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Development of Turnreative Media to Improve Understanding of Derivatives in Mathematics Learning Auliani, Gelcy Vania; Merlisa; Qolbi, Rizma Nurfajriah; Pramudhia, Zulhilmi Gibran; Susanti, Elsa; Zulkardi; Mulyono, Budi; Meryansumayeka
Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika Vol. 9 No. 2 (2025): JRPIPM DESEMBER 2025
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jrpipm.v9n2.p165-181

Abstract

This research develops a game-based interactive learning media called Turnreative, which is valid, effective, and practical for improving students’ understanding of algebraic function derivatives. The development follows the ADDIE model (Analysis, Design, Development, Implementation, Evaluation). Data collection instruments include validation sheets, practicality sheets, pre-test and post-test questions, and interviews. The collected data were analyzed using descriptive quantitative and qualitative techniques to determine the validity, practicality, and effectiveness of the media. The subjects were three public high school students in Palembang. Validation results showed the media was very valid, with scores of 82.5% from media experts and 89.5% from material experts. In terms of practicality, teachers gave 93.52% and students 93.33%. A small-scale trial indicated a significant increase in student understanding, from an average pre-test score of 33.33 to 90 in the post-test. The results conclude that Turnreative is feasible to use as a learning medium for algebraic function derivatives and has proven to be effective and efficient in enhancing students’ mathematical problem-solving skills.
Matrix Material Learning Design Using Context of Bookshelf to Support High School Students Understand Concepts Trisna Wulandari; Zulkardi; Ely Susanti; Meryansumayeka Meryansumayeka
MATHEMA: JURNAL PENDIDIKAN MATEMATIKA Vol. 7 No. 2 (2025): MATHEMA
Publisher : Universitas Teknokrat Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33365/jm.v7i2.129

Abstract

Understanding concepts is something that students need to have because concepts in mathematics are interrelated with each other. The purpose of this study was to determine the learning design on matrix material using the concept of bookshelves (lockers) that can support the understanding of the matrix concept of high school students. The researcher designed a student activity sheet with the context of bookshelves (lockers) that are often found in the school environment that are used in learning. The subjects of the study were 35 high school students in grade XI at SMA Srijaya Negara Palembang. The research method used was design research through three stages, namely the preparation for the experiment, the design experiment, and retrospective analysis. Data collection through the results of student activity sheets and interviews. The data collected were analyzed descriptively. This study produced Hypothetical Learning Trajectory (HLT) which can support student understanding to the concept of matrices.
Developing a local instruction theory for fraction learning through a cultural context Arbella Sri Marleny; Zulkardi; Putri, Ratu Ilma Indra; Hartono, Yusuf
Al-Jabar: Jurnal Pendidikan Matematika Vol 17 No 1 (2026): Al-Jabar : Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v17i1.29646

Abstract

Purpose: Learning fractions at the elementary school level remains challenging due to the abstract nature of fraction concepts and students’ difficulties in interpreting multiple representations. This study aims to develop a structured learning trajectory that supports students’ understanding of fractions by integrating the local cultural context of melemang from Muara Enim, thereby reducing abstraction and enhancing meaningful learning. Method: The study employed a design research methodology in the form of validation studies, consisting of three iterative stages: preliminary design, teaching experiment, and retrospective analysis. The participants were 28 lower-grade students from an elementary school in Muara Enim Regency. Data were collected through student worksheets (LKPD), classroom observations, and documentation of students’ learning activities. The analysis focused on examining the alignment between the Hypothetical Learning Trajectory (HLT) and students’ actual learning processes. Findings: The results indicate that the designed HLT was largely consistent with students’ learning trajectories, particularly in supporting the transition from concrete experiences to visual and symbolic representations of fractions. However, several students required additional instructional scaffolding to connect visual models with formal notation and to recognize fraction equivalence. The retrospective analysis led to the formulation of a Local Instructional Theory (LIT) emphasizing three key principles: the use of meaningful cultural contexts, progressive representational development, and adaptive scaffolding to address misconceptions. Significance: This study contributes theoretically by developing a culturally grounded LIT that integrates Realistic Mathematics Education (RME) with local culture and practically by providing teachers with a contextual instructional model to enhance students’ conceptual and procedural understanding of fractions.
Supporting proportional reasoning in ratio and proportion through agricultural contexts: A local instructional theory Sari, Filian Yunita; Zulkardi; Putri, Ratu Ilma Indra; Susanti, Ely
Journal on Mathematics Education Vol. 17 No. 1 (2026): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v17i1.pp299-318

