Skip to main content
Intended for healthcare professionals
Restricted access
Research article
First published online April 29, 2010

General Magnitude Representation in Human Infants

Abstract

Behavioral demonstrations of reciprocal interactions among the dimensions of space, number, and time, along with evidence of shared neural mechanisms in posterior parietal cortex, are consistent with a common representational code for general magnitude information. Although much recent speculation has concerned the developmental origins of a system of general magnitude representation, direct evidence in preverbal infants is lacking. Here we show that 9-month-olds transfer associative learning across magnitude dimensions. For example, if shown that larger objects were black and had stripes and that smaller objects were white and had dots, infants expected the same color-pattern mapping to hold for numerosity (i.e., greater numerosity: black with stripes; smaller numerosity: white with dots) and duration (i.e., longer-lasting objects: black with stripes; shorter-lasting objects: white with dots). Cross-dimensional transfer occurred bidirectionally for all combinations of size, numerosity, and duration. These results provide support for the existence of an early-developing and prelinguistic general magnitude system, whereby representations of magnitude information are (at least partially) abstracted from the specific dimensions.

Get full access to this article

View all access and purchase options for this article.

References

Brannon E.M., Abbott S., Lutz D.J. (2004). Number bias for the discrimination of large visual sets in infancy. Cognition, 93, B59–B68.
Brannon E.M., Lutz D., Cordes S. (2006). The development of area discrimination and its implications for number representation in infancy. Developmental Science, 9, F59–F64.
Brannon E.M., Suanda S., Libertus K. (2007). Temporal discrimination increases in precision over development and parallels the development of numerosity discrimination. Developmental Science, 10, 770–777.
Castelli F., Glaser D.E., Butterworth B. (2006). Discrete and analogue quantity processing in the parietal lobe: A functional MRI study. Proceedings of the National Academy of Sciences, USA, 103, 4693–4698.
Clearfield M.W., Mix K.S. (1999). Number versus contour length in infants’ discrimination of small visual sets. Psychological Science, 10, 408–411.
Cohen L.B., Atkinson D.J., Chatput H.H. (2004). Habit X: A new program for obtaining and organizing data in infant perception and cognition studies, v. 1.0 [Computer software]. Austin: University of Texas.
Cordes S., Brannon E.M. (2009). The relative salience of discrete and continuous quantity in young infants. Developmental Science, 12, 453–463.
Dehaene S., Bossini S., Giraux P. (1993). The mental representation of parity and number magnitude. Journal of Experimental Psychology: General, 122, 371–396.
Dehaene S., Spelke E.S., Pinel P., Stanescu R., Tsivkin S. (1999). Sources of mathematical thinking: Behavioral and brain-imaging evidence. Science, 284, 970–974.
DeLong A.J. (1981). Phenomenological space-time: Toward an experiential relativity. Science, 213, 681–683.
Feigenson L. (2007). The equality of quantity. Trends in Cognitive Sciences, 11, 185–187.
Fischer M.H., Castel A.D., Dodd M.D., Pratt J. (2003). Perceiving numbers causes spatial shifts of attention. Nature Neuroscience, 6, 555–556.
Gallistel C.R., Gelman R. (1992). Preverbal and verbal counting and computation. Cognition, 44, 43–74.
Gevers W., Verguts T., Reynvoet B., Caessens B., Fias W. (2006). Numbers and space: A computational model of the SNARC effect. Journal of Experimental Psychology: Human Perception and Performance, 32, 32–44.
Henik A., Tzelgov J. (1982). Is three greater than five: The relation between physical and semantic size in comparison tasks. Memory & Cognition, 10, 389–395.
Holmes K.J., Lourenco S.F. (2009). Spatial organization of magnitude in the representation of number and emotion. In Taatgen N.A., van Rijn H. (Eds.), Proceedings of the 31st Annual Conference of the Cognitive Science Society (pp. 2402–2407). Austin, TX: Cognitive Science Society.
