Beyond core knowledge: Natural geometry

Cognitive Science

Volumn 34, Issue 5, 2010, Pages 863-884

  Spelke, Elizabeth ^a   Lee, Sang Ah ^a   Izard, Véronique ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

Cognitive development; Conceptual change; Form perception; Navigation; Spatial cognition

Indexed keywords

EID: 77955816960     PISSN: 03640213     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1551-6709.2010.01110.x     Document Type: Article

References (107)

1. Berkley G. Essay toward a new theory of vision. Philosophical Works 1709/1975, Ayers M. Ed, London, Dent
2. Biederman I. Recognition by components: A theory of human image understanding. Psychological Review 1987, 94:115-147.
3. Biederman I, Cooper E E. Translational and reflectional priming invariance: A retrospective. Perception 2009, 38:809-825.
4. Biederman I, Yue X, Davidoff J. Representations of shape in individuals from a culture with minimal exposure to regular, simple artifacts. Psychological Science 2009, 20:1437-1442.
5. Brown A A, Spetch M L, Hurd P L. Growing in circles: Rearing environment alters spatial navigation in fish. Psychological Science 2007, 18:569-573.
6. Burgess N, Jeffery K J, O'Keefe J. The hippocampal and parietal foundations of spatial cognition 1999, Oxford, England, Oxford University Press
7. Butterworth B, Reeve R, Reynolds F, Lloyd D. Numerical thought with and without words: Evidence for indigenous Australian children. Proceedings of the National Academy of Sciences (U.S.A.) 2008, 105:13179-13184.
8. Carey S. The origin of concepts 2009, New York, Oxford University Press
9. Carthy J D. The orientation of two allied species of British ant, II. Odour trail laying and following in acanthomyops (Lasius) fuliginosus. Behaviour 1951, 3:304-318.
10. Cartwright B A, Collett T S. How honey bees use landmarks to guide their return to a food source. Nature 1982, 295:560-564.
11. Cheng K. A purely geometric module in the rats' spatial representation. Cognition 1986, 23:149-178.
12. Cheng K, Gallistel C R. Testing the geometric power of an animal's spatial representation. Animal cognition: Proceedings of the Harry Frank Guggenheim conference 1984, 409-424. Roitblat H L, Bever T GTerrace H S. Eds, Hillsdale, NJ, Erlbaum
13. Cheng K, Newcombe N S. Is there a geometric module for spatial reorientation? Squaring theory and evidence. Psychonomic Bulletin and Review 2005, 12:1-23.
14. Chiandetti C, Vallortigara G. Is there an innate geometric module? Effects of experience with angular geometric cues on spatial re-orientation based on the shape of the environment. Animal Cognition 2008, 11:139-146.
15. Cooper L A, Shepard R N. Chronometric studies of the rotation of mental images. Visual information processing 1973, 75-176. Chase W G, Ed, New York, Academic Press
16. Davies C, Uttal D H. Map use and the development of spatial cognition. The emerging spatial mind 2007, 219-247. Plumert J, Spencer J. Eds, New York, Oxford University Press
17. Dehaene S. The number sense 1997, New York, Oxford University Press
18. Dehaene S, Izard V, Pica P, Spelke E. Core knowledge of geometry in an Amazonian indigene group. Science 2006, 311:381-384.
19. DeLoache J S. Rapid change in the symbolic functioning of very young children. Science 1987, 238:1556-1557.
20. DeLoache J S, Strauss M S, Maynard J. Picture perception in infancy. Infant Behavior and Development 1979, 2:77-89.
21. DeLoache J S, Uttal D H, Rosengren K S. Scale errors offer evidence for a perception-action dissociation early in life. Science 2004, 304:1029-1047.
22. Descartes R. The optics. Discourse on method, optics, geometry and meteorology 1637/2001, Olscamp P J. Ed. and Trans, Indianapolis, Hackett
23. Dessalegn B, Landau B. More than meets the eye: The role of language in binding and maintaining feature conjunctions. Psychological Science 2008, 19:189-195.
24. Dirks J, Gibson E. Infants' perception of similarity between live people and their photographs. Child Development 1977, 48:124-130.
25. Doeller C F, Burgess N. Distinct error-correcting and incidental learning of location relative to landmarks and boundaries. Proceedings of the National Academy of Sciences 2008, 105:5909-5914.
26. Doeller C F, King J A, Burgess N. Parallel striatal and hippocampal systems for landmarks and boundaries in spatial memory. Proceedings of the National Academy of Sciences 2008, 105:5915-5920.
27. Emlen S. Celestial rotation: Its importance in the development of migratory orientation. Science 1970, 170:1198-1201.
28. Epstein R A. Parahippocampal and retrosplenial contributions to human spatial navigation. Trends in Cognitive Sciences 2008, 12:388-396.
29. Epstein R A, Kanwisher N. A cortical representation of the local visual environment. Nature 1998, 392:598-601.
30. Feigenson L, Dehaene S, Spelke E S. Core systems of number. Trends in Cognitive Sciences 2004, 8:307-314.
31. Foo P, Duchon A, Warren W H, Tarr M J. Humans do not switch between path knowledge and landmarks when learning a new environment. Psychological Research 2007, 71:240-251.
32. Foo P, Warren W H, Duchon A, Tarr M J. Do humans integrate routes into a cognitive map? Map- versus landmark-based navigation of novel shortcuts. Journal of Experimental Psychology: Learning, Memory, and Cognition 2005, 31:195-215.
33. Frank M C, Everett D L, Fedorenko E, Gibson E. Number as a cognitive technology: Evidence from Pirahã language and cognition. Cognition 2008, 108:819-824.
34. Gallistel C R. The organization of learning 1990, Cambridge, MA, MIT Press
35. Gee A P, Chekhlov D, Calway A, Mayol-Cuevas W. Discovering higher level structure in visual SLAM. IEEE Transactions on Robotics 2008, 24:980-990.
36. Gibson E J. Principles of perceptual learning and development 1969, New York, Appleton-Century-Crofts
37. Golledge R G. Behavioral geography and the theoretical/quantitative revolution. Geographical Analysis 2008, 40:239-257.
38. Goodale M A, Milner A D. Separate visual pathways for perception and action. Trends in Neuroscience 1992, 15:20-25.
39. Gordon P. Numerical cognition without words: Evidence from Amazonia. Science 2004, 306:496-499.
40. Gould J L. The locale map of honeybees: Do insects have cognitive maps? Science 1986, 232:861-863.
41. Gouteux S, Spelke E S. Children's use of geometry and landmarks to reorient in an open space. Cognition 2001, 81:119-148.
42. Grill-Spector K, Golarai G, Gabrieli J. Developmental neuroimaging of the human ventral visual cortex. Trends in Cognitive Science 2008, 12:152-162.
43. Hagen M A. The perception of pictures 1980, New York, Academic Press
44. Hatfield G. The natural and the normative: Theories of spatial perception from Kant to Helmholtz 1990, Cambridge, MA, MIT Press
45. Helmholtz H ron. Treatise on physiological optics, Vol. 3 1885/1962, J. P. C. Southall, Trans, New York, Optical Society of America
46. Hermer L, Spelke E. A geometric process for spatial reorientation in young children. Nature 1994, 370:57-59.
47. Hochberg J, Brooks V. Pictorial recognition as an unlearned ability: A study of one child's performance. American Journal of Psychology 1962, 75:624-628.
48. Hupbach A, Nadel L. Reorientation in a rhombic environment: No evidence for an encapsulated geometric module. Cognitive Development 2005, 20:279-302.
49. Huttenlocher J, Lourenco S F. Coding location in enclosed spaces: Is geometry the principle? Developmental Science 2007, 10:741-746.
50. Huttenlocher J, Newcombe N, Vasilyeva M. Spatial scaling in young children. Psychological Science 1999, 10:393-398.
51. Huttenlocher J, Vasilyeva M, Newcombe N, Duffy S. Developing symbolic capacities one step at a time. Cognition 2008, 106:1-12.
52. Izard V, Spelke E S. Development of sensitivity to geometry in visual forms. Human Evolution 2009, 23:213-248.
