Moving along the number line: Operational momentum in nonsymbolic arithmetic View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2007-11

AUTHORS

Koleen McCrink, Stanislas Dehaene, Ghislaine Dehaene-Lambertz

ABSTRACT

Can human adults perform arithmetic operations with large approximate numbers, and what effect, if any, does an internal spatial-numerical representation of numerical magnitude have on their responses? We conducted a psychophysical study in which subjects viewed several hundred short videos of sets of objects being added or subtracted from one another and judged whether the final numerosity was correct or incorrect. Over a wide range of possible outcomes, the subjects' responses peaked at the approximate location of the true numerical outcome and gradually tapered off as a function of the ratio of the true and proposed outcomes (Weber's law). Furthermore, an operational momentum effect was observed, whereby addition problems were overestimated and subtraction problems were underestimated. The results show that approximate arithmetic operates according to precise quantitative rules, perhaps analogous to those characterizing movement on an internal continuum. More... »

PAGES

1324-1333

Identifiers

URI

http://scigraph.springernature.com/pub.10.3758/bf03192949

DOI

http://dx.doi.org/10.3758/bf03192949

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1024651690

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/18078224


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/1701", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Psychology", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/17", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Psychology and Cognitive Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Adult", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Fixation, Ocular", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Humans", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Models, Psychological", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Motion Perception", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Symbolism", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Videotape Recording", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Harvard University", 
          "id": "https://www.grid.ac/institutes/grid.38142.3c", 
          "name": [
            "Department of Psychology, Harvard University, 33 Kirkland St., 02138, Cambridge, MA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "McCrink", 
        "givenName": "Koleen", 
        "id": "sg:person.0760443166.52", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0760443166.52"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Coll\u00e8ge de France", 
          "id": "https://www.grid.ac/institutes/grid.410533.0", 
          "name": [
            "INSERM-CEA Cognitive Neuroimaging Unit, Orsay, France", 
            "Coll\u00e8ge de France, Paris, France"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Dehaene", 
        "givenName": "Stanislas", 
        "id": "sg:person.0744431461.93", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0744431461.93"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Cognitive Neuroimaging Unit", 
          "id": "https://www.grid.ac/institutes/grid.462692.d", 
          "name": [
            "INSERM-CEA Cognitive Neuroimaging Unit, Orsay, France"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Dehaene-Lambertz", 
        "givenName": "Ghislaine", 
        "id": "sg:person.01335303442.33", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01335303442.33"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.3758/bf03196206", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000203552", 
          "https://doi.org/10.3758/bf03196206"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1038/358749a0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000753446", 
          "https://doi.org/10.1038/358749a0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0010-0277(92)90049-n", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006814229"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1038/nrn1684", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1008250215", 
          "https://doi.org/10.1038/nrn1684"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1038/nrn1684", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1008250215", 
          "https://doi.org/10.1038/nrn1684"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1038/nrn1684", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1008250215", 
          "https://doi.org/10.1038/nrn1684"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1111/1467-9280.02438", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009193796"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1111/1467-9280.02438", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009193796"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1073/pnas.0505512102", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1010976779"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1038/417138a", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015465256", 
          "https://doi.org/10.1038/417138a"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1038/417138a", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015465256", 
          "https://doi.org/10.1038/417138a"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cognition.2004.09.011", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015549683"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1037/h0028573", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018571846"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1037/0278-7393.16.6.1107", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1019949054"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0010-0277(02)00178-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022330053"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0010-0277(02)00178-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022330053"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0010-0277(92)90050-r", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024259447"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.3758/bf03196775", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1025333242", 
          "https://doi.org/10.3758/bf03196775"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.tics.2004.05.002", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026002843"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1111/1467-9280.00342", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026291462"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1111/1467-9280.00342", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026291462"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1038/nn1066", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027274074", 
          "https://doi.org/10.1038/nn1066"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1038/nn1066", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027274074", 