Hurewitz F., Gelman R., Schnitzer B. (2006). Sometimes area counts more than number. Proceedings of the National Academy of Sciences, USA, 103, 19599–19604.
Jordan K.E., Brannon E.M. (2006). The multisensory representation of number in infancy. Proceedings of the National Academy of Sciences, USA, 103, 3486–3489.
Leon M.I., Shadlen M.N. (2003). Representation of time by neurons in the posterior parietal cortex of the macaque. Neuron, 38, 317–327.
Levin I. (1977). The development of time concepts in young children: Reasoning about duration. Child Development, 48, 435–444.
Lipton J.S., Spelke E.S. (2003). Origins of number sense: Large-number discrimination in human infants. Psychological Science, 14, 396–401.
Maquet P., Lejeune H., Pouthas V., Bonnet M., Casini L., Macar F., et al. (1996). Brain activation induced by estimation of duration: A PET study. NeuroImage, 3, 119–126.
Meck W.H., Church R.M. (1983). A mode control model of counting and timing processes. Journal of Experimental Psychology: Animal Behavior Processes, 9, 320–334.
Mix K.S., Huttenlocher J., Levine S.C. (2002). Multiple cues for quantification in infancy: Is number one of them? Psychological Bulletin, 128, 278–294.
Mix K.S., Levine S.C., Huttenlocher J. (1997). Numerical abstraction in infants: Another look. Developmental Psychology, 33, 423–428.
Oliveri M., Vicario C.M., Salerno S., Koch G., Turriziani P., Mangano R., et al. (2008). Perceiving numbers alters time perception. Neuroscience Letters, 438, 308–311.
Piaget J. (1965). The child’s conception of number. Oxford, England: W.W. Norton.
Piaget J. (1969). The child’s conception of time. New York: Ballantine Books.
Piazza M., Pinel P., Le Bihan D., Dehaene S. (2007). A magnitude code common to numerosities and number symbols in human intraparietal cortex. Neuron, 53, 293–305.
Pinel P., Piazza M., Le Bihan D., Dehaene S. (2004). Distributed and overlapping cerebral representations of number, size, and luminance during comparative judgments. Neuron, 41, 983–993.
Sarrazin J.-C., Giraudo M.D., Pailhous J., Bootsma R.J. (2004). Dynamics of balancing space and time in memory: Tau and kappa effects revisited. Journal of Experimental Psychology: Human Perception and Performance, 30, 411–430.
Sereno M.I., Pitzalis S., Martinez A. (2001). Mapping of contralateral space in retinotopic coordinates by a parietal area in humans. Science, 294, 1350–1354.
Siegler R.S., Richards D.D. (1979). Development of time, speed, and distance concepts. Developmental Psychology, 15, 288–298.
Smith L.B., Sera M.D. (1992). A developmental analysis of the polar structure of dimensions. Cognitive Psychology, 24, 99–142.
Starkey P., Spelke E.S., Gelman R. (1983). Detection of intermodal numerical correspondence by human infants. Science, 222, 179–181.
vanMarle K., Wynn K. (2006). Six-month-old infants use analog magnitudes to represent duration. Developmental Science, 9, F41–F49.
Walsh V. (2003). A theory of magnitude: Common cortical metrics of time, space and quantity. Trends in Cognitive Sciences, 7, 483–388.
Wynn K. (1992). Addition and subtraction by human infants. Nature, 358, 749–750.
Xu F., Spelke E.S. (2000). Large number discrimination in 6-month-old infants. Cognition, 74, B1–B11.

Supplementary Material

Files in this Data Supplement:

Summary

Additional supporting information may be found at http://pss.sagepub.com/content/by/supplemental-data

Resources

File (supplemental_materials_psychscience-r2-final.pdf)

Cite article

Cite article

Cite article

OR

Download to reference manager

If you have citation software installed, you can download article citation data to the citation manager of your choice

Share options

Share

Share this article

Share with email
EMAIL ARTICLE LINK
Share on social media

Share access to this article

Sharing links are not relevant where the article is open access and not available if you do not have a subscription.

