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181	MATHEMATICS AND SCIENCE EDUCATIONS	ABS-345
On The Strong Metric Dimension of Generalized Petersen Graph GP_{n,1} and K_m \odot P_n Graph Nafis Saiful Arsyi (a*), Tri Atmojo Kusmayadi (a) a) Faculty of Mathematics and Natural Sciences, Sebelas Maret University Jalan Ir. Sutami No. 36 Kentingan, Jebres Surakarta 57126, Indonesia *nafisarsyi16[at]student.uns.ac.id Abstract Let G be a connected graph with vertex set V(G) and edge set E(G). For every pair of vertices u and v in V(G), the interval I[u,v] between vertex u and vertex v is the collection off all vertices that belong to some shortest u - v path. A vertex s in set S where S is subset of V(G) strongly resolves two vertices u and v if u belongs to a shortest v - s path or if v belongs to a shortest u - s path. A vertex set S of G is a strong resolving set of G if every two distinct vertices in G are strongly resolved by some vertex in set S. The strong resolving set of G with minimal cardinality is defined as strong metric basis and the strong metric dimension sdim(G) of a graph G is defined as the cardinality of strong metric basis. In this research we determine the strong dimension metric of complete graph with corona operation by path graph and generalized petersen GP_{n,1} graph with n\geq 3. The method thst used in this research is literature study. We obtain the strong metric dimension of complete graph with corona operation by path graph is sdim(K_m \odot P_n) = m for m \geq 3 and n=1, and sdim(K_m \odot P_n) = 2m for m \geq 3 and n \geq 2. The strong dimension of generalized Petersen graph GP_{n,1} is sdim(GP_{n,1} ) = n for n\geq 3. Keywords: generalized petersen graph- graph theory- K_m \odot P_n graph- strong dimension metric- strong resolving set Share Link | Plain Format | Corresponding Author (Nafis Saiful Arsyi)

182	MATHEMATICS AND SCIENCE EDUCATIONS	ABS-91
Identity Graph of Multiplicate Group of Integer Modulo with Order of Prime Muhammad Naoval Husni (a), Lalu Riski Wirendra Putra (a), Dwiky Yudha Prasetya (a), Zata Yumni Awanis(a*) a) Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Mataram, Jalan Majapahit No. 62, Mataram 83115, Indonesia. Abstract In recent years, graphs are used to represent an abstract finite group. One type of graph of a group is an identity graph defined by Vasantha and Smarandache in 2009. An identity graph is an ordered pair of a vertex set V(G) and an edge set E(G) where two distinct vertices x and y of G are adjacent if xy=e with all vertices are adjacent to the identity vertex. In this paper, we provide the identity graph of the multiplicate group of integer modulo n, where n is prime number and 1 is the identity of multiplicate group of integer modulo n. We also provide some properties of the obtained identity graph. Keywords: Modulo group- identity graph. Share Link | Plain Format | Corresponding Author (Muhammad Naoval Husni)

183	MATHEMATICS AND SCIENCE EDUCATIONS	ABS-100
Group Theory in Indonesian Music Themes Ditianti Julrizkiah Khoirunissa, Irawati Institut Teknologi Bandung Abstract This project discusses group theory in Indonesian music themes. Group theory is one of the foundations of algebra. Because of its abstract nature, algebra is seen more as a subject in art than as a subject in science. Algebra is considered too abstract, so it seems that abstract algebra can not be seen in everyday life. Seeing group theory in everyday life, especially in the field of music in Indonesia is not plenteous, so this project aims to look at group theory in Indonesian music themes and from a teaching point of view, this project aims to show that studying group theory can be more enjoyable without compromising basic essence of group theory. The group theory used in this study is the basic properties of group theory, namely the nature of closure, associativity, the presence of an identity element, and for each element in the group there is an inverse. This includes Lagrange^s theorem which states that the order of subgroup H of a finite group G divides the order of group G, and the theorem regarding left cosets, namely: Suppose G is a group, H is a subgroup of G, and g&#8712-G, then: (i) g&#8712-gH, (ii) For the left coset of H in G, both are equal or disjoint, and (iii) The number of members in gH is |H|. The Indonesian music themes used include: romance, separation, self-view, religious, escapism, nationality, politics, economics, morals, and tradition. The ordering of these themes is based on Five Principles of The Indonesian State, namely Pancasila. So the order becomes: religious, moral, tradition, romance, separation, self-view, escapism, nationality, politics, and economics. The musical themes that have been sorted are corresponded with integers 0 - 9, so it will be obtained that the Indonesian music themes form a group of integers from modulo 10, and under the addition operation, the musical theme group is also isomorphic to Z_10. Then, using the addition operation that applies to the group, it is found that the themes of Indonesian music fulfill all the axioms of the group and are also related to group theory, including Lagrange^s Theorem and left cosets^s theorem. Keywords: Group Theory, Indonesian Music Themes, Lagrange^s Theorem, Theorem Regarding Left Cosets, Algebra. Share Link | Plain Format | Corresponding Author (Ditianti Julrizkiah Khoirunissa)

184	MATHEMATICS AND SCIENCE EDUCATIONS	ABS-101
Principal Component Analysis of Mathematical Justification Skills Test Results on Probability for Eighth-Grade Students Udjianna Sekteria Pasaribu (a), Rina Musannadah (b*), Nisa Fadlilah Fathul Ilmi (a) a) Statistics Research Group, Department of Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia b) Magister Program in Mathematics Teaching, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia *Corresponding Author: 24621014[at]mahasiswa.itb.ac.id Abstract Multivariate analysis can be used to examine the data and discover a variety of interpretations. Many education-related data sets need to be analyzed using more in-depth statistics. Student learning outcomes are an example of data in education. This study analyzed the mathematical justification skill test results using Principal Component Analysis (PCA). PCA is a type of multivariate statistical analysis that turns random variables that were once related to each other into new random variables that are not related to each other. These new variables are then called the Principal Components (PCs). Thirty-eighth-grade students from XXX junior high school were observed after being taught the same way: a guided discovery approach with the mathematical justification skills oriented. Four problems of mathematical justification are used on the test. The data used in this study are continuous quantitative data with an interval of [0, 15] for problems 1, 2, and 3 and an interval of [0, 19] for problem 4. PCA was performed after the data were transformed and met the assumptions of normality. The random variables that we transformed were the random variables for problems 1, 3, and 4. Based on the analysis, the Principal Component called the grade of students in determining the probability of an event, was chosen. The PC equation is PC1=0,006Problem1-0,0301Problem2-0,9995Problem3+0,0042Problem4. The Principal Component that was formed and can represent the absorption of data up to 97.12%. From this equation, question 3 has a reasonably significant coefficient in PC1. So, to test the mathematical reasoning skills of eighth-grade junior high school students on probability it is sufficient to pose a single question based on the criteria of PC1. Keywords: Principal Component Analysis, Mathematical Justification Skill, Mathematical Justification Test Share Link | Plain Format | Corresponding Author (Rina Musannadah)

