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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika Jurnal Riset Pendidikan Matematika SIGMA: Jurnal Pendidikan Matematika Math Didactic: Jurnal Pendidikan Matematika Adi Widya : Jurnal Pengabdian Masyarakat Journal of Honai Math Jurnal Inovatif Ilmu Pendidikan Jurnal Pengabdian kepada Masyarakat Nusantara Didaktika: Jurnal Kependidikan Jurnal Kependidikan: Jurnal Hasil Penelitian dan Kajian Kepustakaan di Bidang Pendidikan, Pengajaran dan Pembelajaran Jurnal Riset Guru Indonesia Jurnal Penalaran dan Riset Matematika
Arma Wangsa
Universitas Sembilanbelas November Kolaka
Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Languange, Linguistic, Communication & Media Mathematics Social Sciences Other

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Integrating Popular Digital Contexts into Realistic Mathematics Education: Designing a Hypothetical Learning Trajectory for Arithmetic Sequences and Series Wangsa, Arma; Rahayu, Deti Sri; Wahdaniah, Putri; Umasugi, Sitti Mutia
Journal of Honai Math Vol. 8 No. 3 (2025): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

The integration of popular culture and digital platforms into mathematics learning remains underexplored, limiting the development of meaningful and context-based instructional designs. This study develops a Hypothetical Learning Trajectory (HLT) for arithmetic sequences and series by integrating TikTok into a digital mathematics classroom. The study was conducted within the preliminary design phase of design research using qualitative methods, including literature review, classroom observations, teacher interviews, and expert validation through focus group discussions. The resulting HLT consists of two iceberg models grounded in the principles of Realistic Mathematics Education (RME). Each model contains six sequential activities comprising one contextual situation and five guided mathematical problems. The first model employs viewer-growth data from the TikTok account @raimlaode94 to support students in constructing the arithmetic sequence formula (Un) through repeated addition and ratio tables. The second model uses engagement data from the TikTok account @jeromepolin98 to guide students in deriving the arithmetic series formula (Sn) using structured tables, ratio columns, and visual folding strategies. Both trajectories are collaboratively implemented using Canva to maximize the pedagogical use of digital devices. This study provides a theoretically grounded and scalable framework that connects students’ informal digital experiences with formal mathematical reasoning in technology-enhanced classrooms.
PROSES MATEMATIS SISWA DALAM MENYELESAIKAN MASALAH KONSEP PERBANDINGAN SENILAI BERBASIS OPEN-ENDED PADA KONTEKS POPULER Adis Almaida; Indriani Putri; Mudma Inna; Putri Meilani; Sufri Mashuri; Marniati; Arma Wangsa
SIGMA: JURNAL PENDIDIKAN MATEMATIKA Vol. 17 No. 2: Desember 2025
Publisher : Universitas Muhammadiyah Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26618/a3qt2r71

Abstract

Penelitian ini bertujuan menjelaskan proses matematis siswa secara siklik dalam menyelesaikan masalah konsep perbandingan senilai berbasis open-ended pada konteks populer TikTok. Metode kualitatif deskriptif digunakan pada penelitian ini dengan mengambil 143 subjek, yang kemudian secara purposive dipilih 77 lembar kerja yang mampu menyelesaikan masalah dan dibagi menjadi 8 kelompok proses. Data dikumpulkan melalui tes dan wawancara diagnostik yang dianalisis menggunakan teknik flow model dengan memperhatikan tahapan mathematical modelling. Hasil penelitian menunjukkan ragam proses matematis siswa dalam menemukan solusi. Subjek memahami situasi nyata (real situation) untuk menentukan frame yang cocok dengan ukuran gambar. Berdasarkan informasi tersebut, subjek membangun asumsi dalam bentuk representasi verbal, numerik, simbol, dan visual (real world model). Representasi tersebut diasosiasikan dan dioperasikan mengikuti prinsip dan konsep matematika (perbandingan rasio, perbandingan skala sisi, perkalian silang, perkalian dengan skala, kelipatan, dan pola pengurangan berulang) (mathematical model) untuk menghasilkan solusi (mathematical result). Solusi yang diperoleh direfleksikan kembali ke real situation dengan memutuskan frame yang berbanding senilai dengan ukuran gambar. Konteks populer TikTok pada penelitian ini berhasil menjadi daya tarik budaya digital yang mengaktifkan keterampilan berpikir siswa serta menstimulasi tanggapan kreatif dalam pemecahan masalah.
Students' Mathematical Processes In Solving Open-Ended Problem Using Popular Context (Tiktok: Ci Mehong) Arma Wangsa; Chairuddin Chairuddin; Sitti Mutia Umasugi
Jurnal Riset Pendidikan Matematika Vol. 13 No. 1 (2026): May 2026
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/jrpm.v13i1.84510

