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  1. The Relationship of Reading Abilities With the Underlying Cognitive Skills of Math: A Dimensional Approach.Luca Bernabini, Paola Bonifacci & Peter F. de Jong - 2021 - Frontiers in Psychology 12.
    Math and reading are related, and math problems are often accompanied by problems in reading. In the present study, we used a dimensional approach and we aimed to assess the relationship of reading and math with the cognitive skills assumed to underlie the development of math. The sample included 97 children from 4th and 5th grades of a primary school. Children were administered measures of reading and math, non-verbal IQ, and various underlying cognitive abilities of math. We also included measures (...)
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  • Mathematical Cognition and Enculturation: Introduction to the Synthese Special Issue.Markus Pantsar - 2020 - Synthese 197 (9):3647-3655.
  • 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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  • An Extended Mind Perspective on Natural Number Representation.Helen De Cruz - 2008 - Philosophical Psychology 21 (4):475 – 490.
    Experimental studies indicate that nonhuman animals and infants represent numerosities above three or four approximately and that their mental number line is logarithmic rather than linear. In contrast, human children from most cultures gradually acquire the capacity to denote exact cardinal values. To explain this difference, I take an extended mind perspective, arguing that the distinctly human ability to use external representations as a complement for internal cognitive operations enables us to represent natural numbers. Reviewing neuroscientific, developmental, and anthropological evidence, (...)
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  • Where Our Number Concepts Come From.Susan Carey - 2009 - Journal of Philosophy 106 (4):220-254.
  • Situated Counting.Peter Gärdenfors & Paula Quinon - forthcoming - Review of Philosophy and Psychology:1-24.
    We present a model of how counting is learned based on the ability to perform a series of specific steps. The steps require conceptual knowledge of three components: numerosity as a property of collections; numerals; and one-to-one mappings between numerals and collections. We argue that establishing one-to-one mappings is the central feature of counting. In the literature, the so-called cardinality principle has been in focus when studying the development of counting. We submit that identifying the procedural ability to count with (...)
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  • The Evolution of Foresight: What is Mental Time Travel, and is It Unique to Humans?Thomas Suddendorf & Michael C. Corballis - 2007 - Behavioral and Brain Sciences 30 (3):299-313.
    In a dynamic world, mechanisms allowing prediction of future situations can provide a selective advantage. We suggest that memory systems differ in the degree of flexibility they offer for anticipatory behavior and put forward a corresponding taxonomy of prospection. The adaptive advantage of any memory system can only lie in what it contributes for future survival. The most flexible is episodic memory, which we suggest is part of a more general faculty of mental time travel that allows us not only (...)
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  • Why Theories of Concepts Should Not Ignore the Problem of Acquisition.Susan Carey - 2015 - Disputatio 7 (41):113-163.
    Why Theories of Concepts Should Not Ignore the Problem of Acquisition.
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  • Analogue Magnitude Representations: A Philosophical Introduction.Jacob Beck - 2015 - British Journal for the Philosophy of Science 66 (4):829-855.
    Empirical discussions of mental representation appeal to a wide variety of representational kinds. Some of these kinds, such as the sentential representations underlying language use and the pictorial representations of visual imagery, are thoroughly familiar to philosophers. Others have received almost no philosophical attention at all. Included in this latter category are analogue magnitude representations, which enable a wide range of organisms to primitively represent spatial, temporal, numerical, and related magnitudes. This article aims to introduce analogue magnitude representations to a (...)
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  • Independence of the Grossone-Based Infinity Methodology From Non-Standard Analysis and Comments Upon Logical Fallacies in Some Texts Asserting the Opposite.Yaroslav D. Sergeyev - 2019 - Foundations of Science 24 (1):153-170.
    This paper considers non-standard analysis and a recently introduced computational methodology based on the notion of ①. The latter approach was developed with the intention to allow one to work with infinities and infinitesimals numerically in a unique computational framework and in all the situations requiring these notions. Non-standard analysis is a classical purely symbolic technique that works with ultrafilters, external and internal sets, standard and non-standard numbers, etc. In its turn, the ①-based methodology does not use any of these (...)
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  • The Developmental Onset of Symbolic Approximation: Beyond Nonsymbolic Representations, the Language of Numbers Matters.Iro Xenidou-Dervou, Camilla Gilmore, Menno van der Schoot & Ernest C. D. M. van Lieshout - 2015 - Frontiers in Psychology 6.
