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All Journal Jurnal Pendidikan Matematika Journal on Mathematics Education (JME) Journal on Mathematics Education (JME) AKSIOMA: Jurnal Program Studi Pendidikan Matematika Jurnal Pendidikan Matematika JIPMat (Jurnal Ilmiah Pendidikan Matematika) Jurnal Mercumatika : Jurnal Penelitian Matematika dan Pendidikan Matematika Union: Jurnal Ilmiah Pendidikan Matematika Jurnal Analisa PRISMA Jurnal Pengabdian Pada Masyarakat Theorems (The Original Research of Mathematics) Indiktika : Jurnal Inovasi Pendidikan Matematika Teorema: Teori dan Riset Matematika Jurnal Cendekia : Jurnal Pendidikan Matematika Prima: Jurnal Pendidikan Matematika MAJU : Jurnal Ilmiah Pendidikan Matematika JKPM (Jurnal Kajian Pendidikan Matematika) MAJAMATH: Jurnal Matematika dan Pendidikan Matematika Symmetry: Pasundan Journal of Research in Mathematics Learning and Education JUDIKA (JURNAL PENDIDIKAN UNSIKA) Jurnal Abdimas PHB : Jurnal Pengabdian Masyarakat Progresif Humanis Brainstorming ANARGYA: Jurnal Ilmiah Pendidikan Matematika M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika JP3M (Jurnal Penelitian Pendidikan dan Pengajaran Matematika) BIORMATIKA : JURNAL ILMIAH FAKULTAS KEGURUAN DAN ILMU PENDIDIKAN Transformasi : Jurnal Pendidikan Matematika dan Matematika JPMI (Jurnal Pembelajaran Matematika Inovatif) Jurnal Educatio FKIP UNMA Ed-Humanistics : Jurnal Ilmu Pendidikan Pasundan Journal of Mathematics Education : Jurnal Pendidikan Matematika Mosharafa: Jurnal Pendidikan Matematika Sinar Sang Surya: Jurnal Pusat Pengabdian kepada Masyarakat Edumatika JES-MAT (Jurnal Edukasi dan Sains Matematika) Jurnal Didactical Mathematics Prosiding Sesiomadika Journal of Mathematics Instruction, Social Research and Opinion Journal of General Education and Humanities Radian Journal: Research and Review in mathematics Education J-ABDIPAMAS (Jurnal Pengabdian Kepada Masyarakat) Jurnal Pengabdian Pada Masyarakat SJME (Supremum Journal of Mathematics Education)
Kiki Nia sania Effendi
Universitas Singaperbangsa Karawang
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Designing Learning Trajectories for Nets of Polyhedrons through Simulation-Based PBL Elna Mar'atussholihah; Rika Mulyati Mustika Sari; Kiki Nia Sania Effendi
SJME (Supremum Journal of Mathematics Education) Vol 10 No 2 (2026): Supremum Journal of Mahematics Education
Publisher : Fakultas Keguruan dan Ilmu Pendidikan Universitas Singaperbangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35706/sjme.v10i2.13518

Abstract

Students frequently experience difficulties in learning nets of polyhedrons because they must coordinate two-dimensional representations with three-dimensional objects and mentally anticipate folding processes. This study aimed to develop and refine an empirically grounded learning trajectory for nets of polyhedrons by integrating Problem-Based Learning (PBL), contextual simulation, animated videos, and student worksheets. A design research approach was employed through three phases: preliminary design, teaching experiment, and retrospective analysis. The pilot teaching experiment involved six ninth-grade students representing high, moderate, and low levels of mathematical achievement, while the large-scale implementation involved 28 ninth-grade students in a regular classroom. Data were collected through classroom observations, semi-structured interviews, students’ written work, worksheets, learning outcome tasks, and instructional documentation, and were analyzed by comparing predicted responses in the Hypothetical Learning Trajectory with students’ actual learning processes. The findings showed a progressive development from recognizing familiar packaging patterns to visualizing folding processes, distinguishing valid and invalid nets, analyzing relationships among faces and edges, constructing alternative nets, and communicating mathematical justifications. Animated visualization and contextual simulation helped students connect informal experiences with formal geometric concepts, while collaborative investigation and reflection supported the transition from perceptual judgments to structural reasoning. Retrospective analysis produced a refined eight-stage learning trajectory: gift-shop simulation, activation of prior knowledge, animated visualization, identification of valid and invalid nets, collaborative investigation, alternative net construction, presentation and mathematical justification, and reflection and generalization. The trajectory offers a practical and theoretically informed design for supporting conceptual understanding and spatial visualization, although further scaffolding is needed to strengthen students’ written mathematical communication.
Co-Authors Abd. Rasyid Syamsuri Adinda Sahira Alpha Galih Adirakasiwi Amelia Andrie Chaerul Aprianti Nur Alyah atika pratiwi Attin Warmi Ayu Aprilianti Dwi Fani Azfa Nur Aqilah Cut Nuraini Dadang Rahman Munandar Dadang Saparudin Dany Aulia Dhaniec Wahyo Diki Laksono Elna Mar'atussholihah Elva Nuranggraeni elva nuranggraeni Evi Fazzilah Evi Fazzilah Falentine Handiani Fitri Farlina, Ehda Gumilar, Cecep Bermana Sakti Haerudin, Haerudin Haerudin Hamdanah Hamdanah Hanifah Hanifah Humawida Muthianisa Ibrahim Hasan Iim Muhijah Ikhsan Baihaqi Indah Mutiara Cahya Indrie Noor Aini Ine Rahayu Purnamaningsih Intan Larasati Ita rosita Iyan Rosita Dewi Nur Kartini Kartini Karunia Eka Lestari Khoirunisa Aisha Sabrina Khoirunnisa Cahani Khoirunnisa Cahani Komarudin Muhamad Zaelani Kusmayadi, Odang Leli Nurlaeli Lessa Roesdiana Mardotillah Angelina Meida Rosita Merlina Dwi Astuti Mimin Maryati mutia mutia Naflah Aulia Ashaningtyas Nia Imanisa Nuniek Noermala Nur Afifatus Sakiah Nur Ridzkiyah Nur'aini Mar'atush Sholihat Nurul Badriyah Nurul Badriyah R. Euis Sulastri R. Poppy Yaniawati Rafiq Zulkarnaen Ramlah Ratu Firdausi Rahman Ratu Ilma Indra Putri Rika Mulyati Mustika Sari Rina Marlina Risna Dwi Lestari Shofa Raini Fadilah Sholihat, Nur'aini Mar'atush Siti Alip Munaroh Siti Ina Rosyana Siti Nurdiana Siti Romlah Rahmayani Siti Wasillah Djuniakh Sitompul, Marchtina Theresa Sri Mulyaningsih Sri Rizki Hardianti Sutirna Tarizka Ozzi Pratiwi Tedi Setiadi Umaira Arfah Vida Utami Wilya Rahma Tresna WULAN NURAENI Yaniawati, Poppy Yeremita Nurhalin Zulkardi Zulkardi Zulkardi Zulkardi