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181 ESD in Science Education ABS-442

A Framework for Climate Change Issues Based Education
Dindin Nasrudin, Roprop Latiefatul Millah, Fariz Muhammad Giftari, Abdurrohman Khotim Nugraha and Mila Faizatul Millah

UIN Sunan Gunung Djati Bandung
MIN 4 Garut


Abstract

Climate change is a global issue that requires an active response from all parties, including teachers as education promoters. Teachers have a big role in increasing students^ literacy regarding the issue of climate change. This paper wants to describe the learning framework related to the climate change issue (CCI) in science learning. This research uses documents and literature study methods and Focus Group Discussion (FGD). The results show a map of science learning integrated with the climate change issue at the secondary school level, which includes core aspects such as learning outcomes, content taught, appropriate learning approaches, and several opportunities for developing learning media as well as other supporting aspects such as the learning environment and national policies regarding climate issues. Science teachers can use this framework to introduce and improve students^ literacy regarding climate change

Keywords: Climate Change Issue, Science Literacy, Science Learning

Share Link | Plain Format | Corresponding Author (Dindin Nasrudin)


182 ESD in Science Education ABS-202

Thematic teaching with socio-scientific issues on air quality index: Does it impact on elementary school students^ reasoning skills?
Kuswanto Kuswanto1, RR Sukardi2, DT Kurniawan3, NSNB Nek Ali4

1,2,3, Primary/Early Childhood Education Study Program in Cibiru Campus, Universitas Pendidikan Indonesia, Jl. Raya Cibiru, KM 15 Kecamatan Cileunyi Kabupaten Bandung 40393.
4, Biology Education Undergraduate Program, School of Educational Studies, Universiti Sains Malaysia, 11800, Pulau Pinang Malaysia


Abstract

Abstract: Various land transportations in Indonesia mostly use fossil fuels which produce greenhouse gas emissions. This is a challenge of how to teach the content to elementary school students with a socio-scientific issue approach to the theme of water quality index. The method used was a pre-experiment with a one-group pretest-posttest design that involved twenty-five students aged 11-13 at one of the private schools in Bandung. The instrument used was questions of reasoning skills. Students^ reasoning skills are analyzed and classified based on the quality of their answers. The results showed that thematic teaching strategies with socio-scientific issues were able to improve the quality of students^ reasoning skills. Students^ answers were not only dominated by claims but also provided with data and evidence even though they were not found in large numbers. In the opinion of students, the packaging of thematic teaching through scientific issues on the theme of water quality index was able to attract their attention. This indicates that increasing reasoning skills can be improved by infusing socio-scientific issues into teaching themes.

Keywords: socio-scientific issue, elementary school students, air quality index, reasoning skills

Share Link | Plain Format | Corresponding Author (Kuswanto Kuswanto)


183 ESD in Science Education ABS-465

Implementation of STEM-Based Learning in the context of ESD in Equipping Students Problem Solving Ability
Kartika Yulianti, Ida Kaniawati

Universitas Pendidikan Indonesia


Abstract

Problem solving ability is one of the important abilities that students need to achieve in learning. This paper will describe the implementation of Science-based learning Technology Engineering and Mathematics (STEM), especially on problems that exist around students related to sustainable development systems. The stages of the learning process include identifying problems by finding facts about the causes and effects of these problems, carrying out investigations, designing solutions to problems, testing solutions, and redesigning solutions. The learning stages are described and provided with examples of the results of student studies. The results show that the students are able to solve the problems well. This exposure is expected to be an inspiration for researchers, and / or educators in the implementation of STEM-based learning.

Keywords: ESD, STEM, Problem solving

Share Link | Plain Format | Corresponding Author (Kartika Yulianti)


184 ESD in Science Education ABS-480

Integration of Sustainable Development Education Into Thematic Learning In Elementary Schools
Hana Lestari (a*), Mohammad Ali (b), Wahyu Sopandi (c), Ana Ratna Wulan (d)

(a) Study Program of Elementary Education, School of Postgraduate Studies, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi no 229, Bandung 40154, Indonesia
(b) Curriculum Development Department, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi No.229, Bandung, Jawa Barat 40154, Indonesia
(c) Chemistry Education Department, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi No.229, Bandung, Jawa Barat 40154, Indonesia
(d) Biology Education Department, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi No.229, Bandung, Jawa Barat 40154, Indonesia


