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All Journal Jurnal Pendidikan dan Pengajaran AdMathEduSt: Jurnal Ilmiah Mahasiswa Pendidikan Matematika Proceedings Education and Language International Conference Formatif: Jurnal Ilmiah Pendidikan MIPA Zero : Jurnal Sains, Matematika, dan Terapan JURNAL PENDIDIKAN TAMBUSAI JNPM (Jurnal Nasional Pendidikan Matematika) Pedagogy Review
Pramudya, Ikrar
Department Of Mathematics Education, Sebelas Maret University, Indonesia
Agriculture, Biological Sciences & Forestry Humanities Chemistry Education Languange, Linguistic, Communication & Media Mathematics Physics Public Health Social Sciences Other

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Identification of Subgroups of Geometric Transformations using Linear Algebra and Group Theory Ikrar Pramudya; Rubono Setiawan; Mardiyana Mardiyana; Ponco Sujatmiko; Dyah Ratri Aryuna
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 3 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i3.26564

Abstract

The set of all plane geometric transformations  forms a group under the binary operation of function composition. One of its subgroups consists of all transformations that can be expressed in the form T(x) = Ax + v, where A is an invertible (2x2) and v is a fixed vector . This study aims to identify the existence and structure of certain subgroups within through a linear algebra approach. The research methods include a literature review, simulations on specific cases to obtain a more concrete understanding of the problem, and deductive reasoning based on mathematical syllogisms to derive properties and theorems that can be algebraically verified. Consistent with the research objectives, the concepts and theoretical foundations employed are drawn from the analytical properties of plane geometry and linear algebra. These concepts and theorems are revisited to ensure their relevance to the research problem and applicability in its resolution. By applying these theoretical constructs to the problem, several subgroups whose existence can be proven algebraically are identified. These subgroups include the translation subgroup, the subgroup containing rotation transformations, the group of isometries, and the group of similarities. 
Analyzing Students’ Mathematical Representation Skills in Probability Based on Learning Style Variations Fatkhunur Fariza Rahmadiansyah; Imam Sujadi; Ikrar Pramudya
Pedagogy Review Vol 3, No 2 (2024): Pedagogy Review
Publisher : CV. Institute of Multidisciplinary Research and Community Service (CV. IMRECS))

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61436/pedagogy/v3i2.pp82-94

Abstract

Abstract: Describe the mathematical representation of each student's learning style in solving probability material problems. The research form used is qualitative research. The subjects of the study were students of class VIII A of SMPN 3 Ngawi who had studied probability topic. The research data came from written tests and interviews. Subjects with visual learning style have sufficient ability in word representation, less in visual representation, both in pictorial and symbolic representation. Subjects with auditory learning style have sufficient ability in word and symbolic representation, both in visual and pictorial representation. Subjects with read/write learning style have insufficient ability in word representation, both in visual representation, sufficient in pictorial and symbolic representation. Subjects with kinesthetic learning style have sufficient ability in word, visual and pictorial representation and less in symbolic representation.   Keywords: mathematical representation, probability, learning style.
Co-Authors Arif Hardiyanti Dyah Ratri Aryuna Era Hervilia Farida Nurhasanah Fatkhunur Fariza Rahmadiansyah Fransiska Januarti Gusman Imam Sujadi Isnandar Slamet Ivana Ivana Kusnul Chotimah Dwi Sanhadi Leo Setiawan Lintang Fitra Utami Mardiyana Mardiyana Nugroho, Purwo Setiyo Nurul Kustiyati Ponco Sujatmiko Putri Sintia Gusantika Riyadi Riyadi Rubono Setiawan Sayekti Dwiningrum Sri Subanti Tsaqifah, Sofi