國立高雄大學圖資館 |

Language: English

Back

Constructing numbermerging perspecti...

Alibali, Martha W.

Constructing numbermerging perspectives from psychology and mathematics education /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Constructing numberedited by Anderson Norton, Martha W. Alibali.
Reminder of title:	merging perspectives from psychology and mathematics education /
other author:	Norton, Anderson.
Published:	Cham :Springer International Publishing :2019.
Description:	xxi, 370 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	MathematicsPsychological aspects.
Online resource:	https://doi.org/10.1007/978-3-030-00491-0
ISBN:	9783030004910$q(electronic bk.)

Constructing numbermerging perspectives from psychology and mathematics education /
Constructing numbermerging perspectives from psychology and mathematics education /[electronic resource] :edited by Anderson Norton, Martha W. Alibali. - Cham :Springer International Publishing :2019. - xxi, 370 p. :ill., digital ;24 cm. - Research in mathematics education,2570-4729. - Research in mathematics education..

Mathematics in Action -- Subitizing: The Neglected Quantifier -- Discerning a Progression in Conceptions of Magnitude During Children's Construction of Number -- Spontaneous mathematical focusing tendencies in mathematical development and education -- Leveraging Relational Learning Mechanisms to Improve Understanding of Place Value -- The complexity of basic number processing: A commentary from a neurocognitive perspective -- Understanding Fractions: Integrating Results from Mathematics Education, Cognitive Psychology, and Neuroscience -- Developing Fractions as Multiplicative Relations: A Model of Cognitive Reorganization -- Developing a Concept of Multiplication of Fractions: Building on Constructivist and Sociocultural Theory -- What's Perception got to do with it? Re-framing Foundations for Rational Number Concepts -- Commentary on Fractions -- Understanding Negative Numbers -- Integers as Directed Quantities -- Cognitive Science Foundations of Integer Understanding and Instruction -- Commentary on Negative Numbers: Aspects of Epistemology, Cognition, and Instruction -- Commentary on Negative Numbers: Aspects of Epistemology, Cognition, and Instruction -- Author index -- Subject index.

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.

ISBN: 9783030004910$q(electronic bk.)

Standard No.: 10.1007/978-3-030-00491-0doiSubjects--Topical Terms:

340777
Mathematics
--Psychological aspects.

LC Class. No.: QA8.4 / .C66 2019

Dewey Class. No.: 510.19

Constructing numbermerging perspectives from psychology and mathematics education /
LDR:03460nmm a2200349 a 4500 001 555450
003 DE-He213
005 20190702110348.0
006 m d
007 cr nn 008maaau
008 191121s2019 gw s 0 eng d
020 $a 9783030004910$q(electronic bk.)
020 $a 9783030004903$q(paper)
024 7 $a 10.1007/978-3-030-00491-0 $2 doi
035 $a 978-3-030-00491-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA8.4 $b .C66 2019
072 7 $a JNU $2 bicssc
072 7 $a EDU029010 $2 bisacsh
072 7 $a JNU $2 thema
072 7 $a PB $2 thema
082 0 4 $a 510.19 $2 23
090 $a QA8.4 $b .C758 2019
245 0 0 $a Constructing number $h [electronic resource] : $b merging perspectives from psychology and mathematics education / $c edited by Anderson Norton, Martha W. Alibali.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xxi, 370 p. : $b ill., digital ; $c 24 cm.
490 1 $a Research in mathematics education, $x 2570-4729
505 0 $a Mathematics in Action -- Subitizing: The Neglected Quantifier -- Discerning a Progression in Conceptions of Magnitude During Children's Construction of Number -- Spontaneous mathematical focusing tendencies in mathematical development and education -- Leveraging Relational Learning Mechanisms to Improve Understanding of Place Value -- The complexity of basic number processing: A commentary from a neurocognitive perspective -- Understanding Fractions: Integrating Results from Mathematics Education, Cognitive Psychology, and Neuroscience -- Developing Fractions as Multiplicative Relations: A Model of Cognitive Reorganization -- Developing a Concept of Multiplication of Fractions: Building on Constructivist and Sociocultural Theory -- What's Perception got to do with it? Re-framing Foundations for Rational Number Concepts -- Commentary on Fractions -- Understanding Negative Numbers -- Integers as Directed Quantities -- Cognitive Science Foundations of Integer Understanding and Instruction -- Commentary on Negative Numbers: Aspects of Epistemology, Cognition, and Instruction -- Commentary on Negative Numbers: Aspects of Epistemology, Cognition, and Instruction -- Author index -- Subject index.
520 $a 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.
650 0 $a Mathematics $x Psychological aspects. $3 340777
650 1 4 $a Mathematics Education. $3 274700
650 2 4 $a Developmental Psychology. $3 275080
650 2 4 $a Educational Psychology. $3 348569
700 1 $a Norton, Anderson. $3 837573
700 1 $a Alibali, Martha W. $3 837574
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Research in mathematics education. $3 681563
856 4 0 $u https://doi.org/10.1007/978-3-030-00491-0
950 $a Education (Springer-41171)