          "https://doi.org/10.1038/nn1066"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/02643290244000239", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029504554"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0896-6273(02)01144-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029548182"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cognition.2004.09.004", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030283323"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1037/0033-295x.94.4.427", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030569895"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.neuropsychologia.2004.03.003", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033203610"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1126/science.1102085", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033854734"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.3758/bf03202334", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035282811", 
          "https://doi.org/10.3758/bf03202334"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0023-9690(71)90020-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035824184"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1111/1467-9280.00120", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037068967"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1111/1467-9280.00120", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037068967"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1111/j.0956-7976.2004.00755.x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1039392962"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1111/j.0956-7976.2004.00755.x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1039392962"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0028-3932(91)90076-k", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041005480"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1098/rspb.2003.2356", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041548674"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1201/9780203009574.ch6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041780984"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.3758/bf03204275", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044520830", 
          "https://doi.org/10.3758/bf03204275"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1037/0097-7403.9.3.320", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044658027"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0010-0277(99)00066-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1045471172"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1111/1467-9280.00343", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046012647"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1111/1467-9280.00343", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046012647"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1037/0278-7393.10.1.126", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1048365690"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s1364-6613(03)00055-x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050713477"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s1364-6613(03)00055-x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050713477"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0028-3932(03)00123-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1052898041"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0028-3932(03)00123-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1052898041"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1111/1467-9280.01453", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053458273"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1111/1467-9280.01453", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053458273"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1037/0096-3445.122.3.371", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1056368334"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1068/p5093", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058164700"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1068/p5093", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058164700"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1126/science.284.5416.970", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062565177"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2007-11", 
    "datePublishedReg": "2007-11-01", 
    "description": "Can human adults perform arithmetic operations with large approximate numbers, and what effect, if any, does an internal spatial-numerical representation of numerical magnitude have on their responses? We conducted a psychophysical study in which subjects viewed several hundred short videos of sets of objects being added or subtracted from one another and judged whether the final numerosity was correct or incorrect. Over a wide range of possible outcomes, the subjects' responses peaked at the approximate location of the true numerical outcome and gradually tapered off as a function of the ratio of the true and proposed outcomes (Weber's law). Furthermore, an operational momentum effect was observed, whereby addition problems were overestimated and subtraction problems were underestimated. The results show that approximate arithmetic operates according to precise quantitative rules, perhaps analogous to those characterizing movement on an internal continuum.", 
    "genre": "research_article", 
    "id": "sg:pub.10.3758/bf03192949", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1041037", 
        "issn": [
          "1943-3921", 
          "1943-393X"
        ], 
        "name": "Attention, Perception, & Psychophysics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "8", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "69"
      }
    ], 
    "name": "Moving along the number line: Operational momentum in nonsymbolic arithmetic", 
    "pagination": "1324-1333", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "7570ffa1c4e3c3aedfd9fc073be67b855735ba2176b96aaff64d612b98d31937"
        ]
      }, 
      {
        "name": "pubmed_id", 
        "type": "PropertyValue", 
        "value": [
          "18078224"
        ]
      }, 
      {
        "name": "nlm_unique_id", 
        "type": "PropertyValue", 
        "value": [
          "0200445"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.3758/bf03192949"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1024651690"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.3758/bf03192949", 
      "https://app.dimensions.ai/details/publication/pub.1024651690"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T19:55", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8681_00000505.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.3758/BF03192949"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.3758/bf03192949'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.3758/bf03192949'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.3758/bf03192949'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.3758/bf03192949'