For more information view the Sage Journals article sharing page.

Information, rights and permissions

Information

Published In

Article first published online: April 29, 2010
Issue published: June 2010

Keywords

  1. magnitude representation
  2. space, number, and time
  3. infants

Rights and permissions

© The Author(s) 2010.
PubMed: 20431048

Authors

Affiliations

Stella F. Lourenco
Department of Psychology, Emory University
Matthew R. Longo
Institute of Cognitive Neuroscience, University College London

Notes

Stella F. Lourenco, Department of Psychology, Emory University, 36 Eagle Row, Atlanta, GA 30322 E-mail: [email protected]

Metrics and citations

Metrics

Journals metrics

This article was published in Psychological Science.

VIEW ALL JOURNAL METRICS

Article usage*

Total views and downloads: 982

*Article usage tracking started in December 2016


Altmetric

See the impact this article is making through the number of times it’s been read, and the Altmetric Score.
Learn more about the Altmetric Scores



Articles citing this one

Receive email alerts when this article is cited

Web of Science: 204 view articles Opens in new tab

Crossref: 200

  1. How do symbolic and non-symbolic spatial-numerical associations develo...
    Go to citation Crossref Google Scholar
  2. Top-down determinants of the numerosity–time interaction
    Go to citation Crossref Google Scholar
  3. The combination of the horizontal and vertical dimensions in mental ti...
    Go to citation Crossref Google Scholar
  4. Transfer from continuous to discrete quantities in honeybees
    Go to citation Crossref Google Scholar
  5. Electrophysiological Comparison of Cumulative Area and Non-Symbolic Nu...
    Go to citation Crossref Google Scholar
  6. Spontaneous supra-modal encoding of number in the infant brain
    Go to citation Crossref Google Scholar
  7. Does auditory numerosity and non-numerical magnitude affect visual non...
    Go to citation Crossref Google ScholarPub Med
  8. Preface
    Go to citation Crossref Google Scholar
  9. The link between number and action in human infants
    Go to citation Crossref Google Scholar
  10. Mechanisms for individual, group-based and crowd-based attention to so...
    Go to citation Crossref Google Scholar
  11. Rhesus monkeys manipulate mental images
    Go to citation Crossref Google Scholar
  12. The vertical space–time association
    Go to citation Crossref Google ScholarPub Med
  13. Children gradually construct spatial representations of temporal event...
    Go to citation Crossref Google Scholar
  14. Cross-dimensional interference between time and distance during spatia...
    Go to citation Crossref Google Scholar
  15. Do children estimate area using an “Additive‐Area Heuristic”?
    Go to citation Crossref Google Scholar
  16. Cross-dimensional magnitude interactions reflect statistical correlati...
    Go to citation Crossref Google Scholar
  17. How to display products available in multiple color saturation: Fit be...
    Go to citation Crossref Google Scholar
  18. Cross-dimensional magnitude interaction is modulated by representation...
    Go to citation Crossref Google Scholar
  19. Comprensión del tiempo a través del espacio: Un estudio de plasticidad...
    Go to citation Crossref Google Scholar
  20. When dogs meow: An electrophysiological study of lexical–semantic proc...
    Go to citation Crossref Google Scholar
  21. Eye Tracking Lateralized Spatial Associations in Early Childhood
    Go to citation Crossref Google Scholar
  22. Children's understanding of the abstract logic of counting
    Go to citation Crossref Google Scholar
  23. Nonsymbolic-Magnitude Deficit in Adults With Developmental Dyscalculia...
    Go to citation Crossref Google ScholarPub Med
  24. The influence of children’s mathematical competence on performance in ...
    Go to citation Crossref Google Scholar
  25. A sense of number in invertebrates
    Go to citation Crossref Google Scholar
  26. More Later: Delay of Gratification and Thought About the Future in Chi...
