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The Quarterly Journal of Experimental Psychology Volume 63, 2010 - Issue 10
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Proximity and precedence in arithmetic

David Landy Department of Psychology, University of Richmond, Richmond, VA, USACorrespondence[email protected]
&
Robert L. Goldstone Department of Psychological and Brain Sciences, Indiana University, Bloomington, IN, USA
Pages 1953-1968 | Received 02 Oct 2008, Accepted 06 Jan 2010, Published online: 27 May 2010

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Erin Ottmar & David Landy. (2017) Concreteness Fading of Algebraic Instruction: Effects on Learning. Journal of the Learning Sciences 26:1, pages 51-78.
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Selmer Bringsjord. (2015) A Vindication of Program Verification. History and Philosophy of Logic 36:3, pages 262-277.
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Martin H. Fischer & Samuel Shaki. (2014) Spatial associations in numerical cognition—From single digits to arithmetic. The Quarterly Journal of Experimental Psychology 67:8, pages 1461-1483.
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Matthew J. Jiang, Jennifer L. Cooper & Martha W. Alibali. (2014) Spatial factors influence arithmetic performance: The case of the minus sign. The Quarterly Journal of Experimental Psychology 67:8, pages 1626-1642.
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MitchellJ. Nathan. (2012) Rethinking Formalisms in Formal Education. Educational Psychologist 47:2, pages 125-148.
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Camilla Gilmore. (2023) Understanding the complexities of mathematical cognition: A multi-level framework. Quarterly Journal of Experimental Psychology 76:9, pages 1953-1972.
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Ioannis Papadopoulos & Athina Thoma. (2022) Mental Brackets and Their Use by High School Students in Arithmetic and Algebra. International Journal of Science and Mathematics Education 21:4, pages 1197-1218.
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Regina E. Fabry. (2019) The cerebral, extra-cerebral bodily, and socio-cultural dimensions of enculturated arithmetical cognition. Synthese 197:9, pages 3685-3720.
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Dor Abrahamson, Mitchell J. Nathan, Caro Williams-Pierce, Candace Walkington, Erin R. Ottmar, Hortensia Soto & Martha W. Alibali. (2020) The Future of Embodied Design for Mathematics Teaching and Learning. Frontiers in Education 5.
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Joanne Eaves, Camilla Gilmore & Nina Attridge. (2020) Investigating the role of attention in the identification of associativity shortcuts using a microgenetic measure of implicit shortcut use. Quarterly Journal of Experimental Psychology 73:7, pages 1017-1035.
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Yacin Hamami, Milan N.A. van der Kuil, John Mumma & Ineke J.M. van der Ham. (2020) Cognitive processing of spatial relations in Euclidean diagrams. Acta Psychologica 205, pages 103019.
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Louise Barrett. 2020. The Cambridge Handbook of Evolutionary Perspectives on Human Behavior. The Cambridge Handbook of Evolutionary Perspectives on Human Behavior 194 206 .
Ioannis Papadopoulos & Robert Gunnarsson. (2020) Exploring the way rational expressions trigger the use of “mental” brackets by primary school students. Educational Studies in Mathematics 103:2, pages 191-207.
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Katie A. Gilligan, Alex Hodgkiss, Michael S. C. Thomas & Emily K. Farran. (2019) The developmental relations between spatial cognition and mathematics in primary school children. Developmental Science 22:4.
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Ilana Dubovi, Sharona T. Levy & Efrat Dagan. (2017) Situated Simulation-Based Learning Environment to Improve Proportional Reasoning in Nursing Students. International Journal of Science and Mathematics Education 16:8, pages 1521-1539.
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Hélène Verselder, Nicolas Morgado, Sébastien Freddi & Vincent Dru. (2018) When combined spatial polarities activated through spatio-temporal asynchrony lead to better mathematical reasoning for addition. Memory & Cognition 46:7, pages 1194-1209.
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Martin H. Fischer & Samuel Shaki. (2018) Number concepts: abstract and embodied. Philosophical Transactions of the Royal Society B: Biological Sciences 373:1752, pages 20170125.
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Christopher J. Young, Susan C. Levine & Kelly S. Mix. (2018) The Connection Between Spatial and Mathematical Ability Across Development. Frontiers in Psychology 9.