 

This table displays all metadata directly associated to this object as RDF triples.

250 TRIPLES      21 PREDICATES      77 URIs      29 LITERALS      17 BLANK NODES

Subject Predicate Object
1 sg:pub.10.3758/bf03192949 schema:about N0713272717db43f484b229df1966b5ca
2 N21c56478fc974375b43095c633043303
3 N2217c084923049b1ba4b0031a2e1ff54
4 N3284316e633f446791cecd12dde89c2a
5 N346d20136b684ad9a416fd31384a5ba5
6 N3cff3e9749e646b1813ec532f7def008
7 Nac3e7a2be0cc4d018d5434b536a01e26
8 Nf77cb13711964ac899642d053f7dd669
9 anzsrc-for:17
10 anzsrc-for:1701
11 schema:author N6e5a6ba8fad045e2a2145423f4b32539
12 schema:citation sg:pub.10.1038/358749a0
13 sg:pub.10.1038/417138a
14 sg:pub.10.1038/nn1066
15 sg:pub.10.1038/nrn1684
16 sg:pub.10.3758/bf03196206
17 sg:pub.10.3758/bf03196775
18 sg:pub.10.3758/bf03202334
19 sg:pub.10.3758/bf03204275
20 https://doi.org/10.1016/0010-0277(92)90049-n
21 https://doi.org/10.1016/0010-0277(92)90050-r
22 https://doi.org/10.1016/0023-9690(71)90020-8
23 https://doi.org/10.1016/0028-3932(91)90076-k
24 https://doi.org/10.1016/j.cognition.2004.09.004
25 https://doi.org/10.1016/j.cognition.2004.09.011
26 https://doi.org/10.1016/j.neuropsychologia.2004.03.003
27 https://doi.org/10.1016/j.tics.2004.05.002
28 https://doi.org/10.1016/s0010-0277(02)00178-6
29 https://doi.org/10.1016/s0010-0277(99)00066-9
30 https://doi.org/10.1016/s0028-3932(03)00123-4
31 https://doi.org/10.1016/s0896-6273(02)01144-3
32 https://doi.org/10.1016/s1364-6613(03)00055-x
33 https://doi.org/10.1037/0033-295x.94.4.427
34 https://doi.org/10.1037/0096-3445.122.3.371
35 https://doi.org/10.1037/0097-7403.9.3.320
36 https://doi.org/10.1037/0278-7393.10.1.126
37 https://doi.org/10.1037/0278-7393.16.6.1107
38 https://doi.org/10.1037/h0028573
39 https://doi.org/10.1068/p5093
40 https://doi.org/10.1073/pnas.0505512102
41 https://doi.org/10.1080/02643290244000239
42 https://doi.org/10.1098/rspb.2003.2356
43 https://doi.org/10.1111/1467-9280.00120
44 https://doi.org/10.1111/1467-9280.00342
45 https://doi.org/10.1111/1467-9280.00343
46 https://doi.org/10.1111/1467-9280.01453
47 https://doi.org/10.1111/1467-9280.02438
48 https://doi.org/10.1111/j.0956-7976.2004.00755.x
49 https://doi.org/10.1126/science.1102085
50 https://doi.org/10.1126/science.284.5416.970
51 https://doi.org/10.1201/9780203009574.ch6
52 schema:datePublished 2007-11
53 schema:datePublishedReg 2007-11-01
54 schema:description Can human adults perform arithmetic operations with large approximate numbers, and what effect, if any, does an internal spatial-numerical representation of numerical magnitude have on their responses? We conducted a psychophysical study in which subjects viewed several hundred short videos of sets of objects being added or subtracted from one another and judged whether the final numerosity was correct or incorrect. Over a wide range of possible outcomes, the subjects' responses peaked at the approximate location of the true numerical outcome and gradually tapered off as a function of the ratio of the true and proposed outcomes (Weber's law). Furthermore, an operational momentum effect was observed, whereby addition problems were overestimated and subtraction problems were underestimated. The results show that approximate arithmetic operates according to precise quantitative rules, perhaps analogous to those characterizing movement on an internal continuum.
55 schema:genre research_article
56 schema:inLanguage en
57 schema:isAccessibleForFree true
58 schema:isPartOf N0fc81603e1864869bee8a9416919c7ed
59 N79ad97b1c71e496fb7d8a71a25591084
60 sg:journal.1041037
61 schema:name Moving along the number line: Operational momentum in nonsymbolic arithmetic
62 schema:pagination 1324-1333
63 schema:productId N306b25232fc44d33babcd1fd321821cf
64 N3955bf5d68ba491bb1e09816c483ce9a
65 Nad7b2864ad3d42d59cbb84ad3b304110
66 Nb5e0eab91f054e7599c4a36024511745
67 Ndfbaafeadf8f4f4ab221040620652a15
68 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024651690
69 https://doi.org/10.3758/bf03192949
70 schema:sdDatePublished 2019-04-10T19:55
71 schema:sdLicense https://scigraph.springernature.com/explorer/license/
72 schema:sdPublisher N45956a5f996841cf9f0910117f1033a6
73 schema:url http://link.springer.com/10.3758/BF03192949
74 sgo:license sg:explorer/license/
75 sgo:sdDataset articles
76 rdf:type schema:ScholarlyArticle
77 N0713272717db43f484b229df1966b5ca schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
78 schema:name Mathematics
79 rdf:type schema:DefinedTerm
80 N0fc81603e1864869bee8a9416919c7ed schema:issueNumber 8
81 rdf:type schema:PublicationIssue
82 N21c56478fc974375b43095c633043303 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
83 schema:name Models, Psychological
84 rdf:type schema:DefinedTerm
85 N2217c084923049b1ba4b0031a2e1ff54 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
86 schema:name Motion Perception
