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  1. Semiotics in the head: Thinking about and thinking through symbols.Wade Munroe - 2023 - Philosophy and Phenomenological Research 107 (2):413-438.
    Our conscious thought, at least at times, seems suffused with language. We may experience thinking as if we were “talking in our head”, thus using inner speech to verbalize, e.g., our premises, lemmas, and conclusions. I take inner speech to be part of a larger phenomenon I call inner semiotics, where inner semiotics involves the subjective experience of expressions in a semiotic (or symbol) system absent the overt articulation of the expressions. In this paper, I argue that inner semiotics allows (...)
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  • Perceiving fingers in single-digit arithmetic problems.Ilaria Berteletti & James R. Booth - 2015 - Frontiers in Psychology 6.
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  • Developmental dyscalculia and basic numerical capacities: a study of 8–9-year-old students.Karin Landerl, Anna Bevan & Brian Butterworth - 2004 - Cognition 93 (2):99-125.
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  • Nature and culture of finger counting: Diversity and representational effects of an embodied cognitive tool.Andrea Bender & Sieghard Beller - 2012 - Cognition 124 (2):156-182.
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  • Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs non-symbolic number magnitude processing.Laurence Rousselle & Marie-Pascale Noël - 2007 - Cognition 102 (3):361-395.
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  • Rationality, Reasoning Well, and Extramental Props.Wade Munroe - 2019 - Res Philosophica 96 (2):175-198.
    Recently, a cottage industry has formed with the expressed intent of analyzing the nature of personal-level reasoning and inference. The dominant position in the extant philosophical literature is that reasoning consists in rule-governed operations over propositional attitudes. In addition, it is widely assumed that our attitude updating procedures are purely cognitive. Any non-cognitive activity performed in service of updating our attitudes is external to the updating process—at least in terms of rational evaluation. In this paper, I argue that whether one (...)
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  • A hand full of numbers: a role for offloading in arithmetics learning?Annelise Júlio Annelise - 2011 - Frontiers in Psychology 2.
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  • General and Specific Contributions of RAN to Reading and Arithmetic Fluency in First Graders: A Longitudinal Latent Variable Approach.Caroline Hornung, Romain Martin & Michel Fayol - 2017 - Frontiers in Psychology 8.
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  • Visual experience influences the interactions between fingers and numbers.Virginie Crollen, Marie-Pascale NoëL, Xavier Seron, Pierre Mahau, Franco Lepore & Olivier Collignon - 2014 - Cognition 133 (1):91-96.
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  • Effect of Finger Gnosis on Young Chinese Children’s Addition Skills.Li Zhang, Wei Wang & Xiao Zhang - 2020 - Frontiers in Psychology 11.
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  • Gesture as a window onto children’s number knowledge.Elizabeth A. Gunderson, Elizabet Spaepen, Dominic Gibson, Susan Goldin-Meadow & Susan C. Levine - 2015 - Cognition 144 (C):14-28.
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  • Nature or Nurture in Finger Counting: A Review on the Determinants of the Direction of Number?Finger Mapping.Paola Previtali, Luca Rinaldi & Luisa Girelli - 2011 - Frontiers in Psychology 2.
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  • (23 other versions)計算時における指の利用と算数・数学能力との関連. 杉村伸一郎 & 山名裕子 - 2006 - Cognition 68:B63 - B70.
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  • Let us redeploy attention to sensorimotor experience.Nicolas Michaux, Mauro Pesenti, Arnaud Badets, Samuel Di Luca & Michael Andres - 2010 - Behavioral and Brain Sciences 33 (4):283-284.
    With his massive redeployment hypothesis (MRH), Anderson claims that novel cognitive functions are likely to rely on pre-existing circuits already possessing suitable resources. Here, we put forward recent findings from studies in numerical cognition in order to show that the role of sensorimotor experience in the ontogenetical development of a new function has been largely underestimated in Anderson's proposal.
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  • Putting a Finger on Numerical Development – Reviewing the Contributions of Kindergarten Finger Gnosis and Fine Motor Skills to Numerical Abilities.Roberta Barrocas, Stephanie Roesch, Caterina Gawrilow & Korbinian Moeller - 2020 - Frontiers in Psychology 11.