    Go to citation Crossref Google Scholar
  27. The future is in front, to the right, or below: Development of spatial...
    Go to citation Crossref Google Scholar
  28. Spatial Metaphor Facilitates Word Learning
    Go to citation Crossref Google Scholar
  29. Numerosities and Other Magnitudes in the Brains: A Comparative View
    Go to citation Crossref Google Scholar
  30. How the Human Mind Grounds Numerical Quantities on Space
    Go to citation Crossref Google Scholar
  31. The Ontogeny of Hippocampus-Dependent Memories
    Go to citation Crossref Google Scholar
  32. Space, Time, and Number
    Go to citation Crossref Google Scholar
  33. Die Entwicklung von Konzepten
    Go to citation Crossref Google Scholar
  34. The number sense represents (rational) numbers
    Go to citation Crossref Google Scholar
  35. The Role of Non-symbolic and Symbolic Skills in the Development of Ear...
    Go to citation Crossref Google Scholar
  36. The role of action intentionality and effector in the subjective expan...
    Go to citation Crossref Google Scholar
  37. Number sense biases children's area judgments
    Go to citation Crossref Google Scholar
  38. The relations among navigation, object analysis, and magnitude percept...
    Go to citation Crossref Google Scholar
  39. The Cambridge Handbook of Infant Development
    Go to citation Crossref Google Scholar
  40. Early Knowledge About Space and Quantity
    Go to citation Crossref Google Scholar
  41. Transfer from Number to Size Reveals Abstract Coding of Magnitude in H...
    Go to citation Crossref Google Scholar
  42. Healthiness or calories? Side biases in food perception and preference
    Go to citation Crossref Google Scholar
  43. The neural signature of numerosity by separating numerical and continu...
    Go to citation Crossref Google Scholar
  44. Can Implicit or Explicit Time Processing Impact Numerical Representati...
    Go to citation Crossref Google Scholar
  45. The Development of Young Children’s Mental Timeline in Relation to Eme...
    Go to citation Crossref Google Scholar
  46. The Development of Size Sequencing Skills: An Empirical and Computatio...
    Go to citation Crossref Google Scholar
  47. A mental number line in human newborns
    Go to citation Crossref Google Scholar
  48. Ontogenetic Origins of Human Integer Representations
    Go to citation Crossref Google Scholar
  49. The association of brightness with number/duration in human newborns
    Go to citation Crossref Google Scholar
  50. Metaphors in the Mind
    Go to citation Crossref Google Scholar
  51. The Relational SNARC: Spatial Representation of Nonsymbolic Ratios
    Go to citation Crossref Google Scholar
  52. Number, time, and space are not singularly represented: Evidence again...
    Go to citation Crossref Google Scholar
  53. Discrimination of Small Forms in a Deviant-Detection Paradigm by 10-mo...
    Go to citation Crossref Google Scholar
  54. Adaptation reveals unbalanced interaction between numerosity and time
    Go to citation Crossref Google Scholar
  55. Processing number and length in the parietal cortex: Sharing resources...
    Go to citation Crossref Google Scholar
  56. The Additive-Area Heuristic: An Efficient but Illusory Means of Visual...
    Go to citation Crossref Google ScholarPub Med
  57. The Influence of Number Magnitude on Vocal Responses
    Go to citation Crossref Google Scholar
  58. Spatial Skills, Reasoning, and Mathematics
    Go to citation Crossref Google Scholar
  59. Spatial grounding of symbolic arithmetic: an investigation with optoki...
    Go to citation Crossref Google Scholar
  60. Magnitude and Number Sensitivity of the Approximate Number System in C...
    Go to citation Crossref Google Scholar
  61. Interaction between perceptual and motor magnitudes in early childhood
    Go to citation Crossref Google Scholar
  62. Cross‐magnitude interactions across development: Longitudinal evidence...
    Go to citation Crossref Google Scholar
  63. Dynamics and development in number-to-space mapping
