Grounding (fairly) complex numerical knowledge: an educational example

[1]  A. Glenberg Embodiment and learning of abstract concepts (such as algebraic topology and regression to the mean) , 2021, Psychological Research.

[2]  Mitchell J. Nathan,et al.  Foundations of embodied learning: a paradigm for education , 2021, Educational Philosophy and Theory.

[3]  D. Casasanto,et al.  The correlations in experience principle: How culture shapes concepts of time and number. , 2020, Journal of experimental psychology. General.

[4]  K. Moeller,et al.  Putting a Finger on Numerical Development – Reviewing the Contributions of Kindergarten Finger Gnosis and Fine Motor Skills to Numerical Abilities , 2020, Frontiers in Psychology.

[5]  M. H. Fischer,et al.  Stimulating numbers: signatures of finger counting in numerosity processing , 2020, Psychological research.

[6]  Korbinian Moeller,et al.  Embodied numerical representations and their association with multi-digit arithmetic performance , 2019, Cognitive Processing.

[7]  G. Buccino,et al.  The concreteness of abstract language: an ancient issue and a new perspective , 2019, Brain Structure and Function.

[8]  M. H. Fischer,et al.  Incidental Counting: Speeded Number Naming Through Finger Movements , 2018, Journal of cognition.

[9]  S. Gallagher,et al.  The Oxford Handbook of 4E Cognition , 2018 .

[10]  Mina Johnson-Glenberg,et al.  Immersive VR and Education: Embodied Design Principles That Include Gesture and Hand Controls , 2018, Front. Robot. AI.

[11]  E. Hubbard,et al.  On the genesis of spatial-numerical associations: Evolutionary and cultural factors co-construct the mental number line , 2018, Neuroscience & Biobehavioral Reviews.

[12]  M. H. Fischer,et al.  Number concepts: abstract and embodied , 2018, Philosophical Transactions of the Royal Society B: Biological Sciences.

[13]  Sharlene D. Newman,et al.  You Can Count on Your Fingers: The Role of Fingers in Early Mathematical Development , 2018, J. Numer. Cogn..

[14]  Stanislas Dehaene,et al.  Cortical circuits for mathematical knowledge: evidence for a major subdivision within the brain's semantic networks , 2018, Philosophical Transactions of the Royal Society B: Biological Sciences.

[15]  Mitchell J. Nathan,et al.  Making “concreteness fading” more concrete as a theory of instruction for promoting transfer , 2018 .

[16]  Jaclynn V. Sullivan,et al.  Learning and Embodied Cognition: A Review and Proposal , 2018 .

[17]  F. Pulvermüller,et al.  Abstract semantics in the motor system? – An event-related fMRI study on passive reading of semantic word categories carrying abstract emotional and mental meaning , 2017, Cortex.

[18]  Oliver Lindemann,et al.  Finger posing primes number comprehension , 2017, Cognitive Processing.

[19]  Mitchell J. Nathan,et al.  Grounded and embodied mathematical cognition: Promoting mathematical insight and proof using action and language , 2017, Cognitive research: principles and implications.

[20]  F. Binkofski,et al.  The challenge of abstract concepts. , 2017, Psychological bulletin.

[21]  J. Binder In defense of abstract conceptual representations , 2016, Psychonomic Bulletin & Review.

[22]  Yuri Ostrovsky,et al.  Rapid Integration of Tactile and Visual Information by a Newly Sighted Child , 2016, Current Biology.

[23]  Stanislas Dehaene,et al.  Origins of the brain networks for advanced mathematics in expert mathematicians , 2016, Proceedings of the National Academy of Sciences.

[24]  Bodo Winter,et al.  Mental number space in three dimensions , 2015, Neuroscience & Biobehavioral Reviews.

[25]  Samuel Shaki,et al.  Spatial Associations in Numerical Cognition—From Single Digits to Arithmetic , 2014, Quarterly journal of experimental psychology.

