What happens when CAS procedures are objectified?—the case of “solve” and “desolve” View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-05

AUTHORS

Uffe Thomas Jankvist, Morten Misfeldt, Mario Sánchez Aguilar

ABSTRACT

Inspired by the entering of computer algebra systems (CAS) in the Danish upper secondary school mathematics program, this article addresses, from a theoretical stance, what may happen when traditional procedures are outsourced to CAS. Looking at the commands “solve” and “desolve,” it is asked what happens when such CAS procedures are objectified in the students’ minds, and what the nature might be of the resulting “objects.” The theoretical analyses draw on a selection of classical mathematics education frameworks on conceptualization and are related to the research literature on technology in mathematics education. The article suggests the following characteristics as elements of negative effects: loss of distinctive features of concept formation, a consequential reclassification of mathematical objects, instability of CAS solutions as objects, and prevailing a posteriori reasoning on students’ behalf when relying solely on CAS in their mathematical work. More... »

PAGES

1-15

References to SciGraph publications

  • 1994-03. The gains and the pitfalls of reification — The case of algebra in EDUCATIONAL STUDIES IN MATHEMATICS
  • 2013-01. One episode, two lenses in EDUCATIONAL STUDIES IN MATHEMATICS
  • 2018. Instrumental Genesis and Proof: Understanding the Use of Computer Algebra Systems in Proofs in Textbook in USES OF TECHNOLOGY IN PRIMARY AND SECONDARY MATHEMATICS EDUCATION
  • 2002. Reflective Abstraction in Advanced Mathematical Thinking in ADVANCED MATHEMATICAL THINKING
  • 1981-05. Concept image and concept definition in mathematics with particular reference to limits and continuity in EDUCATIONAL STUDIES IN MATHEMATICS
  • 2009. The Future of Teaching and Learning Mathematics with Digital Technologies in MATHEMATICS EDUCATION AND TECHNOLOGY-RETHINKING THE TERRAIN
  • 1998-11. Mathematics and Virtual Culture: an Evolutionary Perspective on Technology and Mathematics Education in EDUCATIONAL STUDIES IN MATHEMATICS
  • 1993. What does to Assess Mean? The Case of Assessing Mathematical Knowledge in INVESTIGATIONS INTO ASSESSMENT IN MATHEMATICS EDUCATION
  • 2005. Calculators in Mathematics Education: A Rapid Evolution of Tools, with Differential Effects in THE DIDACTICAL CHALLENGE OF SYMBOLIC CALCULATORS
  • 2005. An Instrumental Approach to Mathematics Learning in Symbolic Calculator Environments in THE DIDACTICAL CHALLENGE OF SYMBOLIC CALCULATORS
  • 2005. Using Symbolic Calculators to Study Mathematics in THE DIDACTICAL CHALLENGE OF SYMBOLIC CALCULATORS
  • 2005. The Didactical Challenge of Symbolic Calculators, Turning a Computational Device into a Mathematical Instrument in NONE
  • 2001-05. Where do Fractions Encounter their Equivalents? – Can this Encounter Take Place in Elementary-School? in INTERNATIONAL JOURNAL OF COMPUTERS FOR MATHEMATICAL LEARNING
  • 1994-10. On learning fundamental concepts of group theory in EDUCATIONAL STUDIES IN MATHEMATICS
  • 1991-02. On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin in EDUCATIONAL STUDIES IN MATHEMATICS
  • 2014. Introduction to the Anthropological Theory of the Didactic (ATD) in NETWORKING OF THEORIES AS A RESEARCH PRACTICE IN MATHEMATICS EDUCATION
  • 2002-10. Learning Mathematics in a CAS Environment: The Genesis of a Reflection about Instrumentation and the Dialectics between Technical and Conceptual Work in INTERNATIONAL JOURNAL OF COMPUTERS FOR MATHEMATICAL LEARNING
  • 1998-10. The Complex Process of Converting Tools into Mathematical Instruments: The Case of Calculators in INTERNATIONAL JOURNAL OF COMPUTERS FOR MATHEMATICAL LEARNING
  • 2015-11. A framework for designing a research-based “maths counsellor” teacher programme in EDUCATIONAL STUDIES IN MATHEMATICS
  • 2009-11-30. Modeling a Crucial Aspect of Students’ Mathematical Modeling in MODELING STUDENTS' MATHEMATICAL MODELING COMPETENCIES
  • 1995-03. Cognition and artifacts: A contribution to the study of though in relation to instrumented activity in EUROPEAN JOURNAL OF PSYCHOLOGY OF EDUCATION
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10649-019-09888-5

    DOI

    http://dx.doi.org/10.1007/s10649-019-09888-5

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1112771186


    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/2008/1302", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Curriculum and Pedagogy", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/13", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Education", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Aarhus University", 
              "id": "https://www.grid.ac/institutes/grid.7048.b", 
              "name": [
                "Danish School of Education, Aarhus University, Tuborgvej 164, 2400, Copenhagen, NV, Denmark"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Jankvist", 
            "givenName": "Uffe Thomas", 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Aalborg University", 
              "id": "https://www.grid.ac/institutes/grid.5117.2", 
              "name": [
                "Department for Learning and Philosophy, Aalborg University, A.C. Meyers V\u00e6nge 15, 2450, Copenhagen, Denmark"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Misfeldt", 
            "givenName": "Morten", 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Instituto Polit\u00e9cnico Nacional", 
              "id": "https://www.grid.ac/institutes/grid.418275.d", 
              "name": [
                "Instituto Polit\u00e9cnico Nacional, Programa de Matem\u00e1tica Educativa, CICATA Unidad Legaria, Calzada Legaria No. 694, Col. Irrigaci\u00f3n, Del. Miguel Hidalgo, 11500, Mexico City, Mexico"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Aguilar", 
            "givenName": "Mario S\u00e1nchez", 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/978-1-4419-0146-0_23", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000543511", 
              "https://doi.org/10.1007/978-1-4419-0146-0_23"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1145/565145.565147", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000768648"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/0-387-23435-7_6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000869725", 
              "https://doi.org/10.1007/0-387-23435-7_6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-94-017-1974-2_8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001227495", 
              "https://doi.org/10.1007/978-94-017-1974-2_8"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/0-387-23435-7_7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006934447", 
              "https://doi.org/10.1007/0-387-23435-7_7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf03172796", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008789392", 
              "https://doi.org/10.1007/bf03172796"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf03172796", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008789392", 
              "https://doi.org/10.1007/bf03172796"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4419-0561-1_4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010372586", 
              "https://doi.org/10.1007/978-1-4419-0561-1_4"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4419-0561-1_4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010372586", 
              "https://doi.org/10.1007/978-1-4419-0561-1_4"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0732-3123(01)00062-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012071551"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00305619", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012824368", 
              "https://doi.org/10.1007/bf00305619"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1093/teamat/hru006", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016310782"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01273663", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019618171", 
              "https://doi.org/10.1007/bf01273663"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01273663", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019618171", 
              "https://doi.org/10.1007/bf01273663"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1022103903080", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019830386", 
              "https://doi.org/10.1023/a:1022103903080"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1009892720043", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022158656", 
              "https://doi.org/10.1023/a:1009892720043"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/b101602", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023311131", 
              "https://doi.org/10.1007/b101602"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/b101602", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023311131", 
              "https://doi.org/10.1007/b101602"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10649-012-9416-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025671960", 
              "https://doi.org/10.1007/s10649-012-9416-8"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00302715", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1028982638", 
              "https://doi.org/10.1007/bf00302715"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10649-015-9629-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030133028", 
              "https://doi.org/10.1007/s10649-015-9629-8"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1003590914788", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032976394", 
              "https://doi.org/10.1023/a:1003590914788"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/0-387-23435-7_2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033535975", 
              "https://doi.org/10.1007/0-387-23435-7_2"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/0-306-47203-1_7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037990507", 
              "https://doi.org/10.1007/0-306-47203-1_7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-319-05389-9_5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040266175", 
              "https://doi.org/10.1007/978-3-319-05389-9_5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01273732", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045991972", 
              "https://doi.org/10.1007/bf01273732"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01273732", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045991972", 
              "https://doi.org/10.1007/bf01273732"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1017998922475", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050738006", 
              "https://doi.org/10.1023/a:1017998922475"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.17583/redimat.2016.2013", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1068366447"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/cbmath/006/01", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1089185099"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/cbmath/008/06", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1089185124"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-319-76575-4_22", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1103966300", 
              "https://doi.org/10.1007/978-3-319-76575-4_22"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2019-05", 
        "datePublishedReg": "2019-05-01", 
        "description": "Inspired by the entering of computer algebra systems (CAS) in the Danish upper secondary school mathematics program, this article addresses, from a theoretical stance, what may happen when traditional procedures are outsourced to CAS. Looking at the commands \u201csolve\u201d and \u201cdesolve,\u201d it is asked what happens when such CAS procedures are objectified in the students\u2019 minds, and what the nature might be of the resulting \u201cobjects.\u201d The theoretical analyses draw on a selection of classical mathematics education frameworks on conceptualization and are related to the research literature on technology in mathematics education. The article suggests the following characteristics as elements of negative effects: loss of distinctive features of concept formation, a consequential reclassification of mathematical objects, instability of CAS solutions as objects, and prevailing a posteriori reasoning on students\u2019 behalf when relying solely on CAS in their mathematical work.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s10649-019-09888-5", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1136108", 
            "issn": [
              "0013-1954", 
              "1573-0816"
            ], 
            "name": "Educational Studies in Mathematics", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "101"
          }
        ], 
        "name": "What happens when CAS procedures are objectified?\u2014the case of \u201csolve\u201d and \u201cdesolve\u201d", 
        "pagination": "1-15", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "04553f37720cf45bd0925d202711326d93127697e30220e958d7daad030f7d9a"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s10649-019-09888-5"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1112771186"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s10649-019-09888-5", 
          "https://app.dimensions.ai/details/publication/pub.1112771186"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T14:21", 
        "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/v90/0000000372_0000000372/records_117128_00000003.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://link.springer.com/10.1007%2Fs10649-019-09888-5"
      }
    ]
     

