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Transformation geometry in eleventh grade using digital manipulative batik activities Sahara, Sani; Dolk, Maarten; Hendriyanto, Agus; Kusmayadi, Tri Atmojo; Fitriana, Laila
Journal on Mathematics Education Vol. 15 No. 1 (2024): 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.v15i1.pp55-78

Abstract

Learning Transformation Geometry (TG) needs a more informal approach to concern situational problems. This study aims to develop actionable knowledge of TG in the form of design related to context and yet general enough to use digital manipulative activities in new situations. We propose such knowledge in the form of conjectured Local Instructional Theory (LIT) in the framework of design research methodological framework. The designed learning activities were based on Realistic Mathematics Education (RME) principles and used batik as the context and van Hiele’s mode of geometric thought. In addition, the CorelDraw software is used as a tool to transform batik-making activities into a digital manipulative environment. The design consists of a pre-assessment and four learning activities. The data were analyzed retrospectively in accordance with the HLT. The analysis of the data described above and the justification of the processes during the teaching experiment indicate a compelling trajectory for students learning transformation geometry for this specific context and the prospect for future studies.
The didactic phenomenon: Deciphering students’ learning obstacles in set theory Hendriyanto, Agus; Suryadi, Didi; Juandi, Dadang; Dahlan, Jarnawi Afgani; Hidayat, Riyan; Wardat, Yousef; Sahara, Sani; Muhaimin, Lukman Hakim
Journal on Mathematics Education Vol. 15 No. 2 (2024): 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.v15i2.pp517-544

Abstract

Teachers play a crucial role in disseminating knowledge in educational settings, typically adhering to a credulist-testimonial approach outlined in pedagogical literature. Consequently, students often acquire knowledge through this method, potentially leading to discrepancies between their conceptual understanding and the intended educational objectives. This study investigates the phenomenon of learning obstacles encountered by junior high school students, with a particular emphasis on mathematics education. It is part of a series of Didactical Design Research (DDR) projects aimed at developing effective instructional materials. Employing an interpretive paradigm within the DDR framework, the study adopts a qualitative approach utilizing hermeneutic phenomenology design. Various research tools such as diagnostic assessments, interview guidelines, observation sheets, and audio recordings are employed. Data analysis is conducted using the Constant Comparative Method (CCM). The findings highlight ontogenic, didactic, and epistemological obstacles students face, stemming from factors such as a lack of interest in mathematics, ineffective material presentation, and misconceptions regarding set concepts. These results underscore the importance of educators employing effective teaching strategies to help students overcome these obstacles and succeed in their mathematics education.
Mathematical framework for accurate prayer times: Insights from the bencet tradition Muhaimin, Lukman Hakim; Kusumah, Yaya S.; Juandi, Dadang; Hendriyanto, Agus; Sahara, Sani
Indonesian Journal of Science and Mathematics Education Vol. 6 No. 3 (2023): Indonesian Journal of Science and Mathematics Education
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ijsme.v6i3.19790

Abstract

Mathematics is fundamental in structuring religious practices, especially in determining prayer times. This study explores the mathematical concepts embedded in the traditional bencet tool used by communities to calculate prayer times accurately. Using a qualitative ethnographic approach, the research examines both the use and crafting of bencet through observations, interviews, and documentation. Based on the Miles and Huberman model, data analysis reveals that the bencet tongkat unconsciously incorporates mathematical concepts such as parallel lines, measurements, and planar surfaces. Similarly, the bencet garis reflects understanding parallel and perpendicular lines, circular constructions for 90° angles, and precise measurements. The findings underscore the deep interconnection between mathematical principles and cultural traditions. This study concludes that the bencet tool represents an untapped resource for ethnomathematics research. The implications highlight the potential of ethnomathematics as an innovative approach to mathematics education, integrating cultural heritage into learning.
Ecological dimension of fraction arithmetic activities within two neighbouring countries: Study on textbooks and reference model Sahara, Sani; Suryadi, Didi; Tarmudi, Tarmudi; Dasari, Dadan
Indonesian Journal of Science and Mathematics Education Vol. 8 No. 2 (2025): Indonesian Journal of Science and Mathematics Education
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ijsme.v8i2.26456

