UID:
almafu_9960074052202883
Umfang:
1 online resource (401 p.)
Ausgabe:
First edition
ISBN:
0-12-800888-1
Serie:
Mathematical Cognition and Learning ; Volume 1
Inhalt:
The first volume in this ground-breaking series focuses on the origins and early development of numerical cognition in non-human primates, lower vertebrates, human infants, and preschool children. The text will help readers understand the nature and complexity of these foundational quantitative concepts and skills along with evolutionary precursors and early developmental trajectories. Brings together and focuses the efforts and research of multiple disciplines working in math cognition.The contributors bring vast knowledge and experience to bear on resolving extant substantive and methodolo
Anmerkung:
Description based upon print version of record
,
Front Cover; Evolutionary Origins and Early Development of Number Processing; Copyright; Contents; Contributors; Foreword; References; Preface; Part I: Number and Magnitude in Non-Human Animals; Chapter 1: At the Root of Math: Numerical Abilities in Fish; Introduction; Overview; Problems and Methods of Study; Methodologies Adopted; Spontaneous Choice Tests; Training Procedure; Number vs. Continuous Quantities: Is Number More Cognitively Demanding?; One or Multiple Systems of Numerical Representation?; Ontogeny of Numerical Abilities
,
Similarities in Numerical Abilities among Fish and between Fish and Other VertebratesConclusions and Future Directions; Acknowledgments; References; Chapter 2: Foundations of Number and Space Representations in Non-Human Species; Introduction; Core Knowledge of Objects; Core Knowledge of Number; Core Knowledge of Geometry; Conclusions; Acknowledgments; References; Chapter 3: Numerical Concepts: Grey Parrot Capacities; Introduction; Alex's Non-numerical Capacities; Alex's Early Numerical Abilities; Training and Testing Methods; Labeling of Basic Quantities and Simple Heterogeneous Sets
,
Complex Heterogeneous SetsAlex's More Advanced Numerical Abilities; Number Comprehension; Use of ``None ́ ́; Addition of Small Quantities; Ordinality and Equivalence; An Exact Integer System; The Final Study; Conclusions; Acknowledgments; References; Chapter 4: Numerical Cognition and Quantitative Abilities in Nonhuman Primates; Introduction; The Question of Animal Counting; Relative Quantity Judgments; Ordinality Judgments; Quantity Illusions; Mechanisms for Representing Quantity and Number; Conclusions; Acknowledgments; References; Part II: Number and Magnitude in Infants and Young Children
,
Chapter 5: Evolutionary and Developmental Continuities in Numerical CognitionIntroduction; Cross-Species Comparisons; Numerical Representations in Infancy; Malleability; Causal Relation Between ANS Acuity and Mathematics; Applications; Conclusion; References; Chapter 6: On the Relation between Numerical and Non-Numerical Magnitudes: Evidence for a General Magnitude System; Introduction; Analog Format for Number and Other Magnitudes; A General Magnitude System: Three Types of Supporting Evidence; Cross-Magnitude Interactions
,
Correlations in Precision of Numerical and Non-Numerical RepresentationsTraining and Transfer; Potential Neural Mechanisms; Do Mathematical Concepts Have a Basis in Nonsymbolic Magnitudes?; Conclusions; Acknowledgments; References; Chapter 7: Foundations of the Formal Number Concept: How Preverbal Mechanisms Contribute to the Development of Cardinal Kn ...; Introduction; Two Core Mechanisms for Representing Number; System 1: Analog Magnitude System (ANS); System 2: Object Tracking System (OTS); ``Number Concept ́ ́ Defined; Does the ANS and/or OTS Measure Up?; Abstract Representations
,
Cardinality
,
English
Weitere Ausg.:
ISBN 0-12-420133-4
Sprache:
Englisch
Bookmarklink
