Liny Mardhiyatirrahmah
Politeknik Negeri Tanah Laut

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The concept of fraction: the frame of local wisdom, Al-Qur'an, and Hadith Dewi Rosikhoh; Zainuddin Syarif; Liny Mardhiyatirrahmah
International Journal on Teaching and Learning Mathematics Vol 8, No 2 (2025): December (This issue is published papers with author/co-author from two countrie
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ijtlm.v8i2.35971

Abstract

Culture was the case that needed to be protected, but on the other hand, many of the current generations did not know their own culture. This research explored the fraction concept used by the Madurese people, especially Pamekasan, and its relation to the fraction concept in the Al-Qur’an and hadith. This research was qualitative research with an ethnographic approach to explore information related to the fraction concept within the framework of Madurese society. The data collection techniques used interviews and documentation. Furthermore, a literature review was carried out to examine the fraction concept in the Al-Qur’an and hadith. The research results showed 6 fraction numbers found in Madurese culture, especially Pamekasan, 13 in the hadith, and 8 in the Al-Qur’an. Additionally, there were local measuring units, local measuring instruments, and local currency units that contained fraction numbers when converted to other units or international units. In this way, the discovery of the fraction concept within the framework of Madurese society, especially Pamekasan, could be developed and internalized in learning fractions in the classroom.
Defragmentation of construction holes in students with high mathematical ability: Addressing “skipping steps” errors using scaffolding Liny Mardhiyatirrahmah; Dewi Rosikhoh
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 11, Issue 1, January 2026
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v11i1.14077

Abstract

High-ability students generally excel in mathematics but frequently make "skipping steps" errors during complex problem-solving. These errors occur due to cognitive construction holes, where specific schemas are unconsciously bypassed, leading to incomplete final solutions. This study aims to identify and defragment these construction holes in high-mathematical-ability students using Level-3 scaffolding to restore complete cognitive processing.  A qualitative multiple-case study was conducted involving three high-ability eighth-grade students from three different middle schools. Data were comprehensively collected through written tests, semi-structured interviews, and observations. The analysis utilized cognitive mapping based on Polya’s problem-solving stages to pinpoint specific cognitive gaps.  Each student exhibited a "Skipping Steps" construction hole, omitting one or two essential schemas in the final stages. The application of Level-3 scaffolding successfully guided students to recover these missing schemas. It enabled them to self-detect errors, reconstruct their mathematical reasoning, and achieve accurate solutions while fully maintaining their procedural independence. Targeted conceptual scaffolding effectively remediates light construction holes in high-ability learners, ensuring problem-solving completeness without compromising their learning autonomy.
Eksplorasi Etnomatematika pada Tugu Hari Jadi Kabupaten Dati II Tanah Laut Dewi Indra Anggraeni; Bayu Agung Wicaksono; Liny Mardhiyatirrahmah
Mandalika Mathematics and Educations Journal Vol 7 No 4 (2025): Desember
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v7i4.10802

Abstract

This study explores the ethnomathematics embedded in the architecture of the Tugu Hari Jadi Kabupaten Dati II Tanah Laut, addressing the persistent issue of low mathematical literacy among Indonesian students in PISA assessments. The research emphasizes the urgent need for culturally relevant pedagogy to make mathematics less abstract and more engaging, particularly given the lack of existing ethnomathematical studies focusing on specific monuments like this one. The primary objective was to identify the inherent mathematical elements within the monument's design and determine their educational applicability. Utilizing a qualitative ethnographic approach, the research successfully catalogued concepts from both plane geometry (rectangles, circles, octagons) and solid geometry (octagonal prisms, cylinders, and hemispheres), complete with their respective mathematical formulas for area, perimeter, and volume calculations, and the role of trigonometry. The findings offer a strong ethnomathematical interpretation, revealing the monument as a cultural artifact that harmoniously symbolizes local values such as balance, steadfastness, and divinity. Educationally, the monument serves as an authentic learning resource to visualize complex geometry, thereby providing valuable contextual material to increase student interest, motivation, and critical mathematical literacy skills in line with global standards.