The Psychology of Number and Its Applications to Methods of Teaching Arithmetic

The Psychology of Number and Its Applications to Methods of Teaching Arithmetic

Author: James Alexander McLellan

Publisher:

Published: 1895

Total Pages: 356

ISBN-13:

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Book Synopsis The Psychology of Number and Its Applications to Methods of Teaching Arithmetic by : James Alexander McLellan

Download or read book The Psychology of Number and Its Applications to Methods of Teaching Arithmetic written by James Alexander McLellan and published by . This book was released on 1895 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Constructing Number

Constructing Number

Author: Anderson Norton

Publisher: Springer

Published: 2018-12-17

Total Pages: 377

ISBN-13: 3030004910

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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.


Book Synopsis Constructing Number by : Anderson Norton

Download or read book Constructing Number written by Anderson Norton and published by Springer. This book was released on 2018-12-17 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author: Marie-Louise Von Franz

Publisher: Northwestern University Press

Published: 1974

Total Pages: 348

ISBN-13: 9780810105324

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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.


Book Synopsis Number and Time by : Marie-Louise Von Franz

Download or read book Number and Time written by Marie-Louise Von Franz and published by Northwestern University Press. This book was released on 1974 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Psychology of Number and Its Applications to Methods of Teaching Arithmetic

The Psychology of Number and Its Applications to Methods of Teaching Arithmetic

Author: James Alexander McLellan

Publisher:

Published: 1895

Total Pages: 376

ISBN-13:

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Book Synopsis The Psychology of Number and Its Applications to Methods of Teaching Arithmetic by : James Alexander McLellan

Download or read book The Psychology of Number and Its Applications to Methods of Teaching Arithmetic written by James Alexander McLellan and published by . This book was released on 1895 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:


The Number Sense

The Number Sense

Author: Stanislas Dehaene

Publisher: Oxford University Press

Published: 2011-04-29

Total Pages: 352

ISBN-13: 019987705X

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Our understanding of how the human brain performs mathematical calculations is far from complete, but in recent years there have been many exciting breakthroughs by scientists all over the world. Now, in The Number Sense, Stanislas Dehaene offers a fascinating look at this recent research, in an enlightening exploration of the mathematical mind. Dehaene begins with the eye-opening discovery that animals--including rats, pigeons, raccoons, and chimpanzees--can perform simple mathematical calculations, and that human infants also have a rudimentary number sense. Dehaene suggests that this rudimentary number sense is as basic to the way the brain understands the world as our perception of color or of objects in space, and, like these other abilities, our number sense is wired into the brain. These are but a few of the wealth of fascinating observations contained here. We also discover, for example, that because Chinese names for numbers are so short, Chinese people can remember up to nine or ten digits at a time--English-speaking people can only remember seven. The book also explores the unique abilities of idiot savants and mathematical geniuses, and we meet people whose minute brain lesions render their mathematical ability useless. This new and completely updated edition includes all of the most recent scientific data on how numbers are encoded by single neurons, and which brain areas activate when we perform calculations. Perhaps most important, The Number Sense reaches many provocative conclusions that will intrigue anyone interested in learning, mathematics, or the mind. "A delight." --Ian Stewart, New Scientist "Read The Number Sense for its rich insights into matters as varying as the cuneiform depiction of numbers, why Jean Piaget's theory of stages in infant learning is wrong, and to discover the brain regions involved in the number sense." --The New York Times Book Review "Dehaene weaves the latest technical research into a remarkably lucid and engrossing investigation. Even readers normally indifferent to mathematics will find themselves marveling at the wonder of minds making numbers." --Booklist