Abstract

This study aims to explain students' mathematical processes in solving open-ended problems using a popular context from TikTok, specifically involving the calculation of the size of legit layer cake pieces as presented by the TikTok user Ci Mehong. Descriptive qualitative method is the research paradigm used to explain the mathematical process. The subjects were 81 eleventh-grade students who were instructed to take the test. Data collection was carried out by giving tests and diagnostic interviews conducted at the same time when students answered the questions, then the data were analyzed using a combination of thematic analysis techniques and flow models based on mathematical modeling indicators. The results showed numerical, graphical, algebraic, and verbal representation forms in the real situation-real world model process. In the real world model-mathematical modeling process, students demonstrated the use of diverse mathematical concepts, including cuboid volume, geometric sequences, exponents, and arithmetic operations. While in the mathematical modeling-mathematical result process, students derived results in volume and length units, which were then contextualized back to the real-world situation by making assumptions about the number of cake pieces per person.
ANALISIS KEMAMPUAN SISWA MENYELESAIKAN MASALAH MATEMATIKA NON-RUTIN PADA KONSEP PERBANDINGAN SENILAI Arma Wangsa; Marniati Marniati; Sufri Mashuri; Nuralda Nuralda
Jurnal Riset Guru Indonesia Vol 5 No 1 (2026): JRGI: Desember 2025 - Maret 2026
Publisher : Almeera Education

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62388/jrgi.v5i1.537

Abstract

This study was conducted to explain students' ability to solve non-routine mathematics problems using the concept of direct proportion. To achieve this objective, a descriptive qualitative paradigm was employed, with seventh-grade students of SMP Negeri 25 Poleang Barat as the research subjects. Data were collected by administering a test consisting of one non-routine mathematics problem and conducting diagnostic interviews. Based on the collected data, three students were purposively selected, each representing high, medium, and low ability levels, and were analyzed based on Polya’s problem-solving stages using the flow model technique. The results showed that students in the high and medium ability categories were able to solve the non-routine problem involving the concept of direct proportion and fulfilled all four indicators (understanding information, devising a plan, carrying out the plan, and evaluating the solution). Meanwhile, students in the low ability category demonstrated poor performance. Students in this category were only able to meet the indicator of understanding problem information but failed to meet the other three indicators (devising and carrying out a plan, and evaluating the solution). Furthermore, it was also found that students showed conceptual understanding (high-ability category) and semi-conceptual understanding (medium-ability category) in the process of problem solving.
Co-Authors Adis Almaida Agung Prihatmojo, Agung Agus Nasir, Agus Andi Yuyun Muzizat Ariyadi Wijaya Ayu Rahayu Chairuddin Chairuddin Fatmasari, Putri Firdaus, Andi Mulawakkan Hajra Yansa Heri Retnawati Husain, Dayana Sabila Iman, Asrul Nur Indriani Putri Irajuana Haidar Karunia Kristiawati Kristiawati Kristiawati Kristiawati Marillah, Dima Marniati Marniati Marniati Marniati, Marniati Mudma Inna Muhammad Rizal Usman Muhammad Yasir Naing, Ince Rezky Novianti Nuralda Nuralda Ode, Windi Saputri Putri Fatmasari Putri Meilani Rahayu, Deti Sri Rahman, Gusti Arviana Rosti, Rosti Salido, Achmad Sarah Alvia sirad, La Ode Sitti Mutia Umasugi Sitti Mutia Umasugi Sufri Mashuri Umasugi, Sitti Mutia Usman, Muhammad Rizal Wahdaniah, Putri