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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika
Salman, A. N. M.
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Religion Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Mathematics Mechanical Engineering Physics Transportation Other

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THE RAINBOW VERTEX-CONNECTION NUMBERS OF WHEEL-SHIELD GRAPHS Palupi, Ratnaning; Salman, A. N. M.
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 4 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss4pp2377-2390

Abstract

Let be a nontrivial simple connected graph, be an edge of and be an integer greater than or equal to . A path of order , denoted by , is a graph whose vertices can be labelled such that . A -shield graph is a graph obtained by and copies of such that the edge of -th embedded to -th edge of by embedding to and to . A path in a vertex-colored graph is said to be rainbow-vertex path if every internal vertex in the path has different color. A vertex-colored graph is said to be rainbow-vertex connected if for every pair of vertices there exists a rainbow-vertex path connecting them. The rainbow- vertex connection number of , denoted by , is the minimum colors needed to make rainbow-vertex connected. In this paper, we determine the rainbow-vertex connection numbers of of wheel-shield graphs , specifically finding that the number ranges from to depending on the order of the wheel.
Students’ conceptual understanding of transformation geometry based on Van Hiele’s level assisted by GeoGebra Luhukay, Agnes Stefine; Kodri, Riskika Fauziah; Salman, A. N. M.
Alifmatika (Jurnal pendidikan dan pembelajaran Matematika) Vol 7 No 1 (2025): Alifmatika - June
Publisher : Fakultas Tarbiyah Universitas Ibrahimy

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35316/alifmatika.2025.v7i1.148-166

Abstract

Mathematics has lower accomplishment than other subjects, according to TIMSS in 2011 and 2015 and PISA in 2015 and 2018. Geometry and measuring are the topics with the fewest right answers in the most recent National Exams, which were held in 2018 and 2019. According to the Minister of Education and Culture Regulation No. 16 of 2022, instructors must be able to use technology and communication devices in the learning process. The purpose of this study is to see how Van Hiele theory, helped by the Geogebra application, affects students' conceptual grasp of the geometry transformation topic taught in the D phase of the Merdeka Curriculum at the junior high school level. The subjects of this research were 55 students of grade IX who were divided into two groups, namely the experimental class which received learning with the application of Van Hiele theory assisted by the Geogebra application and the control class which applied conventional learning. The research was conducted using a mixed-methods approach, which combines both quantitative and qualitative methodologies. By using the Mann Whitney test on student score data of both class, it was concluded that there was no significant effect on level 0-visualization, level 1-analysis, and level 2-informal deduction, but there was a significant effect on students' abilities at level 3-deduction and level 4-rigor, which means that students who are taught using Van Hiele learning theory assisted by the Geogebra application have better conceptual understanding than students who are taught conventionally.
Co-Authors Kodri, Riskika Fauziah Luhukay, Agnes Stefine Palupi, Ratnaning