Abstract

In this study, how the mathematical activities of fraction arithmetic within the textbooks of two neighbouring countries, Indonesia and Malaysia, are influenced by the specific conditions and constraints presented in school textbooks is reviewed and examined, and the reasons behind them are understood. Two complementary frameworks, the anthropological theory of didactics and didactical design research are used to conduct an ecological analysis contributing to the theoretical discourse and practical application. The theoretical conversation suggests that ecological differences shaping the content of textbooks from both countries exert distinct influences on specific tasks, particularly within contexts with the unique characteristics of each nation. Furthermore, the scope of additional components is also examined regarding how situational sets are presented. A reference epistemological model to frame the epistemological analysis as a basis for future didactic design is also discussed for its implications on practice.
Promoting the Pancasila Students’ Profiles through Mathematics Education in Schools: Ethnomathematics Roles Hendriyanto, Agus; Juandi, Dadang; Kuncoro, Krida Singgih; Fitriana, Laila; Sahara, Sani; Muhaimin, Lukman Hakim
Jurnal Pendidikan Progresif Vol 13, No 2 (2023): Jurnal Pendidikan Progresif
Publisher : FKIP Universitas Lampung

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

Abstract

The Function of Ethnomathematics in the Development of Pancasila Student Profiles for Indonesian Students Via Mathematics Education in Schools. The present mathematics curriculum in Indonesia (IND) places a strong emphasis on the creation of a Pancasila student profile in order to ensure that pupils are learning mathematics in a meaningful way. This paper suggests an integration of ethnomathematics into the formal mathematics curriculum as one approach to dealing with these learning issues. It is based on a literature assessment of studies on ethnomathematics, mathematics education, and Pancasila student profile. The literature review method used with a narrative review design. A total of 28 articles were selected for publication at the final stage of the review process. In light of the preceding explanation, it is clear that ethnomathematics plays a part in the formal school mathematics curriculum since the context-relevant and constraint-filled problem-solving techniques give many abstract mathematical notions the required contextual meaning. Keywords: ethnomathematics, mathematics education, pancasila student profiles.DOI: http://dx.doi.org/10.23960/jpp.v13.i2.202305
The Role of Digital Technology in the Design of Mathematics Teaching and Learning: A Systematic Literature Review Fitriana, Laila; Hendriyanto, Agus; Sahara, Sani; Muhaimin, Lukman Hakim; Wintarti, Atik; Listiawan, Tomi; Saputro, Anip Dwi; A Dewi, Deshinta
Journal of Educational Technology and Learning Creativity Vol. 3 No. 2 (2025): December
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/jetlc.v3i2.2503

Abstract

Purpose of the study: This study systematically reviews the role of digital technologies in the design of mathematics teaching and learning over the past decade. It aims to evaluate how digital tools have been integrated into task and lesson design, identifying emerging trends, challenges, and innovations. Methodology: A systematic literature review (SLR) following the PRISMA framework was conducted, analyzing studies published between 2014 and 2023. A total of 32 studies were included, sourced from various academic databases. These studies were examined to explore the use of digital technologies such as GeoGebra, Dynamic Geometry Environments (DGE), mobile apps, and others in mathematics instruction. Main Findings: The review found that digital technologies, particularly GeoGebra and DGE, were frequently used to enhance mathematical exploration and conjecturing. Other tools, including mobile applications, augmented reality (AR), and AI, have contributed to innovative teaching strategies, increasing student engagement and understanding. However, challenges such as unequal access to technology and the need for teacher training in tool integration were identified. Novelty/Originality of this study: This study provides a unique contribution by focusing not only on the use of digital tools but also on their role within the broader teaching design context. It offers insights into how these technologies shape pedagogical strategies, helping educators design more effective and inclusive mathematics education environments.
The effect of GeoGebra android on increasing mathematical understanding ability based on gender Siswanto, Rizki Dwi; Dasari, Dadan; Hendriyanto, Agus; Muhaimin, Lukman Hakim; Kusharyadi, Rahmat; Sahara, Sani
UNION : Jurnal Ilmiah Pendidikan Matematika Vol 11 No 1 (2023)
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/union.v11i1.14462

