Constructing Number

Constructing Number PDF Author: Anderson Norton
Publisher: Springer
ISBN: 3030004910
Category : Education
Languages : en
Pages : 377

Get Book Here

Book Description
The book synergizes research on number across two disciplines—mathematics education and psychology. The underlying problem the book addresses is how the brain constructs number. The opening chapter frames the problem in terms of children’s activity, including mental and physical actions. Subsequent chapters are organized into sections that address specific domains of number: natural numbers, fractions, and integers. Chapters within each section address ways that children build upon biological primitives (e.g., subitizing) and prior constructs (e.g., counting sequences) to construct number. The book relies on co-authored chapters and commentaries at the end of each section to create dialogue between junior faculty and senior researchers, as well as between psychologists and mathematics educators. The final chapter brings this work together around the framework of children’s activity and additional themes that arise in the collective work. The book is aimed to appeal to mathematics educators, mathematics teacher educators, mathematics education researchers, educational psychologists, cognitive psychologists, and developmental psychologists.

Constructing Number

Constructing Number PDF Author: Anderson Norton
Publisher: Springer
ISBN: 3030004910
Category : Education
Languages : en
Pages : 377

Get Book Here

Book Description
The book synergizes research on number across two disciplines—mathematics education and psychology. The underlying problem the book addresses is how the brain constructs number. The opening chapter frames the problem in terms of children’s activity, including mental and physical actions. Subsequent chapters are organized into sections that address specific domains of number: natural numbers, fractions, and integers. Chapters within each section address ways that children build upon biological primitives (e.g., subitizing) and prior constructs (e.g., counting sequences) to construct number. The book relies on co-authored chapters and commentaries at the end of each section to create dialogue between junior faculty and senior researchers, as well as between psychologists and mathematics educators. The final chapter brings this work together around the framework of children’s activity and additional themes that arise in the collective work. The book is aimed to appeal to mathematics educators, mathematics teacher educators, mathematics education researchers, educational psychologists, cognitive psychologists, and developmental psychologists.

Number and Time

Number and Time PDF Author: Marie-Louise Von Franz
Publisher: Northwestern University Press
ISBN: 9780810105324
Category : Fiction
Languages : en
Pages : 348

Get Book Here

Book Description
C. G. Jung's work in his later years suggested that the seemingly divergent sciences of psychology and modern physics might, in fact, be approaching a unified world model in which the dualism of matter and psyche would be resolved. Jung believed that the natural integers are the archetypal patterns that regulate the unitary realm of psyche and matter, and that number serves as a special instrument for man's becoming conscious of this unity. Writen in a clear style and replete with illustrations which help make the mathematical ideas visible, Number and Time is a piece of original scholarship which introduces a view of how "mind" connects with "matter" at the most fundamental level.

The Number Sense

The Number Sense PDF Author: Stanislas Dehaene
Publisher: OUP USA
ISBN: 0199753873
Category : Mathematics
Languages : en
Pages : 339

Get Book Here

Book Description
"Our understanding of how the human brain performs mathematical calculations is far from complete. In The Number Sense, Stanislas Dehaene offers readers an enlightening exploration of the mathematical mind. Using research showing that human infants have a rudimentary number sense, Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. But how then did we leap from this basic number ability to trigonometry, calculus, and beyond? Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. Tracing the history of numbers, we learn that in early times, people indicated numbers by pointing to part of their bodies, and how Roman numerals were replaced by modern numbers. On the way, we also discover many fascinating facts: for example, because Chinese names for numbers are short, Chinese people can remember up to nine or ten digits at a time, while English-speaking people can only remember seven. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how math can open up a window on the human mind"--Provided by publisher.

The Psychology of Cultural Experience

The Psychology of Cultural Experience PDF Author: Carmella C. Moore
Publisher: Cambridge University Press
ISBN: 9780521005524
Category : Psychology
Languages : en
Pages : 272

Get Book Here

Book Description
This volume, first published in 2001, presents research in psychological anthropology, including person-centred ethnography, activity theory, and cultural schema theory.

The Psychology of Money

The Psychology of Money PDF Author: Morgan Housel
Publisher: Harriman House Limited
ISBN: 085719769X
Category : Business & Economics
Languages : en
Pages : 209

Get Book Here

Book Description
Doing well with money isn’t necessarily about what you know. It’s about how you behave. And behavior is hard to teach, even to really smart people. Money—investing, personal finance, and business decisions—is typically taught as a math-based field, where data and formulas tell us exactly what to do. But in the real world people don’t make financial decisions on a spreadsheet. They make them at the dinner table, or in a meeting room, where personal history, your own unique view of the world, ego, pride, marketing, and odd incentives are scrambled together. In The Psychology of Money, award-winning author Morgan Housel shares 19 short stories exploring the strange ways people think about money and teaches you how to make better sense of one of life’s most important topics.