185	MATHEMATICS AND SCIENCE EDUCATIONS	ABS-358
The Evaluation of Academic Potential Ability of Students in Various Island in Indonesia through Analysis of Variance and Correpondence Analysis Ferdy Rontos (a), Kurnia Handoko (a), Andri Setiawan (a), Utriweni Mukhaiyar (b*) (a) Master Program in Mathematics for Teaching, Faculty of Mathematics and Natural Science, Institut Teknologi Bandung (b*) Statistics Research Division, Faculty of Mathematics and Natural Science, Institut Teknologi Bandung *Corresponding Author: utriweni.mukhaiyar[at]itb.ac.id Abstract One measure of the equality in education is that every region has the equal capabilities, as expected in the Indonesian education standards. The academic potential ability of students is one aspect of ability to be measured in measuring the learning and education achievements of Indonesia. Here the academic potential ability of each island in Indonesia is evaluated using the results of the Scholastic Potential Test of 1,000 best schools in 2022. The data were analyzed using Analysis of Variance and correspondence analysis. The overall result showed that among the islands of Java, Sumatera, Kalimantan, Sulawesi, Bali and Nusa Tenggara, as well as Papua, there were at least two islands that had significantly different quantitative abilities, as well as the ability to understand reading and writing, and general reasoning ability. In contrast, knowledge and general understanding of the six islands did not differ significantly. It was also obtained that Papua with Bali and Nusa Tenggara had a close average quantitative ability while Sulawesi and Sumatera with Papua, Bali and Nusa Tenggara were significantly different. Papua with Sulawesi had a significantly different average ability to understand reading and writing, as well as general reasoning ability. Keywords: LTMPT, SBMPTN2022, Scholastic potential score in Indonesia, ANOVA, Correpondence Analysis, Top 1000 school based on UTBK 2022 Share Link | Plain Format | Corresponding Author (Ferdy Rontos)

186	MATHEMATICS AND SCIENCE EDUCATIONS	ABS-118
DISCRIMINATORS OF THE RESEARCH ACHIEVEMENT OF THE GRADE 12 STUDENTS IN THE DIVISION OF NUEVA VIZCAYA, PHILIPPINES Lany Delmendo- Dullas (a*)and Maylene Hombrebueno-Bisconde (b*) a) Mathematics and Statistics Department, Nueva Vizcaya State University, Bayombong Campus, Philippines b) Mathematics Department, Nueva Vizcaya General Comprehensive High School, Philippines Abstract Research is a skill needed by students to become critical and creative to generate new concepts, methodologies and understandings that will challenge them to help contribute to the improvement and development of the society. As this study aimed to determine the discriminators of the research achievements of the Grade 12 STEM students in the Division of Nueva Vizcaya, Philippines. It investigated the students in terms of their profile, levels of research interest, research self - efficacy, interpersonal and instructional perception towards research training environment, and obtained the model that discriminates students with high or low Research Achievement.This study employed the descriptive and exploratory designs. The descriptive statistics were used to describe the profile of the students and the levels of research interest, research self - efficacy, interpersonal and instructional perception towards research training environment of the students. Discriminant analysis was employed to determine the significant discriminators of high or low Research Achievement. The study found that students considered themselves interested and moderately efficient towards research activities and research - related tasks. They perceived that the intervention of research training environment was moderately effective in their study of research. The size of school and the Statistics and Probability grade are the discriminators that differentiate the high or low performing of the research achievement of students. Thus, teachers would have to become more enthusiastic in their ways of teaching in the field of Statistics and Probability. Keywords: Research Achievement, high and low performing students, Research Interest, Research Self - Efficacy, Research Training Environment. Share Link | Plain Format | Corresponding Author (Lany Delmendo Dullas)

187	MATHEMATICS AND SCIENCE EDUCATIONS	ABS-127
Bibliometric Analysis of Ethnomathematics Research in Indonesia from scopus Database Edi Supriyadi, Turmudi, Jarnawi Afgani Dahlan, Dadang Juandi Universitas Pendidikan Indonesia Abstract Bibliometric analysis is a useful tool for quantitatively examining the publication and citation patterns of a particular research field. In this study, we conduct a bibliometric analysis of ethnomathematics research in Indonesia using the Scopus database. Ethnomathematics is an interdisciplinary field that studies the mathematics of various cultural and indigenous communities, with a focus on the social and cultural context in which mathematics is used. Search strategy of the Scopus database using the keywords ^ethnomathematics^ and ^Indonesia^ returned a total of 44 articles published between 1995 and 2022. The majority of these articles were published in the last decade, with the highest number of publications occurring in the last five years. This suggests that ethnomathematics research in Indonesia is a growing field. Overall, the bibliometric analysis suggests that ethnomathematics research in Indonesia is a growing field, with a strong focus on education and the potential benefits of incorporating indigenous mathematical knowledge into the classroom. However, further research is needed to fully understand the impact of ethnomathematics on students^ learning and engagement in Indonesia. In conclusion, bibliometric analysis can provide valuable insights into the state of a particular research field, such as ethnomathematics in Indonesia. By examining publication and citation patterns, we can gain a better understanding of the research being conducted and the impact it is having on the field. This information can be useful for researchers, policymakers, and educators in determining the direction of future research and identifying areas of potential growth in the field. Keywords: Ethnomathematics, Mathematics Education, Scopus. Share Link | Plain Format | Corresponding Author (Edi Supriyadi)