    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/s10649-019-09888-5'

    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/s10649-019-09888-5'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s10649-019-09888-5'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s10649-019-09888-5'


     

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

    180 TRIPLES      21 PREDICATES      54 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s10649-019-09888-5 schema:about anzsrc-for:13
    2 anzsrc-for:1302
    3 schema:author Nbb847968a7cb4de0b8b1244d75c90245
    4 schema:citation sg:pub.10.1007/0-306-47203-1_7
    5 sg:pub.10.1007/0-387-23435-7_2
    6 sg:pub.10.1007/0-387-23435-7_6
    7 sg:pub.10.1007/0-387-23435-7_7
    8 sg:pub.10.1007/978-1-4419-0146-0_23
    9 sg:pub.10.1007/978-1-4419-0561-1_4
    10 sg:pub.10.1007/978-3-319-05389-9_5
    11 sg:pub.10.1007/978-3-319-76575-4_22
    12 sg:pub.10.1007/978-94-017-1974-2_8
    13 sg:pub.10.1007/b101602
    14 sg:pub.10.1007/bf00302715
    15 sg:pub.10.1007/bf00305619
    16 sg:pub.10.1007/bf01273663
    17 sg:pub.10.1007/bf01273732
    18 sg:pub.10.1007/bf03172796
    19 sg:pub.10.1007/s10649-012-9416-8
    20 sg:pub.10.1007/s10649-015-9629-8
    21 sg:pub.10.1023/a:1003590914788
    22 sg:pub.10.1023/a:1009892720043
    23 sg:pub.10.1023/a:1017998922475
    24 sg:pub.10.1023/a:1022103903080
    25 https://doi.org/10.1016/s0732-3123(01)00062-1
    26 https://doi.org/10.1090/cbmath/006/01
    27 https://doi.org/10.1090/cbmath/008/06
    28 https://doi.org/10.1093/teamat/hru006
    29 https://doi.org/10.1145/565145.565147
    30 https://doi.org/10.17583/redimat.2016.2013
    31 schema:datePublished 2019-05
    32 schema:datePublishedReg 2019-05-01
    33 schema:description Inspired by the entering of computer algebra systems (CAS) in the Danish upper secondary school mathematics program, this article addresses, from a theoretical stance, what may happen when traditional procedures are outsourced to CAS. Looking at the commands “solve” and “desolve,” it is asked what happens when such CAS procedures are objectified in the students’ minds, and what the nature might be of the resulting “objects.” The theoretical analyses draw on a selection of classical mathematics education frameworks on conceptualization and are related to the research literature on technology in mathematics education. The article suggests the following characteristics as elements of negative effects: loss of distinctive features of concept formation, a consequential reclassification of mathematical objects, instability of CAS solutions as objects, and prevailing a posteriori reasoning on students’ behalf when relying solely on CAS in their mathematical work.
    34 schema:genre research_article
    35 schema:inLanguage en
    36 schema:isAccessibleForFree false
    37 schema:isPartOf N4ef8e1a3f34c4855ae0f97130286c82a
    38 Nd463aceecae24b6783b46d4e42e1d085
    39 sg:journal.1136108
    40 schema:name What happens when CAS procedures are objectified?—the case of “solve” and “desolve”
    41 schema:pagination 1-15
    42 schema:productId N26720528009c48f69e1f5dbd045f13cf
    43 N9a76354ad854403187d460095589bf1a
    44 Nad72a5a4ebfb4240bdbdc385fa13a257
    45 schema:sameAs https://app.dimensions.ai/details/publication/pub.1112771186
    46 https://doi.org/10.1007/s10649-019-09888-5
    47 schema:sdDatePublished 2019-04-11T14:21
    48 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    49 schema:sdPublisher N0cae1ce5d2614b45a7db1c8f89718185
    50 schema:url https://link.springer.com/10.1007%2Fs10649-019-09888-5
    51 sgo:license sg:explorer/license/
    52 sgo:sdDataset articles
    53 rdf:type schema:ScholarlyArticle
    54 N0cae1ce5d2614b45a7db1c8f89718185 schema:name Springer Nature - SN SciGraph project
    55 rdf:type schema:Organization
