A Study of Grade 10 Students' Conceptions of Proof in a Singapore Secondary School
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| Title: | A Study of Grade 10 Students' Conceptions of Proof in a Singapore Secondary School |
|---|---|
| Language: | English |
| Authors: | Navinesh Thanabalasingam, Berinderjeet Kaur, Weng Kin Ho, Mathematics Education Research Group of Australasia (MERGA) |
| Source: | Mathematics Education Research Group of Australasia. 2025. |
| Availability: | Mathematics Education Research Group of Australasia. GPO Box 2747, Adelaide SA 5001, Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: sales@merga.net.au; Web site: http://www.merga.net.au/ |
| Peer Reviewed: | N |
| Page Count: | 8 |
| Publication Date: | 2025 |
| Document Type: | Speeches/Meeting Papers Reports - Research |
| Education Level: | Grade 10 High Schools Secondary Education |
| Descriptors: | Grade 10, Secondary School Students, Mathematical Logic, Validity, Mathematics Instruction, Mathematical Concepts, Concept Formation, Foreign Countries |
| Geographic Terms: | Singapore |
| Abstract: | This paper examines Grade 10 students' conceptions of proof in a secondary school in Singapore. Using a purposive survey of 9 mathematical items, proofs by 8 students for two items, one on Number and Algebra and another on Geometry and Trigonometry, were coded using Harel's proof schemes. The findings show that the students' proofs for the two questions displayed a range of proof schemes, except the authoritative scheme. With the exception, of the perceptual scheme, the predominance of other schemes was item specific. It was also apparent from the proofs written by the students that they struggled to articulate their arguments using correct mathematical language. |
| Abstractor: | As Provided |
| Entry Date: | 2025 |
| Accession Number: | ED676449 |
| Database: | ERIC |
| FullText | Text: Availability: 0 CustomLinks: – Url: https://eric.ed.gov/contentdelivery/servlet/ERICServlet?accno=ED676449 Name: ERIC Full Text Category: fullText Text: Full Text from ERIC |
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| Header | DbId: eric DbLabel: ERIC An: ED676449 AccessLevel: 3 PubType: Conference PubTypeId: conference PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A Study of Grade 10 Students' Conceptions of Proof in a Singapore Secondary School – Name: Language Label: Language Group: Lang Data: English – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Navinesh+Thanabalasingam%22">Navinesh Thanabalasingam</searchLink><br /><searchLink fieldCode="AR" term="%22Berinderjeet+Kaur%22">Berinderjeet Kaur</searchLink><br /><searchLink fieldCode="AR" term="%22Weng+Kin+Ho%22">Weng Kin Ho</searchLink><br /><searchLink fieldCode="AR" term="%22Mathematics+Education+Research+Group+of+Australasia+%28MERGA%29%22">Mathematics Education Research Group of Australasia (MERGA)</searchLink> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="SO" term="%22Mathematics+Education+Research+Group+of+Australasia%22"><i>Mathematics Education Research Group of Australasia</i></searchLink>. 2025. – Name: Avail Label: Availability Group: Avail Data: Mathematics Education Research Group of Australasia. GPO Box 2747, Adelaide SA 5001, Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: sales@merga.net.au; Web site: http://www.merga.net.au/ – Name: PeerReviewed Label: Peer Reviewed Group: SrcInfo Data: N – Name: Pages Label: Page Count Group: Src Data: 8 – Name: DatePubCY Label: Publication Date Group: Date Data: 2025 – Name: TypeDocument Label: Document Type Group: TypDoc Data: Speeches/Meeting Papers<br />Reports - Research – Name: Audience Label: Education Level Group: Audnce Data: <searchLink fieldCode="EL" term="%22Grade+10%22">Grade 10</searchLink><br /><searchLink fieldCode="EL" term="%22High+Schools%22">High Schools</searchLink><br /><searchLink fieldCode="EL" term="%22Secondary+Education%22">Secondary Education</searchLink> – Name: Subject Label: Descriptors Group: Su Data: <searchLink fieldCode="DE" term="%22Grade+10%22">Grade 10</searchLink><br /><searchLink fieldCode="DE" term="%22Secondary+School+Students%22">Secondary School Students</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Logic%22">Mathematical Logic</searchLink><br /><searchLink fieldCode="DE" term="%22Validity%22">Validity</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Instruction%22">Mathematics Instruction</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Concepts%22">Mathematical Concepts</searchLink><br /><searchLink fieldCode="DE" term="%22Concept+Formation%22">Concept Formation</searchLink><br /><searchLink fieldCode="DE" term="%22Foreign+Countries%22">Foreign Countries</searchLink> – Name: Subject Label: Geographic Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Singapore%22">Singapore</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper examines Grade 10 students' conceptions of proof in a secondary school in Singapore. Using a purposive survey of 9 mathematical items, proofs by 8 students for two items, one on Number and Algebra and another on Geometry and Trigonometry, were coded using Harel's proof schemes. The findings show that the students' proofs for the two questions displayed a range of proof schemes, except the authoritative scheme. With the exception, of the perceptual scheme, the predominance of other schemes was item specific. It was also apparent from the proofs written by the students that they struggled to articulate their arguments using correct mathematical language. – Name: AbstractInfo Label: Abstractor Group: Ab Data: As Provided – Name: DateEntry Label: Entry Date Group: Date Data: 2025 – Name: AN Label: Accession Number Group: ID Data: ED676449 |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=eric&AN=ED676449 |
| RecordInfo | BibRecord: BibEntity: Languages: – Text: English PhysicalDescription: Pagination: PageCount: 8 Subjects: – SubjectFull: Grade 10 Type: general – SubjectFull: Secondary School Students Type: general – SubjectFull: Mathematical Logic Type: general – SubjectFull: Validity Type: general – SubjectFull: Mathematics Instruction Type: general – SubjectFull: Mathematical Concepts Type: general – SubjectFull: Concept Formation Type: general – SubjectFull: Foreign Countries Type: general – SubjectFull: Singapore Type: general Titles: – TitleFull: A Study of Grade 10 Students' Conceptions of Proof in a Singapore Secondary School Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mathematics Education Research Group of Australasia (MERGA) – PersonEntity: Name: NameFull: Navinesh Thanabalasingam – PersonEntity: Name: NameFull: Berinderjeet Kaur – PersonEntity: Name: NameFull: Weng Kin Ho IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2025 Titles: – TitleFull: Mathematics Education Research Group of Australasia Type: main |
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