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Cecil Hiltrimartin
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Humanities Computer Science & IT Economics, Econometrics & Finance Education Engineering Environmental Science Languange, Linguistic, Communication & Media Library & Information Science Mathematics Physics Public Health Social Sciences Other

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Tracing elementary students’ learning trajectories of surface area in museum-based activities Octaria, Dina; Zulkardi; Putri, Ratu Ilma Indra; Hiltrimartin, Cecil
Jurnal Elemen Vol 12 No 1 (2026): January
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v12i1.33240

Abstract

Understanding the surface area of three-dimensional shapes remains challenging for elementary students, particularly in distinguishing between area and perimeter and in connecting two-dimensional representations to three-dimensional objects. This study aims to trace elementary students’ learning trajectories on the surface area of cubes and cuboids through museum-based activities to support spatial literacy development. The study employed a design research methodology with a validation study approach, consisting of preliminary design, a pilot experiment, a teaching experiment, and a retrospective analysis. Participants were 44 fifth-grade students from an elementary school in Palembang, Indonesia. Data were collected through classroom observations, students’ worksheets, video recordings, and interviews, and analyzed qualitatively by comparing the Hypothetical Learning Trajectory (HLT) with the Actual Learning Trajectory (ALT). The results show that the museum context supported students’ spatial visualization, reasoning, and communication by enabling them to identify geometric attributes of artefacts, construct and validate nets, and derive surface area formulas through guided reinvention. The targeted use of Augmented Reality (AR) further supported students during critical transitions between two-and three-dimensional representations. The synthesis of the HLT and ALT yielded a validated Learning Trajectory, which was abstracted into a Local Instructional Theory (LIT) for teaching surface area in elementary geometry.
Co-Authors Adeulliah, Novie Agustarina, Mitta Araiku, Jeri Aziza, Difa Azka, Dea Alvionita Azka, Dea Alvionita Basa, Zahra Alhumairah Darmawijoyo, Darmawijoyo Desvitasari, Tria Dina Octaria Dina Octaria Diva, Karen Dwi Budi Santoso Ely Susanti Ely Susanti, Ely Erpina, Reppy Ety Septiati Farida Aryani Fauzie, Fauzie Firaisti, Sicilia Freti Lesiana Giani Giani Hadi Nasbey Hapizah Ida Sriyanti Indaryanti Indaryanti Ismet Ismet, Ismet Ketang Wiyono Kodri Madang Komariyatiningsih, Novi Kurniadi, Elika Made Sukaryawan Maharani, Annisa Dwi Maharani, Levana Manulang, Lilis Sri Jayanti Meilinda Meilinda Meriza, Dyna Meryansumayeka Meryansumayeka Muhamad Ikhsan Sahal Guntur Mulyono, Budi N. Fahriza Fuadiah Najmi Wahyuni Norma Setiawati, Norma Novi Komariyatiningsih Nurul Ain Safura Nurwijayanti Nyimas Aisyah Nyimas Aisyah Okta, Miko Oktaria, Pelinsia Oktaviani, Sherly Pratiwi, Weni Dwi Putri, Amelia Defrianti Putri, Debi Suci Rahma Amsar Napenty Rahma Siska Utari Ramandani, M. Rizky Ratu Ilma Indra Putri Riduan, Lindawaty Safegi, Jihan Della Sanita, Eka Sari, Arika Sari, Nopi Nopa Sary Silvhiany Scristia Scristia, Scristia Somakim, Somakim Sri Sumarni Sukmaningtyas, Novika Susanty, Ely Theresia Ingga Sari titin wijayanti Utami, Putri Indah Widioktafarani, Hanny Wulandari, Trisna Yenny Anwar Yesi Arianti, Yesi Yusuf Hartono Zuli Nuraeni Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi