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All Journal English Review: Journal of English Education Jurnal Pendidikan Matematika RAFA Jurnal Elemen HISTOGRAM: Jurnal Pendidikan Matematika MaPan : Jurnal Matematika dan Pembelajaran Jurnal PAJAR (Pendidikan dan Pengajaran) Journal of Honai Math Indiktika : Jurnal Inovasi Pendidikan Matematika Jurnal Pendidikan Matematika (JUDIKA EDUCATION) IJID (International Journal on Informatics for Development) Jurnal Berdaya Mandiri Jurnal Math-UMB.EDU Mosharafa: Jurnal Pendidikan Matematika LINEAR: Journal of Mathematics Education Inovasi Matematika (Inomatika) Lattice Journal : Journal of Mathematics Education and Applied Amal Ilmiah: Jurnal Pengabdian Kepada Masyarakat Mathematics Education Journal Journal on Mathematics Education
Zulkardi
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Ratios in Agriculture: A Rice Fertilization Context for Ratio Learning Trajectory Sari, Filian Yunita; Zulkardi; Putri, Ratu Ilma Indra; Susanti, Ely
Mathematics Education Journal Vol. 19 No. 3 (2025): Mathematics Education Journal
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/mej.v19i3.pp509-526

Abstract

This study aims to develop a learning trajectory for ratio material using rice fertilization context. This study employed validation studies within a design research framework involving seventh-grade students at a junior high school in Belitang. Data was collected through student activity sheets, observations, and interviews. Design research consists of three stages: experimental preparation, experimental design, and retrospective analysis. The findings indicate that the learning trajectory for ratio material in the rice fertilization context includes identifying patterns and relationships between two quantities, determining the simplest unit ratios, representing ratios using ratios table, and solving real-world ratio-related problems. These results confirm that the designed learning trajectory serves as a practical reference for teachers in designing ratio learning that is meaningful, applicable, and relevant to the life experiences of students in agricultural areas, while supporting sustainable agriculture.
Developing a PMRI Learning Environment for Pre-Service Teachers to Teach Geometry in Elementary Education Mulbasari, Anggria Septiani; Putri, Ratu Ilma Indra; Zulkardi; Nyimas Aisyah
Mathematics Education Journal Vol. 19 No. 3 (2025): Mathematics Education Journal
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/mej.v19i3.pp585-608

Abstract

There is a need for teachers to possess strong critical thinking skill and pedagogical skills. Unfortunately, many pre-service elementary teachers still struggle to develop these skills adequately, which can hinder the effectiveness of teaching and learning in the classroom. Therefore, this study aims to develop a valid, practical, and effective Pendidikan Matematika Realistik Indonesia (PMRI) learning environment to enhance the critical thinking and pedagogical abilities of pre-service elementary teachers. To achieve this aim, the study developed the Campus-Online-School (COS) model using a developmental research approach consisting of three phases: preliminary study, prototype development, and evaluation. Data were collected through observation, interviews, questionnaires, documentation, and tests, and analyzed using both qualitative and quantitative methods. The findings show that the developed learning environment is valid, practical, and effective in improving students’ critical thinking and pedagogical skills. Critical thinking was assessed through critical thinking test, while pedagogical ability was evaluated using Guskey’s framework. These findings offer important implications for teacher education, emphasizing the need to integrate comprehensive and contextual learning experiences to prepare future teachers who are reflective, adaptive, and equipped to face the challenges of modern classroom practice.
A local instructional theory for learning the concept of arithmetic sequence through pocah piring game Putri, Dhea Anisah; Zulkardi; Ely Susanti; Meryansumayeka
Jurnal Elemen Vol 11 No 3 (2025): July
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v11i3.29672