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  • The Force of Numbers: Investigating Manual Signatures of Embodied Number Processing.Alex Miklashevsky, Oliver Lindemann & Martin H. Fischer - 2021 - Frontiers in Human Neuroscience 14.
    The study has two objectives: to introduce grip force recording as a new technique for studying embodied numerical processing; and to demonstrate how three competing accounts of numerical magnitude representation can be tested by using this new technique: the Mental Number Line, A Theory of Magnitude and Embodied Cognition account. While 26 healthy adults processed visually presented single digits in a go/no-go n-back paradigm, their passive holding forces for two small sensors were recorded in both hands. Spontaneous and unconscious grip (...)
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  • From numerical concepts to concepts of number.Lance J. Rips, Amber Bloomfield & Jennifer Asmuth - 2008 - Behavioral and Brain Sciences 31 (6):623-642.
    Many experiments with infants suggest that they possess quantitative abilities, and many experimentalists believe that these abilities set the stage for later mathematics: natural numbers and arithmetic. However, the connection between these early and later skills is far from obvious. We evaluate two possible routes to mathematics and argue that neither is sufficient: (1) We first sketch what we think is the most likely model for infant abilities in this domain, and we examine proposals for extrapolating the natural number concept (...)
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  • Finger counting: The missing tool?Michael Andres, Samuel Di Luca & Mauro Pesenti - 2008 - Behavioral and Brain Sciences 31 (6):642-643.
    Rips et al. claim that the principles underlying the structure of natural numbers cannot be inferred from interactions with the physical world. However, in their target article they failed to consider an important source of interaction: finger counting. Here, we show that finger counting satisfies all the conditions required for allowing the concept of numbers to emerge from sensorimotor experience through a bottom-up process.
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  • The Effect of Cognitive Relevance of Directed Actions on Mathematical Reasoning.Candace Walkington, Mitchell J. Nathan, Min Wang & Kelsey Schenck - 2022 - Cognitive Science 46 (9):e13180.
    Theories of grounded and embodied cognition offer a range of accounts of how reasoning and body‐based processes are related to each other. To advance theories of grounded and embodied cognition, we explore the cognitive relevance of particular body states to associated math concepts. We test competing models of action‐cognition transduction to investigate the cognitive relevance of directed actions to students’ mathematical reasoning in the area of geometry. The hypotheses we test include (1) that cognitively relevant directed actions have a direct (...)
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  • A Finger-Based Numerical Training Failed to Improve Arithmetic Skills in Kindergarten Children Beyond Effects of an Active Non-numerical Control Training.Ulrike Schild, Anne Bauch & Hans-Christoph Nuerk - 2020 - Frontiers in Psychology 11.
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  • Five- to 7-Year-Olds? Finger Gnosia and Calculation Abilities.Robert Reeve & Judi Humberstone - 2011 - Frontiers in Psychology 2.
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  • Don't throw the baby out with the math water: Why discounting the developmental foundations of early numeracy is premature and unnecessary.Kevin Muldoon, Charlie Lewis & Norman Freeman - 2008 - Behavioral and Brain Sciences 31 (6):663-664.
    We see no grounds for insisting that, because the concept natural number is abstract, its foundations must be innate. It is possible to specify domain general learning processes that feed into more abstract concepts of numerical infinity. By neglecting the messiness of children's slow acquisition of arithmetical concepts, Rips et al. present an idealized, unnecessarily insular, view of number development.
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  • The role of fingers in number processing in young children.Anne Lafay, Catherine Thevenot, Caroline Castel & Michel Fayol - 2013 - Frontiers in Psychology 4.
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  • The foundations of numeracy: Subitizing, finger gnosia, and fine-motor ability.Marcie Penner-Wilger, Lisa Fast, J. LeFevre, Brenda L. Smith-Chant, S. Skwarchuk, Deepthi Kamawar & Jeffrey Bisanz - 2007 - In McNamara D. S. & Trafton J. G. (eds.), Proceedings of the 29th Annual Cognitive Science Society. Cognitive Science Society.
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