What happens when CAS procedures are objectified?—the case of "solve" and "desolve".
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| Title: | What happens when CAS procedures are objectified?—the case of "solve" and "desolve". |
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| Authors: | Jankvist, Uffe Thomas1 utj@edu.au.dk, Misfeldt, Morten2, Aguilar, Mario Sánchez3 |
| Source: | Educational Studies in Mathematics. May2019, Vol. 101 Issue 1, p67-81. 15p. |
| Subject Terms: | *Mathematics education, *Secondary school students, *Educational technology, Algebra software, Mathematics research |
| 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. [ABSTRACT FROM AUTHOR] |
| Copyright of Educational Studies in Mathematics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Education Research Complete |
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| Header | DbId: ehh DbLabel: Education Research Complete An: 135779722 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: What happens when CAS procedures are objectified?—the case of "solve" and "desolve". – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Jankvist%2C+Uffe+Thomas%22">Jankvist, Uffe Thomas</searchLink><relatesTo>1</relatesTo><i> utj@edu.au.dk</i><br /><searchLink fieldCode="AR" term="%22Misfeldt%2C+Morten%22">Misfeldt, Morten</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Aguilar%2C+Mario+Sánchez%22">Aguilar, Mario Sánchez</searchLink><relatesTo>3</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Educational+Studies+in+Mathematics%22">Educational Studies in Mathematics</searchLink>. May2019, Vol. 101 Issue 1, p67-81. 15p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Mathematics+education%22">Mathematics education</searchLink><br />*<searchLink fieldCode="DE" term="%22Secondary+school+students%22">Secondary school students</searchLink><br />*<searchLink fieldCode="DE" term="%22Educational+technology%22">Educational technology</searchLink><br /><searchLink fieldCode="DE" term="%22Algebra+software%22">Algebra software</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+research%22">Mathematics research</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Educational Studies in Mathematics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=ehh&AN=135779722 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10649-019-09888-5 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 67 Subjects: – SubjectFull: Mathematics education Type: general – SubjectFull: Secondary school students Type: general – SubjectFull: Educational technology Type: general – SubjectFull: Algebra software Type: general – SubjectFull: Mathematics research Type: general Titles: – TitleFull: What happens when CAS procedures are objectified?—the case of "solve" and "desolve". Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Jankvist, Uffe Thomas – PersonEntity: Name: NameFull: Misfeldt, Morten – PersonEntity: Name: NameFull: Aguilar, Mario Sánchez IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2019 Type: published Y: 2019 Identifiers: – Type: issn-print Value: 00131954 Numbering: – Type: volume Value: 101 – Type: issue Value: 1 Titles: – TitleFull: Educational Studies in Mathematics Type: main |
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