  • The Role of ANS Acuity and Numeracy for the Calibration and the Coherence of Subjective Probability Judgments.Anders Winman, Peter Juslin, Marcus Lindskog, HÃ¥kan Nilsson & Neda Kerimi - 2014 - Frontiers in Psychology 5.
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  • Spatial Ability Explains the Male Advantage in Approximate Arithmetic.Wei Wei, Chuansheng Chen & Xinlin Zhou - 2016 - Frontiers in Psychology 7.
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  • The Use of Local and Global Ordering Strategies in Number Line Estimation in Early Childhood.Jaccoline E. Van ’T. Noordende, M. J. M. Volman, Paul P. M. Leseman, Korbinian Moeller, Tanja Dackermann & Evelyn H. Kroesbergen - 2018 - Frontiers in Psychology 9.
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  • The Relation Between Language and Arithmetic in Bilinguals: Insights From Different Stages of Language Acquisition.Amandine Van Rinsveld, Martin Brunner, Karin Landerl, Christine Schiltz & Sonja Ugen - 2015 - Frontiers in Psychology 6.
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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.
  • Spatial Complexity of Character-Based Writing Systems and Arithmetic in Primary School: A Longitudinal Study.Maja Rodic, Tatiana Tikhomirova, Tatiana Kolienko, Sergey Malykh, Olga Bogdanova, Dina Y. Zueva, Elena I. Gynku, Sirui Wan, Xinlin Zhou & Yulia Kovas - 2015 - Frontiers in Psychology 6.
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  • The Approximate Number System Acuity Redefined: A Diffusion Model Approach.Joonkoo Park & Jeffrey J. Starns - 2015 - Frontiers in Psychology 6.
  • Absolute Numerosity Discrimination as a Case Study in Comparative Vertebrate Intelligence.Andreas Nieder - 2020 - Frontiers in Psychology 11.
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  • Approximate Number Processing Skills Contribute to Decision Making Under Objective Risk: Interactions With Executive Functions and Objective Numeracy.Silke M. Mueller & Matthias Brand - 2018 - Frontiers in Psychology 9.
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  • Searching for the Critical P of Macphail’s Null Hypothesis: The Contribution of Numerical Abilities of Fish.Maria Elena Miletto Petrazzini, Alessandra Pecunioso, Marco Dadda & Christian Agrillo - 2020 - Frontiers in Psychology 11.
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  • Estimation Abilities of Large Numerosities in Kindergartners.Sandrine Mejias & Christine Schiltz - 2013 - Frontiers in Psychology 4.
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  • Confidence Measurement in the Light of Signal Detection Theory.Sã©Bastien Massoni, Thibault Gajdos & Jean-Christophe Vergnaud - 2014 - Frontiers in Psychology 5.
  • The Central Executive Mediates the Relationship Between Children’s Approximate Number System Acuity and Arithmetic Strategy Utilization in Computational Estimation.Hongxia Li, Mingliang Zhang, Xiangyan Wang, Xiao Ding & Jiwei Si - 2018 - Frontiers in Psychology 9.
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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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  • Measuring Acuity of the Approximate Number System Reliably and Validly: The Evaluation of an Adaptive Test Procedure.Marcus Lindskog, Anders Winman, Peter Juslin & Leo Poom - 2013 - Frontiers in Psychology 4.
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  • Children’s Non-Symbolic and Symbolic Numerical Representations and Their Associations With Mathematical Ability.Yanjun Li, Meng Zhang, Yinghe Chen, Zhijun Deng, Xiaoshuang Zhu & Shijia Yan - 2018 - Frontiers in Psychology 9.
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  • Deficits in Approximate Number System Acuity and Mathematical Abilities in 6.5-Year-Old Children Born Extremely Preterm.Melissa E. Libertus, Lea Forsman, Ulrika Adén & Kerstin Hellgren - 2017 - Frontiers in Psychology 8.
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  • The Importance of Being Relevant: Modulation of Magnitude Representations.Tali Leibovich, Liana Diesendruck, Orly Rubinsten & Avishai Henik - 2013 - Frontiers in Psychology 4.
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  • Magnitude Processing in Non-Symbolic Stimuli.Tali Leibovich & Avishai Henik - 2013 - Frontiers in Psychology 4.
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  • Testing the Efficacy of Training Basic Numerical Cognition and Transfer Effects to Improvement in Children’s Math Ability.Narae Kim, Selim Jang & Soohyun Cho - 2018 - Frontiers in Psychology 9.
