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  1. The Enculturated Move From Proto-Arithmetic to Arithmetic.Markus Pantsar - 2019 - Frontiers in Psychology 10.
    The basic human ability to treat quantitative information can be divided into two parts. With proto-arithmetical ability, based on the core cognitive abilities for subitizing and estimation, numerosities can be treated in a limited and/or approximate manner. With arithmetical ability, numerosities are processed (counted, operated on) systematically in a discrete, linear, and unbounded manner. In this paper, I study the theory of enculturation as presented by Menary (2015) as a possible explanation of how we make the move from the proto-arithmetical (...)
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  • The Relationship Between Non-Symbolic and Symbolic Numerosity Representations in Elementary School: The Role of Intelligence.Tatiana Tikhomirova, Yulia Kuzmina, Irina Lysenkova & Sergey Malykh - 2019 - Frontiers in Psychology 10.
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  • Generative Processing Underlies the Mutual Enhancement of Arithmetic Fluency and Math-Grounding Number Sense.Ivilin P. Stoianov - 2014 - Frontiers in Psychology 5.
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  • Effects of Presentation Type and Visual Control in Numerosity Discrimination: Implications for Number Processing?Karolien Smets, Pieter Moors & Bert Reynvoet - 2016 - Frontiers in Psychology 7.
  • Innate or Acquired? – Disentangling Number Sense and Early Number Competencies.Julia Siemann & Franz Petermann - 2018 - Frontiers in Psychology 9.
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  • Aging and the Number Sense: Preserved Basic Non-Symbolic Numerical Processing and Enhanced Basic Symbolic Processing.Jade E. Norris, William J. McGeown, Chiara Guerrini & Julie Castronovo - 2015 - Frontiers in Psychology 6.
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  • Math Anxiety Mediates the Link Between Number Sense and Math Achievements in High Math Anxiety Young Adults.Paula Andrea Maldonado Moscoso, Giovanni Anobile, Caterina Primi & Roberto Arrighi - 2020 - Frontiers in Psychology 11.
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  • The Association Between Higher Education and Approximate Number System Acuity.Marcus Lindskog, Anders Winman & Peter Juslin - 2014 - Frontiers in Psychology 5.
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  • Effects of Visual Training of Approximate Number Sense on Auditory Number Sense and School Math Ability.Melissa E. Libertus, Darko Odic, Lisa Feigenson & Justin Halberda - 2020 - Frontiers in Psychology 11.
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  • Inhibitory Control May Not Explain the Link Between Approximation and Math Abilities in Kindergarteners From Middle Class Families.Leanne Keller & Melissa Libertus - 2015 - Frontiers in Psychology 6.
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  • Predicting First-Grade Mathematics Achievement: The Contributions of Domain-General Cognitive Abilities, Nonverbal Number Sense, and Early Number Competence.Caroline Hornung, Christine Schiltz, Martin Brunner & Romain Martin - 2014 - Frontiers in Psychology 5.
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  • Comparing Numerical Comparison Tasks: A Meta-Analysis of the Variability of the Weber Fraction Relative to the Generation Algorithm.Mathieu Guillaume & Amandine Van Rinsveld - 2018 - Frontiers in Psychology 9.
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  • Mental Images and School Learning: A Longitudinal Study on Children.Maria Guarnera, Monica Pellerone, Elena Commodari, Giusy D. Valenti & Stefania L. Buccheri - 2019 - Frontiers in Psychology 10.
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  • Using Hierarchical Linear Models to Examine Approximate Number System Acuity: The Role of Trial-Level and Participant-Level Characteristics.Emily J. Braham, Leanne Elliott & Melissa E. Libertus - 2018 - Frontiers in Psychology 9.
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  • Numerical Activities and Information Learned at Home Link to the Exact Numeracy Skills in 5–6 Years-Old Children.Silvia Benavides-Varela, Brian Butterworth, Francesca Burgio, Giorgio Arcara, Daniela Lucangeli & Carlo Semenza - 2016 - Frontiers in Psychology 7.
  • Asymmetric Activation Spreading in the Multiplication Associative Network Due to Asymmetric Overlap Between Numerosities Semantic Representations?Daniele Didino, André Knops, Francesco Vespignani & Suchada Kornpetpanee - 2015 - Cognition 141:1-8.
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  • Number Sense Biases Children's Area Judgments.Rachel C. Tomlinson, Nicholas K. DeWind & Elizabeth M. Brannon - 2020 - Cognition 204:104352.
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  • Brief Non-Symbolic, Approximate Number Practice Enhances Subsequent Exact Symbolic Arithmetic in Children.Daniel C. Hyde, Saeeda Khanum & Elizabeth S. Spelke - 2014 - Cognition 131 (1):92-107.
  • Thinking Materially: Cognition as Extended and Enacted.Karenleigh A. Overmann - 2017 - Journal of Cognition and Culture 17 (3-4):354-373.
    Human cognition is extended and enacted. Drawing the boundaries of cognition to include the resources and attributes of the body and materiality allows an examination of how these components interact with the brain as a system, especially over cultural and evolutionary spans of time. Literacy and numeracy provide examples of multigenerational, incremental change in both psychological functioning and material forms. Though we think materiality, its central role in human cognition is often unappreciated, for reasons that include conceptual distribution over multiple (...)
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  • An Empirically Feasible Approach to the Epistemology of Arithmetic.Markus Pantsar - 2014 - Synthese 191 (17):4201-4229.
    Recent years have seen an explosion of empirical data concerning arithmetical cognition. In this paper that data is taken to be philosophically important and an outline for an empirically feasible epistemological theory of arithmetic is presented. The epistemological theory is based on the empirically well-supported hypothesis that our arithmetical ability is built on a protoarithmetical ability to categorize observations in terms of quantities that we have already as infants and share with many nonhuman animals. It is argued here that arithmetical (...)
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