Concept image and concept definition in mathematics with particular reference to limits and continuity View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1981-05

AUTHORS

David Tall, Shlomo Vinner

ABSTRACT

The concept image consists of all the cognitive structure in the individual's mind that is associated with a given concept. This may not be globally coherent and may have aspects which are quite different from the formal concept definition. The development of limits and continuity, as taught in secondary school and university, are considered. Various investigations are reported which demonstrate individual concept images differing from the formal theory and containing factors which cause cognitive conflict. More... »

PAGES

151-169

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf00305619

DOI

http://dx.doi.org/10.1007/bf00305619

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1012824368


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"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Hebrew University of Jerusalem", 
          "id": "https://www.grid.ac/institutes/grid.9619.7", 
          "name": [
            "Mathematics Education Research Centre, University of Warwick, UK", 
            "Israel Science Teaching Center, Hebrew University, Israel"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Tall", 
        "givenName": "David", 
        "id": "sg:person.015534325631.51", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015534325631.51"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Hebrew University of Jerusalem", 
          "id": "https://www.grid.ac/institutes/grid.9619.7", 
          "name": [
            "Mathematics Education Research Centre, University of Warwick, UK", 
            "Israel Science Teaching Center, Hebrew University, Israel"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Vinner", 
        "givenName": "Shlomo", 
        "id": "sg:person.011654501175.76", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011654501175.76"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "1981-05", 
    "datePublishedReg": "1981-05-01", 
    "description": "The concept image consists of all the cognitive structure in the individual's mind that is associated with a given concept. This may not be globally coherent and may have aspects which are quite different from the formal concept definition. The development of limits and continuity, as taught in secondary school and university, are considered. Various investigations are reported which demonstrate individual concept images differing from the formal theory and containing factors which cause cognitive conflict.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/bf00305619", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1136108", 
        "issn": [
          "0013-1954", 
          "1573-0816"
        ], 
        "name": "Educational Studies in Mathematics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "2", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "12"
      }
    ], 
    "name": "Concept image and concept definition in mathematics with particular reference to limits and continuity", 
    "pagination": "151-169", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf00305619"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "3d18111dba2b08fb0072c5434ae431f800b7c982e3b0b127dabc31aeb0dc0563"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1012824368"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf00305619", 
      "https://app.dimensions.ai/details/publication/pub.1012824368"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-15T08:52", 
    "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/v90/0000000374_0000000374/records_119746_00000000.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/BF00305619"
  }
]
 

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.10.1007/bf00305619'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/bf00305619'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf00305619'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf00305619'


 

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

69 TRIPLES      20 PREDICATES      27 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf00305619 schema:about anzsrc-for:17
2 anzsrc-for:1701
3 schema:author N5d3112c4d14c4bf6965c9bb0f5aba95c
4 schema:datePublished 1981-05
5 schema:datePublishedReg 1981-05-01
6 schema:description The concept image consists of all the cognitive structure in the individual's mind that is associated with a given concept. This may not be globally coherent and may have aspects which are quite different from the formal concept definition. The development of limits and continuity, as taught in secondary school and university, are considered. Various investigations are reported which demonstrate individual concept images differing from the formal theory and containing factors which cause cognitive conflict.
7 schema:genre research_article
8 schema:inLanguage en
9 schema:isAccessibleForFree true
10 schema:isPartOf N74ce5a6430f141f985d006b153a7a75a
11 Ne1d82e09d804418289399a392b4aed2e
12 sg:journal.1136108
13 schema:name Concept image and concept definition in mathematics with particular reference to limits and continuity
14 schema:pagination 151-169
15 schema:productId N1e3ddbbc5ecb43d3a0362b0ccfe4f375
16 N84341a227efa4ea5bc7c73272dd5d23b
17 N8f2981322f954b259287fc07603992ec
18 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012824368
19 https://doi.org/10.1007/bf00305619
20 schema:sdDatePublished 2019-04-15T08:52
21 schema:sdLicense https://scigraph.springernature.com/explorer/license/
22 schema:sdPublisher Na8bc47a3cb98425881a8e1a505b3ed15
23 schema:url http://link.springer.com/10.1007/BF00305619
24 sgo:license sg:explorer/license/
25 sgo:sdDataset articles
26 rdf:type schema:ScholarlyArticle
27 N1e3ddbbc5ecb43d3a0362b0ccfe4f375 schema:name readcube_id
28 schema:value 3d18111dba2b08fb0072c5434ae431f800b7c982e3b0b127dabc31aeb0dc0563
29 rdf:type schema:PropertyValue
30 N5d3112c4d14c4bf6965c9bb0f5aba95c rdf:first sg:person.015534325631.51
31 rdf:rest Nb427c8f8bca146f689a30fccb850cdd4
32 N74ce5a6430f141f985d006b153a7a75a schema:issueNumber 2
33 rdf:type schema:PublicationIssue
34 N84341a227efa4ea5bc7c73272dd5d23b schema:name dimensions_id
35 schema:value pub.1012824368
36 rdf:type schema:PropertyValue
37 N8f2981322f954b259287fc07603992ec schema:name doi
38 schema:value 10.1007/bf00305619
39 rdf:type schema:PropertyValue
40 Na8bc47a3cb98425881a8e1a505b3ed15 schema:name Springer Nature - SN SciGraph project
41 rdf:type schema:Organization
42 Nb427c8f8bca146f689a30fccb850cdd4 rdf:first sg:person.011654501175.76
43 rdf:rest rdf:nil
44 Ne1d82e09d804418289399a392b4aed2e schema:volumeNumber 12
45 rdf:type schema:PublicationVolume
46 anzsrc-for:17 schema:inDefinedTermSet anzsrc-for:
47 schema:name Psychology and Cognitive Sciences
48 rdf:type schema:DefinedTerm
49 anzsrc-for:1701 schema:inDefinedTermSet anzsrc-for:
50 schema:name Psychology
51 rdf:type schema:DefinedTerm
52 sg:journal.1136108 schema:issn 0013-1954
53 1573-0816
54 schema:name Educational Studies in Mathematics
55 rdf:type schema:Periodical
56 sg:person.011654501175.76 schema:affiliation https://www.grid.ac/institutes/grid.9619.7
57 schema:familyName Vinner
58 schema:givenName Shlomo
59 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011654501175.76
60 rdf:type schema:Person
61 sg:person.015534325631.51 schema:affiliation https://www.grid.ac/institutes/grid.9619.7
62 schema:familyName Tall
63 schema:givenName David
64 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015534325631.51
65 rdf:type schema:Person
66 https://www.grid.ac/institutes/grid.9619.7 schema:alternateName Hebrew University of Jerusalem
67 schema:name Israel Science Teaching Center, Hebrew University, Israel
68 Mathematics Education Research Centre, University of Warwick, UK
69 rdf:type schema:Organization
 




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


...