188	MATHEMATICS AND SCIENCE EDUCATIONS	ABS-133
APPLICATION OF THE PROBLEM BASED LEARNING MODEL ON SALT HYDROLYSIS MATERIALS TO IMPROVE SCIENCE PROCESS SKILLS AND METACOGNITION AWARENESS Ratman, Daud Karel Walanda, Sitti Rahmawati, Purnama Ningsih, Ismail Universitas Tadulako Abstract This study aims to determine the effect of the problem-based learning model on science process skills and metacognitive awareness. This type of research is quasi-experimental by using the Pretest-Posttest control group design. The research data was collected by using an essay test to measure science process skills and questionnaires to measure the metacognitive awareness of students on the salt hydrolysis materials. Data were analyzed descriptively with the statistic application. The science process skills of students with the problem-based learning implementation model had (M = 71.84, SD = 7.956) with an effect size value of 8.92 while the discovery learning model had (M = 72.34, SD = 7.872) with an effect size value of 8.33. Metacognition awareness of students with problem-based learning implementation model has (M = 77.03, SD = 3,961) with an effect size value of 5.56 while the discovery learning model has (M = 77.62, SD = 2.738) with an effect size value of 6.46. Research result show that: (1) the problem-based learning model affects the science process skills of students on the salt hydrolysis materials- (2) the problem-based learning model affects the metacognitive awareness of students on the salt hydrolysis materials- (3) there is a positive relationship between science process skills and metacognitive awareness of students on the salt hydrolysis materials Keywords: roblem-based learning, science process skills, metacognition awareness Share Link | Plain Format | Corresponding Author (Ratman Ratman)

189	MATHEMATICS AND SCIENCE EDUCATIONS	ABS-198
On Rectangular Food Trolley Problem Dewi Sinta- Denny Ivanal Hakim, Ph. D- Dr. Rizal Afgani Institut Teknologi Bandung Abstract In literatures, there are at least three famous problems about the movement of an object around a corner, namely the food trolley problem, the moving sofa problem, and the piano mover^s problem. In this paper, we investigate the problem of the movement of a rectangular-shaped food trolley around a corner between two corridors. This problem asks the maximum area of a rectangle that can be moved around a corner between two corridors subject to the width of each corridor and the angle of the corner. In 1998, Eriksson et al gave some partial solutions to the rectangular food trolley problem. They give an upper bound of the area of any rectangular trolley. They also consider the candidate of the size of rectangle with maximum area for right angle, obtuse angle, and acute angle of the corner between two corridors. In addition, various pushing strategies were discussed in their work. In this paper, we discuss an elementary approach to the solution of rectangular food trolley problem based on the idea of Eriksson et al. In particular, we give the more detailed explanation about the dimension of rectangle of maximum area and the movement strategies of the rectangle. Our proof uses only some elementary trigonometric formulas, congruence of triangles, and concept of translation and rotation. Our results can be viewed as an interesting example of application of high school geometry and trigonometry concept to a partial solution to an advance problem. Keywords: The Dimension of Rectangle, Rectangular Food Trolley Area, The Movement Strategies of The Rectangle Share Link | Plain Format | Corresponding Author (Dewi Sinta)

190	MATHEMATICS AND SCIENCE EDUCATIONS	ABS-205
A Note on Isoperimetric Problems in Solid Figures Andri Setiawan (a), Denny I. Hakim (b*), Oki Neswan (b) (a) Student at Magister Pengajaran Matematika, Institut Teknologi Bandung, Indonesia (b) Lecturer at Institut Teknologi Bandung, Indonesia *Corresponding Author Abstract In this paper, we explore some extension of isoperimetric problems in solid figures, focusing on oblique and right prisms with rectangular, triangular, and regular hexagonal bases. Isoperimetric problems in solid figures involve finding the shape or configuration that maximizes or minimizes a measure (volume of a solid) subject to a constraint on another measure (surface area). In the case described, the problem is to find the prism with the maximum volume given a fixed surface area. Through simple algebraic and trigonometric manipulations, we obtain proof that a right prism will provide a larger volume than an oblique prism with the same surface area. Since the area of the base is the same for both prisms, we can compare their heights to determine which one has the larger volume. For a right prism, the height is simply the distance between the base and the top of the prism. For an oblique prism, the height is the distance between the base and the top of the prism projected onto the base. This projected height will always be shorter than the actual height of the prism, so the volume of an oblique prism will always be smaller than that of a right prism with the same base area and surface area. Our result can be extended to other polygonal bases as well, not just rectangles, triangles, and hexagons. It can also be generalized to other types of solids, such as cylinders and cones. Additionally, it can be utilized as a material for the enrichment of geometry topics in math education. Keywords: Isoperimetric, Solid Figures, Isoperimetric Problems in Solid Figures Share Link | Plain Format | Corresponding Author (Andri Setiawan)

191	MATHEMATICS AND SCIENCE EDUCATIONS	ABS-210
DESIGNING AN INTERACTIVE E-WORKSHEET OF OPPORTUNITY WITH RELIGIOS MODERATION AS A CONTEXT Hadi Sandra (a*), Muhammad Win Afgani (b), Retni Paradesa (c) a) Mathematics Education, Faculty of Tarbiyah and Teacher Training, Raden Fatah Islamic State University Palembang, Prof. K. H. Zainal Abidin Fikri Street Number. KM. 3, RW. 5, Pahlawan, Kec. Kemuning, Palembang City, South Sumatra 30126, indonesia *hadisandrampa[at]gmail.com b)Mathematics Education, Faculty of Tarbiyah and Teacher Training, Raden Fatah Islamic State University Palembang, Prof. K. H. Zainal Abidin Fikri Street Number. KM. 3, RW. 5, Pahlawan, Kec. Kemuning, Palembang City, South Sumatra 30126, indonesia c)Mathematics Education, Faculty of Tarbiyah and Teacher Training, Raden Fatah Islamic State University Palembang, Prof. K. H. Zainal Abidin Fikri Street Number. KM. 3, RW. 5, Pahlawan, Kec. Kemuning, Palembang City, South Sumatra 30126, indonesia Abstract This article discusses the design of Interactive E-Worksheet using an online graphic design application, namely liveworksheet. Live worksheet is one of the teaching materials that can be accessed online which can make it easier for educators to present problems more interactively and interestingly. The material used is opportunity using the context of Religious Moderation. The purpose of this study was to determine the effect of E- Worksheet on educators and improve understanding and reasoning from the opportunity material in the live worksheet application. The research method applied was descriptive qualitative. The data collection technique is to provide an E-Worksheet measuring the understanding and reasoning skills of educators that are interesting and practical for educators and educators. The results of the study are presenting an interactive E - Worksheet can make it a practical and feasible teaching material by using a religious moderation context. Keywords: Interactive E-Worksheet- Live Worksheet- Opportunity- Religious Moderation. Share Link | Plain Format | Corresponding Author (Hadi Sandra)