Abstract

This study aims to provide an overview of the integration of sustainable development education into thematic learning in elementary schools. This study used an Explanatory Sequential Mixed Method Design. Data were collected through a survey of 279 elementary school teachers in West Java and followed by focus group discussion involving experts and teachers. The survey uses a Perception Scale and the data is analyzed using descriptive statistics and one-way ANOVA. The conclusions are: (1) ESD can be integrated into elementary school thematic learning- (2) There are 11 essential themes of ESD such as biodiversity, climate change, disaster risk reduction, cultural diversity, poverty reduction, gender quality, health promotion, sustainable lifestyle, sustainable lifestyles, prevention of water crises and sustainable urbanization and each of their elaborations into thematic learning in elementary schools- (3) There are 9 topics of thematic learning considered relevant for infusing the themes.

Keywords: ESD Implementation at elementary School- Environment, social and economic Dimension of ESD for thematic learning- Infusion of ESD-Related Themes into thematic learning in elementary schools

Share Link | Plain Format | Corresponding Author (Hana Lestari)


185 ESD in Science Education ABS-482

What is your creation to reduce pollution and global warming? Pupils^ creativity through implementation of RADEC model
Wiwin Sriwulan1, Rendi Restiana Sukardi,2, Wahyu Sopandi3, Riandi4

1 SMP Laboratorium Percontohan UPI Bumi Siliwangi, Jalan Senjayaguru No.229, Isola, Kec. Sukasari, Kota Bandung, Jawa Barat 40154
2 Primary Education Study Program in Cibiru Campus, Universitas Pendidikan Indonesia, Jl. Raya Cibiru, KM 15 Kecamatan Cileunyi Kabupaten Bandung 40393
3 Chemistry Education Department, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudhi No. 229 Bandung West Java - Indonesia
4 Biology Education Department, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudhi No. 229 Bandung West Java - Indonesia


Abstract

Pollution and global warming are two main socio-scientific issues nowadays. Because of that, those issues need to be solved through formal education such as science class. The aim of the research was to increase pupils^ creativity on environmental problems such as pollution and global warming through the implementation of RADEC learning model. The research applied one shot case study method with fifty-four participants in seventh grade school. The applied instruments were mastery concept test, pupils^ worksheet, and rubric of creativity. The mastery concept data were analysed to see the improvement before and after the science class. Pupils^ worksheet and rubric creativity were used to see the development of the creative ideas during the science class. Those data were triangulated to earn the representative results. The results showed that RADEC learning model increased pupils^ concept mastery and creativity. Pupils produced many ideas related to the solutions of pollution and global warming. Most of them dominated by posters that persuade to use alternative energies. Some of them produced water filtrations, natural fertilizers, and stovec with sun energy. Although those ideas were not produced originally but pupils were able to produce the solutions directly.

Keywords: pollution, global warming, creativity, RADEC

Share Link | Plain Format | Corresponding Author (Wiwin Sriwulan)


186 ESD in Science Education ABS-492

Analysis of ^Jakarta, The Next Atlantis^ as Socio-Scientific Issue to Implement the Value of ESD based on Junior High School Science Curriculum
Putra Habib Dhitareka (a*), Riandi (b), Rini Solihat (b)

a. School of Post-Graduates, Indonesian University of Education, Jl. Dr. Setiabudhi 229, Bandung 40154, Indonesia
*putra.habib.d[at]gmail.com
b. Biology Education, Indonesian University of Education, Jl. Dr. Setiabudhi 229, Bandung 40154, Indonesia


Abstract

Socio-scientific issue have been proven to be fruitful in teaching science in classroom for a various aspects. ^Jakarta, The Next Atlantis^ is the issue of the land subsidence of Jakarta that many expert predicted to be partially submersed at 2050. Land subsidence is an issue that have substantial science-related concept in junior high school curriculum. Furthermore, there are plenty of value in the context of ESD. This study used content analysis method to explore the potential of science concept and value of ESD in the literature. This study showed that there are eight basic competence with more than 20 sub-topic that related to the socio-scientific issue. Moreover, the issue can cover five SDGs (goal number 3, 6, 10, 12, 15) and able to stimulate all ESD key competencies into the learning. It is believed that according to this study, this issue is very potential to be implemented and integrated into learning science in the secondary level classroom.

