A culture of proving in school mathematics? View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

1998

AUTHORS

Celia Hoyles

ABSTRACT

It is commonplace in mathematics to present proving in a hierarchy of levels in which the empirical precedes the deductive. This paper questions the assumption that this is a matter of development of the latter from the former and presents an alternative sequence where the seeds of proving are sown in a computer-based construction process which requires an explicit description of relevant properties and relationships. More... »

PAGES

169-182

Book

TITLE

Information and Communications Technologies in School Mathematics

ISBN

978-1-4757-5473-5
978-0-387-35287-9

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-0-387-35287-9_21

DOI

http://dx.doi.org/10.1007/978-0-387-35287-9_21

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1028199870


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/2008/0912", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Materials Engineering", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Engineering", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "University College London", 
          "id": "https://www.grid.ac/institutes/grid.83440.3b", 
          "name": [
            "Institute of Education, University of London, UK"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Hoyles", 
        "givenName": "Celia", 
        "id": "sg:person.07727647637.50", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07727647637.50"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1008981858", 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-009-1696-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1008981858", 
          "https://doi.org/10.1007/978-94-009-1696-8"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-009-1696-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1008981858", 
          "https://doi.org/10.1007/978-94-009-1696-8"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-642-57799-4_13", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033475908", 
          "https://doi.org/10.1007/978-3-642-57799-4_13"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-642-57799-4_13", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033475908", 
          "https://doi.org/10.1007/978-3-642-57799-4_13"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/0141192940200105", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035257069"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1998", 
    "datePublishedReg": "1998-01-01", 
    "description": "It is commonplace in mathematics to present proving in a hierarchy of levels in which the empirical precedes the deductive. This paper questions the assumption that this is a matter of development of the latter from the former and presents an alternative sequence where the seeds of proving are sown in a computer-based construction process which requires an explicit description of relevant properties and relationships.", 
    "editor": [
      {
        "familyName": "Tinsley", 
        "givenName": "David", 
        "type": "Person"
      }, 
      {
        "familyName": "Johnson", 
        "givenName": "David C.", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-0-387-35287-9_21", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": {
      "isbn": [
        "978-1-4757-5473-5", 
        "978-0-387-35287-9"
      ], 
      "name": "Information and Communications Technologies in School Mathematics", 
      "type": "Book"
    }, 
    "name": "A culture of proving in school mathematics?", 
    "pagination": "169-182", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-0-387-35287-9_21"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "8656c1944518d05c3b63f07122068762d92a6407bb6600ce54027bdd4a849fcf"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1028199870"
        ]
      }
    ], 
    "publisher": {
      "location": "Boston, MA", 
      "name": "Springer US", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-0-387-35287-9_21", 
      "https://app.dimensions.ai/details/publication/pub.1028199870"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-15T18:11", 
    "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_00000260.jsonl", 
    "type": "Chapter", 
    "url": "http://link.springer.com/10.1007/978-0-387-35287-9_21"
  }
]
 

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.10.1007/978-0-387-35287-9_21'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-0-387-35287-9_21'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-0-387-35287-9_21'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-0-387-35287-9_21'


 