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  • The Faculty of Language Integrates the Two Core Systems of Number.Ken Hiraiwa - 2017 - Frontiers in Psychology 8.
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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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  • Basic Understanding of Posterior Probability.Vittorio Girotto & Stefania Pighin - 2015 - Frontiers in Psychology 6.
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  • Do Exact Calculation and Computation Estimation Reflect the Same Skills? Developmental and Individual Differences Perspectives.Dana Ganor-Stern - 2018 - Frontiers in Psychology 9.
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  • The Influence of Math Anxiety on Symbolic and Non-Symbolic Magnitude Processing.Julia F. Dietrich, Stefan Huber, Korbinian Moeller & Elise Klein - 2015 - Frontiers in Psychology 6.
  • Significant Inter-Test Reliability Across Approximate Number System Assessments.Nicholas K. DeWind & Elizabeth M. Brannon - 2016 - Frontiers in Psychology 7.
  • Current Perspectives on Cognitive Diversity.Andrea Bender & Sieghard Beller - 2016 - Frontiers in Psychology 7.
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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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  • Ratio Dependence in Small Number Discrimination is Affected by the Experimental Procedure.Christian Agrillo, Laura Piffer, Angelo Bisazza & Brian Butterworth - 2015 - Frontiers in Psychology 6.
  • Numerical Architecture.Eric Mandelbaum - 2013 - Topics in Cognitive Science 5 (1):367-386.
    The idea that there is a “Number Sense” (Dehaene, 1997) or “Core Knowledge” of number ensconced in a modular processing system (Carey, 2009) has gained popularity as the study of numerical cognition has matured. However, these claims are generally made with little, if any, detailed examination of which modular properties are instantiated in numerical processing. In this article, I aim to rectify this situation by detailing the modular properties on display in numerical cognitive processing. In the process, I review literature (...)
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  • How Does the Mind Work? Insights From Biology.Gary Marcus - 2009 - Topics in Cognitive Science 1 (1):145-172.
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  • Violations of Core Knowledge Shape Early Learning.Aimee E. Stahl & Lisa Feigenson - 2019 - Topics in Cognitive Science 11 (1):136-153.
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  • Working Memory in Nonsymbolic Approximate Arithmetic Processing: A Dual‐Task Study With Preschoolers.Iro Xenidou‐Dervou, Ernest C. D. M. Lieshout & Menno Schoot - 2014 - Cognitive Science 38 (1):101-127.
    Preschool children have been proven to possess nonsymbolic approximate arithmetic skills before learning how to manipulate symbolic math and thus before any formal math instruction. It has been assumed that nonsymbolic approximate math tasks necessitate the allocation of Working Memory (WM) resources. WM has been consistently shown to be an important predictor of children's math development and achievement. The aim of our study was to uncover the specific role of WM in nonsymbolic approximate math. For this purpose, we conducted a (...)
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  • Quantity Recognition Among Speakers of an Anumeric Language.Caleb Everett & Keren Madora - 2012 - Cognitive Science 36 (1):130-141.
    Recent research has suggested that the Pirahã, an Amazonian tribe with a number-less language, are able to match quantities > 3 if the matching task does not require recall or spatial transposition. This finding contravenes previous work among the Pirahã. In this study, we re-tested the Pirahãs’ performance in the crucial one-to-one matching task utilized in the two previous studies on their numerical cognition, as well as in control tasks requiring recall and mental transposition. We also conducted a novel quantity (...)
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  • Numerical Ordering Ability Mediates the Relation Between Number-Sense and Arithmetic Competence.Ian M. Lyons & Sian L. Beilock - 2011 - Cognition 121 (2):256-261.
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  • Monkeys Match and Tally Quantities Across Senses.Elizabeth M. Brannon Kerry E. Jordan, Evan L. MacLean - 2008 - Cognition 108 (3):617.
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  • Children’s Understanding of Posterior Probability.Vittorio Girotto & Michel Gonzalez - 2008 - Cognition 106 (1):325-344.
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  • Numerosity and Number Signs in Deaf Nicaraguan Adults.Molly Flaherty & Ann Senghas - 2011 - Cognition 121 (3):427-436.
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  • The Role of Language in Mathematical Development: Evidence From Children with Specific Language Impairments.Chris Donlan, Richard Cowan, Elizabeth J. Newton & Delyth Lloyd - 2007 - Cognition 103 (1):23-33.
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