Abstract

The nth-term formula is an arithmetic sequence subtopic that contributes significantly to explaining the fundamental concept of an arithmetic sequence. This study aimed to design a Local Instructional Theory (LIT) based on Realistic Mathematics Education (RME) to find the nth-term formula in an arithmetic sequence through the Pocah Piring game. This study was conducted on eighth-grade students in Palembang, Indonesia. This study used educational design research with a validation study, starting with a preliminary design, design experiments, and retrospective analysis. The learning trajectory in this study begins with rich circumstances that require mathematical reasoning rather than abstraction or exact definitions. Three structured learning activities integrating the Pocah Piring game were applied to help the students explore the concept of an arithmetic sequence. To effectively teach arithmetic sequences, instruction should progress from concrete representations, such as physical manipulatives and visual patterns that help students recognise sequential structures, to more abstract forms, including symbolic expressions and general formulas. The developed LIT accurately predicted students’ thinking throughout the learning process, supporting their progression toward the intended learning objectives. Teachers are encouraged to use the LIT derived from this study to guide instruction and design alternative learning pathways when teaching arithmetic sequences.
Enhancing critical thinking with realistic mathematics education: Insight from learning styles, thinking habits, and cognitive abilities Retta, Allen Marga; Putri, Ratu Ilma Indra; Zulkardi; Susanti, Ely
Jurnal Elemen Vol 11 No 3 (2025): July
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v11i3.30013

Abstract

Although critical thinking is vital in 21st-century learning, mathematics classes often emphasise procedures over reasoning. Few studies have explored how students’ characteristics (learning styles, thinking habits, and cognitive abilities) interact with contextual learning approaches such as Pendidikan Matematika Realistik Indonesia (PMRI). This study aimed to describe the students’ critical thinking using PMRI as a learning approach, specifically by analysing how these abilities vary based on students’ learning styles, thinking habits, and cognitive ability levels. The context of water pH was used to explore the measures of central tendency. Students were observed based on their learning styles, thinking habits, and cognitive abilities. This study used a descriptive qualitative method with 29 eighth-grade students from junior high school in Palembang. Data were collected through tests, questionnaires (learning styles and thinking habits), and the participants’ academic records. The data were analysed using Miles, Huberman, and Saldana’s model, which involves data reduction, presentation, and conclusions. The results show that female students tend to possess “quite critical category”, while male students also show “quite critical category” category when analysed by learning style, but lower in thinking habits and cognitive ability. This implies that teaching should consider students' differences to support the development of critical thinking.
DEVELOPING E-LAS FOLKLORE: ENHANCING READING LITERACY THROUGH ‘RATU AGUNG’ TO SUPPORT STUDENTS READING LITERACY SKILLS Alwi, Zahra; Aulia Oktarina, Detia; Putri, Eka; Ilma Indra Putri, Ratu; Zulkardi
English Review: Journal of English Education Vol. 13 No. 2 (2025)
Publisher : University of Kuningan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25134/erjee.v13i2.11841

Abstract

This research aims to develop web-based student activity sheets (e-LAS) designed to enhance literacy skills by adapting the Ratu Agung folklor into short stories. The development process employed the ADDIE model, consisting of analysis, design, development, implementation, and evaluation stages. Data were collected through interview, observation, and evaluation stages, and analyzed using both qualitative and quantitative approaches. The study involved 10th-grade students at Athalla Putra Health Vocation School in Palembang. The expert evaluation of final e-LAS product yielded scores of 79,54 (good) for content relevance, 92,50 (very good) for presentation, and 91,66 (very good) for language, with an overall average of 87,90. Initial trials revealed that students were unfamiliar with analyzing and extracting information for complete text. Nonetheless, 84,61% of students achived the set learning objectives, indicating a high level of product effectiveness. These results suggest that the developed e-LAS can serve as a valuable aternative instruction tool to support literacy development and foster students’ creativity through culturally rooted literary expressions.
PENGENALAN KONTEKS NEW MATH PEMPEK TOPIK UANG DALAM PERDAGANGAN E.I, E.I. Pusta Siligar; Ratu, Ratu Ilma Indra Putri; Zulkardi; Hapizah
Jurnal Berdaya Mandiri Vol. 7 No. 2 (2025): JURNAL BERDAYA MANDIRI (JBM)
Publisher : Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/jbm.v7i2.8212

