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
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  – Url: https://eric.ed.gov/contentdelivery/servlet/ERICServlet?accno=ED676449
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  Data: A Study of Grade 10 Students' Conceptions of Proof in a Singapore Secondary School
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  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>
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  Data: <searchLink fieldCode="SO" term="%22Mathematics+Education+Research+Group+of+Australasia%22"><i>Mathematics Education Research Group of Australasia</i></searchLink>. 2025.
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  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/
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  Data: 8
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  Data: 2025
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  Data: Speeches/Meeting Papers<br />Reports - Research
– Name: Audience
  Label: Education Level
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  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>
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  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>
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  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.
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  Data: 2025
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  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
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            NameFull: Navinesh Thanabalasingam
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            NameFull: Berinderjeet Kaur
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            NameFull: Weng Kin Ho
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            – D: 01
              M: 01
              Type: published
              Y: 2025
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            – TitleFull: Mathematics Education Research Group of Australasia
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