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Analysis of Junior High School Students’ Learning Obstacles on Polyhedron Material Reviewed from the Pirie–Kieren Theory Safuan, Safuan; Fadillah, Syarifah; Risalah, Dewi
Journal of Educational Sciences Vol. 10 No. 5 (2026): Journal of Educational Sciences
Publisher : FKIP - Universitas Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31258/jes.10.5.p.36-50.

Abstract

This study is motivated by the low level of junior high school students’ understanding of three-dimensional geometry (solid shapes) and the need for a theoretical framework capable of explaining the dynamics of conceptual development more comprehensively. This research aims to analyze learning obstacles and the growth trajectory of students’ understanding using the Pirie–Kieren theory. The study employed a qualitative approach involving diagnostic tests, clinical interviews, observations, and analyses of student learning artifacts, validated through source triangulation, methodological triangulation, and expert confirmation. The findings show that students’ understanding develops non-linearly, with most students remaining at the Property Noticing level, characterized by difficulties in 2D–3D visualizations, conceptual reasoning, and multimodal coordination. The phenomenon of folding back consistently appears as a mechanism for reconstructing understanding when students encounter representational or conceptual conflicts. The analysis indicates the predominance of representational, epistemological, and didactic obstacles that hinder students’ transition toward formal understanding. In conclusion, the Pirie–Kieren theory effectively maps the development of students’ understanding and reveals the root causes of learning barriers in geometry. The study’s implications highlight the importance of representation-based learning design, reasoning scaffolding, and facilitating productive folding back to support deeper geometric understanding.
Co-Authors ., Budiandru Abdul Haeba Ramli Adi Nugroho Adinullhaq, Juyus Muhammad Agung Kuncoro Budi Ahmad Ilham Ahmad Nurpuad Ahyana, Afan Arga Akhmad Fathurohman Akhmad Fathurrohman Alexander, Yulian ALFAHMI RISTIANTO Alhabsy, Musa Alkadhim Alkadhim Alhabshy, Musa Alkadhim Alhabsy, Musa Andhika Ramanda Andhika Ramanda Andreas Anggana, Muhammad Wahyu Anisa Nurul Melinia Annisa Insyaroh Lu’luil Maknun Ardhani, Yevi Alviatul ARIEF RISTIA PENGESTU Ariyanto Kusuma Ariyanto Kusuma Ariyanto, Nova Arumsari, Maria Dewi Aryanda Aryanda Aryani Aryani Az Zahra, Ullayah Fathina Budhi Hascaryo Iskandar Budi, Agung Kuncoro Budiandru . Budiandru Budiandru Budiandru Budiandru Budiandru, Budiandru Cahyandaru, Paulus Chicie Cornellius, Josephin Cut Ita Zahara, Cut Ita Darmawan Apriyadi, Darmawan David Christian Dea Maulidta Deni Rahman Destriana, Rachmat Dhendra Marutho Dhia Rizki Atthar, Aura Dian Ayu Puspita Didiet Soediyoto Dini Cahyandari Dodi Mulyadi Ebeneser, Auriand Edi Hamdi Elmie, Elmie Erwin Faiq Madani Farah Salsabila Nazhifah Fatemma Azzahra Fathurahman, Akhmad Fauzan, Alfian Kurnia Febrianto Febrianto, Febrianto Fiqriyah, Firra Firmasyah, Teguh Gorlyana, Winna Dwi Habsari, Safa Putri Hadisaputra Hadisaputra Hafnati, Nurul Halizah, Insani Nur Hamdi , Edi Hani Septiani Hani Septiani Hendra Utama Hendrik Hendrik Hendy Tannady Hidayanti, Linna Ika Amalia, Ika Ilham, Ahmad Indah Mardiana Iqbal Hidayatsyah Noor Irma Oktaviani, Irma Irman Hermadi Ismartaya Ismartaya Ismartaya, Ismartaya Ismiati Nurul Habibah Janson Pangaribuan Jayawarsa, A.A. Ketut Juan William Juan William Kartini, Tini Kasmir Kasmir Kasmir Kasmir, Kasmir Khaqim Nurjawahir Khoerunnisa, Ririn Kindarto, Asdani Kurnia, Janu Yogi Lilianti, Ananda Lita Noveria Lukman Assaffat Luqman Assaffat Luqman Assaffat M. Azmi Lesmana Mala Septiani Malviyola el barqa Mamdukh Budiman Mardiana, Tina Meidina, Indira Meries Muhammad MEYDIA MEYDIA Mia Umniyyaatus Sa’adah Ibnu Nawawiyah Mohamad Arief Budiana Muallifah, Siti Muhammad Faisal Tuheteru Muhammad Munsarif Muhammad Sam'an Muhammad Sam’an Munsarif, Muhammad Musa Alkadhim Alhabshy Musa Alkadhim Alhabshy Musa Alkhadim Alhabsy Musa Alkhadimi Alhabsy Musa Musa Najikha, Anggi Uswatun Najla Mahirah Asmedi Nawawiyah, Mia Umniyyaatus Sa’adah Ibnu Nina Lestari Nina Lestari Nopinus Andereas Purba Noviansyah, Marendra Nugroho, Pulung Adi Nugroho, Reesky Adi Nur Afni Safarina Nur Afni Safarina, Nur Afni Nur Hasanah Nur, Aufa Rafika Nurfalah, Siti Nurmantoro, Irvan Nurpuad, Ahmad Pambudi, Yoga Aditya Paradiba Paradiba Pawenary, Pawenary Prameswary, Hanalia Pramuja Sigit Wahono Primasatria Edastama, Primasatria Pulung Adi Nugroho Purba, Nopinus Andereas Purwa Saputra, Datep Qonita, Sarah Rahadyan Sadewa, Robby Ramadhani, Arfido Ramadhani, Rima Dias Riaventin, Veterina Nosadila Rijal Wakhid Rizkillah Rilasanti, Estu Aulia Rini Alawiyah Rini Rini Risalah, Dewi Risma Indriyanti Riyanto Riyanto Rizqia, Almira Roviuddin Roviuddin Rupiah, Sri Nikmatu Ryan Aldi Prasetiyo Sabana, Syofyan Hardi Safa Putri Habsari Safitri, Dina Sallza Azzahra, Ravica Sam’an, Muhammad Sarania, Laura Sarfudin, Slamet Sinurat, Posma Siti Nurfalah Sobirin Sobirin Subagyo, Imam Suphita Yasoladdha Widjaja Suteja, Tanti Syaifani, M. Amin Syarifah Fadilah Takrim, Muhammad Tamba, Wilton Tanti Suteja Tantri Yanuar Rahmat Syah Taufik Hidayat Tedi Kurnia Tedy Herdian Teku Dede Ariyanto Tihurua, Nurul Inayah Titin Hasanah Titin Hasanah Tondi Alkadri Trisnawati, Nurul Ukiwandono, Ardian Usman Putranto Utomo, Cicilia San San Indah Nilla Utomo, Satrio Valenthreeas Hijriyana Victoria, Irene Wendy Sarasjati Widjaja, Suphita Yasoladdha Widodo Widodo Widodo Widodo Wijaya, Mirza Mahbub Willi Willi Willi, Willi Winahyu supriyatno Wulan, Indra Yara Andita Anastasya Yoga Aditya Pambudi Yudhatama, Thoriq Firza Yulian Alexander Yuniar, Mila Yusnaini Yusnaini Zikri, Afdhalul