|
" Interdisciplinary perspectives on math cognition / "
Marcel Danesi, editor.
| Document Type
|
:
|
BL
|
| Record Number
|
:
|
862429
|
| Title & Author
|
:
|
Interdisciplinary perspectives on math cognition /\ Marcel Danesi, editor.
|
| Publication Statement
|
:
|
Cham :: Springer,, 2019.
|
| Series Statement
|
:
|
Mathematics in mind,
|
| Page. NO
|
:
|
1 online resource (343 pages)
|
| ISBN
|
:
|
3030225372
|
|
|
:
|
: 9783030225377
|
|
|
:
|
9783030225360
|
| Notes
|
:
|
Psychological and Pedagogical Aspects
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references.
|
| Contents
|
:
|
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
|
|
|
:
|
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
|
|
|
:
|
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
|
|
|
:
|
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
|
| Abstract
|
:
|
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.
|
| Subject
|
:
|
Cognitive psychology.
|
| Subject
|
:
|
Mathematical ability.
|
| Subject
|
:
|
Mathematics-- Study and teaching-- Psychological aspects.
|
| Subject
|
:
|
Cognitive psychology.
|
| Subject
|
:
|
Mathematical ability.
|
| Subject
|
:
|
Mathematics-- Study and teaching-- Psychological aspects.
|
| Dewey Classification
|
:
|
510.71
|
| LC Classification
|
:
|
QA11.2
|
| Added Entry
|
:
|
Danesi, Marcel,1946-
|
| |