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PENGGUNAAN ALAT PERAGA PAPAN ALJABAR DALAM PENJUMLAHAN DAN PENGURANGAN BILANGAN BULAT UNTUK SISWA PKBM BUDI LUHUR Triyani Triyani; Niken Larasati; Ari Wardayani; Agustini Tripena; Slamet Riyadi
Jurnal Pengabdian Pendidikan Masyarakat (JPPM) Vol 3 No 2 (2022): Jurnal Pengabdian Pendidikan Masyarakat (JPPM) Volume 3, No 2 Oktober 2022
Publisher : LPPM UNIVERSITAS MUHAMMADIYAH MUARA BUNGO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52060/jppm.v3i2.967

Abstract

This Community Service activity aims to improve the quality and motivation of mathematics learning, especially the addition and subtraction of integers for PKBM Budi Luhur Pekaja Banyumas students. This learning activity is carried out offline at the beginning of the odd semester of the 2022/2023 academic year by involving 7 (seven) graders. The learning method used is lectures and demonstrations of the use of teaching aids called 'algebra boards'. Algebra board teaching aids are concrete teaching aids resulting from the development of semi-concrete teaching aids, namely the number line that is used to explain the addition and subtraction of integers. The evaluation of the success of the learning activity results is based on the pre-test and post-test scores given to students before and after using the algebra board props. The results of the evaluation showed that the average score of students increased by 64.7% for the material of adding integers and 39.1% for the material of subtracting integers.
Grup Permutasi pada Pola Batik Banyumas Bagas Sadatmaja Suyatno Putra; Suroto Suroto; Ari Wardayani; Najmah Istikaanah; Niken Larasati
Teorema: Teori dan Riset Matematika Vol 10, No 2 (2025): September
Publisher : Universitas Galuh

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25157/teorema.v10i2.16463

Abstract

Pada penelitian ini dibahas grup permutasi pada pola batik Banyumas. Identifikasi permutasi dilakukan dengan menyelidiki simetri rotasi dan refleksi pada pola batik Banyumas. Selanjutnya diselidiki bahwa sistem matematika dari himpunan semua permutasi setiap pola batik Banyumas yang dilengkapi dengan operasi komposisi membentuk struktur aljabar grup. Hasil yang diperoleh adalah jenis-jenis grup struktur aljabar yang dibentuk oleh pola-pola batik Banyumas. Pola tirta teja membentuk grup siklik C2, pola ayam puger membentuk grup dihedral D4, pola babon angrem dan sida mukti membentuk grup dihedral D2, dan pola jahe serimpang, udan riris, lumbon, sida luhur, sekar jagad, dan gemek setekem membentuk grup identitas. Sementara itu, pola pring sedhapur, serayuan, sekar surya, dan godhong kosong tidak membentuk struktur grup permutasi. 
Homomorphism on Rough Groups Nurudzati Istiqomatu Aini; Suroto Suroto; Ari Wardayani
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 3 (2026): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v11i3.1149

Abstract

Rough set is a mathematical concept to model uncertainty, vagueness, or incomplete information. This research discusses the concept and properties of homomorphisms on rough groups. Homomorphisms on rough groups are formed by mapping two upper approximations of subsets of classical groups, where those approximations are classical subgroups. The results show that a homomorphism on rough groups preserves the binary operation and a classical group homomorphisms is a special case of homomorphisms on rough groups. Furthermore, the properties of homomorphisms on rough groups related to preservation identity element and inverse element, as well as injective and surjective functions, are obtained. The concepts of kernel and image of homomorphisms on rough groups are defined by mapping elements within these approximations. In addition, a necessary and sufficient condition for a homomorphisms on rough groups to be isomorphisms is iff the kernel contains only the identity element of the domain and the image equals the entire codomain.