    Go to citation Crossref Google Scholar
  64. Development of a Possible General Magnitude System for Number and Spac...
    Go to citation Crossref Google Scholar
  65. Developmental Dyscalculia in Adults: Beyond Numerical Magnitude Impair...
    Go to citation Crossref Google ScholarPub Med
  66. Cross-dimensional magnitude interactions arise from memory interferenc...
    Go to citation Crossref Google Scholar
  67. Do Metaphors Move From Mind to Mouth? Evidence From a New System of Li...
    Go to citation Crossref Google Scholar
  68. The mental timeline is gradually constructed in childhood
    Go to citation Crossref Google Scholar
  69. There’s a SNARC in the Size Congruity Task
    Go to citation Crossref Google Scholar
  70. Effect of perceived length on numerosity estimation: Evidence from the...
    Go to citation Crossref Google ScholarPub Med
  71. Explicit Understanding of Duration Develops Implicitly through Action
    Go to citation Crossref Google Scholar
  72. Hitting the Target: Mathematical Attainment in Children Is Related to ...
    Go to citation Crossref Google ScholarPub Med
  73. The SNARC effect is associated with worse mathematical intelligence an...
    Go to citation Crossref Google Scholar
  74. Promoting preschoolers' numerical knowledge through spatial analogies:...
    Go to citation Crossref Google Scholar
  75. On the genesis of spatial-numerical associations: Evolutionary and cul...
    Go to citation Crossref Google Scholar
  76. The Early Construction of Spatial Attention: Culture, Space, and Gestu...
    Go to citation Crossref Google Scholar
  77. The impact of emotion on numerical estimation: A developmental perspec...
    Go to citation Crossref Google ScholarPub Med
  78. Illuminating ATOM: Taking time across the colour category border
    Go to citation Crossref Google Scholar
  79. From Innate Spatial Biases to Enculturated Spatial Cognition: The Case...
    Go to citation Crossref Google Scholar
  80. How Evolution Constrains Human Numerical Concepts
    Go to citation Crossref Google Scholar
  81. Children's intuitive sense of number develops independently of their p...
    Go to citation Crossref Google Scholar
  82. Developmental Changes in the Effect of Active Left and Right Head Rota...
    Go to citation Crossref Google Scholar
  83. A random-matrix theory of the number sense
    Go to citation Crossref Google Scholar
  84. Observation of directional storybook reading influences young children...
    Go to citation Crossref Google Scholar
  85. Individuals and non-individuals in cognition and semantics: The mass/c...
    Go to citation Crossref Google Scholar
  86. Is Visuospatial Reasoning Related to Early Mathematical Development? A...
    Go to citation Crossref Google Scholar
  87. Visuo-spatial processes as a domain-general factor impacting numerical...
    Go to citation Crossref Google Scholar
  88. Operational momentum during ordering operations for size and number in...
    Go to citation Crossref Google Scholar
  89. Developmental Dyscalculia and Automatic Magnitudes Processing: Investi...
    Go to citation Crossref Google Scholar
  90. Spontaneous, modality-general abstraction of a ratio scale
    Go to citation Crossref Google Scholar
  91. Linguistic asymmetry, egocentric anchoring, and sensory modality as fa...
    Go to citation Crossref Google Scholar
  92. Spatial representation of magnitude in gorillas and orangutans
    Go to citation Crossref Google Scholar
  93. Experimental Evidence From Newborn Chicks Enriches Our Knowledge on Hu...
    Go to citation Crossref Google Scholar
  94. Mastery of the logic of natural numbers is not the result of mastery o...
    Go to citation Crossref Google Scholar
  95. Loudness Counts: Interactions between Loudness, Number Magnitude, and ...
    Go to citation Crossref Google ScholarPub Med
  96. Representations of numerical and non‐numerical magnitude both contribu...
    Go to citation Crossref Google Scholar