Abstract

This workshop aims to introduce a context in math learning, namely New Math Pempek, with a focus on the topic of money in trade. The choice of pempek context, as a widely known Palembang specialty, aims to present a relevant and meaningful learning experience for students. Through the making of New Math Pempek, workshop participants are invited to explore basic math concepts such as capital, selling price, and profit and loss calculation. This approach is in line with the principles of Indonesian Realistic Mathematics Education (PMRI), which emphasizes the importance of linking mathematics with real life. The workshop activities were designed to be interactive by involving discussions, contextual problem solving, and the development of student activity sheets using the context of New Math Pempek. Evaluation results show that the use of local context is able to provide the latest trend for mathematics learning with context innovation. This workshop is expected to be an inspiration for educators in designing mathematics learning that is contextual, applicable, and fun. Keyword: New Math Pempek, PMRI, Money In Trade
Development of astromath game to enhance interest and understanding in addition and subtraction Izza Della Nur Rizki; Budi Mulyono; Elsa Susanti; Zulkardi; Meryansumayeka; Putri Aisyah; Chyrza Adhea Salsabila; Rafika Sari
LINEAR: Journal of Mathematics Education Vol. 6 No. 2 (2025): Volume 6 Nomor 2 Desember 2025
Publisher : Fakultas Tarbiyah dan Ilmu Keguran IAIN Metro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32332/8zr58h31

Abstract

Innovative and engaging learning media are needed to overcome elementary school students' low interest and difficulty in understanding basic math operations. Therefore, this study aims to develop and test the validity, practicality, and effectiveness of educational game-based math learning media in understanding basic math calculation operations called Astromath. This media is designed to assist elementary school students in understanding mathematical concepts more enjoyably and interactively. The research employed the Research and Development (R&D) method with the ADDIE development model, which includes the stages of analysis, design, development, implementation, and evaluation. Two material experts validated with a result of 85.83% (very valid category) and two media experts with a result of 90% (very valid category). The practicality test was conducted on two teachers and four first-grade elementary school students. The results of the teachers' assessments showed an average score percentage of 84.37%, categorized as very practical. In comparison, the students' practicality test results obtained an average percentage of 91.1%, which also fell into the very practical category. Furthermore, the pre-test and post-test results demonstrated a significant increase in students' understanding after using Astromath. Therefore, Astromath is declared effective, practical, and suitable for use as an alternative interactive and enjoyable learning media in elementary schools.
Learning Mathematical Literacy Across Islands in an Archipelagic Country Through Cross-Cultural STEM Trails Cahyono, Adi Nur; Sukestiyarno, Yulius Leonardus; Kharisudin, Iqbal; Iqbal, Muhammad; Zulkardi; Safrudiannur; Lavicza, Zsolt; Miftahudin
Mathematics Education Journal Vol. 19 No. 4 (2025): Mathematics Education Journal
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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

Abstract

This study explored a program aimed at designing cross-cultural STEM trails in three regions of an archipelagic country to enhance students' mathematical literacy. The research employed an exploratory mixed-methods design, involving 30 prospective teachers, in-service teachers, and lecturers and 50 students. Data were collected through observations, interviews, documentation, and mathematical literacy tests. They were analyzed using qualitative coding/triangulation and ANOVA. The study took place in three cities located on different islands during the 2024 academic year. The study began with implementation of a teacher training program to equip them with the necessary skills to design STEM Trails using the stemtrails.id platform. This application was developed in previous research. The trails were designed to integrate STEM contexts, cultural themes, and landmark elements in three Indonesian cities. Students used the trails to learn mathematical literacy and gain insight into the cultures of other regions. The location of tasks and trails in remote areas prompted task authors to innovate task design using technologies such as 3D printing. This technology facilitates student exploration, as with general math trails, but also incorporates miniature object models relevant to the tasks. The teacher selected project-based learning as an appropriate model for this strategy. The results demonstrated measurable improvements in mathematical literacy, with average post-test scores rising from M = 68.4 (SD = 9.3) to M = 81.7 (SD = 8.6), t(142) = 9.21, p < .001. Cross-island cultural triangulation fostered collaborative learning across geographically separated regions, thereby demonstrating a strategy for overcoming archipelagic barriers. The model can be expanded to other regions through digital integration and culturally grounded STEM task design. In this way, it can offer a pathway for nationwide application.
Secondary students’ informal strategies in solving enumeration problems prior to formal combinatorics instruction Putra, Aan; Zulkardi; Putri, Ratu Ilma Indra; Laswadi
Jurnal Elemen Vol 11 No 4 (2025): October
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v11i4.31088