[26]  Christoph Scheepers,et al.  TEST: A Tropic, Embodied, and Situated Theory of Cognition , 2014, Top. Cogn. Sci..

[27]  Anna M. Borghi,et al.  Words as Social Tools: An Embodied View on Abstract Concepts , 2014 .

[28]  Robert L. Goldstone,et al.  Concreteness Fading in Mathematics and Science Instruction: a Systematic Review , 2014 .

[29]  Janet Metcalfe,et al.  From the Revolution to Embodiment , 2013, Perspectives on psychological science : a journal of the Association for Psychological Science.

[30]  Michael J. Spivey,et al.  Computational Grounded Cognition: a new alliance between grounded cognition and computational modeling , 2013, Front. Psychology.

[31]  M. Alibali,et al.  Gesture's role in speaking, learning, and creating language. , 2013, Annual review of psychology.

[32]  Emily R. Fyfe,et al.  “Concreteness fading” promotes transfer of mathematical knowledge , 2012 .

[33]  M. Zorzi,et al.  When time is space: Evidence for a mental time line , 2012, Neuroscience & Biobehavioral Reviews.

[34]  Martin H. Fischer,et al.  A hierarchical view of grounded, embodied, and situated numerical cognition , 2012, Cognitive Processing.

[35]  Kensy Cooperrider,et al.  Contours of time: Topographic construals of past, present, and future in the Yupno valley of Papua New Guinea , 2012, Cognition.

[36]  Mitchell J. Nathan,et al.  Embodiment in Mathematics Teaching and Learning: Evidence From Learners' and Teachers' Gestures , 2012 .

[37]  R. Reeve,et al.  Five- to 7-Year-Olds’ Finger Gnosia and Calculation Abilities , 2011, Front. Psychology.

[38]  D. Casasanto,et al.  Different Bodies, Different Minds , 2011 .

[39]  Mauro Pesenti,et al.  Finger Numeral Representations: More than Just Another Symbolic Code , 2011, Front. Psychology.

[40]  Martin H. Fischer,et al.  When Digits Help Digits: Spatial–Numerical Associations Point to Finger Counting as Prime Example of Embodied Cognition , 2011, Front. Psychology.

[41]  Frank Domahs,et al.  The Influence of Implicit Hand-Based Representations on Mental Arithmetic , 2011, Front. Psychology.

[42]  Oliver Lindemann,et al.  Finger Counting Habits in Middle Eastern and Western Individuals: An Online Survey , 2011 .

[43]  G. Vigliocco,et al.  The representation of abstract words: why emotion matters. , 2011, Journal of experimental psychology. General.

[44]  Angelo Cangelosi,et al.  The Mechanics of Embodiment: A Dialog on Embodiment and Computational Modeling , 2011, Front. Psychology.

[45]  Dedre Gentner,et al.  Bootstrapping the Mind: Analogical Processes and Symbol Systems , 2010, Cogn. Sci..

[46]  G. Rizzolatti,et al.  The functional role of the parieto-frontal mirror circuit: interpretations and misinterpretations , 2010, Nature Reviews Neuroscience.

[47]  D. Casasanto,et al.  of Experimental Psychology , 2022 .

[48]  Samuel Shaki,et al.  Reading habits for both words and numbers contribute to the SNARC effect , 2009, Psychonomic bulletin & review.

[49]  Chaitanya Ramineni,et al.  Development of number combination skill in the early school years: when do fingers help? , 2008, Developmental science.

[50]  Rolf A. Zwaan,et al.  Embodied Language: A Review of the Role of the Motor System in Language Comprehension , 2008, Quarterly journal of experimental psychology.

[51]  Vladimir M Sloutsky,et al.  The Advantage of Abstract Examples in Learning Math , 2008, Science.

[52]  Martin H. Fischer,et al.  Finger counting habits modulate spatial-numerical associations , 2008, Cortex.

[53]  Michael P. Kaschak,et al.  Body posture facilitates retrieval of autobiographical memories , 2007, Cognition.