192	MATHEMATICS AND SCIENCE EDUCATIONS	ABS-211
Designing an Interactive E-Worksheet of Equation System of Two Variables With Religios Moderation as a Context Eling Che Vidiya (a*), Muhammad Win Afgani (b), Retni Paradesa (c) a) Mathematics Education, Faculty of Tarbiyah and Teacher Training, Raden Fatah Islamic State University Palembang. Prof. K. H. Zainal Abidin Fikri Street Number. KM. 3, RW. 5, Pahlawan, Kec. Kemuning, Palembang City, South Sumatra 30126. *iceeling11[at]gmail.com b) Mathematics Education, Faculty of Tarbiyah and Teacher Training, Raden Fatah Islamic State University Palembang. Prof. K. H. Zainal Abidin Fikri Street Number. KM. 3, RW. 5, Pahlawan, Kec. Kemuning, Palembang City, South Sumatra 30126. c) Mathematics Education, Faculty of Tarbiyah and Teacher Training, Raden Fatah Islamic State University Palembang. Prof. K. H. Zainal Abidin Fikri Street Number. KM. 3, RW. 5, Pahlawan, Kec. Kemuning, Palembang City, South Sumatra 30126. Abstract The aims of this study is to explain how to design an Interactive E-worksheet using applications available on https://app.wizer.me/ . E-worksheet is a form of teaching material by utilizing technology and providing a form of innovation and creativity of educators that is poured into digital work that builds the quality of students. The material applied is the Two-Variable Linear Equation System using the context of Religious Moderation. The research method used is descriptive qualitative. Data collection techniques are literature studies from various sources. By collecting in-depth information through other references and previous relevant research results. The result of this study is an Interactive E-worksheet as a feasible teaching material on Two-Variable Linear Equation System with context of religious moderation. Keywords: Interactive E-worksheet- Two-Variable Linear Equation System- Religious Moderation. Share Link | Plain Format | Corresponding Author (Eling Che Vidiya)

193	MATHEMATICS AND SCIENCE EDUCATIONS	ABS-220
A Qualitative Content Analysis of the Grade 4 Learning Modules and Lesson Plan on Energy based on the Three-Dimensional Learning Model: Policy Recommendations Tri Lestari (a*), Iwan Pranoto (b), Anita Lie (c) a) Department of Physics Education, Widya Mandala Surabaya Catholic University Jl. Kalijudan 37 Surabaya, Indonesia *trilestari[at]ukwms.ac.id b) Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology Jl. Ganesha No. 10, Bandung, Indonesia c) English Language Education Study Program, Widya Mandala Surabaya Catholic University Jl. Kalijudan 37 Surabaya, Indonesia Abstract To respond to the unprecedented school closure caused by the Covid-19 pandemic, the Indonesian Ministry of Education, Culture, Research, and Technology created online learning platforms and resources, including digital modules and the Teachers Learn Teachers Share website. This study analyzed the learning modules and a sample lesson plan from the platforms based on the three-dimensional learning framework. It examined to what extent the 3-dimensional learning framework is incorporated into the Grade 4 learning modules and lesson plan on Energy. The methodology to analyze the sufficiency of disciplinary core ideas, scientific practices, and crosscutting concepts is a qualitative content analysis. Findings show that the Disciplinary Core Ideas dimension is the most sufficiently covered of all three dimensions while the Practices dimension is only partially covered as some of the points are mostly inferred, and the Crosscutting Concepts dimension still shows much room for improvement. Elementary school teachers and schools^ curriculum development units should enrich the learning modules by incorporating the STEM-based education corpus of knowledge and expanding the discussions on the module coverage with crosscutting concepts. Keywords: Three-dimensional learning model- Learning modules- Lesson plan- Science- Energy Share Link | Plain Format | Corresponding Author (Tri Lestari)

194	MATHEMATICS AND SCIENCE EDUCATIONS	ABS-226
On an Elementary Proof of The Pancake Theorem Denny I. Hakim(a)*, and Siti Mawaddah(b) a)Department of Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia b)Magister Program in Mathematics Teaching, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia *Corresponding Author: dennyivanalhakim[at]gmail.com Abstract The Pancake Theorem states that for any two bounded region on the plane, there is a line that divides these two region of equal area simultaneously. This theorem is a special case of the Ham-Sandwich Theorem for two dimensional case. The Ham-Sandwich Theorem is usually proof by the uses of the Borsuk-Ulam Theorem and it is not accessible for high school and the first-year university student. Fortunately, there is an elementary proof of the Pancake Theorem as an application of the Intermediate Value Theorem for continuous function on the closed and bounded interval. This proof can be found as an exercise in several Calculus textbooks. However, the proof of the continuity of the function in this proof is usually omitted. In this paper, we investigate several cases of the Pancake Theorem when the continuity argument in its elementary proof can be verified. We also examine an elementary proof of Pancake Theorem for special regions such as rectangle, circle, quadrilateral, regular pentagon, regular hexagon and generalization for irregular plane figure. Our result can be viewed as an example of interesting application of continuous function and high school geometry. Keywords: Application of Intermediate Value Theorem, The Pancake Theorem, Application of Continous Function, The Ham-Sandwich Theorem, The Borsuk-Ulam Theorem Proof Share Link | Plain Format | Corresponding Author (Siti Mawaddah)