Psychology Of Problem Solving, The: The Background To Successful Mathematics Thinking

Psychology Of Problem Solving, The: The Background To Successful Mathematics Thinking PDF Author: Alfred S Posamentier
Publisher: World Scientific
ISBN: 9811205728
Category : Mathematics
Languages : en
Pages : 168

Get Book Here

Book Description
The art or skill of problem solving in mathematics is mostly relegated to the strategies one can use to solve problems in the field. Although this book addresses that issue, it delves deeply into the psychological aspects that affect successful problem-solving. Such topics as decision-making, judgment, and reasoning as well as using memory effectively and a discussion of the thought processes that could help address certain problem-solving situations.Most books that address problem-solving and mathematics focus on the various skills. This book goes beyond that and investigates the psychological aspects to solving problems in mathematics.

The Psychology of Selling

The Psychology of Selling PDF Author: Brian Tracy
Publisher: Thomas Nelson Inc
ISBN: 0785288066
Category : Selling
Languages : en
Pages : 240

Get Book Here

Book Description
Double and triple your sales--in any market. The purpose of this book is to give you a series of ideas, methods, strategies, and techniques that you can use immediately to make more sales, faster and easier than ever before. It's a promise of prosperity that sales guru Brian Tracy has seen fulfilled again and again. More sales people have become millionaires as a result of listening to and applying his ideas than from any other sales training process ever developed.

The Psychology Book

The Psychology Book PDF Author: DK
Publisher: Penguin
ISBN: 1465439293
Category : Psychology
Languages : en
Pages : 723

Get Book Here

Book Description
Learn about human nature, behavior and how the mind works with The Psychology Book. Part of the fascinating Big Ideas series, this book tackles tricky topics and themes in a simple and easy to follow format. Learn about Psychology in this overview guide to the subject, great for beginners looking to learn and experts wishing to refresh their knowledge alike! The Psychology Book brings a fresh and vibrant take on the topic through eye-catching graphics and diagrams to immerse yourself in. This captivating book will broaden your understanding of Psychology, with: - More than 100 ground-breaking ideas in this field of science - Packed with facts, charts, timelines and graphs to help explain core concepts - A visual approach to big subjects with striking illustrations and graphics throughout - Easy to follow text makes topics accessible for people at any level of understanding The Psychology Book is the perfect introduction to the science, aimed at adults with an interest in the subject and students wanting to gain more of an overview. Here you’ll discover key concepts by psychologists who have significantly enhanced our understanding of the human mind and behavior. Learn about everyone who’s contributed to the big ideas in psychology, incorporating the ideas of today’s scientists as well those of the ancient philosophers and pioneers. Your Psychology Questions, Simply Explained If you thought it was difficult to learn psychology and its many concepts, The Psychology Book presents the key ideas in a clear layout. Learn about the key personalities of the 19th and 20th centuries whose work has made significant contributions to our understanding of human behavior. Fantastic mind maps and step-by-step summaries explain the line of thought clearly for students of psychology and for anyone with a general interest in understanding the human mind. The Big Ideas Series With millions of copies sold worldwide, The Psychology Book is part of the award-winning Big Ideas series from DK. The series uses striking graphics along with engaging writing, making big topics easy to understand.

The Psychology of Mathematics

The Psychology of Mathematics PDF Author: Anderson Norton
Publisher: Routledge
ISBN: 1000547019
Category : Education
Languages : en
Pages : 238

Get Book Here

Book 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.

Struck by Genius

Struck by Genius PDF Author: Jason Padgett
Publisher: HMH
ISBN: 0544045645
Category : Biography & Autobiography
Languages : en
Pages : 268

Get Book Here

Book Description
From head trauma to scientific wonder—a “deeply absorbing . . . fascinating” true story of acquired savant syndrome (Entertainment Weekly). Twelve years ago, Jason Padgett had never made it past pre-algebra. But a violent mugging forever altered the way his brain worked. It turned an ordinary math-averse student into an extraordinary young man with a unique gift to see the world as no one else does: water pours from the faucet in crystalline patterns, numbers call to mind distinct geometric shapes, and intricate fractal patterns emerge from the movement of tree branches, revealing the intrinsic mathematical designs hidden in the objects around us. As his ability to understand physics skyrocketed, the “accidental genius” developed the astonishing ability to draw the complex geometric shapes he saw everywhere. Overcoming huge setbacks and embracing his new mind, Padgett “gained a vision of the world that is as beautiful as it is challenging.” Along the way he fell in love, found joy in numbers, and spent plenty of time having his head examined (The New York Times Book Review). Illustrated with Jason’s stunning, mathematically precise artwork, his singular story reveals the wondrous potential of the human brain, and “an incredible phenomenon which points toward dormant potential—a little Rain Man perhaps—within us all” (Darold A. Treffert, MD, author of Islands of Genius: The Bountiful Mind of the Autistic, Acquired, and Sudden Savant). “A tale worthy of Ripley’s Believe It or Not! . . . This memoir sends a hopeful message to families touched by brain injury, autism, or neurological damage from strokes.” —Booklist “How extraordinary it is to contemplate the bizarre gifts that might lie within all of us.” —People