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All Journal MATEMATIKA Jurnal Pengabdian Kepada Masyarakat Patikala Polyhedron International Journal in Mathematics Education
mustikaningsih, Dian
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Humanities Education Languange, Linguistic, Communication & Media Library & Information Science Mathematics Social Sciences

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REFORMULASI DARI SOLUSI 3-SOLITON UNTUK PERSAMAAN KORTEWEG-de VRIES mustikaningsih, Dian; sutimin, sutimin
MATEMATIKA Vol 5, No 2 (2002): Jurnal Matematika
Publisher : MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (84.269 KB)

Abstract

The solution of  3-soliton for Korteweg-de Vries (KdV) equation can be obtained by the Hirota Method. The reformulation of the 3-soliton solution was represented as the superposition of the solution of each individual soliton. Moreover, the asymptotic form of 3-soliton solution was obtained by limiting of the t parameter. The phase shift of each individual soliton are analysed in detail based its asymptotic form. The results of the analysis shown that the first soliton always have a phase shift called forward, the second soliton have some possibility (there is no phase shift, have a  forward phase shift, or have a backward phase shift), and for the third soliton always have a phase shift called backward.
Pelatihan dan Pendampingan Strategi Pembelajaran Literasi Numerasi Bagi Guru Sekolah Dasar untuk Menghadapi Tantangan Kurikulum Merdeka Susandi, Ardi; Sudirman, Sudirman; Wahyuningrum, Endang; Jusniani, Nia; Yumiati, Yumiati; Mustikaningsih, Dian
Jurnal Pengabdian Kepada Masyarakat Patikala Vol. 5 No. 2 (2025): Jurnal PkM PATIKALA (On Progress)
Publisher : Education and Talent Development Center of Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/patikala.v5i2.3777

Abstract

The low achievement of numeracy literacy among Indonesian students, as reflected in the results of the National Assessment and the Programme for International Student Assessment (PISA), presents a serious challenge in improving the quality of basic education. This condition demands the strengthening of teacher competencies so that they are able to design numeracy literacy learning that is more meaningful, contextual, and relevant to students' needs. The Independent Curriculum places numeracy mastery as one of the key competencies that teachers must have to support student learning outcomes. In response to this need, the Community Service Program (PKM) was designed with three main objectives, namely: (1) deepening teachers' understanding of the concept of numeracy literacy and its relevance in the Independent Curriculum; (2) developing teachers' skills in designing and implementing innovative numeracy literacy learning strategies; and (3) improving teachers' ability to utilize technology, such as learning applications and digital resources to support the learning process. Activities are carried out through training methods, intensive mentoring, and direct classroom practice involving 20 teachers of SDN Pondok Cabe Udik 01 as active participants. During the process, participants received conceptual materials, guidance on developing teaching materials, and supervision of their implementation in the field. The results of the activity showed significant improvements in understanding the concept of numeracy literacy, creativity in learning strategies, and skills in utilizing educational technology. In conclusion, this PKM program effectively improves teacher competency in numeracy literacy and has the potential to become a training model that can be replicated in various educational institutions..
Enhancing mathematical communication and learning independence through learning cycle 6E model with dynamic geometry software: A study of vocational high school students Mustikaningsih, Dian; Yumiati, Yumiati; Sudirman, Sudirman
Polyhedron International Journal in Mathematics Education Vol. 3 No. 2 (2025): pijme
Publisher : Nashir Al-Kutub Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59965/pijme.v3i2.262

Abstract

Mathematical communication ability and learning independence are essential 21st-century competencies that remain underdeveloped in vocational mathematics education, where students often perceive mathematics as irrelevant to their careers. This quasi-experimental study investigated the effectiveness of integrating the Learning Cycle 6E model with Dynamic Geometry Software (GeoGebra) in improving these competencies among vocational high school students. Sixty-nine tenth-grade students from the Marketing Skills Program were assigned to experimental (n=35) and control (n=34) groups through random sampling. The experimental group received instruction using the six-phase Learning Cycle 6E model (engage, explore, explain, elaborate, evaluate, extend) integrated with GeoGebra, while the control group received conventional expository instruction. Data were collected through mathematical communication tests and learning independence questionnaires administered as pretest and posttest. Normalized gain (N-Gain) analysis was employed to measure improvement effectiveness. Results demonstrated that the experimental group achieved significantly higher improvement in mathematical communication ability (N-Gain = 0.62) compared to the control group (N-Gain = 0.44), representing a 40.9% advantage. Similarly, learning independence improved significantly more in the experimental group (N-Gain = 0.51) versus the control group (N-Gain = 0.26), nearly doubling the control group's gain. Statistical analyses confirmed both differences were significant (p < 0.05) with large effect sizes. These findings provide empirical evidence that integrating constructivist pedagogy with dynamic technology effectively enhances both cognitive and metacognitive competencies in vocational mathematics education, offering a practical framework for revitalizing mathematics instruction to meet contemporary educational demands and career-relevant applications.
Co-Authors Endang Wahyuningrum Jusniani, Nia Sudirman Sudirman Susandi, Ardi sutimin sutimin Yumiati