195	MATHEMATICS AND SCIENCE EDUCATIONS	ABS-243
The Instrument Design for Program Learning Outcomes (PLO) Assessment at Physics Department Mulawarman University Adrianus Inu Natalisanto1), Ahmad Zarkasi1), Rahmiati Munir2), Wahidah2) and Rahmawati Munir1,*) 1) Physics Department Faculty of Mathematics and Natural Science Mulawarman University, Jl.Barong Tongkok No.4 , Kampus Gn. Kelua, Samarinda 75123, Indonesia 2) Geophysics Department Faculty of Mathematics and Natural Science Mulawarman University, Jl.Barong Tongkok No.4 , Kampus Gn. Kelua, Samarinda 75123, Indonesia *)coresponding author: rahmawati[at]fmipa.unmul.ac.id Abstract The Learning Outcome Program (PLO) which includes aspects for attitude, general skills, specific skills and knowledge are important to measure its achievement. This study aimed to design instrument for PLO assessment at Physics Department Mulawarman University. The data needed to design this instrument were student grade transcripts and PLO list of Study Program. This work included two stages. Firstly, input student data into the student matrix of a batch along the corresponding grades of course that have been passed per semester. Secondly, Generate adequacy curve, depth curve, and utility curve based on the values in the matrix. The results measurement includes the aspects of attitudes formation, general skills, specific skills and knowledge. The achievement of this aspects are at a percentage value of 87%, 80%, 80% and 60% respectively. Characteristics of PLO Fulfillment in Depth Aspect According to Curriculum Design is reflected in the percentage of achievement of High Order Thinking Skills (HOT) which is at 70%. While the PLO Fulfillment Characteristics in the Aspect of Usefulness has a percentage value of 77%. Keywords: attitude aspect, general skills, specific skills, knowledge aspects, Curriculum Design Share Link | Plain Format | Corresponding Author (Rahmawati Munir)

196	MATHEMATICS AND STATISTICS	ABS-2
(a,d)-Antimagic Ascending Subgraph Decomposition of Graphs Sigit Pancahayani, Rinovia MG Simanjuntak Institut Teknologi Bandung Abstract Let -G- be a finite graph of positive size -q- and let -n- be a positive integer with -{n+1 \choose 2} \leq q < {n+2 \choose 2}-. -G- is said to have an ascending subgraph decomposition (ASD) if -G- can be decomposed into -n- subgraphs -G_1, G_2, \ldots, G_n- without isolated vertices such that -G_i- is isomorphic to a proper subgraph of -G_{i+1}- for -1 \leq i \leq n-1-.\\ %Furthermore, -E(G_i)\cap E(G_j)=\emptyset- for -i\neq j- and -\cup_{i=1}^{n}G_i=G-. In this presentation, we introduce a new type of antimagic labeling as follow. Let -G- admits an ASD. If -f- is a bijection from -V(G)\cup E(G)- into -\{1,2,\ldots,|V(G)|+|E(G)|\}- such that for every -G_i- the weight -w_i=\sum_{v\in V(G_i)}f(v)+\sum_{e\in E(G_i)}f(e)- forms an arithmetic progression with first term -a- and common difference -d-, then -f- is called an -(a,d)--antimagic-ASD labeling. In such a case, -G- is called -(a,d)--antimagic-ASD.\\ Furthermore, we investigate some classes of -(a,d)--antimagic-ASD graphs. Keywords: ascending subgraph decomposition (ASD), antimagic labeling, -(a,d)--antimagic-ASD labeling Share Link | Plain Format | Corresponding Author (Sigit Pancahayani)

197	MATHEMATICS AND STATISTICS	ABS-4
Performance Loss of Ignoring Correlation in Binary Classification under Gaussian Model: A Numerical Perspective M. Syamsuddin Wisnubroto, Sumardi, and Nanang Susyanto Department of Mathematics, Universitas Gadjah Mada Abstract Given two or more classifiers, researchers usually assume independence between classifiers to simplify binary classification tasks. However, in fact, two classifiers are dependent because they often process the same input with a different method. In this paper, we investigate numerically the effect of ignoring dependence between classifiers when the distribution of each class is Gaussian. We compute the performance loss of assuming independence between classifiers, which is defined by the difference between the True Positive Rate of the model with dependence and the model without dependence for any fixed False Positive Rate. In particular, we emphasize analyzing the relation between the correlation of each class with the performance loss under the independence assumption. Keywords: Likelihood Ratio Dependent Classifiers Performace Loss Binary Classification Share Link | Plain Format | Corresponding Author (Nanang Susyanto)

198	MATHEMATICS AND STATISTICS	ABS-262
Seminear Module over Seminear-ring Fitriana Hasnani(a*), Meryta Febrilian Fatimah(b), Nikken Prima Puspita(c) a) Graduated student of The Magister of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada, Yogyakarta 55281, Indonesia *fitriana.hasnani[at]gmail.com b) Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Universitas Sulawesi Barat, Jl. Prof. Dr. Baharuddin Lopa, S.H, Majene 91412, Indonesia c) Mathematics Department, Faculty of Sciences and Mathematics, Universitas Diponegoro, Jl. Prof. Jacub Rais, Semarang 50275, Indonesia Abstract Let S be a semigroup. The structure of seminear modules over a seminear-ring is motivated by the properties of semigroup S and the set of natural number N with addition and left multiplication operation. In this paper, we introduced the new algebraic structure i.e., seminear modules over a seminear-ring. Seminear modules over a seminear-ring is a generalization of some algebraic structure such as modules over a ring, semimodules over a semiring, near modules over a near-ring. Moreover, we also gave some examples as the existence of our new algebraic structure. According with to in the module theory, it is shown also that the intersection of two subseminear module is a subseminear module and the sum of two sub modified seminear module is a sub modified seminear module. Keywords: module, seminear module, seminear-ring, subseminear module, left multiplication Share Link | Plain Format | Corresponding Author (Fitriana Hasnani)

