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GAMBARAN KEMAMPUAN BERPIKIR REFLEKTIF SISWA DENGAN GAYA KOGNITIF FIELD DEPENDENT Asyari, Syahrullah; Sahid, Sahid; Nuraliyah, Ahmida
Pedagogy: Jurnal Pendidikan Matematika Vol. 10 No. 4 (2025): Pedagogy : Jurnal Pendidikan Matematika
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/pedagogy.v10i4.7325

Abstract

Penelitian ini bertujuan untuk mengetahui kemampuan berpikir reflektif siswa yang memiliki gaya kognitif field dependent. Penelitian ini adalah penelitian deskriptif dengan pendekatan kualitatif, subjek penelitian sebanyak dua siswa Kelas VIII B4 SMP Buq’atun Mubarakah yang dipilih dengan teknik purposive sampling. Instrumen yang digunakan dalam penelitian ini terdiri atas instrumen utama, yaitu peneliti, dan instrumen pendukung meliputi tes gaya kognitif, tes kemampuan berpikir reflektif, dan pedoman wawancara. Teknik analisis data dalam penelitian ini mengikuti alur kondensasi data, penyajian data, dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa subjek dengan gaya kognitif field dependent mampu memenuhi tiga dari lima indikator kemampuan berpikir reflektif, yaitu: mengumpulkan seluruh informasi yang diperlukan untuk menyelesaikan masalah, menemukan ide yang pertama kali muncul setelah memahami masalah, dan mengembangkan kemungkinan solusi dari informasi yang diperoleh. Penelitian ini memberikan kontribusi baru dengan mengungkap secara mendalam karakteristik kemampuan berpikir reflektif siswa bergaya kognitif field dependent pada konteks pemecahan masalah geometri, yang sebelumnya jarang dikaji secara terpisah dari gaya kognitif lainnya.
The Coefficient Parallelisator Matrix: A Diagonal Similarity Operator for Symmetry Preservation in Knot Semantic Logic Ja'faruddin, Ja'faruddin; Ashari, Nur Wahidin; Baharuddin, Baharuddin; Asyari, Syahrullah; Fadiyah, Wulan Nur; Farhan, Muhammad
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i2.10762

Abstract

This study introduces the Coefficient Parallelisator Matrix (CPM) as a novel diagonal similarity operator designed to preserve structural and semantic symmetry within the framework of Knot Semantic Logic (KSL). The CPM formalizes the process of parallelization in linguistic and conceptual structures by transforming semantic matrices through similarity operations that maintain eigenvalues, determinants, and symmetry invariants. Each element of the CPM acts as a scaling coefficient, re- balancing semantic weights while conserving the overall interpretive equilibrium of the text. Mathematically, the transformation A′ = MAM−1 establishes a spectral equivalence between the original and parallelized structures, ensuring that both share identical eigen-spectra, determinant, and Hermitian invariants. This invariance reflects a form of semantic gauge symmetry, wherein the un- derlying topology of meaning remains stable despite local transformations in semantic intensity. Conceptually, the operator bridges linguistic theory, topology, and algebraic representation, providing a formal mechanism for analyzing reflective relations such as parallelism, chiasmus, and concentric composition. The findings extend the mathematical foundation of KSL by establishing the Coefficient Parallelisator as an analytical framework for quantifying semantic symmetry—enabling deeper integration between mathematical logic, structural linguistics, and computational semantics.
Pemberdayaan Masyarakat Melalui Inovasi Lilin Aromaterapi Berbahan Minyak Jelantah untuk Pengelolaan Limbah Rumah Tangga di Kelurahan Tettikenrarae, Kec. Marioriwawo, Kab. SOPPENG Abdurahman Hamid; Siti Nur Rahmi Gani_; Nurazizah Nurdin; A. Achmad Ibrahim; Syahrullah Asyari
Journal of Community Services and Development Vol. 2 No. 1 (2026): May 2026
Publisher : LPP Chani

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64619/v2i1.26

Abstract

Waste cooking oil is one of the most common household residues that often causes environmental pollution when improperly disposed of into waterways or soil. This problem is also found in Tettikenrarae Village, Marioriwawo District, Soppeng Regency. This Community Service Program (KKN) aimed to empower the local community by introducing an innovation to recycle used cooking oil into eco-friendly and economically valuable aromatherapy candles. The program was conducted through socialization and hands-on training, involving residents in each stage of candle-making, from preparing the materials, mixing, to molding the products. The results indicated an improvement in participants’ knowledge and skills in processing household waste into useful products. Moreover, the community became more aware of the circular economy potential through creative products that can be marketed. This activity is expected to serve as an initial step toward sustainable waste management and to create opportunities for small-scale environmentally friendly businesses in the local area.
Penguatan Kompetensi Guru dalam Pemanfaatan Media Pembelajaran Digital Di SMA Bosowa School Makassar Asdar; Usman Mulbar; Syahrullah Asyari; Fifi Alya Sa'dliani; Chiara Dewi Aqilah Hasrawi; Riskan Khairi
Journal of Community Services and Development Vol. 2 No. 1 (2026): May 2026
Publisher : LPP Chani