Abstract

Proportional reasoning constitutes a foundational competence in learning ratio and proportion. However, numerous junior high school students continue to exhibit reliance on additive reasoning rather than multiplicative reasoning when addressing proportional problems. This study aims to develop a Local Instructional Theory (LIT) that integrates agricultural activities to foster students’ proportional reasoning within the domain of ratio and proportion. Employing a design research methodology of the validation study type, the investigation comprised three interconnected phases: preparation for the experiment, design experiment, and retrospective analysis. The design experiment was conducted in two iterative cycles: a pilot experiment involving eight seventh-grade students and a subsequent teaching experiment involving 31 seventh-grade students from a junior high school in Belitang, Indonesia. Data were collected through student activity sheets, classroom observations, interviews, and assessments, and analyzed qualitatively using retrospective analysis. The findings reveal that agricultural practices—such as rice fertilization, plowing, rice field exploration via Google Earth, and rice planting row marking—serve as meaningful contextual anchors that support students in constructing conceptual understandings of ratio, rate, scale, and proportion. Engagement in these contextually grounded activities enabled students to compare quantities, identify unit rates, and represent proportional relationships through models such as ratio tables and double number lines. These learning trajectories facilitated a gradual shift from additive to multiplicative reasoning. The study underscores the pedagogical potential of authentic agrarian contexts to promote the progressive development of proportional reasoning and to provide a transferable framework for context-based mathematics instruction.
Between assistance and misconduct: Generative AI, epistemic integrity, and the future of mathematics education research in Journal on Mathematics Education Zulkardi; Prahmana, Rully Charitas Indra
Journal on Mathematics Education Vol. 17 No. 2 (2026): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v17i2.pp363-370

Abstract

This editorial examines the role of generative artificial intelligence (GenAI) in reshaping the ecology of scholarly writing in mathematics education, with particular attention to the Journal on Mathematics Education (JME). Grounded in the Indonesian context—where most JME authors are doctoral students navigating pressures to publish in English—the piece highlights how GenAI simultaneously functions as a linguistic lifeline and a potential trap that obscures the intellectual labor of research. Drawing on JME's GenAI policy, we argue that journals must protect the core of intellectual work while acknowledging the unequal access to AI tools across institutions and regions. The editorial discusses epistemic risks such as the erasure of authors' "thinking traces" and the emergence of hallucinated references, illustrated by a recent case in which a submission to JME contained fictitious citations generated by GenAI. It then frames JME as a "patch" in the global knowledge ecology, suggesting that GenAI can be leveraged to broaden participation only if its use is transparent, critically monitored, and embedded within practices of ethical mentoring, especially for doctoral writers. We conclude by inviting the JME community—authors, reviewers, and editors—to cultivate educational uses of GenAI that foster critical hope, epistemic justice, and collective responsibility for the future of mathematics education research.
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.
Exploration of Jejamok Games as Local Wisdom: Basis for Developing E-Comics for Integer Learning Handayani, Ratih; Putri, Ratu Ilma Indra; Zulkardi; Darmawijoyo
Riemann: Research of Mathematics and Mathematics Education Vol. 8 No. 1 (2026): EDISI APRIL
Publisher : Program Studi Pendidikan Matematika Universitas Katolik Santo Agustinus Hippo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.38114/riemann.v8i1.181