199	MATHEMATICS AND STATISTICS	ABS-7
Implementation of Geographically Weighted Regression (GWR) and Mixed Geographically Weighted Regression (MGWR) in The Calculation of Indigent Population in Central Java Rahmi Novika Harahap, Achmad Fauzan Statistics Department, Faculty of Mathematics and Natural Science, Universitas Islam Indonesia Indonesia Abstract One of the provinces with the highest number of indigent people in Indonesia in 2020 is Central Java. The different characteristics of each region in Central Java Province give rise to spatial heterogeneity. The existence of spatial heterogeneity makes using multiple linear regression methods inappropriate. Therefore, the Geographically Weighted Regression (GWR) method will be used in this study. On the other hand, not all independent variables have an effect locally, but there are independent variables that have a global effect or a combination of independent variables that have a global and local effect. Mixed Geographically Weighted Regression (MGWR) is a method that generates global and local parameters. This study aims to obtain the best model from data on the number of poor people in Central Java Province in 2020 based on three different models: multiple linear regression modeling, GWR, and MGWR. The results of the MGWR analysis show that both global variables have a significant effect. At the same time, local variables with a significant effect differ in each region, and the model formed will also differ for each region. Nevertheless, the best model formed is the model with the GWR method of the fixed gaussian weighting function, which is shown from the goodness-of-fit model values, namely MAPE of 6.96, MSE of 88.74, RMSE of 9.42, AIC of -13.20, and adjusted-R2 of 97.54. Keywords: Spatial Heterogeneity, GWR, MGWR Share Link | Plain Format | Corresponding Author (Achmad Fauzan)

200	MATHEMATICS AND STATISTICS	ABS-263
Cluster Analysis of Naruna Ceramic Products Sales at Shopee Using the K-Means Clustering Algorithm Azizatur Rokhimah (a*), Abdiel Bellamy Thomas (a), Nikken Prima Puspita (a), Lucia Ratnasari (a), Siti Khabibah (a), Paulus Wisnu Anggoro (b) a) Department of Mathematics, Faculty of Science and Mathematics, Universitas Diponegoro, Jl. Prof. Jacub Rais, Semarang, 50275, Indonesia b) Department of Industrial Engineering, Faculty of Industrial Technology, Universitas Atma Jaya Yogyakarta, Jl. Babarsari No. 44, Sleman, Yogyakarta, 55281, Indonesia *azizaturrokhimah[at]gmail.com Abstract Naruna Ceramic is a company in Salatiga, Central Java, that produces and sells various kinds of products made of clay. Naruna Ceramic products are available on e-commerce platforms, one of which is Shopee. The products by Naruna Ceramic include cups, plates, cutting boards, bowls, saucers, and spoons in various shapes and colors. The many types of products produced can cause the accumulation of several products because there are too many stocks of products that are less desirable to customers. The company needs to group each product to determine which items are most desirable and less desirable by customers on Shopee. This study uses the K-Means Clustering algorithm to form sales clusters by determining 3 clusters with cluster 1 being the most desirable product, cluster 2 being the quite desirable product, and cluster 3 being the least desirable product. So with data grouping, companies can find the most desirable, quite desirable, and less desirable products on Shopee. So that it makes it easier for companies to plan product stocks and there is no stockpiling of products. Keywords: Naruna Ceramic Products- Data Mining- K-Means Clustering- Cluster Share Link | Plain Format | Corresponding Author (Azizatur Rokhimah)

201	MATHEMATICS AND STATISTICS	ABS-266
Characterization of trees with total vertex irregularity strength -t_1- Faisal Susanto (a), Rinovia Simanjuntak (a,b), Edy Tri Baskoro (a,b*) a) Combinatorial Mathematics Research Group Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung Jalan Ganesa 10 Bandung, 40132, Indonesia b) Center for Research Collaboration on Graph Theory and Combinatorics, Indonesia *ebaskoro[at]itb.ac.id Abstract For a simple graph -G(V,E)- and a positive integer -k-, a vertex irregular total -k--labeling of -G- is a mapping -\varphi:V\cup E\rightarrow\{1,2,\dots,k\}- such that -wt(x)\ne wt(y)- for any two distinct vertices -x,y\in V-, where -wt(x)=\varphi(x)+\sum_{xz\in E}\varphi(xz)-. The minimum -k- for which -G- has a vertex irregular total labeling is called the total vertex irregularity strength of -G- and it is denoted by -\mathrm{tvs}(G)-. Finding the total vertex irregularity strengths for all trees is a difficult and a challenging problem, see [2,3,4] to mention a few results on that topic. Nurdin, Baskoro, Salman and Gaos [1] conjectured that for every tree -T-, -\mathrm{tvs}(T)=\max\{t_1,t_2,t_3\}-, where -t_i=\lceil(\sum_{j=1}^in_j+1)/(i+1)\rceil- and -n_j- denotes the number of vertices of degree -j- in -T-. In this talk, we characterize all trees having the total vertex irregularity strength -t_1-, which supports the aforementioned conjecture. [1] Nurdin, E. T. Baskoro, A. N. M. Salman, N. N. Gaos, On the total vertex irregularity strength of trees, Discrete Math., 310 (2010), 3043-3048. [2] R. Simanjuntak, Susilawati, E. T. Baskoro, Total vertex irregularity strength for trees with many vertices of degree two, Electron. J. Graph Theory Appl. (EJGTA), 8 (2020), 415-421. [3] Susilawati, E. T. Baskoro, R. Simanjuntak, Total vertex irregularity strength of trees with maximum degree four, AIP Conf Proc., 1707 (2016), 020022. [4] Susilawati, E. T. Baskoro, R. Simanjuntak, Total vertex irregularity strength of trees with maximum degree five, Electron. J. Graph Theory Appl. (EJGTA), 6 (2018), 250-257. Keywords: Vertex irregular total -k--labeling- Total vertex irregularity strength- Trees Share Link | Plain Format | Corresponding Author (Faisal Susanto)

202	MATHEMATICS AND STATISTICS	ABS-269
Multinomial Logistic Regression as a Barometer of West Java People^s Level of Compliance in Implementing Health Protocols Sonny Harry Budiutomo Harmadi (a), Udjianna Sekteria Pasaribu (b*), Utriweni Mukhaiyar (b), Susi Setiyowati (b) (a) Development Studies Department, Faculty of Creative Design and Digital Business, Institut Teknologi Sepuluh Nopember (b) Statistics Research Group, Department of Mathematics, Faculty of Mathematics and Natural Science, Institut Teknologi Bandung, Indonesia *corresponding author: udjianna[at]math.itb.ac.id Abstract West Java is the largest contributor to the addition of Covid-19. This incident has changed people^s behavior, so 3M^s health protocols must become the basis of daily life. The role of academics is very important as a basis for descriptions and submissions to the government. Therefore, research was conducted using a survey method to identify changes in people^s behavior when implementing 3M in West Java. Multinomial logistic regression is used to predict the dependent variable (y) with a nominal data type given 26 independent variables (x). The goal is to understand the compliance levels of 3M. It is linked to independent variables, namely (i) self-awareness, (ii) the effectiveness of 3M implementations, (iii) the level of community compliance in implementing these protocols, and (iv) information gathered from various sources. The obtained analysis shows that if the handshake intensity is reduced, the provincial government imposes strict rules and sanctions regarding the use of masks and requires handshakes, the people of West Java will be very obedient. The multinomial logistic regression equation for the people of West Java to comply with the 3M protocol is phi (x)=(exp(6,223-3,276x_5-2,884x_14+3,459x_18-2,698x_25 ))/(1+exp(6,223-3,276x_5-2,884x_14+3,459x_18-2,698x_25)), the probability of success. Keywords: Covid-19, behavior change, health protocol, multinomial logistic regression Share Link | Plain Format | Corresponding Author (Susi Setiyowati)