  97. Innate and Cultural Spatial Time: A Developmental Perspective
    Go to citation Crossref Google Scholar
  98. Number-space associations without language: Evidence from preverbal hu...
    Go to citation Crossref Google Scholar
  99. Adolescents with Developmental Dyscalculia Do Not Have a Generalized M...
    Go to citation Crossref Google Scholar
  100. Transitive inference of social dominance by human infants
    Go to citation Crossref Google Scholar
  101. Size Perception and the Foundation of Numerical Processing
    Go to citation Crossref Google Scholar
  102. Neurophilosophy of Number
    Go to citation Crossref Google Scholar
  103. Preschool children use space, rather than counting, to infer the numer...
    Go to citation Crossref Google Scholar
  104. Right idea, wrong magnitude system
    Go to citation Crossref Google Scholar
  105. The contributions of non-numeric dimensions to number encoding, repres...
    Go to citation Crossref Google Scholar
  106. How not to develop a sense of number
    Go to citation Crossref Google Scholar
  107. The Role of Non-Numerical Stimulus Features in Approximate Number Syst...
    Go to citation Crossref Google Scholar
  108. Eye Movements Reveal Mental Looking Through Time
    Go to citation Crossref Google Scholar
  109. Mental Number Line in the Preliterate Brain: The Role of Early Directi...
    Go to citation Crossref Google Scholar
  110. A general magnitude system in human adults: Evidence from a subliminal...
    Go to citation Crossref Google Scholar
  111. The cultural cognition of time
    Go to citation Crossref Google Scholar
  112. Where music meets space: Children’s sensitivity to pitch intervals is ...
    Go to citation Crossref Google Scholar
  113. Healthy-Left, Unhealthy-Right: Can Displaying Healthy Items to the Lef...
    Go to citation Crossref Google Scholar
  114. Continuity and Change in the Field of Cognitive Development and in the...
    Go to citation Crossref Google Scholar
  115. Operational momentum and size ordering in preverbal infants
    Go to citation Crossref Google Scholar
  116. Small on the left, large on the right: numbers orient visual attention...
    Go to citation Crossref Google Scholar
  117. Magnitude knowledge: the common core of numerical development
    Go to citation Crossref Google Scholar
  118. Piece of Evidence. Commentary: Ancestral Mental Number Lines: What Is ...
    Go to citation Crossref Google Scholar
  119. Micromégas: Altered Body–Environment Scaling in Literary Fiction
    Go to citation Crossref Google Scholar
  120. Non-symbolic division in childhood
    Go to citation Crossref Google Scholar
  121. Space, Time, and Number
    Go to citation Crossref Google Scholar
  122. Die Entwicklung von Konzepten
    Go to citation Crossref Google Scholar
  123. Development of Quantitative Thinking Across Correlated Dimensions
    Go to citation Crossref Google Scholar
  124. Link Between Numbers and Spatial Extent From Birth to Adulthood
    Go to citation Crossref Google Scholar
  125. Number Versus Continuous Quantities in Lower Vertebrates
    Go to citation Crossref Google Scholar
  126. How Do Humans Represent Numerical and Nonnumerical Magnitudes? Evidenc...
    Go to citation Crossref Google Scholar
  127. Core mathematical abilities in infants
    Go to citation Crossref Google Scholar
  128. Approximate number and approximate time discrimination each correlate ...
    Go to citation Crossref Google Scholar
  129. Cross-Modal Correspondences in Non-human Mammal Communication
    Go to citation Crossref Google Scholar
  130. Analogue Magnitude Representations: A Philosophical Introduction
    Go to citation Crossref Google Scholar
  131. Are Spatial‐Numerical Associations a Cornerstone for Arithmetic Learni...
    Go to citation Crossref Google Scholar
  132. Development of spatial preferences for counting and picture naming
    Go to citation Crossref Google Scholar
  133. Thinking about quantity: the intertwined development of spatial and nu...
    Go to citation Crossref Google Scholar
