION, AND OF THE RECENT REBELLION ; THE TRADITIONARY POLICY; MISGOVERNMENT BY NATIVE RULERS ; ANNEXATIONS OF THEIR TERRITORY, ETC.

1858 · PDF

Idries Shah 27 Books Collection : A Perfumed Scorpion, A Veiled Gazelle, Caravan of Dreams, Darkest England, Destination Mecca, Evenings with Idries Shah, Knowing How to Know, Learning How to Learn, Letters and Lectures of Idries Shah, Neglected aspects of Sufi study, Observations, Oriental Magic, Reflections, Seeker after Truth, Special Illumination, Special Problems in the study of Sufi ideas, Sufi thought and action, Tales of the Dervishes, The Dermis Probe, The Elephant in the Dark, The Englishman Handbook, Idries Shah Antology, The Magic Monastery, The natives are restless, wisdom of the Idiots PDF.

Idries Shah 27 Books Collection : A Perfumed Scorpion, A Veiled Gazelle, Caravan of Dreams, Darkest England, Destination Mecca, Evenings with Idries Shah, Knowing How to Know, Learning How to Learn, Letters and Lectures of Idries Shah, Neglected aspects of Sufi study, Observations, Oriental Magic, Reflections, Seeker after Truth, Special Illumination, Special Problems in the study of Sufi ideas, Sufi thought and action, Tales of the Dervishes, The Dermis Probe, The Elephant in the Dark, The Englishman Handbook, Idries Shah Antology, The Magic Monastery, The natives are restless, wisdom of the Idiots PDF.

2022 · PDF