Keywords: Education for Sustainable Development- Socio-Scientific Issue- Secondary School- Science Education

Share Link | Plain Format | Corresponding Author (Putra Habib Dhitareka)


187 ESD in Science Education ABS-255

Development of Learning Media Articulate Storyline Integrated Livestock Biogas: Needs Analysis for Integration of ESD (Education for Sustainable Development) in Science Education
Linda Kusumawati (a*), Diana Rochintaniawati (a), Riandi (b), Rini Sholihat (b)

a) Program Studi Pendidikan IPA, Universitas Pendidikan Indonesia, Jl. Dr. Setia Budhi No. 229, Bandung 40154, Indonesia
*Lindakusumawati[at]upi.edu
b) Departemen Pendidikan Biologi, Universitas Pendidikan Indonesia, Jl. Dr. Setia Budhi No. 229, Bandung 40154, Indonesia


Abstract

The educational world at the end of this decade has many changes. Technological advances and non-conventional pedagogical learning are starting to be applied. Technology and learning based on environmental issues are transformed to make learning more flexible and fostering of the value of sustainability awareness. Environmental issues can be the basis for science learning. The issue of cow dung waste pollution, which is one of the biggest contributors to the greenhouse effect in the world, be linked in the study. This study aims to explore the activities and constraints by teachers learning, to find early the sustainability awareness of students, and provide an overview of media design instructional as an alternative solution. The Research needs analysis of a descriptive qualitative, by a literature study with data collection techniques through surveys to 17 teachers and 47 students as respondents. The results questionnaire by the teacher, that learning applied uses a scientific approach with the lecture and discussion method. 94.1% of the teachers using picture media, causing a lack of enthusiasm for students. The 100% response that they needed the development of multimedia learning because 64.7% of teachers designed media independently. An Articulate storyline that can be used to support learning. 100% of teachers have never used articulate storylines, even though this media is interactive and can be opened offline or online on smartphones. Learning materials that often face obstacles are environmentally technology-friendly, 47.1% of teachers do not explain the material biogas and its relation to ESD (Education for Sustainable Development). The aspect sustainability awareness students of sustainability practice awareness was 54.9% medium category, behavioral and attitude awareness 79.1% category, and emotional awareness 83%high category. The use articulate storyline with the issue of cow dung waste needs to be developed as an alternative to ESD-based learning.

Keywords: Articulate storyline, education sustainable development, sustainability awareness

Share Link | Plain Format | Corresponding Author (Linda Kusumawati)


188 Mathematics ABS-271

On the total H-irregularity strength of corona product of a cycle and paths
M A Shulhany1*, Y Rukmayadi1, A Maharani1, A Agusutrisno1, R Rofiroh2, M F Haekal1, Y Utami1, B Lubis1, Z Syaifara1

1Faculty of Engineering, Universitas Sultan Ageng Tirtayasa, Jl. Jenderal Sudirman, KM. 3, Cilegon 42435, Banten, Indonesia
2Faculty of Engineering, Universitas Muhammadiyah Tangerang, Jl. Perintis Kemerdekaan I, No. 33, Tangerang 15118, Banten, Indonesia


Abstract

Let G be an undirected, simple, nontrivial, and finite graphs admitting an H covering. The total s labeling is called a total H irregular s labeling of G if for any pair of subgraphs have different weight. Define an H weight, denoted by omega of H, which sum of all edge and vertex labels in subgraph H under the total s labeling. The smallest positive integer s such that G has an H irregular total s labeling is the total H irregularity strength of G, denoted by ths(G,H). A (n,1) tadpole graph is a graph on n+1 vertices and denoted by Tdn. We study the ths of some graphs with Tdn covering.