  134. Developmental Continuity in the Link Between Sensitivity to Numerosity...
    Go to citation Crossref Google Scholar
  135. Modeling the approximate number system to quantify the contribution of...
    Go to citation Crossref Google Scholar
  136. What makes space-time interactions in human vision asymmetrical?
    Go to citation Crossref Google Scholar
  137. A Bayesian perspective on magnitude estimation
    Go to citation Crossref Google Scholar
  138. The Development of Temporal Cognition
    Go to citation Crossref Google Scholar
  139. The Impact of Symbolic and Non-Symbolic Quantity on Spatial Learning
    Go to citation Crossref Google Scholar
  140. Of magnitudes and metaphors: Explaining cognitive interactions between...
    Go to citation Crossref Google Scholar
  141. On the Relation between Numerical and Non-Numerical Magnitudes
    Go to citation Crossref Google Scholar
  142. Analog Origins of Numerical Concepts
    Go to citation Crossref Google Scholar
  143. Development of Spatial-Numerical Associations
    Go to citation Crossref Google ScholarPub Med
  144. Eye movements during mental time travel follow a diagonal line
    Go to citation Crossref Google Scholar
  145. The sound symbolism bootstrapping hypothesis for language acquisition ...
    Go to citation Crossref Google Scholar
  146. Are Numbers, Size and Brightness Equally Efficient in Orienting Visual...
    Go to citation Crossref Google Scholar
  147. Multiple visual quantitative cues enhance discrimination of dynamic st...
    Go to citation Crossref Google Scholar
  148. How number-space relationships are assessed before formal schooling: A...
    Go to citation Crossref Google Scholar
  149. Human Infants' Preference for Left-to-Right Oriented Increasing Numeri...
    Go to citation Crossref Google Scholar
  150. A cross-sectional developmental examination of the SNARC effect in a v...
    Go to citation Crossref Google Scholar
  151. The Origins and Development of Magnitude Estimation
    Go to citation Crossref Google Scholar
  152. Polysemy and the Taxonomic Constraint: Children's Representation of Wo...
    Go to citation Crossref Google Scholar
  153. Culturally driven biases in preschoolers’ spatial search strategies fo...
    Go to citation Crossref Google Scholar
  154. Brief non-symbolic, approximate number practice enhances subsequent ex...
    Go to citation Crossref Google Scholar
  155. Numerical landmarks are useful—except when they’re not
    Go to citation Crossref Google Scholar
  156. Representations of space, time, and number in neonates
    Go to citation Crossref Google Scholar
  157. Spatial language and abstract concepts
    Go to citation Crossref Google Scholar
  158. Bibliographie
    Go to citation Crossref Google Scholar
  159. Object distance scaling in real space is preserved in low vision subje...
    Go to citation Crossref Google Scholar
  160. 25 years of research on the use of geometry in spatial reorientation: ...
    Go to citation Crossref Google Scholar
  161. Not All Continuous Dimensions Map Equally: Number-Brightness Mapping i...
    Go to citation Crossref Google Scholar
  162. Relational congruence facilitates neural mapping of spatial and tempor...
    Go to citation Crossref Google Scholar
  163. The effect of stimulus variability on children's judgements of quantit...
    Go to citation Crossref Google Scholar
  164. Are we all born synaesthetic? Examining the neonatal synaesthesia hypo...
    Go to citation Crossref Google Scholar
  165. Elementary school children’s attentional biases in physical and numeri...
    Go to citation Crossref Google Scholar
  166. Numerical quantity affects time estimation in the suprasecond range
    Go to citation Crossref Google Scholar
  167. The tangle of space and time in human cognition
    Go to citation Crossref Google Scholar
  168. When Numbers Get Heavy: Is the Mental Number Line Exclusively Numerica...
    Go to citation Crossref Google Scholar
  169. 1 < 2 and 2 < 3: Non-Linguistic Appreciations of Numerical Ord...
