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Journal : Enrichment: Journal of Multidisciplinary Research and Development

Piagetian Abstraction Processes of a Field Independent Male Student in Reconstructing the Cuboid Concept Wijaya, Henry Putra Imam; Budayasa, I Ketut; Lukito, Agung
Enrichment: Journal of Multidisciplinary Research and Development Vol. 3 No. 1 (2025): Enrichment: Journal of Multidisciplinary Research and Development
Publisher : International Journal Labs

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55324/enrichment.v3i1.350

Abstract

This study aims to describe how a masculine junior high school boy with a field independent cognitive style abstracts step by step the concept of a cuboid while reconstructing it. The research adopted a qualitative descriptive approach focused on a single Grade IX student, coded AF, who met two criteria: a high score on the Group Embedded Figures Test indicating field independence and a masculine profile on the Bem Sex Role Inventory. Data were gathered through task based interviews and direct observation as AF classified concrete objects, interpreted two dimensional drawings, and attempted to create a formal definition of a cuboid. All sessions were recorded, transcribed, and processed through the phases of reduction, display, and conclusion drawing in order to align each episode with Piaget’s sequence of empirical, semi empirical, and reflective abstraction. Analysis revealed a clear three step progression. In the empirical phase AF decided whether a solid was a cuboid by listing six rectangular faces, twelve edges, and eight vertices, presenting these facts as separate items without explaining relationships among them. During the semi empirical phase, accuracy improved when he handled drawings: he corrected earlier edge counts, insisted on rectangular faces, and dismissed colour and scale as irrelevant. Reflective abstraction emerged when he produced a concise definition, identified the cube as a special cuboid, supplied a numerical example measuring ten by five by five centimetres, and linked the concept to familiar objects such as cardboard boxes and cupboards. Throughout the sessions his field independent style marked by selective attention, systematic counting, and self monitoring helped him move quickly from perceptual sorting to conceptual reasoning. The study offers detailed evidence that field independence supports smooth movement through Piaget’s abstraction hierarchy by enabling learners to impose internal structure on external stimuli. It strengthens the theoretical claim that mathematical understanding grows gradually from concrete observation toward formal reasoning and provides practical insight for geometry teaching: tasks that highlight structural invariants can capitalise on analytic strengths in field independent students while also serving as scaffolds for peers who depend more heavily on contextual cues.
Co-Authors ABADI Addinda Nur Ameliyah AFFIATI OKTAVIARINA Agis Sagita Widyaningrum AGUNG LUKITO Agung Lukito Agung Lukito Agung Lukito Agung Lukito Agung Lukito Nusantara Ahmad Isroil Ahmad Isroil, Ahmad Altika Dwi Mawarni Syah Andi Mariani Ramlan ANGGAWATI IMANNIYAH ANGGRAINI SULISTYA, DITA Anggraini, Evi ANGGUN WARDHANI, DEVY Aning Wida Yanti Annisa Ajeng Kusumastuti ANNISA DWI KURNIAWATI Ardila Septiana Putri Arwanto Arwanto Astri Widyawati Sulistyo Cahyani Ayu Nur Hidayah A’yunin Sofro Budi Priyo Prawoto Budiyanto Budiyanto Dede de Haan DEVY ANGGUN WARDHANI Dewi, Karina Wahyu Dia Lestari Didik Sugeng Pambudi Dinda Anisa' Nur Fadlilah DITA ANGGRAINI SULISTYA Dooren Quintasari Dwi Ivayana Sari Dwi Ivayana Sari, Dwi Ivayana Dwi Juniati Dwi Juniati Dwi Juniati Dwi Juniati Dwi Juniati Dwi Pramesti, Retna ENDANG PURBANINGRUM Endang Purbaningrum EVI ANGGRAINI E’en Rochaini Fatimatus Zahro Fiantika, Feny Rita Fitriyanti, Fitriyanti Hengky, SH Hery Suharna Hidayah Ansori Hutrisah SM Sitohang I Wayan Puja Astawa Ida Dwijayanti Ismail IZDIHAR KAMILA RAHMATIKA SURYA CANDRA Jafar Jafar Juwita Marlinda Sari KAMILA RAHMATIKA SURYA CANDRA, IZDIHAR Karina Wahyu Dewi Kiki Henra Lathiful Anwar Latifah Nuryah Lilik Fepila Lilla Afifah Luqyana Dhiya Amira M. J. Dewiyani Sunarto Ma'allaili, Serlly Hindun Manuharawati MASRIYAH Masriyah Masriyah Mawaddah, Aisy Rohmah Najahy Mega Teguh Budiarto Megacelia Maharani Mia Saskia Miftakhul Jannah Misu, La Moh. Hafiyusholeh Mohammad Edy Nurtamam, Mohammad Edy Muhammad Afifuddin Otniel Sukma Priyambodo Pradana, Raditya Bagus Gilang RADEN SULAIMAN Raden Sulaiman Rahaju, Endah Budi Ria Fibriana Sari Rosdiana Rosdiana Rosdiana Rosdiana RUDIANTO ARTIONO, RUDIANTO Sabita Ellania Rahmah Saleh Saleh Saleh Saleh, Saleh Salsabila, Unik Hanifah Salwa Yuliantina Sari, Ria Fibriana Sely Purwanti Ningsih Septi Triyani Setianingsih, Rini Siti Khabibah Siti Maghfirotun Amin Siti Rois'satul Azmil Siti Suparmi Sri Joeda Andajani Sri Joeda Andajani Sri Subarinah St. Suwarsono Sukma Kusuma Ambarwati Susanah Susanah Tatag Yuli Eko Siswono Umi Hanifah Wagino Wagino Wihda Urfita Syafiti Wijaya, Henry Putra Imam Yuliantina, Salwa Yuliyati Yuliyati Yunianti, Dwi Nur Zahro, Fatimatus