203	MATHEMATICS AND STATISTICS	ABS-15
Comparison of Least Square and Penalized Least Square Methods for Estimating of Parameters in Nonparametric Regression with Fourier Series Approach Mustain Ramli (a), I Nyoman Budiantara (a*), Vita Ratnasari (a) a) Department of Statistics, Faculty of Science and Data Analytics, Institut Teknologi Sepuluh Nopember, Kampus ITS-Sukolilo, Surabaya 60111, Indonesia *i_nyoman_b[at]statistika.its.ac.id Abstract Least Square (LS) and Penalized Least Square (PLS) are the methods generally used in estimating parameters in the regression models. One of the regression models that often uses these two methods to obtain parameter estimates is the nonparametric regression model. Nonparametric regression is a regression analysis approach which assumes the regression curve is unknown and contained in a certain function space. Therefore, the nonparametric regression model can be approached with several estimator approaches, one of them is the Fourier series estimator. The Fourier series estimator is a trigonometric polynomial that has flexibility, hence can adapt effectively to the local nature of the data. Previous studies using the LS and PLS methods were limited by using one of those methods to obtain the parameter estimates in nonparametric regression model with Fourier series approach. Therefore, this study aims to use and compare the LS and PLS methods to obtain the parameter estimates in nonparametric regression with Fourier series approach and will be applied to inflation data in several cities in Indonesia during 2020. Based on the results of the analysis, the parameter estimation in nonparametric regression with Fourier series approach using the LS method only depends on the number of H oscillation parameter while the PLS method depends on the number of H oscillation parameter and Lambda smoothing parameter. To obtain the optimum number of H in the LS method can be seen by the smallest GCV(H) value in equation (11) while the optimum number of H and Lambda values in the PLS method can be seen by the smallest GCV(H,Lambda) value in equation (22). Keywords: Nonparametric Regression- Fourier Series- LS- PLS- Inflation Share Link | Plain Format | Corresponding Author (Mustain Ramli)

204	MATHEMATICS AND STATISTICS	ABS-16
Parameter Estimation and Hypothesis Testing on Bivariate Poisson Log-Normal Regression Models Fittrofin Amalia Farisa (a*), Purhadi (a), dan Achmad Choiruddin (a) a) Department of Statistics : Faculty of Science and Data Analysis, Institut Teknologi Sepuluh Nopember, Jl. Arief Rahman Hakim, Surabaya, 60111, Indonesia *fittrofin[at]gmail.com purhadi[at]statistika.its.ac.id choiruddin[at]its.ac.id Abstract The aims of this study is to introduce a bivariate Poisson Log-Normal regression model and to develop technique for parameter estimation and hypothesis testing. We term the model Bivariate Poisson Log-Normal Regression (BPLNR). The estimation procedure using an EM algorithm. However, in this case, since the expectations are not easy to obtain we may switch to a Monte Carlo EM approach. To perform hypothesis testing, we adapt the Maximum Likelihood Ratio Test (MLRT) for simultaneous testing with test statistics which, for large n, follows Chi-Square distribution with degrees of freedom p. In addition, the partial testing is derived from a central limit theorem which results in a Z-test statistic. Keywords: BPLNR, EM, MLRT, Poisson Log-Normal Share Link | Plain Format | Corresponding Author (Fittrofin Amalia Farisa)

205	MATHEMATICS AND STATISTICS	ABS-17
Parameter Estimation and Hypothesis Testing of Compound Correlated Bivariate Poisson Regression Models with Exposure Variable Syarifah Nisrina Hasna Salby (a*), Purhadi (a), Bambang Widjanarko Otok (a) a) Department of Statistics, Institut Teknologi Sepuluh Nopember *sy.nisrinahasna[at]gmail.com Abstract Compound Correlated Bivariate Poisson Regression (CCBPR) is a regression model that combines the Poisson distribution with other distributions. The CCBPR model is proposed to overcome correlated count data with overdispersion issue. In this study, CCBPR is approached by Generalized Gaussian Inverse (GIG) distribution. The aim of this study is to obtain parameter estimation and hypothesis testing by adding the exposure variable as a development of CCBPR model. The estimation procedure is conducted by Maximum Likelihood Estimation (MLE), while Maximum Likelihood Ratio Test (MLRT) is used for hypothesis testing. Keywords: CCBPR- Exposure- MLE- MLRT Share Link | Plain Format | Corresponding Author (Syarifah Nisrina Hasna Salby)

206	MATHEMATICS AND STATISTICS	ABS-274
Study of Tsunami Waves Generated by Landslide Movement on Flat Bottom G.E. Setyowisnu (a), R. Sulvianuri (a), S.R. Pudjaprasetya (a*) a) Faculty of Mathematics and Natural Science, Bandung Institute of Technology Jalan Ganesha 10, Bandung 40132, Indonesia *srpudjap[at]gmail.com Abstract Disasters like tsunamis are typically triggered by tectonic earthquakes, volcanic eruptions, or landslides. Tsunami waves can hit the coast with enormous energy, causing great damage. This study focuses on landslide-generated wave phenomena. Here, we adopt the analytical approach proposed by Jing et al. in 2020. This analytical formula can describe the free surface waves generated by landslides. Under the assumption of linearity, this solution is an analytical formula of the full governing equations for the flat bottom. Here we will simulate various types of landslide movements, and examine the resulting surface waveform. Additionally, the effect of wave dispersion on the resulting wave pattern will also be investigated. Keywords: Landslide tsunami- Dispersive wave model- Analytical solution Share Link | Plain Format | Corresponding Author (Glagah Eskacakra Setyowisnu)

