Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/interdisciplinary-perspectives-on-math-cognition-epilogue-so-what-is-jnJWKtRq0G
References (48)
-
Dave Barker-Plummer, S. Bailin (2007)
The Role of Diagrams in Mathematical Proofs -
Z. Harris (1968)
Mathematical structures of language, 21
-
R. Lesh, G. Harel (2003)
Problem Solving, Modeling, and Local Conceptual DevelopmentMathematical Thinking and Learning, 5
-
Véronique Izard, Pierre Pica, E. Spelke, S. Dehaene (2011)
Flexible intuitions of Euclidean geometry in an Amazonian indigene groupProceedings of the National Academy of Sciences, 108
-
G. Fauconnier, Mark Turner (2002)
The Way We Think: Conceptual Blending and the Mind''s Hidden Complexities. Basic Books -
E. Hammer, Sun-Joo Shin (1998)
Euler’s visual logicHistory and Philosophy of Logic, 19
-
C. Hockett (1967)
Language, Mathematics and Linguistics -
G. Allwein, J. Barwise (1996)
Logical reasoning with diagrams -
R. Thom (1977)
Structural stability and morphogenesis - an outline of a general theory of models -
D. Parker, S. Langer (1941)
Philosophy in a New Key -
J. Glasgow, N. Narayanan, B. Chandrasekaran (1995)
Diagrammatic Reasoning: Cognitive and Computational Perspectives -
B. Butterworth (1999)
What Counts: How Every Brain is Hardwired for Math -
K. Devlin (2005)
The Math Instinct: Why You're a Mathematical Genius (Along with Lobsters, Birds, Cats, and Dogs) -
A. Ardila, M. Rosselli (2002)
Acalculia and DyscalculiaNeuropsychology Review, 12
-
R. Núñez, L. Edwards, João Matos (1999)
Embodied cognition as grounding for situatedness and context in mathematics educationEducational Studies in Mathematics, 39
-
M. Black (1962)
Models and metaphors -
R. Skemp (1979)
The psychology of learning mathematicsThe Mathematical Gazette, 10
-
Dave Barker-Plummer, S. Bailin (2002)
On the Practical Semantics of Mathematical Diagrams -
Mark Johnson (1987)
The body in the mind: the bodily basis of meaning -
R. Cummins (1996)
Representations, targets, and attitudes -
Z. Kulpa (2004)
On Diagrammatic Representation of Mathematical Knowledge -
M. Black (1962)
Models and metaphors : studies in language and philosophyPhilosophy and Phenomenological Research, 23
-
M. Danesi (2016)
Language and Mathematics: An Interdisciplinary Guide -
S. Dehaene, N. Molko, L. Cohen, Anna Wilson, John Gabrieli, Elisabeth Murray
Arithmetic and the Brain This Review Comes from a Themed Issue on Cognitive Neuroscience Edited the Intraparietal Sulcus and Number Sense Number Sense in the Animal Brain -
L. Kauffman (2001)
The mathematics of Charles Sanders PeirceCybern. Hum. Knowing, 8
-
Sun-Joo Shin (1995)
The logical status of diagrams -
E. Hammer (1994)
Reasoning with Sentences and DiagramsNotre Dame J. Formal Log., 35
-
R. Hersh, S. Dehaene (1998)
The Number Sense: How the Mind Creates Mathematics.American Mathematical Monthly, 105
-
G. Lakoff (1987)
Women, Fire, and Dangerous Things -
D. Roberts (2009)
The Existential Graphs of Charles S. Peirce -
K. Gödel (1931)
Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme IMonatshefte für Mathematik und Physik, 38
-
B. Butterworth, S. Varma, D. Laurillard (2011)
Dyscalculia: From Brain to EducationScience, 332
-
R. Ambrose (2002)
Are We Overemphasizing Manipulatives in the Primary Grades to the Detriment of GirlsTeaching children mathematics, 9
-
G. Lakoff, Mark Johnson (1999)
Philosophy in the flesh : the embodied mind and its challenge to Western thought -
Richard Taylor, A. Wiles (1995)
Ring-Theoretic Properties of Certain Hecke AlgebrasAnnals of Mathematics, 141
-
K. McComb, C. Packer, A. Pusey (1994)
Roaring and numerical assessment in contests between groups of female lions, Panthera leoAnimal Behaviour, 47
-
Anna Yancey (1989)
Children Must Learn to Draw Diagrams.The Arithmetic Teacher, 36
-
J. Godino, Vicenç Font, Miguel Wilhelmi, Orlando Lurduy (2011)
Why is the learning of elementary arithmetic concepts difficult? Semiotic tools for understanding the nature of mathematical objectsEducational Studies in Mathematics, 77
-
J. Wimp, K. Devlin (2002)
The math gene: How mathematical thinking evolved and why numbers are like gossipThe Mathematical Intelligencer, 24
-
G. Lakoff (1988)
Women, fire, and dangerous things : what categories reveal about the mindDialogue, 29
-
D. Roberts (1992)
The existential graphsComputers & Mathematics With Applications, 23
-
F. Stjernfelt (2007)
Diagrammatology: An Investigation on the Borderlines of Phenomenology, Ontology, and Semiotics -
G. Lakoff, R. Núñez (2002)
Where mathematics comes from : how the embodied mind brings mathematics into beingAmerican Mathematical Monthly, 109
-
L. Radford (2010)
Algebraic thinking from a cultural semiotic perspectiveResearch in Mathematics Education, 12
-
M. Cartmill, D. Pilbeam, G. Isaac (2016)
One Hundred Years of PaleoanthropologyAmerican Scientist, 74
-
S. Dehaene, M. Piazza, P. Pinel, L. Cohen (2003)
THREE PARIETAL CIRCUITS FOR NUMBER PROCESSINGCognitive Neuropsychology, 20
-
E. Isaacs, C. Edmonds, A. Lucas, D. Gadian (2001)
Calculation difficulties in children of very low birthweight: a neural correlate.Brain : a journal of neurology, 124 Pt 9
-
Gary Musser, W. Burger, Blake Peterson (1988)
Mathematics for Elementary Teachers: A Contemporary Approach
- Publisher
- Springer International Publishing
- Copyright
- © Springer Nature Switzerland AG 2019
- ISBN
- 978-3-030-22536-0
- Pages
- 333 –344
- DOI
- 10.1007/978-3-030-22537-7_20
- Publisher site
- See Chapter on Publisher Site
Abstract
[A key 2005 collection of papers (Royer 2008) showed how complex the study of mathematical cognition (MC) had become already in the early 2000s, incorporating a broad range of scientific, educational, and humanistic perspectives into its modus operandi. Studies published in the journal Mathematical Cognition have also revealed how truly expansive the field is, bringing together researchers and scholars from diverse disciplines, from neuroscience to semiotics. This volume has aimed to provide a contemporary snapshot of how the study of MC is developing. In this final chapter, the objective is to provide a selective overview of different approaches from the past as a concluding historical assessment.]
Published: Sep 15, 2019
Keywords: Math cognition; Existential graphs; Diagrams; Species-specificity; Language and math; Blending theory