Abstract

The persistent challenges students face in understanding integers indicate the need for learning approaches that connect abstract mathematical concepts with meaningful real-life experiences. Although culturally grounded contexts have been widely recommended in mathematics education, there remains a limited understanding of how specific traditional games can be systematically interpreted to reveal their embedded mathematical structures and support conceptual learning. This study seeks to investigate the Jejamok traditional game from North Lampung through an ethnomathematics perspective to identify its potential as a context for learning integer concepts and as a basis for developing instructional media. A qualitative exploratory approach was employed, involving literature review, field observations, and interviews with local community members and teachers. The findings reveal that Jejamok embodies several key mathematical ideas related to integers, including (1) positive and negative values represented through capture and release actions, (2) addition and subtraction of integers through score changes, and (3) comparison of quantities and strategic decision-making based on game situations. These concepts emerge naturally from the game’s scoring system and player interactions, providing a meaningful bridge between informal experiences and formal mathematical understanding. Furthermore, the game structure reflects a form of situated mathematical representation that supports progressive mathematization within the PMRI framework. In addition, Jejamok reflects important cultural values such as cooperation, sportsmanship, and nengah nyappur, which contribute to social learning. These findings suggest that Jejamok can serve not only as a contextual learning resource but also as a conceptual foundation for developing culturally responsive instructional media, such as e-comics. This study contributes to the development of culturally grounded mathematics instruction by offering an empirically supported and theoretically informed model for connecting local cultural practices with formal mathematical learning.
Co-Authors Aan Putra Adelia, Viona Adha, Idul Adi Nur Cahyono Agustina, Amalia Aini, Indrie Noor Ainun Jariyah Ainun Mardia Allen Marga Retta, Allen Marga Amarta, Nadiati Ambarita, Sahala Martua Andita, Sintia Anggria Septiani Mulbasari, Anggria Septiani ANISAH Anna Fauziah Apertha, Fanny Khairul Putri Aprilisa, Shinta Arbella Sri Marleny Arvin Efriani Aulia Oktarina, Detia Auliani, Gelcy Vania Bambang Riyanto Budi Mulyono Cecil Hiltrimartin Chyrza Adhea Salsabila Darmawijoyo, Darmawijoyo Dasaprawira, M. Noviarsyh Dewi Rawani Dewi, Agatha Indy Candra Dhany Fachrudin, Achmad Dina Octaria Duano Sapta Nusantara EDWAR Effendi, Kiki Nia Sania Eka Fitri Puspa Sari, Eka Fitri Puspa Eka Putri Eli Susanti ELLY SUSANTI Elsa Susanti Elvina, Nova Ely Susanti Eni Yulianti Ermatita - Evy Yosita Silva Fitrianty Munaka Hapizah Haris Kurniawan, Haris Hasanah, Mifta Nur Ida Ayu Putu Sri Widnyani Ida Hamidah Ika Pratiwi Intan Bigita Kusumawati, Intan Bigita Iqbal Kharisudin Izza Della Nur Rizki Jannah, Riya Dhotul Jayanti Jurnaidi Kamid, Kamid Ketang Wiyono Laela Sagita Laswadi Laswadi Lavicza, Zsolt Lewy Lisnani M. Hasbi Ramadhan, M. Hasbi Maharani, Yulianita Malalina Marhamah Marhamah Marhamah Mariska Yusuf Meitrilova, Agyta Merlisa Meryansumayeka Meryansumayeka MICHIEL DOORMAN, MICHIEL Miftahudin Misdalina Mouli, Mutia Febri Muhamad Yusup Muhammad Iqbal Mulyono, Budi MUSLIMIN Mustikasari N. Fahriza Fuadiah Nisa, Sholihatun Novita Sari Nur Listiawati, Nur Nyimas Aisyah Nyimas Aisyah Permatasari, Ranni Pramudhia, Zulhilmi Gibran Pratiwi, Riszky Pabela Pratiwi, Weni Dwi Purwasi, Lucy Asri Purwoko Puspitasari, Linda Putri Aisyah Putri, Dhea Anisah Qatrunnada, Dhiya Qolbi, Rizma Nurfajriah Rafika Sari Rahayu, Chika Rahma Siska Utari Ratih Handayani Ratu Ilma Indra Putri Ratu, Ratu Ilma Indra Putri Retni Paradesa Rini Herlina Rusiyanti Risdiyanti, Irma Riskanita, Arini Dyah Rully Charitas Indra Prahmana Rusdy A Siroj Safrudiannur Safrudiannur Samsuryadi Saputri, Nety Wahyu Sari, Filian Yunita Saskiyah, Sulafah Ansya Sepriliani, Sisca Puspita Setyorini, Ninik Purwaning Shinta Puspasari Siligar, E.I Pusta Simon Sili Sabon, Simon Sili Sinaga, Heny Sistyawati, Risda Intan Siswantari Siti Fatimah Sitisyarah, Kania Somakim, Somakim Subijanto Sujinal Arifin Sukasno Sukasno Sukestiyarno, Yulius Leonardus Sukma, Yovika Sumardi, Hari Supratik Surya Amami Pramuditya Susanta, Agus Susanti, Elsa Syabaniah, Try Nurisa Sylvenny Mirandah Syutaridho Syutaridho Syutaridho Tanjung, Ayu Luviyanti Tati Tika Dwi Nopriyanti, Tika Dwi Tri Astuti, Yeni Tria Gustiningsi Trimurti Saleh Trisna Wulandari ullya Uswatun Hasanah Utami, Marta Risa Putri Wibowo, Slamet Wirda, Yendri Yaniawati, Poppy Yansen, Dedi Yufitri Yanto Yulia Resti Yulianti Yusuf Hartono Yusup, M Zahra Alwi, Zahra