WHAT IS A FUNCTION?
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| Title: | WHAT IS A FUNCTION? |
|---|---|
| Authors: | Mirin, Alison1 amirin@asu.edu, Weber, Keith2 keith.weber@gse.rutgers.edu, Wasserman, Nicholas3 wasserman@tc.columbia.edu |
| Source: | Conference Papers -- Psychology of Mathematics & Education of North America. 2020, p1156-1164. 9p. |
| Subject Terms: | *Mathematics students, *Mathematics teachers, *Mathematics education, *Secondary school students, Mathematical functions |
| Abstract: | In the mathematical community, two notions of "function" are used: the set-theoretic definition as a univalent set of ordered pairs, and the Bourbaki triple. These definitions entail different interpretations and answers to mathematical questions that even a secondary student might be prompted to answer. However, mathematicians and mathematics educators are often not explicit about which definition they are using. This paper discusses these parallel usages and the related implications for the field of mathematics education. [ABSTRACT FROM AUTHOR] |
| Copyright of Conference Papers -- Psychology of Mathematics & Education of North America is the property of Psychology of Mathematics & Education of North America 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 |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: ehh DbLabel: Education Research Complete An: 149100435 AccessLevel: 6 PubType: Conference PubTypeId: conference PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: WHAT IS A FUNCTION? – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mirin%2C+Alison%22">Mirin, Alison</searchLink><relatesTo>1</relatesTo><i> amirin@asu.edu</i><br /><searchLink fieldCode="AR" term="%22Weber%2C+Keith%22">Weber, Keith</searchLink><relatesTo>2</relatesTo><i> keith.weber@gse.rutgers.edu</i><br /><searchLink fieldCode="AR" term="%22Wasserman%2C+Nicholas%22">Wasserman, Nicholas</searchLink><relatesTo>3</relatesTo><i> wasserman@tc.columbia.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Conference+Papers+--+Psychology+of+Mathematics+%26+Education+of+North+America%22">Conference Papers -- Psychology of Mathematics & Education of North America</searchLink>. 2020, p1156-1164. 9p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Mathematics+students%22">Mathematics students</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematics+teachers%22">Mathematics teachers</searchLink><br />*<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="%22Mathematical+functions%22">Mathematical functions</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In the mathematical community, two notions of "function" are used: the set-theoretic definition as a univalent set of ordered pairs, and the Bourbaki triple. These definitions entail different interpretations and answers to mathematical questions that even a secondary student might be prompted to answer. However, mathematicians and mathematics educators are often not explicit about which definition they are using. This paper discusses these parallel usages and the related implications for the field of mathematics education. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Conference Papers -- Psychology of Mathematics & Education of North America is the property of Psychology of Mathematics & Education of North America 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=149100435 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.51272/pmena.42.2020-182 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 1156 Subjects: – SubjectFull: Mathematics students Type: general – SubjectFull: Mathematics teachers Type: general – SubjectFull: Mathematics education Type: general – SubjectFull: Secondary school students Type: general – SubjectFull: Mathematical functions Type: general Titles: – TitleFull: WHAT IS A FUNCTION? Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mirin, Alison – PersonEntity: Name: NameFull: Weber, Keith – PersonEntity: Name: NameFull: Wasserman, Nicholas IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: 2020 Type: published Y: 2020 Titles: – TitleFull: Conference Papers -- Psychology of Mathematics & Education of North America Type: main |
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