    Go to citation Crossref Google Scholar
  170. Numerical and physical magnitudes are mapped into time
    Go to citation Crossref Google ScholarPub Med
  171. Discrimination and ordinal judgments of temporal durations at 3 months
    Go to citation Crossref Google Scholar
  172. Nonsymbolic number and cumulative area representations contribute shar...
    Go to citation Crossref Google Scholar
  173. When time is space: Evidence for a mental time line
    Go to citation Crossref Google Scholar
  174. Increasing magnitude counts more: Asymmetrical processing of ordinalit...
    Go to citation Crossref Google Scholar
  175. Connecting neural coding to number cognition: a computational account
    Go to citation Crossref Google Scholar
  176. Math, monkeys, and the developing brain
    Go to citation Crossref Google Scholar
  177. Orienting Numbers in Mental Space: Horizontal Organization Trumps Vert...
    Go to citation Crossref Google ScholarPub Med
  178. Approaching stimuli bias attention in numerical space
    Go to citation Crossref Google Scholar
  179. Brain Activity during a Visuospatial Working Memory Task Predicts Arit...
    Go to citation Crossref Google Scholar
  180. Cross-Dimensional Mapping of Number, Length and Brightness by Preschoo...
    Go to citation Crossref Google Scholar
  181. Judgement of discrete and continuous quantity in adults: Number counts...
    Go to citation Crossref Google ScholarPub Med
  182. The spatial–numerical congruity effect in preschoolers
    Go to citation Crossref Google Scholar
  183. Speed discrimination in 6- and 10-month-old infants follows Weber’s la...
    Go to citation Crossref Google Scholar
  184. The origins and structure of quantitative concepts
    Go to citation Crossref Google Scholar
  185. The Relation Between Space and Math
    Go to citation Crossref Google Scholar
  186. Common spatial organization of number and emotional expression: A ment...
    Go to citation Crossref Google Scholar
  187. Sensitivity to number: Reply to Gebuis and Gevers
    Go to citation Crossref Google Scholar
  188. Predicting sights from sounds: 6-month-olds’ intermodal numerical abil...
    Go to citation Crossref Google Scholar
  189. Distributed versus focused attention (count vs estimate)
    Go to citation Crossref Google Scholar
  190. Even Abstract Motion Influences the Understanding of Time
    Go to citation Crossref Google Scholar
  191. Numbers and time doubly dissociate
    Go to citation Crossref Google Scholar
  192. The “Where” and “What” in Developmental Dyscalculia
    Go to citation Crossref Google Scholar
  193. An integrated theory of whole number and fractions development
    Go to citation Crossref Google Scholar
  194. Visual influence on path integration in darkness indicates a multimoda...
    Go to citation Crossref Google Scholar
  195. Mental Magnitudes
    Go to citation Crossref Google Scholar
  196. Origins and Development of Generalized Magnitude Representation
    Go to citation Crossref Google Scholar
  197. Improving Low-Income Children’s Number Sense
    Go to citation Crossref Google Scholar
  198. Foreword
    Go to citation Crossref Google Scholar
  199. There Is Nothing So Practical as a Good Theory
    Go to citation Crossref Google Scholar
  200. Space, time, and number: a Kantian research program
    Go to citation Crossref Google Scholar

Figures and tables

Figures & Media

Tables

View Options

Get access

Access options

If you have access to journal content via a personal subscription, university, library, employer or society, select from the options below:

APS members can access this journal content using society membership credentials.

APS members can access this journal content using society membership credentials.


Alternatively, view purchase options below:

Purchase 24 hour online access to view and download content.

Access journal content via a DeepDyve subscription or find out more about this option.

View options

PDF/ePub

View PDF/ePub

Full Text

View Full Text