    56 N136a68e62938469bb6eff94c6c44e256 rdf:first N2beaece0cc7f4850abdd5ed8dcb097c4
    57 rdf:rest N905da14168574eaeb1452d91886ee115
    58 N25bb3f2b603c47458bfeea69bc1ae998 schema:affiliation https://www.grid.ac/institutes/grid.418275.d
    59 schema:familyName Aguilar
    60 schema:givenName Mario Sánchez
    61 rdf:type schema:Person
    62 N26720528009c48f69e1f5dbd045f13cf schema:name dimensions_id
    63 schema:value pub.1112771186
    64 rdf:type schema:PropertyValue
    65 N2beaece0cc7f4850abdd5ed8dcb097c4 schema:affiliation https://www.grid.ac/institutes/grid.5117.2
    66 schema:familyName Misfeldt
    67 schema:givenName Morten
    68 rdf:type schema:Person
    69 N4ef8e1a3f34c4855ae0f97130286c82a schema:volumeNumber 101
    70 rdf:type schema:PublicationVolume
    71 N8f91918f824147a594fe31c7390f8672 schema:affiliation https://www.grid.ac/institutes/grid.7048.b
    72 schema:familyName Jankvist
    73 schema:givenName Uffe Thomas
    74 rdf:type schema:Person
    75 N905da14168574eaeb1452d91886ee115 rdf:first N25bb3f2b603c47458bfeea69bc1ae998
    76 rdf:rest rdf:nil
    77 N9a76354ad854403187d460095589bf1a schema:name readcube_id
    78 schema:value 04553f37720cf45bd0925d202711326d93127697e30220e958d7daad030f7d9a
    79 rdf:type schema:PropertyValue
    80 Nad72a5a4ebfb4240bdbdc385fa13a257 schema:name doi
    81 schema:value 10.1007/s10649-019-09888-5
    82 rdf:type schema:PropertyValue
    83 Nbb847968a7cb4de0b8b1244d75c90245 rdf:first N8f91918f824147a594fe31c7390f8672
    84 rdf:rest N136a68e62938469bb6eff94c6c44e256
    85 Nd463aceecae24b6783b46d4e42e1d085 schema:issueNumber 1
    86 rdf:type schema:PublicationIssue
    87 anzsrc-for:13 schema:inDefinedTermSet anzsrc-for:
    88 schema:name Education
    89 rdf:type schema:DefinedTerm
    90 anzsrc-for:1302 schema:inDefinedTermSet anzsrc-for:
    91 schema:name Curriculum and Pedagogy
    92 rdf:type schema:DefinedTerm
    93 sg:journal.1136108 schema:issn 0013-1954
    94 1573-0816
    95 schema:name Educational Studies in Mathematics
    96 rdf:type schema:Periodical
    97 sg:pub.10.1007/0-306-47203-1_7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037990507
    98 https://doi.org/10.1007/0-306-47203-1_7
    99 rdf:type schema:CreativeWork
    100 sg:pub.10.1007/0-387-23435-7_2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033535975
    101 https://doi.org/10.1007/0-387-23435-7_2
    102 rdf:type schema:CreativeWork
    103 sg:pub.10.1007/0-387-23435-7_6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000869725
    104 https://doi.org/10.1007/0-387-23435-7_6
    105 rdf:type schema:CreativeWork
    106 sg:pub.10.1007/0-387-23435-7_7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006934447
    107 https://doi.org/10.1007/0-387-23435-7_7
    108 rdf:type schema:CreativeWork
    109 sg:pub.10.1007/978-1-4419-0146-0_23 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000543511
    110 https://doi.org/10.1007/978-1-4419-0146-0_23
    111 rdf:type schema:CreativeWork
    112 sg:pub.10.1007/978-1-4419-0561-1_4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010372586
    113 https://doi.org/10.1007/978-1-4419-0561-1_4
    114 rdf:type schema:CreativeWork
    115 sg:pub.10.1007/978-3-319-05389-9_5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040266175
    116 https://doi.org/10.1007/978-3-319-05389-9_5
    117 rdf:type schema:CreativeWork
    118 sg:pub.10.1007/978-3-319-76575-4_22 schema:sameAs https://app.dimensions.ai/details/publication/pub.1103966300
    119 https://doi.org/10.1007/978-3-319-76575-4_22
    120 rdf:type schema:CreativeWork
    121 sg:pub.10.1007/978-94-017-1974-2_8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001227495
    122 https://doi.org/10.1007/978-94-017-1974-2_8
    123 rdf:type schema:CreativeWork
    124 sg:pub.10.1007/b101602 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023311131
    125 https://doi.org/10.1007/b101602