[54]  A. Lillard,et al.  Evaluating Montessori Education , 2006, Science.

[55]  Robin L. Hill,et al.  Designing bar graphs : Orientation matters , 2005 .

[56]  M. Noël,et al.  Finger gnosia: a predictor of numerical abilities in children? , 2005, Child neuropsychology : a journal on normal and abnormal development in childhood and adolescence.

[57]  Robert L. Goldstone,et al.  The Transfer of Scientific Principles Using Concrete and Idealized Simulations , 2005, Journal of the Learning Sciences.

[58]  Michael P. Kaschak,et al.  Activity and Imagined Activity Can Enhance Young Children's Reading Comprehension. , 2004 .

[59]  G. Rizzolatti,et al.  The mirror-neuron system. , 2004, Annual review of neuroscience.

[60]  Margaret Wilson,et al.  Six views of embodied cognition , 2002, Psychonomic bulletin & review.

[61]  J. Stevenson The cultural origins of human cognition , 2001 .

[62]  L. Barsalou,et al.  Whither structured representation? , 1999, Behavioral and Brain Sciences.

[63]  Pierre Barrouillet,et al.  Predicting arithmetical achievement from neuro-psychological performance: a longitudinal study , 1998, Cognition.

[64]  Karen Wynn,et al.  Addition and subtraction by human infants , 1992, Nature.

[65]  Bennett I. Bertenthal,et al.  Early Experience and Emotional Development: The Emergence of Wariness of Heights , 1992 .

[66]  S. Harnad Symbol grounding problem , 1990, Scholarpedia.

[67]  A. Fernald Four-Month-Old Infants Prefer to Listen to Motherese" , 1985 .

[68]  G. Lakoff,et al.  Metaphors We Live by , 1982 .

[69]  John R. Searle,et al.  Minds, brains, and programs , 1980, Behavioral and Brain Sciences.

[70]  M. Ross Quillian,et al.  Retrieval time from semantic memory , 1969 .

[71]  J. Bruner,et al.  The growth of mind. , 1965, The American psychologist.

[72]  R. Held,et al.  MOVEMENT-PRODUCED STIMULATION IN THE DEVELOPMENT OF VISUALLY GUIDED BEHAVIOR. , 1963, Journal of comparative and physiological psychology.

[73]  Karin Schwab,et al.  Toward A Theory Of Instruction , 2016 .

[74]  D. McDermott LANGUAGE OF THOUGHT , 2012 .

[75]  L. Verschaffel,et al.  Abstract or concrete examples in learning mathematics? A replication and elaboration of Kaminski, Sloutsky, and Heckler’s study , 2011 .

[76]  L. Barsalou Grounded cognition. , 2008, Annual review of psychology.

[77]  D. Tall COGNITIVE AND SOCIAL DEVELOPMENT OF PROOF THROUGH EMBODIMENT , SYMBOLISM & FORMALISM , 2008 .

[78]  Bobby Ojose Applying Piaget's Theory of Cognitive Development to Mathematics Instruction. , 2008 .

[79]  D. Tall EMBODIMENT, SYMBOLISM, ARGUMENTATION AND PROOF , 2007 .

[80]  David Tall,et al.  EMBODIMENT, SYMBOLISM AND FORMALISM IN UNDERGRADUATE MATHEMATICS EDUCATION , 2007 .

[81]  D. Tall,et al.  A THEORY OF MATHEMATICAL GROWTH THROUGH EMBODIMENT, SYMBOLISM AND PROOF , 2006 .

[82]  G. Lakoff,et al.  Where Mathematics Comes From , 2000 .

[83]  D. Gentner,et al.  Reasoning and learning by analogy. , 1997, The American psychologist.

[84]  George Lakoff,et al.  Women, Fire, and Dangerous Things , 1987 .

[85]  Joseph N. Payne,et al.  National Council of Teachers of Mathematics , 1982 .