Book Synopsis The Number Sense by : Stanislas Dehaene

Download or read book The Number Sense written by Stanislas Dehaene and published by Oxford University Press. This book was released on 2011-04-29 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of how the human brain performs mathematical calculations is far from complete, but in recent years there have been many exciting breakthroughs by scientists all over the world. Now, in The Number Sense, Stanislas Dehaene offers a fascinating look at this recent research, in an enlightening exploration of the mathematical mind. Dehaene begins with the eye-opening discovery that animals--including rats, pigeons, raccoons, and chimpanzees--can perform simple mathematical calculations, and that human infants also have a rudimentary number sense. Dehaene suggests that this rudimentary number sense is as basic to the way the brain understands the world as our perception of color or of objects in space, and, like these other abilities, our number sense is wired into the brain. These are but a few of the wealth of fascinating observations contained here. We also discover, for example, that because Chinese names for numbers are so short, Chinese people can remember up to nine or ten digits at a time--English-speaking people can only remember seven. The book also explores the unique abilities of idiot savants and mathematical geniuses, and we meet people whose minute brain lesions render their mathematical ability useless. This new and completely updated edition includes all of the most recent scientific data on how numbers are encoded by single neurons, and which brain areas activate when we perform calculations. Perhaps most important, The Number Sense reaches many provocative conclusions that will intrigue anyone interested in learning, mathematics, or the mind. "A delight." --Ian Stewart, New Scientist "Read The Number Sense for its rich insights into matters as varying as the cuneiform depiction of numbers, why Jean Piaget's theory of stages in infant learning is wrong, and to discover the brain regions involved in the number sense." --The New York Times Book Review "Dehaene weaves the latest technical research into a remarkably lucid and engrossing investigation. Even readers normally indifferent to mathematics will find themselves marveling at the wonder of minds making numbers." --Booklist


The Psychology of Selling

The Psychology of Selling

Author: Brian Tracy

Publisher: Thomas Nelson Inc

Published: 2006-06-20

Total Pages: 240

ISBN-13: 0785288066

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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.


Book Synopsis The Psychology of Selling by : Brian Tracy

Download or read book The Psychology of Selling written by Brian Tracy and published by Thomas Nelson Inc. This book was released on 2006-06-20 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 of Number and Its Applications to Methods of Teaching Arithmetic

The Psychology of Number and Its Applications to Methods of Teaching Arithmetic

Author: James A. McLellan

Publisher: Forgotten Books

Published: 2015-06-26

Total Pages: 340

ISBN-13: 9781330408520

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Excerpt from The Psychology of Number and Its Applications to Methods of Teaching Arithmetic In presenting this book on the Psychology of dumber it is believed that a special want is supplied. There is no subject taught in the elementary schools that taxes the teacher's resources as to methods and devices to a greater extent than arithmetic. There is no subject taught that is more dangerous to the pupil in the way of deadening his mind and arresting its development, if bad methods are used. The mechanical side of training must be joined to the intellectual in such a form as to prevent the fixing of the mind in thoughtless habits. While the mere processes become mechanical, the mind should by ever-deepening insight continually increase its power to grasp details in more extensive combinations. Methods must be chosen and justified, if they can be justified at all, on psychological grounds. The concept of number will at first be grasped by the pupil imperfectly. He will see some phases of it and neglect others. Later on he will arrive at operations which demand a view of all that number implies. Each and every number is an implied ratio, but it does not express the ratio as simple number. The German language is fortunate in having terms that express the two aspects of numerical quantity. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.


Book Synopsis The Psychology of Number and Its Applications to Methods of Teaching Arithmetic by : James A. McLellan

Download or read book The Psychology of Number and Its Applications to Methods of Teaching Arithmetic written by James A. McLellan and published by Forgotten Books. This book was released on 2015-06-26 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Psychology of Number and Its Applications to Methods of Teaching Arithmetic In presenting this book on the Psychology of dumber it is believed that a special want is supplied. There is no subject taught in the elementary schools that taxes the teacher's resources as to methods and devices to a greater extent than arithmetic. There is no subject taught that is more dangerous to the pupil in the way of deadening his mind and arresting its development, if bad methods are used. The mechanical side of training must be joined to the intellectual in such a form as to prevent the fixing of the mind in thoughtless habits. While the mere processes become mechanical, the mind should by ever-deepening insight continually increase its power to grasp details in more extensive combinations. Methods must be chosen and justified, if they can be justified at all, on psychological grounds. The concept of number will at first be grasped by the pupil imperfectly. He will see some phases of it and neglect others. Later on he will arrive at operations which demand a view of all that number implies. Each and every number is an implied ratio, but it does not express the ratio as simple number. The German language is fortunate in having terms that express the two aspects of numerical quantity. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.