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Martha W. Alibali, Noelle M. Crooks & Nicole M. McNeil. (2017) Perceptual support promotes strategy generation: Evidence from equation solving. British Journal of Developmental Psychology 36:2, pages 153-168.
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Mengjin Li, Dixiu Liu, Min Li, Wenshan Dong, Yalun Huang & Qi Chen. (2018) Addition and Subtraction but Not Multiplication and Division Cause Shifts of Spatial Attention. Frontiers in Human Neuroscience 12.
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Christopher Young, Susan C. Levine & Kelly S. Mix. 2018. Visualizing Mathematics. Visualizing Mathematics 117 148 .
Krzysztof Cipora, Philipp Alexander Schroeder, Mojtaba Soltanlou & Hans-Christoph Nuerk. 2018. Visualizing Mathematics. Visualizing Mathematics 77 116 .
Bryan J. Matlen, Lindsey E. Richland, Ellen C. Klostermann & Emily Lyons. 2018. Diagrammatic Representation and Inference. Diagrammatic Representation and Inference 148 163 .
Melissa DeWolf, Ji Y. Son, Miriam Bassok & Keith J. Holyoak. (2017) Relational Priming Based on a Multiplicative Schema for Whole Numbers and Fractions. Cognitive Science 41:8, pages 2053-2088.
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Robert L. Goldstone, Tyler Marghetis, Erik Weitnauer, Erin R. Ottmar & David Landy. (2017) Adapting Perception, Action, and Technology for Mathematical Reasoning. Current Directions in Psychological Science 26:5, pages 434-441.
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Mateusz Hohol, Krzysztof Cipora, Klaus Willmes & Hans-Christoph Nuerk. (2017) Bringing Back the Balance: Domain-General Processes Are Also Important in Numerical Cognition. Frontiers in Psychology 8.
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Elisabetta Robotti & Anna Baccaglini-Frank. 2017. Innovation and Technology Enhancing Mathematics Education. Innovation and Technology Enhancing Mathematics Education 77 106 .
Elisabetta Robotti. 2017. Digital Technologies in Designing Mathematics Education Tasks. Digital Technologies in Designing Mathematics Education Tasks 193 214 .
Jessie Rivera & Patrick Garrigan. (2016) Persistent perceptual grouping effects in the evaluation of simple arithmetic expressions. Memory & Cognition 44:5, pages 750-761.
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Belinda Pletzer, Andrea Scheuringer & TiAnni Harris. (2016) Spacing and Presentation Modes Affect the Unit-Decade Compatibility Effect During Number Comparison. Experimental Psychology 63:3, pages 189-195.
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David W. Braithwaite, Robert L. Goldstone, Han L.J. van der Maas & David H. Landy. (2016) Non-formal mechanisms in mathematical cognitive development: The case of arithmetic. Cognition 149, pages 40-55.
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Krzysztof Cipora, Katarzyna Patro & Hans‐Christoph Nuerk. (2015) Are Spatial‐Numerical Associations a Cornerstone for Arithmetic Learning? The Lack of Genuine Correlations Suggests No. Mind, Brain, and Education 9:4, pages 190-206.
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David Maximiliano Gómez, Abelino Jiménez, Roberto Bobadilla, Cristián Reyes & Pablo Dartnell. (2015) The effect of inhibitory control on general mathematics achievement and fraction comparison in middle school children. ZDM 47:5, pages 801-811.
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Michael L. Anderson. (2015) Mining the Brain for a New Taxonomy of the Mind. Philosophy Compass 10:1, pages 68-77.
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Elisa Schneider, Masaki Maruyama, Stanislas Dehaene & Mariano Sigman. (2012) Eye gaze reveals a fast, parallel extraction of the syntax of arithmetic formulas. Cognition 125:3, pages 475-490.
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Richard W. Prather. (2012) Implicit Learning of Arithmetic Regularities Is Facilitated by Proximal Contrast. PLoS ONE 7:10, pages e48868.
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Masaki Maruyama, Christophe Pallier, Antoinette Jobert, Mariano Sigman & Stanislas Dehaene. (2012) The cortical representation of simple mathematical expressions. NeuroImage 61:4, pages 1444-1460.
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