Development of the process conception of function View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1992-06

AUTHORS

Daniel Breidenbach, Ed Dubinsky, Julie Hawks, Devilyna Nichols

ABSTRACT

Our goal in this paper is to make two points. First, college students, even those who have taken a fair number of mathematics courses, do not have much of an understanding of the function concept; and second, an epistemological theory we have been developing points to an instructional treatment, using computers, that results in substantial improvements for many students. They seem to develop a process conception of function and are able to use it to do mathematics. After an introductory section we outline, in Section 2, our theoretical epistemology in general and indicate how it applies to the function concept in particular. In Sections 3, 4, and 5 we provide specific details on this study and describe the development of the function concept that appeared to take place in the students that we are considering. In Section 6 we interpret the results and draw some conclusions. More... »

PAGES

247-285

Journal

TITLE

Educational Studies in Mathematics

ISSUE

3

VOLUME

23

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02309532

DOI

http://dx.doi.org/10.1007/bf02309532

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1021341987


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": [
      {
        "familyName": "Breidenbach", 
        "givenName": "Daniel", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Purdue University", 
          "id": "https://www.grid.ac/institutes/grid.169077.e", 
          "name": [
            "Department of Mathematics, Purdue University, 47907, West Lafayette, IN, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Dubinsky", 
        "givenName": "Ed", 
        "id": "sg:person.016413461715.34", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016413461715.34"
        ], 
        "type": "Person"
      }, 
      {
        "familyName": "Hawks", 
        "givenName": "Julie", 
        "type": "Person"
      }, 
      {
        "familyName": "Nichols", 
        "givenName": "Devilyna", 
        "id": "sg:person.07625672501.18", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07625672501.18"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/978-3-642-46323-5_2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007869091", 
          "https://doi.org/10.1007/978-3-642-46323-5_2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-3178-3_9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015598624", 
          "https://doi.org/10.1007/978-1-4612-3178-3_9"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1032615320", 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-010-9321-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1032615320", 
          "https://doi.org/10.1007/978-94-010-9321-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-010-9321-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1032615320", 
          "https://doi.org/10.1007/978-94-010-9321-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2307/749068", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1070668017"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2307/749441", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1070668245"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3102/00346543060001001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1070970129"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3102/00346543060001001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1070970129"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/9780470546550.ch1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1086102122"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1992-06", 
    "datePublishedReg": "1992-06-01", 
    "description": "Our goal in this paper is to make two points. First, college students, even those who have taken a fair number of mathematics courses, do not have much of an understanding of the function concept; and second, an epistemological theory we have been developing points to an instructional treatment, using computers, that results in substantial improvements for many students. They seem to develop a process conception of function and are able to use it to do mathematics. After an introductory section we outline, in Section 2, our theoretical epistemology in general and indicate how it applies to the function concept in particular. In Sections 3, 4, and 5 we provide specific details on this study and describe the development of the function concept that appeared to take place in the students that we are considering. In Section 6 we interpret the results and draw some conclusions.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/bf02309532", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136108", 
        "issn": [
          "0013-1954", 
          "1573-0816"
        ], 
        "name": "Educational Studies in Mathematics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "3", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "23"
      }
    ], 
    "name": "Development of the process conception of function", 
    "pagination": "247-285", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "65af02fa6dd3c92d7186b2f7379eab710973526822b06f91fddf9a3156e7cfeb"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf02309532"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1021341987"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf02309532", 
      "https://app.dimensions.ai/details/publication/pub.1021341987"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T12:54", 
    "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/v90/0000000364_0000000364/records_72866_00000000.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/BF02309532"
  }
]
 

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/bf02309532'

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/bf02309532'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf02309532'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf02309532'


 

