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Journal : Jurnal Elemen

Development of learning video rotation using Palembang tanjak context to determine students’ mathematical reasoning Hasanah, Uswatun; Putri, Ratu Ilma Indra; Zulkardi
Jurnal Elemen Vol 10 No 1 (2024): January
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v10i1.23988

Abstract

This research is essential as a starting point in using learning videos on rotation material assisted by the Palembang tanjak context so that students' mathematical reasoning abilities are good. This research aims to produce a learning video on rotation material using the Palembang tanjak context that is valid and practical, as well as to determine the potential effect of using videos on rotation material using the Palembang tanjak context on students' mathematical reasoning ability. PMRI and collaborative learning approaches were also used in this research. This type of research is a design research type of development studies. The subjects of this study involved 28 students of class IX.A. Data collection techniques were observation, tests, and interviews. The data analysis technique is descriptive. This research resulted in a learning video on rotation material using the context of Palembang tanjak, which was developed to be valid and practical and potentially affected students' mathematical reasoning ability with an average of 67.625. Learning videos on rotation material can be used to train students' mathematical reasoning skills within the Palembang Tanjak context.
Ratio and proportion through realistic mathematics education and pendidikan matematika realistik Indonesia approach: A systematic literature review Risdiyanti, Irma; Zulkardi; Putri, Ratu Ilma Indra; Prahmana, Rully Charitas Indra; Nusantara, Duano Sapta
Jurnal Elemen Vol 10 No 1 (2024): January
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v10i1.24445

Abstract

Foundational mathematical concepts like ratios and proportions are indispensable for solving both everyday problems and those encountered in professional settings. However, many students need help to grasp and apply these concepts effectively, often due to ineffective teaching methods, variations in students' levels of comprehension, and shortcomings in existing learning models. Realistic Mathematics Education (RME) and Pendidikan Matematika Realistik Indonesia (PMRI) have emerged as promising solutions to address these challenges. This study aims to systematically review the literature on ratio and proportion learning design using RME and PMRI approaches. It focuses on three specific research inquiries: profiling the literature, analyzing employed learning designs, and identifying gaps and recommendations for further research in learning design development. Conducted through a Systematic Literature Review (SLR) approach, the research involved planning, implementing, and disseminating review results. One hundred forty-four documents were scrutinized, leading to the identification of 19 pertinent papers. This study provides a comprehensive analysis of the literature on learning design in the context of ratio, proportion, scale, and level, utilizing RME and PMRI approaches while highlighting research gaps and offering insights for future studies. Its findings hold significant implications for educators and researchers seeking to enhance mathematics education through RME and PMRI approaches.
Development of PISA-type questions and activities using election context to determine students' mathematical reasoning Sylvenny Mirandah; Zulkardi; Ratu Ilma Indra Putri
Jurnal Elemen Vol 11 No 1 (2025): January
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v11i1.28013

Abstract

The importance of developing PISA-type questions and learning activities is to familiarize students with these questions. This study employs a research design with development studies that include the stages of preliminary evaluation and formative evaluation. This research was conducted in response to the low mathematical reasoning skills of students in Indonesia, focusing on eighth-grade junior high school students. Qualitative findings were obtained from field data in the form of interviews, photos, and videos of the activities. The results of this study produced six units of activity questions and three units of evaluation questions on the theme of elections, which are valid and practical for enhancing mathematical reasoning abilities of eighth-grade students. The average score of students for Activity 1, Activity 2, and evaluation questions reached 53.45, indicating the potential effect of PISA-type questions and activities in the context of uncertainty and data with the theme of elections on students' mathematical reasoning skills, which are categorized as adequate. The reasoning indicator that appeared most frequently was the ability to make a conjecture, while the ability to manipulate mathematics was rarely observed. Overall, PISA-type questions and activities in an election context can be used to strengthen students' mathematical reasoning abilities.
How do junior high school students solve proportional reasoning problems? Sari, Filian Yunita; Zulkardi; Putri, Ratu Ilma Indra; Susanti, Ely
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.v11i2.27922

Abstract

Proportional reasoning is a crucial skill that students need to master to achieve success in learning mathematics at both the elementary and secondary levels. This study aimed to identify the strategies junior high school students used when solving proportional reasoning problems related to ratios and proportions. This qualitative descriptive research was conducted on six seventh-grade students at a junior high school in Belitang, selected through purposive sampling. Data was collected using tests and interviews and analyzed descriptively. Data validity was ensured through triangulation techniques. The findings revealed that students with low abilities used a repeated addition strategy to solve proportional reasoning problems. Meanwhile, students with medium abilities employed the multiplication strategy but occasionally made errors using the additive strategy—students with high abilities predominantly used multiplicative strategies. The study suggests that students with medium abilities do not consistently apply proper proportional reasoning strategies, highlighting a need for further research into their solution approaches. In addition, it is essential to design learning activities that specifically target the improvement of proportional reasoning skills for students with lower abilities, given the critical role this skill plays in mathematics education at both the primary and secondary levels.
Advancing statistical literacy for prospective teachers: A systematic review of contemporary approaches and best practices Utari, Rahma Siska; Putri, Ratu Ilma Indra; Zulkardi; Hapizah
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.v11i2.28044

Abstract

This study employs a Systematic Literature Review (SLR) to explore the development of statistical literacy among prospective teachers, which is crucial in today’s data-driven educational landscape. The review synthesizes findings from 18 selected studies published between 2015 and 2024, focusing on various pedagogical approaches, challenges in implementation, and strategies for enhancing statistical literacy instruction. Current approaches and best practices include inquiry-based learning, real-world data applications, and interactive digital tools. These approaches aim to engage prospective teachers in authentic statistical experiences, which can enhance their ability to teach statistical concepts effectively. The study identifies key themes in statistical literacy education using a comprehensive methodology that includes defining research questions and establishing inclusion and exclusion criteria. Key findings reveal four primary research themes: strategies for teaching statistical literacy, competencies needed for prospective teachers, educational contexts, and the role of technology in statistical learning. The review also identifies significant gaps in the existing literature, particularly related to effective curriculum integration and the specific challenges educators face. This SLR contributes to the ongoing discourse on educational statistical literacy, providing a foundation for future research and practical applications in teacher preparation.
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.
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.
Learning trajectory on understanding monetary values for autistic students through a modified monopoly game Marhamah; Putri, Ratu Ilma Indra; Zulkardi; Hartono, Yusuf
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.v11i4.32052

Abstract

Children with autism spectrum disorder (ASD) often have difficulty understanding abstract concepts, such as monetary values, due to limitations in executive functioning and concept generalization. This study aimed to develop and test a learning trajectory for understanding monetary values through a modified Monopoly game according to the characteristics of autistic students. The study employed a design research approach with validation type, using hypothetical and actual learning trajectory (HLT-ALT) analysis through the stages of preparation, design experiments (pilot and teaching experiments), and retrospective analysis of the data. The research subjects were eight autistic students at the junior high school level at SLB Bina Autis Mandiri, Indonesia. Data were collected through student activity sheets, observations, interviews, and documentation and then analyzed qualitatively. The results showed that the learning trajectory consisting of four activities (playing modified Monopoly, recognizing the value of money, counting the number of pictorial patches of money, and adding up the value of money) effectively helped students gradually understand the concept of monetary value. Game-based activities also increased students' engagement and understanding of the material. This study contributes to a replicable and inclusive learning trajectory that integrates structured gameplay with mathematical reasoning for students with autism.
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 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 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