Sahara, Sani
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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.