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EDGE IRREGULAR REFLEXIVE LABELING OF DUMBBELL GRAPH, CORONA OF OPEN LADDER, AND NULL GRAPH Zalsa, Thetania Miftakul; Indriati, Diari; Martini, Titin Sri
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 4 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss4pp2767-2778

Abstract

Graph is a simple, connected, undirected graph with vertex set and edge set . A graph is called to have an edge irregular reflexive -labeling if its vertices can be labeled with even numbers from until and its edges can be labeled with positive integers from to such that the weights for all the edges are different, where . The weight of edge uv in graph with labeling, denoted by , is defined as sum of the edge label and all vertex labels incident to that edge. The reflexive edge strength of a graph , denoted by , is the value of minimum of the largest label. In this paper, edge irregular reflexive -labeling for Dumbbell Graph and corona of open ladder and null graph will be determined. The reflexive edge strength of the Dumbbell Graph with and is for and for The reflexive edge strength of the corona of open ladder and null graph with n ≥ 3 and m ≥ 1 is for and for .
Improving Students' Metacognition Skills through Mathematics Learning Based on Realistic Mathematics Education Noviyanti, Ika Nurma; Riyadi, Riyadi; Indriati, Diari
Mosharafa: Jurnal Pendidikan Matematika Vol. 13 No. 2 (2024): April
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v13i2.1872

Abstract

Metakognisi sangat penting namun dalam realitanya belum sesuai dengan yang diharapkan. Tujuan penelitian ini untuk menghasilkan modul pembelajaran yang valid, praktis, dan efektif serta untuk mengetahui metakognisi siswa pada materi Aljabar menggunakan modul matematika berbasis Realistic Mathematics Education (RME) yang telah dikembangkan. Penelitian ini menggunakan metode penelitian R&D (Research and Development). Partisipan pada penelitian ini adalah 2 kelas pada sekolah menengah pertama (SMP) dimana masing-masing kelas akan menjadi kelas eksperimen dan kelas kontrol. Subjek yang digunakan pada kelas eksperimen sebanyak 31 orang dan subjek pada kelas kontrol sebanyak 32 orang. Penelitian pengembangan pada penelitian ini menggunakan model Four-D (4D) yang memiliki empat tahapan meliputi pendefinisian, perancangan, pengembangan, dan penyebaran. Hasil penelitian ini menunjukkan bahwa modul matematika yang dikembangkan valid, praktis, dan efektif serta siswa yang menggunakan modul matematika berbasis RME mempunyai metakognisi lebih baik daripada siswa yang menggunakan buku teks matematika yang disediakan oleh sekolah. Temuan dari penelitian ini dapat dijadikan landasan dalam merancang bahan ajar yang relevan. Metacognition is very important, but in reality, it is not in accordance with expectations. The purpose of this research is to produce valid, practical, and effective learning modules and to determine students' metacognition in Algebra material using the Realistic Mathematics Education (RME)-based mathematics module that has been developed. This research uses the R&D (Research and Development) research method. Participants in this study are 2 classes in junior high school (SMP) where each class will be an experimental class and a control class. The subjects used in the experimental class were 31 people and the subjects in the control class were 32 people. The development research in this study uses the Four-D (4D) model which has four stages including definition, design, development, and deployment. The results of this study show that the mathematics modules developed are valid, practical, and effective and students who use RME-based mathematics modules have better metacognition than students who use mathematics textbooks provided by schools. The findings of this study can be used as a basis for designing relevant teaching materials.
Dominant Factor were Caused Eight Grade Students Errors in Solving on Cartesian Coordinate Multistep Routine and Non-Routine Modification Story Problems Hendrayanto, Dhani Nur; Riyadi, Riyadi; Indriati, Diari
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.7313

Abstract

Giving a high level modification story problems with multistep routine and non-routine problems in cartesian coordinate learning is an effort to achieve optimal learning and also important because it has good effect for students. Less than optimal learning of cartesian coordinates for eight grade it was usually represented by the frequent of student errors occurrence on an ongoing basis in solving on mathematical problems in assignments and daily tests. This research purpose was to reveal the dominant factor were caused eighth grade student errors in solving on cartesian coordinate multistep routine and non-routine modification story problems. This research is a descriptive qualitative in type. Research data collection based on survey, interview, test and documentation.  The research subjects in this research were eight grade students of SMPN 4 Wonosobo. In this research 18 students of  eight grade students SMPN 4 Wonosobo as the research sample. The sampling technique it was used in this research is purposive sampling. The results of this research indicate the dominant factor were caused eighth grade student errors in solving on cartesian coordinate multistep routine and non-routine modification story problems is students difficulties.  Students difficulties such as compiling steps to solve problems in the form of multistep story problems, understanding the position conception of starting point with a certain point, understanding the conception of a perpendicular lines and a parallel lines to the X and Y axis, determining the distance of a point to certain point. The implication of this research is can obtain information about the dominant factor were caused student errors in solving on cartesian coordinate multistep routine and non-routine modification story problems as the relation to the current idealization of mathematics learning optimization and can be able for planing another appropriate and solution steps for the implementation of mathematics learning in an effort to minimize student errors.
ON INCLUSIVE TOTAL DISTANCE IRREGULARITY STRENGTH OF JOINT PRODUCT GRAPHS Dian Eka Wijayanti; Diari Indriati; Husin, Mohamad Nazri; Slamin
Jurnal Matematika UNAND Vol. 15 No. 1 (2026)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.15.1.44-56.2026