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64619/v2i1.35

Abstract

Perkembangan teknologi pendidikan menuntut guru untuk mampu mengintegrasikan media pembelajaran digital dalam proses belajar mengajar. Namun, pemanfaatan media digital di sekolah masih menghadapi kendala, seperti keterbatasan kompetensi guru, kurangnya pelatihan, serta pembelajaran yang masih cenderung konvensional. Kegiatan pengabdian kepada masyarakat ini bertujuan untuk meningkatkan pemahaman dan kompetensi guru SMA Bosowa School Makassar dalam memanfaatkan media pembelajaran digital guna menciptakan pembelajaran yang lebih interaktif, inovatif, dan efektif. Kegiatan dilaksanakan dalam bentuk webinar secara daring melalui Zoom Meeting pada Jumat, 8 Mei 2026. Tahapan kegiatan meliputi persiapan materi, pelaksanaan webinar, diskusi, tanya jawab, serta dokumentasi kegiatan. Data diperoleh melalui dokumentasi berupa poster, daftar hadir, dan tangkapan layar pelaksanaan webinar. Hasil kegiatan menunjukkan bahwa webinar terlaksana dengan baik dan mendapat respons positif dari peserta. Guru menunjukkan antusiasme tinggi selama kegiatan, aktif dalam sesi diskusi, serta memperoleh wawasan baru mengenai penggunaan media digital, seperti presentasi interaktif, video pembelajaran, dan platform pembelajaran daring. Kegiatan ini juga mendorong motivasi guru untuk mengembangkan pembelajaran berbasis teknologi yang sesuai dengan kebutuhan peserta didik. Meskipun terdapat kendala berupa keterbatasan waktu dan gangguan jaringan internet, kegiatan tetap berjalan lancar. Dengan demikian, webinar ini menjadi salah satu upaya strategis dalam penguatan kompetensi guru untuk mendukung peningkatan kualitas pembelajaran di era digital.
Analysis of Visual Students' Quadratic Function Numeracy AKM Problem- Solving Ability Based on Bloom's Cognitive Muh. Nur Fitrah Hasyim; Suradi Tahmir; Syahrullah Asyari
Daya Matematis: Jurnal Inovasi Pendidikan Matematika Vol 14, No 2 (2026): Juli
Publisher : Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26858/jdm.v14i2.86544

Abstract

This study aims to describe the mathematical problem-solving abilities of senior high school students with a visual learning style (GB) in solving Minimum Competency Assessment (AKM) numeracy tasks on quadratic functions, categorized by cognitive performance groups. This descriptive qualitative study involved research subjects selected through a combination of a learning style questionnaire and a cognitive baseline test (TG). The subjects were stratified into three distinct cognitive tiers based on Bloom's taxonomy criteria: a low-cognitive visual subject (mastering levels C1-C2), a medium-cognitive visual subject (mastering level C3), and a high-cognitive visual subject (mastering levels C4-C6). Data collection instruments comprised a customized AKM Numeracy test containing one contextual essay question and one complex multiple-choice item (true/false format requiring written logical validation), followed by task-based semi-structured interviews. The results demonstrated that the low-cognitive visual subject successfully performed initial stages of problem understanding by extracting text into clear geometric properties, yet failed to construct algebraic modeling or procedural executions. The medium-cognitive visual subject showed strong performance in identifying explicit data arrays and accurately executing mathematical algorithms, but struggled when translating complex non-linear spatial graphs into multi-variable expressions. Conversely, the high-cognitive visual subject exhibited a comprehensive and integrated problem-solving capacity, navigating fluidly across descriptive schemas, algebraic manipulation, optimization checks, and formal abstract justifications
Kesalahan dan Kesulitan Mahasiswa Pendidikan Matematika Unismuh dalam Menegasikan Definisi Limit Fungsi Ikhbariaty Kautsar Qadry; Andi Mulawakkan Firdaus; Muhammad Darwis M; Syahrullah Asyari; Rezki Ramdani
Sainsmat : Jurnal Ilmiah Ilmu Pengetahuan Alam Vol. 10 No. 1 (2021): Volume 10 Nomor 1 (Maret 2021)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Makassar

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

Abstract

Thisis a qualitative research aimedatuncoveringthemistakes and difficulties ofmathematics education students of Unismuh in negating the definition of limit of function.Theresearchsubjectsweretwostudentsofthesecondsemesterofthemathematicseducation study program of Unismuh with high ability in mathematical logic. This studyused a methodological triangulation technique to check the validity of the data. It was toprovide the subjects with tests and interviews. There were two supporting instruments inthis study, namely, a test such a mathematical logic ability test which was used to select the students to be there search subjects, andatest for investigating their ability to negate the definition of limit of function. The results show hat the two subjects have similarities anddifferences. One of them experiences all the types of Newman errors, and the other onehasno transformation error type only. The two subjects experience the same difficulty indealing with statements with multiple quantifiers. They have difficulty in justifying thequantifier and its meaning. Also, difficulty in finding the function of thestatement andjustifying the part to negate