Handbook of Cognitive Mathematics

Edited by Marcel Danesi ()

in Springer Books from Springer

Date: 2022
ISBN: 978-3-031-03945-4
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Chapters in this book:

Ch 1 The Cognitive and Epistemic Value of Mathematics: Making the World Intelligible – The Role of Abduction, Diagrams, and Affordances

Lorenzo Magnani

Ch 2 Peirce and Grothendieck on Mathematical Cognition: A Merging of the Pragmaticist Maxim and Topos Theory

Fernando Zalamea

Ch 3 Linguistic and Visuospatial Chunking as Quantitative Constraints on Propositional Logic

Donna E. West

Ch 4 Blending Theory and Mathematical Cognition

Marcel Danesi

Ch 5 Ethnomathematics and Cultural Identity to Promote Culturally Responsive Pedagogical Choices for Teachers in Early Childhood and Elementary Education

Sandra Wildfeuer

Ch 6 Bundles of Ethnomathematical Expertise Residing with Handicrafts, Occupations, and Other Activities Across Cultures

Veronica Albanese

Ch 7 Emic, Etic, Dialogic, and Linguistic Perspectives on Ethnomodeling

Milton Rosa and Daniel Clark Orey

Ch 8 Ethnomathematics in Education: The Need for Cultural Symmetry

Tamsin Meaney, Tony Trinick and Piata Allen

Ch 9 Ethnomathematics Affirmed Through Cognitive Mathematics and Academic Achievement: Quality Mathematics Teaching and Learning Benefits

Jenni L. Harding

Ch 10 Developmental Brain Dynamics: From Quantity Processing to Arithmetic

Stephan E. Vogel

Ch 11 Neurocognitive Foundations of Fraction Processing

Silke M. Wortha, Andreas Obersteiner and Thomas Dresler

Ch 12 Individual Differences in Mathematical Abilities and Competencies

Sara Caviola, Irene C. Mammarella and Denes Szűcs

Ch 13 Mind, Brain, and Math Anxiety

Rachel Pizzie

Ch 14 Neurocognitive Interventions to Foster Mathematical Learning

Karin Kucian and Roi Cohen Kadosh

Ch 15 The Neurobiological Basis of Numerical Cognition: Decision-Making Processes as a New Line of Inquiry

Lital Daches Cohen and Orly Rubinsten

Ch 16 Trusting Your Own Eyes: Visual Constructions, Proofs, and Fallacies in Mathematics

Margo Kondratieva

Ch 17 Numerical Abilities in Nonhumans: The Perspective of Comparative Studies

Rosa Rugani and Lucia Regolin

Ch 18 Executive Dysfunction Among Children with ADHD: Contributions to Deficits in Mathematics

Lauren M. Friedman, Gabrielle Fabrikant-Abzug, Sarah A. Orban and Samuel J. Eckrich

Ch 19 The Challenge of Formal Logics and Metaphysical Systems to Semiotics

Eero Tarasti

Ch 20 Cultural Symmetry: From Group Theory to Semiotics

Jamin Pelkey

Ch 21 Fractals, Narrative, and Cognition

Richard Rosenbaum

Ch 22 Visage Mathematics: Semiotic Ideologies of Facial Measurement and Calculus

Massimo Leone

Ch 23 The Roles of Intelligence and Creativity for Learning Mathematics

Michaela A. Meier and Roland H. Grabner

Ch 24 Gestures in Mathematics Thinking and Learning

Ornella Robutti, Cristina Sabena, Christina Krause, Carlotta Soldano and Ferdinando Arzarello

Ch 25 Teaching and Learning Authentic Mathematics: The Case of Proving

Andreas J. Stylianides, Kotaro Komatsu, Keith Weber and Gabriel J. Stylianides

Ch 26 Why Are Learning and Teaching Mathematics So Difficult?

Alan H. Schoenfeld

Ch 27 Computing in Mathematics Education: Past, Present, and Future

G. Gadanidis, S. L. Javaroni, S. C. Santos and E. C. Silva

Ch 28 Computer Algebra Systems and Dynamic Geometry for Mathematical Thinking

Jhony Alexander Villa-Ochoa and Liliana Suárez-Téllez

Ch 29 Student Collaboration in Blending Digital Technology in the Learning of Mathematics

Johann Engelbrecht and Greg Oates

Ch 30 Multimodality, Systemic Functional-Multimodal Discourse Analysis and Production of Videos in Mathematics Education

Marcelo C. Borba, Kay L. O’Halloran and Liliane Xavier Neves

Ch 31 STEAM and Critical Making in Teacher Education

Immaculate Kizito Namukasa, Janette Hughes and Ricardo Scucuglia

Ch 32 Memory Consolidation: Neural Data Analysis and Mathematical Modeling

Masami Tatsuno and Michael Eckert

Ch 33 Mathematical Linguistics and Cognitive Complexity

Aniello De Santo and Jonathan Rawski

Ch 34 Quantifying Context With and Without Statistical Language Models

Cassandra L. Jacobs

Ch 35 Cognitive Models of Poetry Reading

Rodolfo Delmonte

Ch 36 Cognition and Computational Linguistic Creativity

Lorenzo Gatti, Oliviero Stock and Carlo Strapparava

Ch 37 Understanding Dialogue for Human Communication

Bernardo Magnini and Samuel Louvan

Ch 38 Peirce on Abduction and Diagrams in Mathematical Reasoning

Joseph W. Dauben, Gary J. Richmond and Jon Alan Schmidt

Ch 39 Pragmaticism as a Philosophy of Cognitive Mathematics

Ahti-Veikko Pietarinen

Ch 40 Diagrammatic Mathematics

Louis H. Kauffman

Ch 41 Peirce on Mathematical Reasoning and Discovery

Ahti-Veikko Pietarinen

Ch 42 Knowing by Drawing: Mathematics as Gesture

Giovanni Maddalena

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DOI: 10.1007/978-3-031-03945-4

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