87 rdf:type schema:DefinedTerm
88 N306b25232fc44d33babcd1fd321821cf schema:name pubmed_id
89 schema:value 18078224
90 rdf:type schema:PropertyValue
91 N3284316e633f446791cecd12dde89c2a schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
92 schema:name Fixation, Ocular
93 rdf:type schema:DefinedTerm
94 N346d20136b684ad9a416fd31384a5ba5 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
95 schema:name Videotape Recording
96 rdf:type schema:DefinedTerm
97 N3955bf5d68ba491bb1e09816c483ce9a schema:name doi
98 schema:value 10.3758/bf03192949
99 rdf:type schema:PropertyValue
100 N39d32c1528ab4cdbb9265483b107c59a rdf:first sg:person.0744431461.93
101 rdf:rest N5c905068f4564168ba315fd6daf5b00b
102 N3cff3e9749e646b1813ec532f7def008 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
103 schema:name Humans
104 rdf:type schema:DefinedTerm
105 N45956a5f996841cf9f0910117f1033a6 schema:name Springer Nature - SN SciGraph project
106 rdf:type schema:Organization
107 N5c905068f4564168ba315fd6daf5b00b rdf:first sg:person.01335303442.33
108 rdf:rest rdf:nil
109 N6e5a6ba8fad045e2a2145423f4b32539 rdf:first sg:person.0760443166.52
110 rdf:rest N39d32c1528ab4cdbb9265483b107c59a
111 N79ad97b1c71e496fb7d8a71a25591084 schema:volumeNumber 69
112 rdf:type schema:PublicationVolume
113 Nac3e7a2be0cc4d018d5434b536a01e26 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
114 schema:name Symbolism
115 rdf:type schema:DefinedTerm
116 Nad7b2864ad3d42d59cbb84ad3b304110 schema:name nlm_unique_id
117 schema:value 0200445
118 rdf:type schema:PropertyValue
119 Nb5e0eab91f054e7599c4a36024511745 schema:name dimensions_id
120 schema:value pub.1024651690
121 rdf:type schema:PropertyValue
122 Ndfbaafeadf8f4f4ab221040620652a15 schema:name readcube_id
123 schema:value 7570ffa1c4e3c3aedfd9fc073be67b855735ba2176b96aaff64d612b98d31937
124 rdf:type schema:PropertyValue
125 Nf77cb13711964ac899642d053f7dd669 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
126 schema:name Adult
127 rdf:type schema:DefinedTerm
128 anzsrc-for:17 schema:inDefinedTermSet anzsrc-for:
129 schema:name Psychology and Cognitive Sciences
130 rdf:type schema:DefinedTerm
131 anzsrc-for:1701 schema:inDefinedTermSet anzsrc-for:
132 schema:name Psychology
133 rdf:type schema:DefinedTerm
134 sg:journal.1041037 schema:issn 1943-3921
135 1943-393X
136 schema:name Attention, Perception, & Psychophysics
137 rdf:type schema:Periodical
138 sg:person.01335303442.33 schema:affiliation https://www.grid.ac/institutes/grid.462692.d
139 schema:familyName Dehaene-Lambertz
140 schema:givenName Ghislaine
141 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01335303442.33
142 rdf:type schema:Person
143 sg:person.0744431461.93 schema:affiliation https://www.grid.ac/institutes/grid.410533.0
144 schema:familyName Dehaene
145 schema:givenName Stanislas
146 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0744431461.93
147 rdf:type schema:Person
148 sg:person.0760443166.52 schema:affiliation https://www.grid.ac/institutes/grid.38142.3c
149 schema:familyName McCrink
150 schema:givenName Koleen
151 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0760443166.52
152 rdf:type schema:Person
153 sg:pub.10.1038/358749a0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000753446
154 https://doi.org/10.1038/358749a0
155 rdf:type schema:CreativeWork
156 sg:pub.10.1038/417138a schema:sameAs https://app.dimensions.ai/details/publication/pub.1015465256
157 https://doi.org/10.1038/417138a
158 rdf:type schema:CreativeWork
159 sg:pub.10.1038/nn1066 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027274074
160 https://doi.org/10.1038/nn1066
161 rdf:type schema:CreativeWork
162 sg:pub.10.1038/nrn1684 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008250215
163 https://doi.org/10.1038/nrn1684
164 rdf:type schema:CreativeWork
165 sg:pub.10.3758/bf03196206 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000203552
166 https://doi.org/10.3758/bf03196206
167 rdf:type schema:CreativeWork
168 sg:pub.10.3758/bf03196775 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025333242
169 https://doi.org/10.3758/bf03196775
170 rdf:type schema:CreativeWork
171 sg:pub.10.3758/bf03202334 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035282811
172 https://doi.org/10.3758/bf03202334
173 rdf:type schema:CreativeWork
174 sg:pub.10.3758/bf03204275 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044520830
175 https://doi.org/10.3758/bf03204275
176 rdf:type schema:CreativeWork
177 https://doi.org/10.1016/0010-0277(92)90049-n schema:sameAs https://app.dimensions.ai/details/publication/pub.1006814229
178 rdf:type schema:CreativeWork
179 https://doi.org/10.1016/0010-0277(92)90050-r schema:sameAs https://app.dimensions.ai/details/publication/pub.1024259447
180 rdf:type schema:CreativeWork
181 https://doi.org/10.1016/0023-9690(71)90020-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035824184
