عنوان

Interdisciplinary perspectives on math cognition /

(Number (ISBN

3030225372

(Number (ISBN

9783030225377

Erroneous ISBN

9783030225360

Title Proper

Interdisciplinary perspectives on math cognition /

General Material Designation

[Book]

First Statement of Responsibility

Marcel Danesi, editor.

Place of Publication, Distribution, etc.

Cham :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2019.

Specific Material Designation and Extent of Item

1 online resource (343 pages)

Series Title

Mathematics in mind,

ISSN of Series

2522-5413

Text of Note

Psychological and Pedagogical Aspects

Text of Note

Includes bibliographical references.

Text of Note

Intro; Preface; Contents; Chapter 1: From Biological Brain to Mathematical Mind: The Long-Term Evolution of Mathematical Thinking; Introduction; Differing Conceptions of Mathematics and a Multi-Contextual Overview; The Biological Brain; How the Brain Makes Sense of Spatial Information and Number; How the Eyes Read Text and Symbolic Expressions; How the Brain Interprets Spoken and Aural Symbolic Expressions; Flexible Use of Symbolism Dually Representing Process or Concept; Making Sense of Mathematical Expressions Dually Representing Operation or Object; Equations

Text of Note

Building a New Framework for Long Term of MathematicsExtending the Framework; How the Brain Makes Sense of More Sophisticated Mathematics; How the Eye Follows a Moving Object, Giving Meaning to Constants and Variables; How Dynamic Movement Can Represent Infinitesimals as Process and Concept; How the Eye Reads Through a Written Proof to Make It Meaningful; The Role of the Limbic System in Enhancing and Inhibiting Mathematical Thinking; Strategies for Enhancing Long-Term Mathematical Thinking; Moving to the Future in Different Communities of Practice; Reflections; References

Text of Note

Chapter 2: Compression and Decompression in Mathematics1References; Chapter 3: How Technology Has Changed What It Means to Think Mathematically; Early Mathematics; The Growth of Mathematics; The Nineteenth-Century Mathematical Revolution; Mathematics in the Digital Age; Experimental Mathematics; Mathematics Education; The Symbol Barrier; References; Chapter 4: Machine Versus Structure of Language via Statistical Universals; Introduction; Statistical Universals Underlying Human Language; Layers of Universals; Mathematical Reasoning on Statistical Universals

Text of Note

Number as RankNumber as Amount; Number as Reification; Revising the Maps; And So ...?; References; Chapter 6: The Body of/in Proof: An Embodied Analysis of Mathematical Reasoning; Mathematical Proof and Logical Deduction; How Is Proof Conceptualized?; Evidence from Emerging Mathematicians; Metaphors for Proof; Evidence from Gesture; Conceptual Roots of Logical Deduction; Cognitive Continuity in Conditionals; Discussion and Conclusions; References; Chapter 7: Math Puzzles as Learning Devices; Introduction; Puzzles, Problems, and Games; The Aha, Gotcha, and Eureka Effects; Objectives of ERM

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8

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8

Text of Note

This is an anthology of contemporary studies from various disciplinary perspectives written by some of the world's most renowned experts in each of the areas of mathematics, neuroscience, psychology, linguistics, semiotics, education, and more. Its purpose is not to add merely to the accumulation of studies, but to show that math cognition is best approached from various disciplinary angles, with the goal of broadening the general understanding of mathematical cognition through the different theoretical threads that can be woven into an overall understanding. This volume will be of interest to mathematicians, cognitive scientists, educators of mathematics, philosophers of mathematics, semioticians, psychologists, linguists, anthropologists, and all other kinds of scholars who are interested in the nature, origin, and development of mathematical cognition.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030225377

Title

Interdisciplinary Perspectives on Math Cognition.

International Standard Book Number

9783030225360

Cognitive psychology.

Mathematical ability.

Mathematics-- Study and teaching-- Psychological aspects.

Cognitive psychology.

Mathematical ability.

Mathematics-- Study and teaching-- Psychological aspects.

MAT003000

PBWH

PBWH

Number

Edition

Class number

Danesi, Marcel,1946-

Date of Transaction

20200823092455.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y