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

83 TRIPLES      23 PREDICATES      31 URIs      20 LITERALS      8 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-0-387-35287-9_21 schema:about anzsrc-for:09
2 anzsrc-for:0912
3 schema:author Nd34d9a43f6c7404fa32af87f24596564
4 schema:citation sg:pub.10.1007/978-3-642-57799-4_13
5 sg:pub.10.1007/978-94-009-1696-8
6 https://app.dimensions.ai/details/publication/pub.1008981858
7 https://doi.org/10.1080/0141192940200105
8 schema:datePublished 1998
9 schema:datePublishedReg 1998-01-01
10 schema:description It is commonplace in mathematics to present proving in a hierarchy of levels in which the empirical precedes the deductive. This paper questions the assumption that this is a matter of development of the latter from the former and presents an alternative sequence where the seeds of proving are sown in a computer-based construction process which requires an explicit description of relevant properties and relationships.
11 schema:editor N1d8991804d6942e1a1309b9735b03b3e
12 schema:genre chapter
13 schema:inLanguage en
14 schema:isAccessibleForFree true
15 schema:isPartOf N3709f2f096c441608da6c57757e72e41
16 schema:name A culture of proving in school mathematics?
17 schema:pagination 169-182
18 schema:productId N70e101edb96140949b672d5c6da77830
19 N9ad0829301b2466aae7a150c5eb0c381
20 Ndb62ebbfe698434192966693283dfc11
21 schema:publisher N1738e67443224c61b6e5577a3154bca3
22 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028199870
23 https://doi.org/10.1007/978-0-387-35287-9_21
24 schema:sdDatePublished 2019-04-15T18:11
25 schema:sdLicense https://scigraph.springernature.com/explorer/license/
26 schema:sdPublisher N88160bd4bd494ed38ecd5cb6a8d3102a
27 schema:url http://link.springer.com/10.1007/978-0-387-35287-9_21
28 sgo:license sg:explorer/license/
29 sgo:sdDataset chapters
30 rdf:type schema:Chapter
31 N13054dfcf72a4a59a9df4a69519cea85 schema:familyName Tinsley
32 schema:givenName David
33 rdf:type schema:Person
34 N1738e67443224c61b6e5577a3154bca3 schema:location Boston, MA
35 schema:name Springer US
36 rdf:type schema:Organisation
37 N1d8991804d6942e1a1309b9735b03b3e rdf:first N13054dfcf72a4a59a9df4a69519cea85
38 rdf:rest Nf4f4920a7fb643f0ad071660c09fe299
39 N286b725e4e7f489c8bd10645d97d17d0 schema:familyName Johnson
40 schema:givenName David C.
41 rdf:type schema:Person
42 N3709f2f096c441608da6c57757e72e41 schema:isbn 978-0-387-35287-9
43 978-1-4757-5473-5
44 schema:name Information and Communications Technologies in School Mathematics
45 rdf:type schema:Book
46 N70e101edb96140949b672d5c6da77830 schema:name dimensions_id
47 schema:value pub.1028199870
48 rdf:type schema:PropertyValue
49 N88160bd4bd494ed38ecd5cb6a8d3102a schema:name Springer Nature - SN SciGraph project
50 rdf:type schema:Organization
51 N9ad0829301b2466aae7a150c5eb0c381 schema:name readcube_id
52 schema:value 8656c1944518d05c3b63f07122068762d92a6407bb6600ce54027bdd4a849fcf
53 rdf:type schema:PropertyValue
54 Nd34d9a43f6c7404fa32af87f24596564 rdf:first sg:person.07727647637.50
55 rdf:rest rdf:nil
56 Ndb62ebbfe698434192966693283dfc11 schema:name doi
57 schema:value 10.1007/978-0-387-35287-9_21
58 rdf:type schema:PropertyValue
59 Nf4f4920a7fb643f0ad071660c09fe299 rdf:first N286b725e4e7f489c8bd10645d97d17d0
60 rdf:rest rdf:nil
61 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
62 schema:name Engineering
63 rdf:type schema:DefinedTerm
64 anzsrc-for:0912 schema:inDefinedTermSet anzsrc-for:
65 schema:name Materials Engineering
66 rdf:type schema:DefinedTerm
67 sg:person.07727647637.50 schema:affiliation https://www.grid.ac/institutes/grid.83440.3b
68 schema:familyName Hoyles
69 schema:givenName Celia
70 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07727647637.50
71 rdf:type schema:Person
72 sg:pub.10.1007/978-3-642-57799-4_13 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033475908
73 https://doi.org/10.1007/978-3-642-57799-4_13
74 rdf:type schema:CreativeWork
75 sg:pub.10.1007/978-94-009-1696-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008981858
76 https://doi.org/10.1007/978-94-009-1696-8
77 rdf:type schema:CreativeWork
78 https://app.dimensions.ai/details/publication/pub.1008981858 schema:CreativeWork
79 https://doi.org/10.1080/0141192940200105 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035257069
80 rdf:type schema:CreativeWork
81 https://www.grid.ac/institutes/grid.83440.3b schema:alternateName University College London
82 schema:name Institute of Education, University of London, UK
83 rdf:type schema:Organization
 




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


...