How Abstraction of a Pre-Service Teacher in Constructing Relationships among Quadrilaterals

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Title: How Abstraction of a Pre-Service Teacher in Constructing Relationships among Quadrilaterals
Language: English
Authors: Hodiyanto (ORCID 0000-0001-9371-1845), Mega Teguh Budiarto (ORCID 0000-0002-9052-3141), Rooselyna Ekawati (ORCID 0000-0002-2646-9064), Gemi Susanti (ORCID 0009-0008-7953-9549), Jeonghyeon Kim (ORCID 0009-0007-5819-6092), Ebenezer Bonyah (ORCID 0000-0003-0808-4504)
Source: Journal on Mathematics Education. 2023 15(2):339-362.
Availability: Indonesian Mathematical Society. Jl. Padang Selasa 524, Palembang, South Sumatra 30139, Indonesia. Tel: +618-127-106777; Fax: +627-113-20310; Web site: http://jme.ejournal.unsri.ac.id/index.php/jme
Peer Reviewed: Y
Page Count: 24
Publication Date: 2024
Document Type: Journal Articles
Reports - Research
Education Level: Higher Education
Postsecondary Education
Descriptors: Preservice Teachers, Mathematics Skills, Mathematical Logic, Geometric Concepts, Thinking Skills, Abstract Reasoning, Epistemology, Definitions, Problem Solving
ISSN: 2087-8885
2407-0610
Abstract: Abstraction is essential to learning mathematics because the mathematical concepts obtained through abstraction will be more meaningful than directly receiving these concepts. This study aims to describe the pre-service teachers' abstraction in constructing relationships among quadrilaterals. This research method was explorative qualitative research with a purposive sampling technique. The subject of this research was a pre-service mathematics teacher who had taken a geometry course. The data analysis techniques used in this study were data condensation, data display, drawing and verifying conclusions. The research results showed that the participant used epistemic actions in an abstraction, such as recognising each quadrilateral type, building-with their properties, constructing relationships among them, and consolidating the abstract results made. Thus, the abstraction in constructing relationships among quadrilaterals can be observed from the epistemic actions: recognising, building-with, constructing, and consolidation, known as RBC+C.
Abstractor: As Provided
Entry Date: 2024
Accession Number: EJ1428015
Database: ERIC
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  Data: <searchLink fieldCode="AR" term="%22Hodiyanto%22">Hodiyanto</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0001-9371-1845">0000-0001-9371-1845</externalLink>)<br /><searchLink fieldCode="AR" term="%22Mega+Teguh+Budiarto%22">Mega Teguh Budiarto</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-9052-3141">0000-0002-9052-3141</externalLink>)<br /><searchLink fieldCode="AR" term="%22Rooselyna+Ekawati%22">Rooselyna Ekawati</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-2646-9064">0000-0002-2646-9064</externalLink>)<br /><searchLink fieldCode="AR" term="%22Gemi+Susanti%22">Gemi Susanti</searchLink> (ORCID <externalLink term="https://orcid.org/0009-0008-7953-9549">0009-0008-7953-9549</externalLink>)<br /><searchLink fieldCode="AR" term="%22Jeonghyeon+Kim%22">Jeonghyeon Kim</searchLink> (ORCID <externalLink term="https://orcid.org/0009-0007-5819-6092">0009-0007-5819-6092</externalLink>)<br /><searchLink fieldCode="AR" term="%22Ebenezer+Bonyah%22">Ebenezer Bonyah</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0003-0808-4504">0000-0003-0808-4504</externalLink>)
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  Data: <searchLink fieldCode="SO" term="%22Journal+on+Mathematics+Education%22"><i>Journal on Mathematics Education</i></searchLink>. 2023 15(2):339-362.
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  Data: Indonesian Mathematical Society. Jl. Padang Selasa 524, Palembang, South Sumatra 30139, Indonesia. Tel: +618-127-106777; Fax: +627-113-20310; Web site: http://jme.ejournal.unsri.ac.id/index.php/jme
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  Data: 24
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  Data: <searchLink fieldCode="DE" term="%22Preservice+Teachers%22">Preservice Teachers</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Skills%22">Mathematics Skills</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Logic%22">Mathematical Logic</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+Concepts%22">Geometric Concepts</searchLink><br /><searchLink fieldCode="DE" term="%22Thinking+Skills%22">Thinking Skills</searchLink><br /><searchLink fieldCode="DE" term="%22Abstract+Reasoning%22">Abstract Reasoning</searchLink><br /><searchLink fieldCode="DE" term="%22Epistemology%22">Epistemology</searchLink><br /><searchLink fieldCode="DE" term="%22Definitions%22">Definitions</searchLink><br /><searchLink fieldCode="DE" term="%22Problem+Solving%22">Problem Solving</searchLink>
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  Data: 2087-8885<br />2407-0610
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Abstraction is essential to learning mathematics because the mathematical concepts obtained through abstraction will be more meaningful than directly receiving these concepts. This study aims to describe the pre-service teachers' abstraction in constructing relationships among quadrilaterals. This research method was explorative qualitative research with a purposive sampling technique. The subject of this research was a pre-service mathematics teacher who had taken a geometry course. The data analysis techniques used in this study were data condensation, data display, drawing and verifying conclusions. The research results showed that the participant used epistemic actions in an abstraction, such as recognising each quadrilateral type, building-with their properties, constructing relationships among them, and consolidating the abstract results made. Thus, the abstraction in constructing relationships among quadrilaterals can be observed from the epistemic actions: recognising, building-with, constructing, and consolidation, known as RBC+C.
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  Data: As Provided
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  Data: 2024
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  Data: EJ1428015
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    Languages:
      – Text: English
    PhysicalDescription:
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        PageCount: 24
        StartPage: 339
    Subjects:
      – SubjectFull: Preservice Teachers
        Type: general
      – SubjectFull: Mathematics Skills
        Type: general
      – SubjectFull: Mathematical Logic
        Type: general
      – SubjectFull: Geometric Concepts
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      – SubjectFull: Thinking Skills
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      – SubjectFull: Abstract Reasoning
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      – SubjectFull: Problem Solving
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      – TitleFull: How Abstraction of a Pre-Service Teacher in Constructing Relationships among Quadrilaterals
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