    126 rdf:type schema:CreativeWork
    127 sg:pub.10.1007/bf00302715 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028982638
    128 https://doi.org/10.1007/bf00302715
    129 rdf:type schema:CreativeWork
    130 sg:pub.10.1007/bf00305619 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012824368
    131 https://doi.org/10.1007/bf00305619
    132 rdf:type schema:CreativeWork
    133 sg:pub.10.1007/bf01273663 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019618171
    134 https://doi.org/10.1007/bf01273663
    135 rdf:type schema:CreativeWork
    136 sg:pub.10.1007/bf01273732 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045991972
    137 https://doi.org/10.1007/bf01273732
    138 rdf:type schema:CreativeWork
    139 sg:pub.10.1007/bf03172796 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008789392
    140 https://doi.org/10.1007/bf03172796
    141 rdf:type schema:CreativeWork
    142 sg:pub.10.1007/s10649-012-9416-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025671960
    143 https://doi.org/10.1007/s10649-012-9416-8
    144 rdf:type schema:CreativeWork
    145 sg:pub.10.1007/s10649-015-9629-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030133028
    146 https://doi.org/10.1007/s10649-015-9629-8
    147 rdf:type schema:CreativeWork
    148 sg:pub.10.1023/a:1003590914788 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032976394
    149 https://doi.org/10.1023/a:1003590914788
    150 rdf:type schema:CreativeWork
    151 sg:pub.10.1023/a:1009892720043 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022158656
    152 https://doi.org/10.1023/a:1009892720043
    153 rdf:type schema:CreativeWork
    154 sg:pub.10.1023/a:1017998922475 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050738006
    155 https://doi.org/10.1023/a:1017998922475
    156 rdf:type schema:CreativeWork
    157 sg:pub.10.1023/a:1022103903080 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019830386
    158 https://doi.org/10.1023/a:1022103903080
    159 rdf:type schema:CreativeWork
    160 https://doi.org/10.1016/s0732-3123(01)00062-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012071551
    161 rdf:type schema:CreativeWork
    162 https://doi.org/10.1090/cbmath/006/01 schema:sameAs https://app.dimensions.ai/details/publication/pub.1089185099
    163 rdf:type schema:CreativeWork
    164 https://doi.org/10.1090/cbmath/008/06 schema:sameAs https://app.dimensions.ai/details/publication/pub.1089185124
    165 rdf:type schema:CreativeWork
    166 https://doi.org/10.1093/teamat/hru006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016310782
    167 rdf:type schema:CreativeWork
    168 https://doi.org/10.1145/565145.565147 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000768648
    169 rdf:type schema:CreativeWork
    170 https://doi.org/10.17583/redimat.2016.2013 schema:sameAs https://app.dimensions.ai/details/publication/pub.1068366447
    171 rdf:type schema:CreativeWork
    172 https://www.grid.ac/institutes/grid.418275.d schema:alternateName Instituto Politécnico Nacional
    173 schema:name Instituto Politécnico Nacional, Programa de Matemática Educativa, CICATA Unidad Legaria, Calzada Legaria No. 694, Col. Irrigación, Del. Miguel Hidalgo, 11500, Mexico City, Mexico
    174 rdf:type schema:Organization
    175 https://www.grid.ac/institutes/grid.5117.2 schema:alternateName Aalborg University
    176 schema:name Department for Learning and Philosophy, Aalborg University, A.C. Meyers Vænge 15, 2450, Copenhagen, Denmark
    177 rdf:type schema:Organization
    178 https://www.grid.ac/institutes/grid.7048.b schema:alternateName Aarhus University
    179 schema:name Danish School of Education, Aarhus University, Tuborgvej 164, 2400, Copenhagen, NV, Denmark
    180 rdf:type schema:Organization
     




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


    ...