207	MATHEMATICS AND STATISTICS	ABS-19
Partial Hypothesis Testing of Parameter in Spline Truncated Nonparametric Regression for Longitudinal Data Widya Amalia Rahma (a*), I Nyoman Budiantara (a), Ismaini Zain(a) a) Statistika Insititut Teknologi Sepuluh Nopember Abstract One of the very popular methods used in statistics is regression analysis which can show patterns of relationships between the response variables and the predictor variables through the regression curve. The regression curve formed can be approached by several approaches, such as parametric, nonparametric, and semiparametric regression. In fact, the formed regression curve does not always obtain a curve with a known pattern or there is not enough past information regarding data patterns so it can be approached with nonparametric regression. The nonparametric regression model that is widely used by researchers is Spline because it has very good statistical and visual interpretations. One of the spline estimator developments in nonparametric regression is to use the basis of truncated spline functions. The truncated spline function is a spline function that is cut at a knot point. Selection of the optimal knot point on the spline estimator can use the Generalized Cross Validation (GCV) method. The application of nonparametric spline truncated regression is not only for cross-sectional data but also be applied to longitudinal data because it reduces the collinearity between predictor variables so the estimates obtained are more efficient. The truncated spline nonparametric regression method which discusses hypothesis testing is limited to simultaneous testing and cross-section data. Therefore the purpose of this study is to examine partial hypothesis testing which includes the form of the hypothesis, test statistics using the Likelihood Ratio Test (LRT) and data distribution, critical area (H0 rejection area) and decision-making on partial hypothesis testing results from splice truncated nonparametric regression on longitudinal data. Keywords: Generalized Cross Validation- Likelihood Ratio Test- Longitudinal Data- Nonparametric Regression- Spline Truncated Share Link | Plain Format | Corresponding Author (Widya Amalia Rahma)

208	MATHEMATICS AND STATISTICS	ABS-21
A Bingham fluid flow through a channel filled with a Darcy-Brinkman medium(*) A.Y. Gunawan(1), A.A.F. van de Ven(2) (1) Industrial and Financial Mathematics Research Group Institut Teknologi Bandung Jln. Ganesa 10 Bandung-Indonesia (2) Department of Mathematics & Computer Sciences Eindhoven Universtiy of Technology 5600 MB Eindhoven-The Netherlands Abstract An analytical solution for a one-dimensional non-steady pressure-driven flow of a Bingham fluid in a channel filled with Darcy-Brinkman medium is derived. Two dimensionless time scales are introduced, i.e. a viscosity-related time scale and a permeability-related one. Solutions are fully determined by two dimensionless parameters, i.e. a fluid parameter and a permeability parameter. The effects of porous medium on the flow are specifically investigated. How velocity decreases with decreasing permeability of the porous medium is specified. For the start-up flow case, it evolves in time monotonously into a steady state. The time in which this state is reached is shorter for media of lower permeability. A simple hand-on formula for the total flow rate is derived and compared with the exact solution- good correspondence is found. (*) This article has already been published in J Eng Math: (2022) 137:5 Keywords: Pressure-driven flow, Bingham fluid, Darcy-Brinkman medium Share Link | Plain Format | Corresponding Author (Agus Yodi Gunawan)

209	MATHEMATICS AND STATISTICS	ABS-22
Stummel Spaces and its embeddings Artmo Dihartomo Laweangi and Hendra Gunawan Department of Mathematics, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Jl. Gannesa No 10. Bandung, Indonesia a)Corresponding author: 30121010[at]mahasiswa.itb.ac.id Abstract In this research we will study the relationship between Stummel spaces and Morrey spaces which have great importance in studying partial differential equation. It has already been known that there exist an embedding from Stummel spaces that equipped with norm p, to Morrey spaces. Generally Stummel spaces can be equipped with norm p, q. There are two main aims in this research. Firstly, is there an embedding between Stummel spaces. Secondly, how do we embed Morrey spaces to Stummel spaces. Keywords: Embedding, Stummel spaces, Morrey spaces. Share Link | Plain Format | Corresponding Author (ARTMO DIHARTOMO LAWEANGI)

210	MATHEMATICS AND STATISTICS	ABS-279
Online Method for Updating Hyper-parameter of Gaussian Process Seli Siti Sholihat (a), Sapto Wahyu Indratno(b,c*), Utriweni Mukhaiyar(b) (a) Universitas Gunadarma, Depok, Indonesia (b) Statistics Research Division, Institut Teknologi Bandung, Bandung, West Java, Indonesia (c) University Center of Excellence on Artificial Intelligence for Vision, Natural Language Processing & Big Data Analytics (U-CoE AI-VLB), Institut Teknologi Bandung, Bandung, West Java, Indonesia * sapto[at]math.itb.ac.id Abstract Abstract: Updating hyper-parameters is one of the exciting topics in the online Gaussian process for dynamic data structure. The covariance matrix size of the multivariate normal distribution in online Gaussian process increases as new data arrives. The challenge is the covariance matrix^s inversion, which gradually increases in size as the data comes. Inversion of covariance matrix in large size has high complexity. An iterative inversion of the covariance matrix solved the inversion problem and dynamic data structure. The method has less time computation and complexity rather than a direct inversion. Meanwhile, the covariance matrix in iterative inversion is defined by a fixed hyper-parameter that not suitable for dynamic data structure. The authors propose an online scheme for updating the Gaussian process^s hyper-parameters by combining the iterative covariance inversion and dynamic hyper-parameter. In dynamic hyper-parameters, the updating hyper-parameters use the maximum log-likelihood method. The online process offers an efficient and reliable method. The method is applied to the stock prices dataset. The results show that Gaussian process predictions perform well using the dynamic hyper-parameter into the iterative covariance inversion. The Root Mean Square Error (RMSE) in predicting stock prices using Gaussian process with an updated dynamic hyper-parameter is less than the RMSE using a fixed hyper-parameter (without updating). Keywords: Online Gaussian process- Updating hyper-parameter- Iterative covariance matrix inversion Share Link | Plain Format | Corresponding Author (Seli Siti Sholihat)

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