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Cecil Hiltrimartin

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Author-ID : 282124

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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Investigating lower secondary school students’ geometric argumentation structure using Toulmin model Ramandani, M. Rizky; Hartono, Yusuf; Hiltrimartin, Cecil; Aisyah, Nyimas
Jurnal Elemen Vol 10 No 2 (2024): May
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v10i2.24116

Geometric argumentation has an important role in solving mathematical problems in geometric material, so students must have this ability. Each student has different thoughts, including when stating arguments. Each student's arguments will vary and be at different levels. This study aims to determine the levels of lower secondary school students' geometric argumentation. This research was conducted in a lower secondary school involving 20 ninth-grade students. Students participating in this study were asked to work on geometry problems related to proof. Through the proofs carried out, the argumentation structure owned by students is visible. The structures of argumentation given by the students were then analysed using Toulmin's model of argumentation. The components of the Toulmin model used consist of claim, data, warrant, and backing. The results of the analysis of the proof prepared by the students stated that some of the students have been able to reach a high level of geometric argumentation and can compile a series of proofs. But not a few of them also have difficulty compiling the proof, have difficulty providing the components of the Toulmin model, and make some mistakes. Errors made by students include symbol writing errors, calculation errors, and others.

Microlearning-based media of probability: An innovative student worksheet Novi Komariyatiningsih; Yusuf Hartono; Ratu Ilma Indra Putri; Cecil Hiltrimartin
Jurnal Elemen Vol 11 No 2 (2025): April
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v11i2.27600

The constraint on reasoning ability among Indonesian mathematics students is a pressing issue. Several study results show that students' low mathematical reasoning is due to a lack of conceptual understanding of the material being studied. Probability is one of the materials that can help mathematical reasoning. There is a sample space that requires students' reasoning ability to determine all possible outcomes. This study aims to design a microlearning-based learning on probability material using the culinary tourism context of Prabumulih City that is integrated into student worksheet, which is valid and practical to help students learn the probability in phase E and train their reasoning skills by PMRI (Indonesian Realistic Mathematics Education). This study was a qualitative method of development study type, consisting of two stages: preliminary study and formative evaluation. The subject of this study was 36 tenth-grade. The data collection techniques were observation, tests, and interviews, which were analyzed descriptively. This research produced a student worksheet that was valid and practical and integrated with microlearning media (comic, video) on probability material using the culinary tourism context of Prabumulih City, Indonesia. Based on data analysis, this worksheet can improve students' conceptual understanding and reasoning abilities.

Developing a PMRI-based augmented reality learning trajectory to support students’ problem-solving skills in circle geometry Wulandari, Trisna; Susanti, Ely; 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.v12i1.32435

This study reports a validation study within design research aimed at developing a PMRI-based augmented reality (AR) learning trajectory to support high school students’ problem-solving skills in circle geometry. The subjects of this study were 35 eleventh-grade students at a senior high school in Palembang. The research employed a design research methodology, specifically a validation study, consisting of three phases: preliminary design, design experiment, and retrospective analysis. Data were collected from worksheets, classroom observations, and problem-solving tests, and analyzed descriptively using qualitative and quantitative approaches. This study produced a learning trajectory consisting of a sequence of contextual and AR-assisted learning activities that guided students from exploring real-world circular situations to formal circle concepts. The implementation of this trajectory resulted in measurable improvements in students’ problem-solving skills, as indicated by an increase in mean test scores from 19.37 in the pre-test to 66.51 in the post-test. Students demonstrated strong performance in understanding problems, devising solution plans, and carrying out solution strategies, with achievement percentages ranging from 71% to 100% on these indicators. However, students’ evaluation and reflection skills remained relatively low, indicating the need for greater emphasis on reflective activities within the learning trajectory.

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

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 Latipia Damayanti Made Sukaryawan Maharani, Annisa Dwi Maharani, Levana Manulang, Lilis Sri Jayanti Meilinda Meilinda Meriza, Dyna Meryansumayeka Meryansumayeka Muhamad Ikhsan Sahal Guntur Mulyono, Budi Mutia Qodra, Laili N. Fahriza Fuadiah Najmi Wahyuni Norma Setiawati, Norma Novi Komariyatiningsih Nurul Ain Safura Nurwijayanti Nyimas Aisyah Nyimas Aisyah Okta, Miko Oktaria, Pelinsia Oktavia, Mitra 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 Wati, Destiana Wati, Destieana Widioktafarani, Hanny Wulandari, Trisna Yenny Anwar Yesi Arianti, Yesi Yusuf Hartono Zuli Nuraeni Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi

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