53. Kant I. Critique of pure reason 1781/2003, J. M. D. Meiklejohn, Trans, Mineola, NY, Dover
54. Klein F C. A comparative review of recent researches in geometry. Bulletin of the New York Mathematical Society 1893, 2:215-249.
55. Kline M. Mathematical thought from ancient to modern times 1972, New York, Oxford University Press
56. Kourtzi Z, Kanwisher N. Representation of perceived object shape by the human lateral occipital complex. Science 2001, 293:1506-1509.
57. Kriegeskorte N, Mur M, Ruff D A, Kiani R, Bodurka J, Esteky H, Tanaka K, Bandettini P A. Matching categorical object representations in inferior temporal cortex of man and monkey. Neuron 2008, 60:1126-1141.
58. Landau B, Gleitman H, Spelke E. Spatial knowledge and geometric representation in a child blind from birth. Science 1981, 213:1275-1278.
59. Landau B, Jackendoff R. "What" and "where" in spatial language and spatial cognition. Behavioral and Brain Sciences 1993, 16:217-265.
60. Landau B, Lakusta L. Spatial representation across species: Geometry, language, and maps. Current Opinion in Neurobiology 2009, 19:12-19.
61. Landau B, Spelke E S. Geometric complexity and object search in infancy. Developmental Psychology 1988, 24:512-521.
62. Lee S A, Shusterman S, Spelke E S. Reorientation and landmark-guided search by young children: Evidence for two systems. Psychological Science 2006, 17:577-582.
63. Lee S A, Spelke E S. Children's use of geometry for reorientation. Developmental Science 2008, 11:743-749.
64. Lever C, Wills T, Cacucci F, Burgess N, O'Keefe J. Long-term plasticity in hippocampal place-cell representation of environmental geometry. Nature 2002, 416:90-94.
65. Loomis J M, Klatzky R L, Golledge R G, Philbeck J W. Human navigation by path integration. Wayfinding: Cognitive mapping and other spatial processes 1999, 125-151. Golledge R G, Ed, Baltimore, MD, Johns Hopkins
66. Lourenco S, Addy D, Huttenlocher J. Location representation in enclosed spaces: What types of information afford young children an advantage? Journal of Experimental Child Psychology 2009, 104:313-325.
67. Lourenco S F, Huttenlocher J. How do young children determine location? Evidence from disorientation tasks. Cognition 2006, 100:511-529.
68. Lourenco S F, Huttenlocher J. The representation of geometric cues in infancy. Infancy 2008, 13:103-127.
69. Mandler J M, McDonough L. Drinking and driving don't mix: Inductive generalization in infancy. Cognition 1996, 59:307-335.
70. Marr D. Vision 1982, New York, W. H. Freeman & Co
71. Milford M J, Wyeth G F. Mapping a suburb with a single camera using a biologically inspired SLAM system. IEEE Transactions on Robotics 2008, 24:1552-3098.
72. Mishkin M, Ungerleider L G, Macko K A. Object vision and spatial vision: Two cortical pathways. Trends in Neuroscience 1983, 6:414-417.
73. Moore D S, Johnson S P. Mental rotation in young infants: A sex difference. Psychological Science 2008, 19:1063-1066.
74. Nardini M, Atkinson J, Burgess N. Children reorient using the left/right sense of coloured landmarks at 18--24 months. Cognition 2008, 106:519-527.
75. Newcombe N S, Huttenlocher J, Learmonth A E. Infants' coding of location in continuous space. Infant Behavior and Development 1999, 22:483-510.
76. Newcombe N S, Ratliff K R. Explaining the development of spatial reorientation: Modularity-plus-language versus the emergence of adaptive combination. The emerging spatial mind 2007, 53-76. Plumert J, Spencer J. Eds, New York, Oxford University Press
77. O'Keefe J, Nadel L. The hippocampus as a cognitive map 1978, Oxford, England, Clarendon Press
78. Piaget J. The origins of intelligence in children 1952, New York, International Universities Press
79. Pica P, Lemer C, Izard V, Dehaene S. Exact and approximate arithmetic in an Amazonian indigene group. Science 2004, 306:499-503.
80. Meno ca. 380 B.C./1949, (B. Jowett, Trans.). Indianpolis, Bobbs-Merrill
81. Quinn P C, Liben L S. A sex difference in mental rotation in young infants. Psychological Science 2008, 19:1067-1070.
82. Quirk G J, Muller R U, Kubie J L. The firing of hippocampal place cells in the dark depends on the rat's recent experience. Journal of Neuroscience 1990, 6:2008-2017.
83. Rakison D H. Parts, categorization, and the animate-inanimate distinction in infancy. Early category and concept development: Making sense of the blooming buzzing confusion 2003, 159-192. Rakison D HOakes L M. Eds, New York, Oxford University Press
84. Reddy L, Kanwisher N. Coding of visual objects in the ventral stream. Current Opinion in Neurobiology 2006, 16:408-414.
85. Restle F. Discrimination of cues in mazes: A resolution of the place vs. response question. Psychological Review 1957, 64:217-228.
86. Riesenhuber M, Poggio T. Models of object recognition. Nature Neuroscience 2000, 3:1199-1204.
87. Rieser J J, Hill E W, Taylor C R. Visual experience, visual field size, and the development of non visual sensitivity to the spatial structure of outdoor neighborhoods explored by walking. Journal of Experimental Psychology: General 1992, 121:210-221.
88. Schwartz M, Day R H. Visual shape perception in early infancy. Monographs of the Society for Research in Child Development 1979, 44:1-63.
89. Shusterman A B, Lee S A, Spelke E S. Young children's spontaneous use of geometry in maps. Developmental Science 2008, 11:F1-F7.
90. Shusterman A, Spelke E. Language and the development of spatial reasoning. The structure of the innate mind 2005, 89-106. Carruthers P, Laurence SStich S. Eds, New York, Oxford University Press
91. Silveira G, Malis E, Rives P. An efficient direct approach to visual SLAM. IEEE Transactions on Robotics 2008, 24:969-979.
92. Slater A, Mattock A, Brown E, Bremner J G. Form perception at birth: Cohen and Younger (1984) revisited. Journal of Experimental Child Psychology 1991, 51:395-406.
93. Smith L B, Jones S S, Landau B, Gershkoff-Stowe L, Samuelson S. Early noun learning provides on-the-job training for attention. Psychological Science 2002, 13:13-19.
94. Solstad T, Boccara C N, Kropff E, Moser M, Moser E I. Representation of geometric borders in the entorhinal cortex. Science 2008, 322:1865-1868.
95. Spencer J P, Hund A M. Developmental continuity in the processes that underlie spatial recall. Cognitive Psychology 2003, 47:432-480.
96. Spencer J P, Smith L B, Thelen E. Tests of a dynamic systems account of the A-not-B error: The influence of prior experience on the spatial memory abilities of 2-year-olds. Child Development 2001, 72:1327-1346.
97. Tanaka K. Inferotemporal cortex and object vision. Annual Reviews of Neuroscience 1996, 19:109-139.
98. Tolman E C. Cognitive maps in rats and man. Psychological Review 1948, 55:189-208.
99. Twyman A D, Newcombe N S, Gould T G. Of mice (Mus musculus) and toddlers (Homo sapiens): Evidence for species-general spatial reorientation. Journal of Comparative Psychology 2009, 123:342-345.
100. Varley R, Klessinger N, Romanowski C, Siegal M. Agrammatic but numerate. Proceedings of the National Academy of Sciences 2005, 102:3519-3527.
101. Vasilyeva M, Bowers E. Children's use of geometric information in mapping tasks. Journal of Experimental Child Psychology 2006, 95:255-277.
102. Vasilyeva M, Huttenlocher J. Early development of scaling ability. Developmental Psychology 2004, 40:682-690.
103. Warrington E K, Taylor A M. Two categorical stages of object recognition. Perception 1978, 7:695-705.
104. Wehner R, Menzel R. Do insects have cognitive maps? Annual Review of Neuroscience 1990, 13:403-414.
105. Wynn K. Children's understanding of counting. Cognition 1990, 36:155-193.
106. Wystrach A, Beugnon G. Ants learn geometry and features. Current Biology 2009, 19:61-66.
107. Yamane Y, Carlson E T, Bowman K C, Wang Z, Connor C E. A neural code for three-dimensional object shape in macaque inferotemporal cortex. Nature Neuroscience 2008, 11:1352-1360.