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Sixth-Grade Students' Pattern Generalization Approaches

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Title: Sixth-Grade Students' Pattern Generalization Approaches
Language: English
Authors: Zeycan Kama (ORCID 0009-0003-0343-0575), Mine Isiksal Bostan (ORCID 0000-0001-7619-1390), Zelha Tunç Pekkan (ORCID 0000-0001-7194-6088)
Source: Journal of Pedagogical Research. 2023 7(5):136-155.
Availability: Journal of Pedagogical Research. Duzce University, Faculty of Education, Konuralp Campus, 81620, Duzce, Turkey. e-mail: ijopr.editor@gmail.com; Web site: https://www.ijopr.com/
Peer Reviewed: Y
Page Count: 20
Publication Date: 2023
Document Type: Journal Articles
Reports - Research
Education Level: Elementary Education
Grade 6
Intermediate Grades
Middle Schools
Junior High Schools
Secondary Education
Descriptors: Grade 6, Generalization, Rote Learning, Algebra, Mathematics Instruction, Teaching Methods, Curriculum Development, Mathematical Concepts, Middle School Students, Concept Formation, Foreign Countries
Geographic Terms: Turkey
ISSN: 2602-3717
Abstract: This study investigates sixth-grade Turkish students' pattern-generalization approaches among arithmetical generalization, algebraic generalization, and naïve induction. A qualitative case study design was employed. The data was collected from four sixth-grade students through the Pattern Questionnaire (PQ) and individual interviews based on the questionnaire. The findings revealed that all students generalized near terms using arithmetical generalization as the first step and then they mostly looked for a general rule through memorized procedures by skipping far term generalization. When they found the general rule, far terms were calculated by rote. In other words, students did not generalize the pattern to far terms using an algebraic generalization. The current study's findings would give valuable information to the mathematics educators regarding the necessity of avoiding creating a procedural instructional environment by focusing on the rote procedure of finding the general rule of a pattern. These findings would also expand the horizons of curriculum developers regarding the importance of objectives about both near terms and far term generalization by progressing from arithmetical generalization to algebraic generalization.
Abstractor: As Provided
Entry Date: 2024
Accession Number: EJ1411758
Database: ERIC
FullText Text:
  Availability: 0
CustomLinks:
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  Data: Sixth-Grade Students' Pattern Generalization Approaches
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  Data: <searchLink fieldCode="AR" term="%22Zeycan+Kama%22">Zeycan Kama</searchLink> (ORCID <externalLink term="http://www.orcid.org/0009-0003-0343-0575">0009-0003-0343-0575</externalLink>)<br /><searchLink fieldCode="AR" term="%22Mine+Isiksal+Bostan%22">Mine Isiksal Bostan</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0001-7619-1390">0000-0001-7619-1390</externalLink>)<br /><searchLink fieldCode="AR" term="%22Zelha+Tunç+Pekkan%22">Zelha Tunç Pekkan</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0001-7194-6088">0000-0001-7194-6088</externalLink>)
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  Data: <searchLink fieldCode="SO" term="%22Journal+of+Pedagogical+Research%22"><i>Journal of Pedagogical Research</i></searchLink>. 2023 7(5):136-155.
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  Data: Journal of Pedagogical Research. Duzce University, Faculty of Education, Konuralp Campus, 81620, Duzce, Turkey. e-mail: ijopr.editor@gmail.com; Web site: https://www.ijopr.com/
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  Data: Y
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  Data: 20
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  Data: Journal Articles<br />Reports - Research
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  Data: <searchLink fieldCode="EL" term="%22Elementary+Education%22">Elementary Education</searchLink><br /><searchLink fieldCode="EL" term="%22Grade+6%22">Grade 6</searchLink><br /><searchLink fieldCode="EL" term="%22Intermediate+Grades%22">Intermediate Grades</searchLink><br /><searchLink fieldCode="EL" term="%22Middle+Schools%22">Middle Schools</searchLink><br /><searchLink fieldCode="EL" term="%22Junior+High+Schools%22">Junior High Schools</searchLink><br /><searchLink fieldCode="EL" term="%22Secondary+Education%22">Secondary Education</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Grade+6%22">Grade 6</searchLink><br /><searchLink fieldCode="DE" term="%22Generalization%22">Generalization</searchLink><br /><searchLink fieldCode="DE" term="%22Rote+Learning%22">Rote Learning</searchLink><br /><searchLink fieldCode="DE" term="%22Algebra%22">Algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Instruction%22">Mathematics Instruction</searchLink><br /><searchLink fieldCode="DE" term="%22Teaching+Methods%22">Teaching Methods</searchLink><br /><searchLink fieldCode="DE" term="%22Curriculum+Development%22">Curriculum Development</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Concepts%22">Mathematical Concepts</searchLink><br /><searchLink fieldCode="DE" term="%22Middle+School+Students%22">Middle School Students</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="%22Turkey%22">Turkey</searchLink>
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  Data: 2602-3717
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This study investigates sixth-grade Turkish students' pattern-generalization approaches among arithmetical generalization, algebraic generalization, and naïve induction. A qualitative case study design was employed. The data was collected from four sixth-grade students through the Pattern Questionnaire (PQ) and individual interviews based on the questionnaire. The findings revealed that all students generalized near terms using arithmetical generalization as the first step and then they mostly looked for a general rule through memorized procedures by skipping far term generalization. When they found the general rule, far terms were calculated by rote. In other words, students did not generalize the pattern to far terms using an algebraic generalization. The current study's findings would give valuable information to the mathematics educators regarding the necessity of avoiding creating a procedural instructional environment by focusing on the rote procedure of finding the general rule of a pattern. These findings would also expand the horizons of curriculum developers regarding the importance of objectives about both near terms and far term generalization by progressing from arithmetical generalization to algebraic generalization.
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  Data: As Provided
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  Data: 2024
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  Label: Accession Number
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  Data: EJ1411758
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RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 20
        StartPage: 136
    Subjects:
      – SubjectFull: Grade 6
        Type: general
      – SubjectFull: Generalization
        Type: general
      – SubjectFull: Rote Learning
        Type: general
      – SubjectFull: Algebra
        Type: general
      – SubjectFull: Mathematics Instruction
        Type: general
      – SubjectFull: Teaching Methods
        Type: general
      – SubjectFull: Curriculum Development
        Type: general
      – SubjectFull: Mathematical Concepts
        Type: general
      – SubjectFull: Middle School Students
        Type: general
      – SubjectFull: Concept Formation
        Type: general
      – SubjectFull: Foreign Countries
        Type: general
      – SubjectFull: Turkey
        Type: general
    Titles:
      – TitleFull: Sixth-Grade Students' Pattern Generalization Approaches
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          Name:
            NameFull: Zeycan Kama
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            NameFull: Mine Isiksal Bostan
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            NameFull: Zelha Tunç Pekkan
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            – D: 01
              M: 01
              Type: published
              Y: 2023
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