Abstract

This study aims to describe the increase of students' mathematical understanding ability in learning the two-variable linear equation system (SPLDV) and the two-variable linear inequality system (SPTLDV) with Android GeoGebra media reviewed by gender. This experimental quasi research is one group pretest postest design. The sample in this study was a class XI of 32 students with Purposive Random Sampling techniques. Data collection in this study uses an instrument for a mathematical understanding ability test in the form of a description. The results of the study can be concluded in the learning of Android GeoGebra, the mathematical understanding of male students is significantly different from the mathematical understanding of female students. It means that in learning the Android GeoGebra Improvement of the Mathematical Understanding Ability of Male Students is greater than female students. Thus it can be concluded that in the learning of Android GeoGebra, an increase in the mathematical understanding of male students is better than female students.
“They give students too much for their age”: Toward deep learning from primary school teachers’ perspective through interpretive phenomenology Sahara, Sani; Chaled, Mohammad Idham; Indrawijaya, Fizar; Utami, Nadya Syifa; Yen, Phoong Seuk
UNION : Jurnal Ilmiah Pendidikan Matematika Vol 13 No 4 (2025)
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/union.v13i4.21296

Abstract

The Indonesian Deep Learning “Pembelajaran Mendalam” initiative represents an effort to address long-standing deficits in students’ critical thinking and higher-order skills. However, for teachers on the ground, the policy often collides with a very different reality. This interpretive phenomenological study explores the challenges associated with the initiative by focusing on the lived experiences of elementary school teachers in South Jakarta as they navigate the new mandate. Rather than measuring implementation fidelity, the analysis reveals the difference between policy and teachers’ everyday experience. Teachers describe a professional world dominated by the immediate demands of classroom management, in which abstract policy goals feel largely unattainable. They express a deep sense of overload—both logistical and developmental—arguing that the curriculum demands forms of philosophical reasoning from children who are still mastering basic concrete concepts. Moreover, the implementation is experienced visible in workshops and policy documents but failing in daily classroom practice. This study contributes to the literature by demonstrating that the difficulties surrounding Pembelajaran Mendalam not from teacher resistance but from a policy design that insufficiently accounts for the developmental and practical realities of elementary education.
Meaning in transition: A didactic–hermeneutic inquiry into how the concept of variables transposed from teaching to student understanding Utami, Nadya Syifa; Diana, Hafsah Adha; Sahara, Sani; Yen, Phoong Seuk
UNION : Jurnal Ilmiah Pendidikan Matematika Vol 13 No 4 (2025)
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/union.v13i4.21568

Abstract

The concept of variable is central to algebraic thinking, yet many students struggle to understand it due to how it is introduced in classroom practice. This study investigates the didactic transposition of the meaning of variable from the knowledge intended by the teacher to the knowledge constructed by students. Employing a qualitative approach grounded in the Anthropological Theory of the Didactic (ATD) and hermeneutic analysis, the study examines teaching materials, teacher and student interviews, and students’ written assessments in a junior high school context. The findings reveal an epistemic shift in the meaning of variable: although the teacher intended to introduce variables as unknown quantities within algebraic relationships, classroom instruction predominantly emphasized symbolic manipulation and procedural equation solving. As a result, students interpreted variables as static placeholders for fixed values rather than as quantities that can vary. This led to a restricted, object-based understanding of variables, limiting students’ ability to engage with generalization and relational reasoning. The study concludes that prevailing didactical practices unintentionally simplify and constrain the conceptual richness of variables. This study contributes to the field of mathematics education by advocating for a pedagogical shift that explicitly bridges procedural equation solving with the dynamic and varying nature of algebraic reasoning.