Abstract

Although enumeration problems are fundamental in combinatorics, little is known about how students intuitively approach such enumeration problems before receiving formal instruction. This exploratory qualitative study investigated the initial strategies employed by twelve-grade students in solving enumeration problems prior to formal instruction on enumeration rules. Fifteen students from a public senior high school in Kerinci, Indonesia, who had not yet learned combinatorics in the curriculum, participated in this study. Data were collected through students’ written responses to three combinatorial problems presented in different real-life contexts and further explored through semi-structured interviews. Only responses demonstrating coherent and interpretable strategy were analyzed. The findings reveal three dominant strategies: listing all possible arrangements, generalizing patterns, and applying the multiplication principle. These findings indicate that students possess intuitive approaches that can serve as a foundation for formal combinatorial reasoning. The study aligns with the Realistic Mathematics Education (RME) perspective, emphasizing the importance of guided reinvention and contextual mathematization, and proposes implications for designing learning trajectories that build on students’ informal reasoning in secondary mathematics education.
Pengembangan Lembar Aktivitas Siswa Berbasis Masalah pada Materi Garis-Garis Istimewa Segitiga di Kelas VII SMP Sinaga, Heny; Zulkardi; Yusup, M
Mosharafa: Jurnal Pendidikan Matematika Vol. 5 No. 3 (2016): September
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v5i3.414

Abstract

Penelitian ini bertujuan untuk menghasilkan lembar aktivitas siswa berbasis masalah pada materi garis-garis istimewa segitiga di kelas VII SMP yang valid, praktis, dan memiliki efek potensial. Jenis penelitian ini adalah penelitian pengembangan dengan tahapan meliputi preliminary study dan tahapan formative evaluation (self evaluation, expert review, one-to one, small group, dan field test). Subyek penelitian dalam penelitian ini adalah kelas VII.8 di SMP Negeri 6 Palembang. Instrumen penelitian yang digunakan adalah lembar aktivitas siswa berbasis masalah, RPP, dokumen (lembar validasi), dan soal tes. Analisis data yang digunakan adalah analisis deskriptif. Pada tahapan expert review dan one-to-one dilakukan untuk melihat validitas lembar aktivitas siswa. Tahapan small group dilakukan untuk melihat kepraktisan. Adapun field test digunakan untuk melihat efek potensial dari lembar aktivitas siswa yang dikembangkan.
Co-Authors Aan Putra Adelia, Viona Adha, Idul Adi Nur Cahyono Agustina, Amalia Aini, Indrie Noor Ainun Jariyah 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 Arvin Efriani Aulia Oktarina, Detia Bambang Riyanto Budi Mulyono Cecil Hiltrimartin Chyrza Adhea Salsabila Darmawijoyo, Darmawijoyo Dasaprawira, M. Noviarsyh Dewi Rawani Dewi, Agatha Indy Candra Dhany Fachrudin, Achmad 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 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 Meryansumayeka Meryansumayeka MICHIEL DOORMAN, MICHIEL Miftahudin Misdalina Mouli, Mutia Febri Muhamad Yusup Muhammad Iqbal MUSLIMIN Mustikasari N. Fahriza Fuadiah Nisa, Sholihatun Novita Sari Nur Listiawati, Nur Nusantara, Duano Sapta Nyimas Aisyah Nyimas Aisyah Permatasari, Ranni Pratiwi, Riszky Pabela Pratiwi, Weni Dwi Purwasi, Lucy Asri Purwoko Puspitasari, Linda Putri Aisyah Putri, Dhea Anisah Rafika Sari Rahayu, Chika Rahma Siska Utari 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 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 Syabaniah, Try Nurisa Sylvenny Mirandah Syutaridho Syutaridho Syutaridho Tanjung, Ayu Luviyanti Tati Tri Astuti, Yeni Tria Gustiningsi Trimurti Saleh 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