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Constructing the Concept of Geometric Transformation through APOS Theory: A Perspective on Learning Readiness

Edumatica : Jurnal Pendidikan Matematika · Vol. 15 No. 2 (2025) · hlm. 157–175

DOI
10.22437/edumatica.v15i2.43166
ISSN
2580-0779, 2088-2157
Terbit
2025-07-25
Penerbit
Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Jambi
Bahasa
en
Lisensi
creativecommons.org/licenses/by-nc-sa/4.0

Abstrak

Concept construction is essential for developing mathematical abilities such as conceptual understanding and problem-solving. The APOS theory (Action, Process, Object, Scheme) offers a framework for conceptual development through mental activity sequences. A key factor influencing concept construction is students’ learning readiness, which is strongly tied to their initial abilities. This study investigates the relationship between learning readiness and concept construction, as well as describes students’ concept construction profiles based on APOS theory. Employing a mixed-method approach with an explanatory sequential design, the study involved 34 eleventh-grade students from a public high school in Gresik. Data collection techniques included cognitive diagnostic assessments, written tests, think-aloud protocols, interviews, and classroom observations. Quantitative data were analyzed using regression and correlation analyses, while qualitative data were processed through reduction, display, and conclusion drawing. Findings revealed a very strong, positive correlation (r=0.9046) between learning readiness and concept construction, suggesting that higher readiness aligns with more complex conceptual structures. Additionally, three profiles emerged: students with advanced readiness displayed complete analytical constructions; those developing readiness showed pseudo-complete constructions; and newly developing students exhibited incomplete geometric constructions. Future studies should explore APOS-based instructional models tailored to readiness levels and validate findings across broader mathematical topics and grade levels.

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Sumber metadata: OAI-PMH (metadata jurnal) https://online-journal.unja.ac.id/index.php/edumatica/oai, pertama di-harvest 6 Nov 2026, terakhir terlihat 6 Nov 2026.
Metadata asli (oai_dc)
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	<dc:title xml:lang="en">Constructing the Concept of Geometric Transformation through APOS Theory: A Perspective on Learning Readiness</dc:title>
	<dc:creator xml:lang="en">Fauziyah, Nur</dc:creator>
	<dc:creator xml:lang="en">Wahyunita, Elsa Nur</dc:creator>
	<dc:subject xml:lang="en">APOS theory</dc:subject>
	<dc:subject xml:lang="en">concept construction</dc:subject>
	<dc:subject xml:lang="en">geometric transformation</dc:subject>
	<dc:subject xml:lang="en">learning readiness</dc:subject>
	<dc:description xml:lang="en">Concept construction is essential for developing mathematical abilities such as conceptual understanding and problem-solving. The APOS theory (Action, Process, Object, Scheme) offers a framework for conceptual development through mental activity sequences. A key factor influencing concept construction is students’ learning readiness, which is strongly tied to their initial abilities. This study investigates the relationship between learning readiness and concept construction, as well as describes students’ concept construction profiles based on APOS theory. Employing a mixed-method approach with an explanatory sequential design, the study involved 34 eleventh-grade students from a public high school in Gresik. Data collection techniques included cognitive diagnostic assessments, written tests, think-aloud protocols, interviews, and classroom observations. Quantitative data were analyzed using regression and correlation analyses, while qualitative data were processed through reduction, display, and conclusion drawing. Findings revealed a very strong, positive correlation (r=0.9046) between learning readiness and concept construction, suggesting that higher readiness aligns with more complex conceptual structures. Additionally, three profiles emerged: students with advanced readiness displayed complete analytical constructions; those developing readiness showed pseudo-complete constructions; and newly developing students exhibited incomplete geometric constructions. Future studies should explore APOS-based instructional models tailored to readiness levels and validate findings across broader mathematical topics and grade levels.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Jambi</dc:publisher>
	<dc:date>2025-07-25</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://online-journal.unja.ac.id/edumatica/article/view/43166</dc:identifier>
	<dc:identifier>10.22437/edumatica.v15i2.43166</dc:identifier>
	<dc:source xml:lang="en">Edumatica : Jurnal Pendidikan Matematika; Vol. 15 No. 2 (2025): Edumatica: Jurnal Pendidikan matematika (August 2025); 157-175</dc:source>
	<dc:source xml:lang="id">Edumatica : Jurnal Pendidikan Matematika; Vol 15 No 2 (2025): Edumatica: Jurnal Pendidikan matematika (Agustus 2025); 157-175</dc:source>
	<dc:source>2580-0779</dc:source>
	<dc:source>2088-2157</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://online-journal.unja.ac.id/edumatica/article/view/43166/21721</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2025 Nur Fauziyah, Elsa Nur Wahyunita</dc:rights>
	<dc:rights xml:lang="en">http://creativecommons.org/licenses/by-nc-sa/4.0</dc:rights>
</oai_dc:dc>