Melola Discovery

← Melola Discovery

Open access Journal SINTA 1

How abstraction of a pre-service teacher in constructing relationships among quadrilaterals

Journal on Mathematics Education · Vol. 15 No. 2 (2024) · pp. 339–362

DOI
10.22342/jme.v15i2.pp339-362
ISSN
2407-0610, 2087-8885
Published
2024-02-19
Publisher
Indonesian Mathematical Society
License
creativecommons.org/licenses/by/4.0

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.

Collaboration network of the authors

40 authors · 103 co-authorship links · 43 across different organisations · showing the 40 most connected

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Universitas Negeri Surabaya
  • Universitas Pasundan
  • National Taiwan Normal University
  • Dankook University
  • University of Skills Training and Entrepreneurial Development
  • State University of Jakarta
  • Eszterhazy Karoly Catholic University
  • Other organisations
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Tatag Yuli Eko SiswonoUniversitas Negeri Surabaya4
Hodiyanto HodiyantoUniversitas Negeri Surabaya4
Daisy Mae R. BongtiwonEulogio "Amang" Rodriguez Institute of Science and Technology4
Ahmad Wachidul KoharUniversitas Negeri Surabaya2
Linda Devi FitrianaState University of Jakarta2
Agung LukitoUniversitas Negeri Surabaya2
Fou-Lai LinNational Taiwan Normal University1
Elly Matul ImahUniversitas Negeri Surabaya1
Siti Maghfirotun AminUniversitas Negeri Surabaya1
Shofan FianggaUniversitas Negeri Surabaya1
Zoltán KovácsEszterhazy Karoly Catholic University1
Mayang DintariniAffiliation unknown1
Yusuf FuadAffiliation unknown1
Camilo Andrés Rodríguez-NietoUniversidad de la Costa1
. SudirmanAffiliation unknown1
Luthfiana TaridaAffiliation unknown1
Rini SetianingsihUniversitas Negeri Surabaya1
Anis Farida JamilAffiliation unknown1
Riyan HidayatUniversiti Putra Malaysia1
Ardi Dwi SusandiIndonesia Open University1
SudirmanAffiliation unknown1
Tommy Tanu WijayaBeijing Normal University1
Susanti SusantiInstitut Agama Islam Negeri Kendari1
Jian-Cheng ChenNational Taipei University of Education1
Kai‐Lin YangNational Taiwan Normal University1
Khoirun NisaUniversitas Negeri Surabaya1
Poppy YaniawatiUniversitas Pasundan1
In In SupiantiUniversitas Pasundan1
Astri Widiastuti HasbiahUniversitas Pasundan1
Nisrina RozaliniUniversitas Pasundan1
Dwi JuniatiUniversitas Negeri Surabaya1
Enny ListiawatiUniversitas Negeri Surabaya1
Muhamad Arif MahdiannurUniversitas Negeri Surabaya1
Rully Charitas Indra PrahmanaUniversitas Ahmad Dahlan1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

This record comes from Crossref (what the publisher deposited), because the journal's own OAI-PMH endpoint could not be harvested.

Metadata source: Crossref API (cadangan, berdasarkan ISSN) https://api.crossref.org/journals/2407-0610/works, first harvested 28 Oct 2026, last seen 8 Nov 2026.
Metadata as oai_dc, converted from Crossref
<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/"><dc:title>How abstraction of a pre-service teacher in constructing relationships among quadrilaterals</dc:title><dc:creator>Hodiyanto</dc:creator><dc:creator>Budiarto, Mega Teguh</dc:creator><dc:creator>Ekawati, Rooselyna</dc:creator><dc:creator>Susanti, Gemi</dc:creator><dc:creator>Kim, Jeonghyeon</dc:creator><dc:creator>Bonyah, Ebenezer</dc:creator><dc:description>&lt;jats:p&gt;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.&lt;/jats:p&gt;</dc:description><dc:publisher>Indonesian Mathematical Society</dc:publisher><dc:date>2024-02-19</dc:date><dc:type>info:eu-repo/semantics/article</dc:type><dc:format>application/pdf</dc:format><dc:identifier>https://doi.org/10.22342/jme.v15i2.pp339-362</dc:identifier><dc:identifier>10.22342/jme.v15i2.pp339-362</dc:identifier><dc:source>Journal on Mathematics Education; Vol 15 No 2 (2024); 339-362</dc:source><dc:source>2407-0610</dc:source><dc:source>2087-8885</dc:source><dc:relation>http://jme.ejournal.unsri.ac.id/index.php/jme/article/download/526/127</dc:relation><dc:rights>https://creativecommons.org/licenses/by/4.0</dc:rights></oai_dc:dc>