The Psychology of Number and Its Applications to Methods of Teaching Arithmetic

The Psychology of Number and Its Applications to Methods of Teaching Arithmetic

Author: James Alexander McLellan

Publisher: Legare Street Press

Published: 2023-07-18

Total Pages: 0

ISBN-13: 9781019387382

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The Psychology of Number and Its Applications to Methods of Teaching Arithmetic is a groundbreaking work in the field of mathematics education. Written by J. A. (James Alexander) McLellan and John Dewey, two leading figures in the field of education psychology, this book offers a new approach to the teaching of arithmetic, based on the principles of child psychology and the latest research in the field. The book provides a clear and practical guide to teaching arithmetic in a way that is engaging, effective, and enjoyable for students. A must-read for anyone interested in the psychology of learning or the history of education. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.


Book Synopsis The Psychology of Number and Its Applications to Methods of Teaching Arithmetic by : James Alexander McLellan

Download or read book The Psychology of Number and Its Applications to Methods of Teaching Arithmetic written by James Alexander McLellan and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Psychology of Number and Its Applications to Methods of Teaching Arithmetic is a groundbreaking work in the field of mathematics education. Written by J. A. (James Alexander) McLellan and John Dewey, two leading figures in the field of education psychology, this book offers a new approach to the teaching of arithmetic, based on the principles of child psychology and the latest research in the field. The book provides a clear and practical guide to teaching arithmetic in a way that is engaging, effective, and enjoyable for students. A must-read for anyone interested in the psychology of learning or the history of education. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.


The Psychology of Money

The Psychology of Money

Author: Morgan Housel

Publisher: Harriman House Limited

Published: 2020-09-08

Total Pages: 209

ISBN-13: 085719769X

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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.


Book Synopsis The Psychology of Money by : Morgan Housel

Download or read book The Psychology of Money written by Morgan Housel and published by Harriman House Limited. This book was released on 2020-09-08 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Space, Time and Number in the Brain

Space, Time and Number in the Brain

Author: Elizabeth Brannon

Publisher: Academic Press

Published: 2011-05-31

Total Pages: 375

ISBN-13: 0123859484

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The study of mathematical cognition and the ways in which the ideas of space, time and number are encoded in brain circuitry has become a fundamental issue for neuroscience. How such encoding differs across cultures and educational level is of further interest in education and neuropsychology. This rapidly expanding field of research is overdue for an interdisciplinary volume such as this, which deals with the neurological and psychological foundations of human numeric capacity. A uniquely integrative work, this volume provides a much needed compilation of primary source material to researchers from basic neuroscience, psychology, developmental science, neuroimaging, neuropsychology and theoretical biology. The first comprehensive and authoritative volume dealing with neurological and psychological foundations of mathematical cognition Uniquely integrative volume at the frontier of a rapidly expanding interdisciplinary field Features outstanding and truly international scholarship, with chapters written by leading experts in a variety of fields


Book Synopsis Space, Time and Number in the Brain by : Elizabeth Brannon

Download or read book Space, Time and Number in the Brain written by Elizabeth Brannon and published by Academic Press. This book was released on 2011-05-31 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of mathematical cognition and the ways in which the ideas of space, time and number are encoded in brain circuitry has become a fundamental issue for neuroscience. How such encoding differs across cultures and educational level is of further interest in education and neuropsychology. This rapidly expanding field of research is overdue for an interdisciplinary volume such as this, which deals with the neurological and psychological foundations of human numeric capacity. A uniquely integrative work, this volume provides a much needed compilation of primary source material to researchers from basic neuroscience, psychology, developmental science, neuroimaging, neuropsychology and theoretical biology. The first comprehensive and authoritative volume dealing with neurological and psychological foundations of mathematical cognition Uniquely integrative volume at the frontier of a rapidly expanding interdisciplinary field Features outstanding and truly international scholarship, with chapters written by leading experts in a variety of fields