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All Journal AKSIOMA: Jurnal Program Studi Pendidikan Matematika Jurnal Elemen
Cecil Hiltrimartin
Sriwijaya University
Education Mathematics Other

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Students’ errors in solving climate change context mathematical modeling problems Mursyidah J Parandrengi; Cecil Hiltrimartin
Jurnal Elemen Vol 9 No 2 (2023): July
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v9i2.11422

Abstract

This research is a descriptive study that aims to describe the errors of students of the Faculty of Education and Teacher Training (FKIP), Sriwijaya University, in solving Climate Change context mathematical modeling problems, to minimize errors made in solving mathematical modeling problems, especially in the context of climate change in the future. No one has researched student errors in solving mathematical modeling problems in the Climate Change context using the Newman error procedure. Data collection techniques used in this study included tests and semi-structured interviews. The data analysis technique used for test data is by analyzing errors using the Newman procedure. The results of this study with 52 participants were types of errors by FKIP Sriwijaya University in solving Climate Change context mathematical modeling problems as follows for question 1 and question 2, and respectively there were 23.1% and 15.4% errors in understanding the problem, 46.2% and 96.2% transformation errors, 32.7% and 96.2% writing. The causes of errors are errors in reading, errors in determining the problem and existing information, errors in making assumptions, errors in identifying variables, and errors in making mathematical models.
PENGEMBANGAN LKPD FUNGSI KUADRAT BERBASIS PEMBUKTIAN DENGAN MODEL ARGUMENTASI TOULMIN UNTUK MEMFASILITASI KEMAMPUAN ARGUMEN MATEMATIS Debi Suci Putri; Cecil Hiltrimartin; Yusuf Hartono; Nyimas Aisyah
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 13, No 4 (2024)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v13i4.9181

Abstract

Riset berikut tujuannya guna memperoleh LKPD berbasis pembuktian fungsi kuadrat di SMA yang valid dan praktis serta mempunyai efek potensial pada kemampuan argumentasi matematis pelajar. Riset diperlukan lantaran kemampuan argumentasi matematis pelajar yang termasuk rendah dan belum adanya bahan ajar yang dapat mendukung kemampuan argumentasi matematis pelajar. Jenis riset yang dipakai ialah studi pengembangan bermodel Tessmer yang tersusun atas evaluasi pendahuluan dan formatif. Subjek dalam riset yakni pelajar kelas X SMA Muhammadiyah 1 Palembang semester ganjil tahun ajaran 2023/2024. Teknik pengumpulan data yang dipakai pada riset berikut yakni kuesioner, wawancara, dan tes. Validitas LKPD berbasis bukti dicermati melalui 3 faktor yakni konstruk, isi, serta bahasa yang terdapat pada lembar validasi dalam tahapan expert review dan sesuai masukan/komentar dari hasil percobaan one to one. Kepraktisan LKPD berbasis bukti yang terlihat dari hasil hitung kuesioner yang diberi dalam tahapan kelompok kecil. Hasil riset memaparkan bahwasanya pengembangan LKPD mempunyai persentase kevalidan 87,17% dengan kriteria sangat valid dan persentase kepraktisannya 84,5% dengan kriteria sangat praktis. Sehingga dapat disimpulkan bahwa LKPD yang dikembangkan valid dan praktis serta mempunyai efek potensial pada kemampuan argumentasi matematis pelajar yang terlihat dari hasil analisis data tes dengan rata-rata argumentasi pelajar berada pada level 4 (argumentasi siswa disusun dengan baik). The following research aims to obtain proof-based student worksheet on quadratic functions in high school that is valid and practical and has a potential effect on students' mathematical argumentation abilities. The following research is needed because students' mathematical argumentation abilities are low and there are no teaching materials that can support students' mathematical argumentation abilities. The type of research used is a development studies with Tessmer model which is composed of preliminary and formative evaluations. The subjects used in the following research are class X students of Muhammadiyah 1 Palembang Senior High School odd semester of the 2023/2024 academic year. The data collection techniques used in the following research are questionnaires, interviews and tests. The validity of proof-based student worksheet is examined through 3 factors, namely construct, content and language contained in the validation sheet in the expert review stage and according to suggestions/comments from the results of one to one experiments. The practicality of proof-based student worksheet that can be seen from the results of calculating questionnaires given in the small group stage. The research results show that the development of student worksheet has a validity percentage of 87.17% with very valid criteria and a practical percentage of 84.5% with very practical criteria. So it can be concluded that the developed LKPD is valid and practical and has a potential effect on students' mathematical argumentation skills as seen from the results of test data analysis with the average student argumentation at level 4 (student argumentation is well organized).  
Developing a PMRI-based augmented reality learning trajectory to support students’ problem-solving skills in circle geometry Trisna Wulandari; Ely Susanti; Cecil Hiltrimartin
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

Abstract

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 Dina Octaria; Zulkardi; Ratu Ilma Indra Putri; Cecil Hiltrimartin
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 Debi Suci Putri Dina Octaria Ely Susanti Mursyidah J Parandrengi Nyimas Aisyah Ratu Ilma Indra Putri Trisna Wulandari Yusuf Hartono Zulkardi