182 rdf:type schema:CreativeWork
183 https://doi.org/10.1016/0028-3932(91)90076-k schema:sameAs https://app.dimensions.ai/details/publication/pub.1041005480
184 rdf:type schema:CreativeWork
185 https://doi.org/10.1016/j.cognition.2004.09.004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030283323
186 rdf:type schema:CreativeWork
187 https://doi.org/10.1016/j.cognition.2004.09.011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015549683
188 rdf:type schema:CreativeWork
189 https://doi.org/10.1016/j.neuropsychologia.2004.03.003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033203610
190 rdf:type schema:CreativeWork
191 https://doi.org/10.1016/j.tics.2004.05.002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026002843
192 rdf:type schema:CreativeWork
193 https://doi.org/10.1016/s0010-0277(02)00178-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022330053
194 rdf:type schema:CreativeWork
195 https://doi.org/10.1016/s0010-0277(99)00066-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045471172
196 rdf:type schema:CreativeWork
197 https://doi.org/10.1016/s0028-3932(03)00123-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052898041
198 rdf:type schema:CreativeWork
199 https://doi.org/10.1016/s0896-6273(02)01144-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029548182
200 rdf:type schema:CreativeWork
201 https://doi.org/10.1016/s1364-6613(03)00055-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1050713477
202 rdf:type schema:CreativeWork
203 https://doi.org/10.1037/0033-295x.94.4.427 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030569895
204 rdf:type schema:CreativeWork
205 https://doi.org/10.1037/0096-3445.122.3.371 schema:sameAs https://app.dimensions.ai/details/publication/pub.1056368334
206 rdf:type schema:CreativeWork
207 https://doi.org/10.1037/0097-7403.9.3.320 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044658027
208 rdf:type schema:CreativeWork
209 https://doi.org/10.1037/0278-7393.10.1.126 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048365690
210 rdf:type schema:CreativeWork
211 https://doi.org/10.1037/0278-7393.16.6.1107 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019949054
212 rdf:type schema:CreativeWork
213 https://doi.org/10.1037/h0028573 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018571846
214 rdf:type schema:CreativeWork
215 https://doi.org/10.1068/p5093 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058164700
216 rdf:type schema:CreativeWork
217 https://doi.org/10.1073/pnas.0505512102 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010976779
218 rdf:type schema:CreativeWork
219 https://doi.org/10.1080/02643290244000239 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029504554
220 rdf:type schema:CreativeWork
221 https://doi.org/10.1098/rspb.2003.2356 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041548674
222 rdf:type schema:CreativeWork
223 https://doi.org/10.1111/1467-9280.00120 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037068967
224 rdf:type schema:CreativeWork
225 https://doi.org/10.1111/1467-9280.00342 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026291462
226 rdf:type schema:CreativeWork
227 https://doi.org/10.1111/1467-9280.00343 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046012647
228 rdf:type schema:CreativeWork
229 https://doi.org/10.1111/1467-9280.01453 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053458273
230 rdf:type schema:CreativeWork
231 https://doi.org/10.1111/1467-9280.02438 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009193796
232 rdf:type schema:CreativeWork
233 https://doi.org/10.1111/j.0956-7976.2004.00755.x schema:sameAs https://app.dimensions.ai/details/publication/pub.1039392962
234 rdf:type schema:CreativeWork
235 https://doi.org/10.1126/science.1102085 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033854734
236 rdf:type schema:CreativeWork
237 https://doi.org/10.1126/science.284.5416.970 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062565177
238 rdf:type schema:CreativeWork
239 https://doi.org/10.1201/9780203009574.ch6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041780984
240 rdf:type schema:CreativeWork
241 https://www.grid.ac/institutes/grid.38142.3c schema:alternateName Harvard University
242 schema:name Department of Psychology, Harvard University, 33 Kirkland St., 02138, Cambridge, MA
243 rdf:type schema:Organization
244 https://www.grid.ac/institutes/grid.410533.0 schema:alternateName Collège de France
245 schema:name Collège de France, Paris, France
246 INSERM-CEA Cognitive Neuroimaging Unit, Orsay, France
247 rdf:type schema:Organization
248 https://www.grid.ac/institutes/grid.462692.d schema:alternateName Cognitive Neuroimaging Unit
249 schema:name INSERM-CEA Cognitive Neuroimaging Unit, Orsay, France
250 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...