Where mathematics comes from : how the embodied mind brings mathematics into being

Keywords

Embodied cognition, Mathematics education, Mathematics, Epistemology, Philosophy

References

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• The Roles of Representation in School Mathematics: 2001 YearbookAlbert A. Cuoco, Frances R. Curcio — 2001
• Review of Philosophy in the flesh: the embodied mind and its challenge to western thought by George Lakoff and Mark Johnson. Basic Books 1999.John F. Sowa — 1999
• From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931Jean van Heijenoort — 1967
• Foundations of ScienceMaurice Crosland — 1970
• The evolution of syntactic communicationMartin A. Nowak, Joshua B. Plotkin, Vincent A. A. Jansen — 2000
• An experimental study of apparent behaviorFritz Heider, Marianne L. Simmel — 1944
• The Expression of the Emotions in Man and AnimalsCharles Darwin — 1956
• What is Mathematics, Really?R. Hersh — 1998
• Philosophy in the Flesh: The Embodied Mind and its Challenge to Western ThoughtJoseph E. Grady — 2002
• The psychology of invention in the mathematical field.Donald M. Johnson — 1945
• The prefontral cortex and cognitive controlEarl K. Miller — 2000
• The nature and role of intuition in mathematical epistemologyPaul Β. Thompson — 1998
• The perceived intentionality of groups.Paul Bloom, Csaba Veres — 1999
• The Language of ThoughtJerry A. Fodor — 1975
• 100 great problems of elementary mathematics : their history and solutionHeinrich Dörrie, David Antin — 1966
• Semantics and CognitionSteven E. Boër, Ray Jackendoff — 1991
• Adaptive Thinking: Rationality in the Real WorldGerd Gigerenzer — 2000
• The math gene: How mathematical thinking evolved and why numbers are like gossipMarion Cohen, Keith Devlin — 2002
• Foundations of LanguageZellig S. Harris, Donald C. Swanson — 1940

Cited by

• Survey of Students’ Academic Achievement and Mathematics Identity-FormationOlaoye Adetunji Abiola — 2014
• Performance Mathematics And DemocracySusan Gerofsky, Image Valerie Triggs — 2010
• An Examination of the Relationship between High School Mathematics Teachers' Dispositions and Their Metaphors for TeachingLorrie Ogle Bearden — 2012
• Therapeutic metaphors in engineering: how to cure a building structureRoldán Riejos, Ana María — 2012
• Theoretical Foundations for Practical 'Totally Functional Programming'Colin Kemp — 2007
• Thinking about quantity: the intertwined development of spatial and numerical cognition.reni sitatun — 2015
• Schülervorstellungen zu unendlichen Prozessen – Die metaphorische Deutung des Grenzwerts als Ergebnis eines unendlichen ProzessesAndréas Marx — 2013
• Grouping Gestures Promote Children's Effective Counting Strategies by Adding a Layer of Meaning through ActionAzadeh Jamalian — 2014
• Loss of vision: How mathematics turned blind while it learned to see more clearlyBernd Buldt, Dirk Schlimm — 2010
• Relationship between visual perceptual skill and mathematic abilityLynn Shirley Freeguard — 2014
• The Study of Taiwanese Students' Experiences with Geometric Calculation with Number (GCN) and Their Performance on GCN and Geometric Proof (GP).Hui‐Yu Hsu — 2010
• Mathematics learner profiling using behavioral, physiological and self-reporting methodsOsman Çimen — 2013
• Quality, comfort, and ease: Remapping the affordances of Russian language in Tbilisi, GeorgiaPerry Sherouse — 2014
• Agents negotiating in a semantic web architecture (SWA)Gil Iranzo, Rosa María — 2005
• The relation between space and math: developmental and educational implications.Kelly S. Mix, Yi-Ling Cheng — 2012
• Using dynamic geometry to explore linear algebra concepts: the emergence of mobile, visual thinkingShiva Gol Tabaghi — 2012
• Mathematics networks and curriculum conceptsGeoff Woolcott — 2013
• Performing Oneself Differently: A Mathemaesthethician's Responsibility (1)Steven Khan — 2010
• A Conversation-Gesture Approach to Recognising Mathematical Understanding in Group Problem Solving (Teaching from the Sidelines)Kevin John Wells — 2014
• Dynamic construals, static formalisms: Evidence from co-speech gesture during mathematical provingTyler Marghetis, Rafael Núñez — 2010

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