Abstract

Graph theory is one of the branches of mathematics that is rapidly developing due to its applications in solving various problems, including electronic networks, communication network models, transportation systems, and carbon reserve networks. The topology of these networks is simply represented using the concept of graphs. Specifically, graph labeling is widely used to address issues such as radio frequency assignment, computer network coding, data transfer optimization, and marketing distribution. Thus, conducting research to develop graph labeling methods is highly significant. Let $G=\left(V_G,E_G\right)$, be a simple connected graph, and $\lambda\ :V_G\cup E_G\rightarrow{1,\ 2,\ \ldots,\ k}$ be a labeling function on $G$. The inclusive weight of a vertex $v\in G$ is defined as the sum of the labels of $v$, all vertices in the $v$ neighborhood, and its incident edges. If all vertices in $V_G$ have a distinct inclusive weight, then $\lambda$ is called an inclusive distance vertex irregular total $k$-labeling of $G$ . The total distance vertex irregularity strength of $G$, denoted by $\widehat{tdis}\left(G\right)$, is the minimum $k$ for which such a labeling exists. This paper investigates the inclusive distance vertex irregular total $k$-labeling for certain classes of joint product graphs. Specifically, we determine the inclusive total distance irregularity strength of the joint product of path, cycle, and complete graphs, providing new insights into their structural labeling properties
Systematic Literature Review of Mathematics Learning Strategies for Children with Special Educational Needs Tata Rahmasari; Imam Sujadi; Diari Indriati; Farida Nurhasanah
MATHEMA: JURNAL PENDIDIKAN MATEMATIKA Vol. 7 No. 2 (2025): MATHEMA
Publisher : Universitas Teknokrat Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33365/jm.v7i2.168

Abstract

Learning mathematics for children with special needs requires an approach that is tailored to the type and needs of each student. This literature review aims to find out about mathematics learning strategies for children with special needs. This literature study presents a literature review of mathematics learning strategies and how they are implemented, including the types of children with special needs, the topics discussed and the level of education of the children with special needs. The literature study method used was SLR (Systematic Literature Review) with the process of selecting articles for SLR referring to the PRISMA flow chart for the period 2020-2024, considering that the literature on learning strategies for children with special needs continues to grow. Data were collected from Web of Science and Scopus databases, and 10 relevant articles from 2020 to 2024 were selected and analysed. The results revealed that from the 10 literatures, it was found that learning strategies must be adapted to the type of special needs that students have. The strategies vary from video modelling, virtual manipulatives, to STEAM and inquiry-based learning, all of which aim to help children with disabilities master mathematical concepts that were previously considered difficult.
On Reverse Super Edge Bimagic Labeling of Gear Graph, Hibiscus Graph and Dove Tail Graph Titin Sri Martini; Diari Indriati; Tri Atmojo Kusmayadi
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 10 No. 2 (2024)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j24775401.ijcsam.v10i2.4547

Abstract

APOS Theory and Relational Understanding: A Systematic Literature Review Ramadiana, Anastasya; Riyadi; Diari Indriati; Farida Nurhasanah
Mandalika Mathematics and Educations Journal Vol 8 No 1 (2026): Edisi Maret
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v8i1.11155

Abstract

Relational understanding is an essential skill that reflects students' mastery of the relationships between mathematical concepts, while APOS Theory provides a framework for analyzing the mental construction of this understanding. This study aims to identify and compare the application of APOS Theory and relational understanding in the context of mathematics learning. This study used the Systematic Literature Review (SLR) method based on the PRISMA framework. The literature search was conducted in the Scopus and Google Scholar databases with publications limited to 2014 to 2024, focused on elementary and secondary school levels. Of the 228 identified studies, 11 empirical articles were selected for analysis. The review results showed significant differences in the focus of the material; APOS Theory is predominantly applied to number topics and is often used as a basis for developing assessment instruments. In contrast, relational understanding is more widely studied in algebra topics. Furthermore, it was found that the problem-solving approach is a major factor influencing the formation of students' relational understanding. These findings offer educators insights into selecting pedagogical approaches that are suitable for the material's characteristics.