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

103 TRIPLES      21 PREDICATES      35 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf02309532 schema:about anzsrc-for:13
2 anzsrc-for:1302
3 schema:author N9b33d7ea726f4365af3ae6d6f5630ed4
4 schema:citation sg:pub.10.1007/978-1-4612-3178-3_9
5 sg:pub.10.1007/978-3-642-46323-5_2
6 sg:pub.10.1007/978-94-010-9321-7
7 https://app.dimensions.ai/details/publication/pub.1032615320
8 https://doi.org/10.1109/9780470546550.ch1
9 https://doi.org/10.2307/749068
10 https://doi.org/10.2307/749441
11 https://doi.org/10.3102/00346543060001001
12 schema:datePublished 1992-06
13 schema:datePublishedReg 1992-06-01
14 schema:description Our goal in this paper is to make two points. First, college students, even those who have taken a fair number of mathematics courses, do not have much of an understanding of the function concept; and second, an epistemological theory we have been developing points to an instructional treatment, using computers, that results in substantial improvements for many students. They seem to develop a process conception of function and are able to use it to do mathematics. After an introductory section we outline, in Section 2, our theoretical epistemology in general and indicate how it applies to the function concept in particular. In Sections 3, 4, and 5 we provide specific details on this study and describe the development of the function concept that appeared to take place in the students that we are considering. In Section 6 we interpret the results and draw some conclusions.
15 schema:genre research_article
16 schema:inLanguage en
17 schema:isAccessibleForFree false
18 schema:isPartOf N47794b1e50b14d18b2ec07c51ed05a2a
19 Nc588d97602cf4e84bdd6b0ff9ce5537c
20 sg:journal.1136108
21 schema:name Development of the process conception of function
22 schema:pagination 247-285
23 schema:productId N188c190f3a8d4429b1bf9906b2e0db61
24 N3ee2ad69caf1440db1e593c2e9c0d504
25 N544edf0347794ae2adfe1f374e55b23d
26 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021341987
27 https://doi.org/10.1007/bf02309532
28 schema:sdDatePublished 2019-04-11T12:54
29 schema:sdLicense https://scigraph.springernature.com/explorer/license/
30 schema:sdPublisher N7fa34fc059164866b92da302f9a64013
31 schema:url http://link.springer.com/10.1007/BF02309532
32 sgo:license sg:explorer/license/
33 sgo:sdDataset articles
34 rdf:type schema:ScholarlyArticle
35 N17123d023a1f4b57ac2c1dbd5cd32a1c schema:familyName Hawks
36 schema:givenName Julie
37 rdf:type schema:Person
38 N188c190f3a8d4429b1bf9906b2e0db61 schema:name readcube_id
39 schema:value 65af02fa6dd3c92d7186b2f7379eab710973526822b06f91fddf9a3156e7cfeb
40 rdf:type schema:PropertyValue
41 N3ee2ad69caf1440db1e593c2e9c0d504 schema:name doi
42 schema:value 10.1007/bf02309532
43 rdf:type schema:PropertyValue
44 N47794b1e50b14d18b2ec07c51ed05a2a schema:issueNumber 3
45 rdf:type schema:PublicationIssue
46 N544edf0347794ae2adfe1f374e55b23d schema:name dimensions_id
47 schema:value pub.1021341987
48 rdf:type schema:PropertyValue
49 N7fa34fc059164866b92da302f9a64013 schema:name Springer Nature - SN SciGraph project
50 rdf:type schema:Organization
51 N9b33d7ea726f4365af3ae6d6f5630ed4 rdf:first Ne70caed8dba143c6a2a36ed22060b87f
52 rdf:rest Na00c6225337240ffb846a32d117258cf
53 N9d7cac3f1e614b5dbd8ac23a2060f86d rdf:first sg:person.07625672501.18
54 rdf:rest rdf:nil
55 Na00c6225337240ffb846a32d117258cf rdf:first sg:person.016413461715.34
56 rdf:rest Neee4f2d3082549d38060ec2ccb647584
57 Nc588d97602cf4e84bdd6b0ff9ce5537c schema:volumeNumber 23
58 rdf:type schema:PublicationVolume
59 Ne70caed8dba143c6a2a36ed22060b87f schema:familyName Breidenbach
60 schema:givenName Daniel
61 rdf:type schema:Person
62 Neee4f2d3082549d38060ec2ccb647584 rdf:first N17123d023a1f4b57ac2c1dbd5cd32a1c
63 rdf:rest N9d7cac3f1e614b5dbd8ac23a2060f86d
64 anzsrc-for:13 schema:inDefinedTermSet anzsrc-for:
65 schema:name Education
66 rdf:type schema:DefinedTerm
67 anzsrc-for:1302 schema:inDefinedTermSet anzsrc-for:
68 schema:name Curriculum and Pedagogy
69 rdf:type schema:DefinedTerm
70 sg:journal.1136108 schema:issn 0013-1954
71 1573-0816
72 schema:name Educational Studies in Mathematics
73 rdf:type schema:Periodical
74 sg:person.016413461715.34 schema:affiliation https://www.grid.ac/institutes/grid.169077.e
75 schema:familyName Dubinsky
76 schema:givenName Ed
77 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016413461715.34
78 rdf:type schema:Person
79 sg:person.07625672501.18 schema:familyName Nichols
80 schema:givenName Devilyna
81 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07625672501.18
82 rdf:type schema:Person
83 sg:pub.10.1007/978-1-4612-3178-3_9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015598624
84 https://doi.org/10.1007/978-1-4612-3178-3_9
85 rdf:type schema:CreativeWork
86 sg:pub.10.1007/978-3-642-46323-5_2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007869091
87 https://doi.org/10.1007/978-3-642-46323-5_2
88 rdf:type schema:CreativeWork
89 sg:pub.10.1007/978-94-010-9321-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032615320
90 https://doi.org/10.1007/978-94-010-9321-7
91 rdf:type schema:CreativeWork
92 https://app.dimensions.ai/details/publication/pub.1032615320 schema:CreativeWork
93 https://doi.org/10.1109/9780470546550.ch1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1086102122
94 rdf:type schema:CreativeWork
95 https://doi.org/10.2307/749068 schema:sameAs https://app.dimensions.ai/details/publication/pub.1070668017
96 rdf:type schema:CreativeWork
97 https://doi.org/10.2307/749441 schema:sameAs https://app.dimensions.ai/details/publication/pub.1070668245
98 rdf:type schema:CreativeWork
99 https://doi.org/10.3102/00346543060001001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1070970129
100 rdf:type schema:CreativeWork
101 https://www.grid.ac/institutes/grid.169077.e schema:alternateName Purdue University
102 schema:name Department of Mathematics, Purdue University, 47907, West Lafayette, IN, USA
103 rdf:type schema:Organization
 




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


...