Keywords:

Share Link | Plain Format | Corresponding Author (Ahmad Shulhany)


189 Mathematics ABS-272

On the modular irregularity strength of some graph classes
M A Shulhany1*, Y Rukmayadi2, A Maharani1, A Agusutrisno1, C Ahendyarti1, F Ikhsan1, N Nurhayati3, F Fardillah4, R N Ramadhan1, A V A Raissa1

1Faculty of Engineering, Universitas Sultan Ageng Tirtayasa, Jl. Jenderal Sudirman, KM. 3, Cilegon City 42435, Banten, Indonesia
2Faculty of Teacher Training and Education, Universitas Islam Negeri Sultan Maulana Hasanuddin, Jl. Jendral Sudirman No. 30, Serang City 42118, Banten, Indonesia
3Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Al Muslim, Jalan Almuslim, Bireuen 24261, Aceh, Indonesia
4Faculty of Engineering, Universitas Muhammadiyah Tangerang, Jl. Perintis Kemerdekaan I, No. 33, Tangerang 15118, Banten, Indonesia


Abstract

Let G be a simple graph of order n, with no component of order two. Define an edge l labeling . Let x in V(G), the weight of x is the sum of the l labels of all its incident edges. The edge l labeling is said modular irregular l labeling of G if there exists a bijective weight alpha function from V(G) to the group of integers modulo n. The smallest positive integer l such that G has a modular irregular l labeling is said the modular irregularity strength of G, denoted by ms(G). Write ms(G) is equal to infinity, if G has no modular irregular strength. We determine ms of some graph classes.

Keywords: graph, irregularity strength, modular irregularity strength

Share Link | Plain Format | Corresponding Author (Ahmad Shulhany)


190 Mathematics ABS-549

MODELING THE POTENTIAL OF DEMAND FOR DESIGN CIKEMBAR AIRPORT TERMINAL CAPACITY, SUKABUMI, JAWA BARAT, INDONESIA
Agung Setiawan, Juang Akbardin, Asep Yudi Permana

Arsitektur S-2 FPTK Universitas Pendidikan Indonesia


Abstract

West Java Province is challenged by a very unique and strategic geographic field as a province with the largest population in Indonesia and as a province that is at the forefront of supporting the dynamics of rapid development in the capital, DKI Jakarta. In realizing equitable development, as stated in the West Java Provincial Medium-Term Development Plan (RPJMD) 2018-2023, infrastructure development is regulated in a priority scheme that aims to bring equitable development. One of the planned transportation infrastructure developments in the construction of Cikembar Airport, Sukabumi, is prepared to serve the development area (WP) of the Sukabumi area and its surroundings which is targeted for completion in 2023. In preparing the airport design, a projection analysis based on demand is needed first. which correlates with statistical data. Forecasting analysis (forecasting) the number of passengers at Cikembar Airport aims to obtain potential passenger demand and a description of the needs for terminal facilities through the collection of statistical data to be analyzed using the correlation method and the multiple linear regression method between the number of passengers as the dependent variable. Meanwhile, statistical variables such as population growth, tourist growth, and Gross Regional Domestic Product (GRDP), Sukabumi, and West Java Regencies were determined as independent variables. In formulating the terminal room facilities, it refers to the standards issued by the Directorate General of Civil Aviation through SKEP No.77 / VI Year 2005. Considering the moderate upward trend approach, the estimated number of passengers at Cikembar Airport passenger terminal in 2023, namely the year the airport is planned to be realized, is as much as 756,029 passengers with busy time passengers totaling 605 passengers. The operational area needed for the terminal in that year was 8,468 m2. Assuming the concession area provided is 30%, the total terminal area required i

Keywords: Analysis of Potential Demand, Space Requirements, Airport Terminals, tourist growth

Share Link | Plain Format | Corresponding Author (Agung Setiawan)


191 Mathematics ABS-567

Modeling Simulation of COVID-19 Spreading at Schools and Workplaces
Seprianus(a), Nuning Nuraini(a), Suhadi W. Saputro(a)

1Fakultas Matematika dan Ilmu Pengetahuan Alam, Institut Teknologi Bandung
Jalan Ganesha 10, Bandung 40132, Indonesia


Abstract

The COVID-19 pandemic has created a widespread global shock and slowdown in all sectors worldwide. Especially in education and work, the pandemic has caused drastic and massive changes. Almost all schools and universities do online learning. Almost workplaces apply work from home. However, many surveys tell us that online learning is not effective enough in learning process and work from home can reduces productivity. Therefore, in this research, we propose a simple mathematical model to determine how many students or employees are allowed to come to school or office everyday so that infection case number does not increase in next 100 days. We use a discrete SIR model on a dynamic random network constructed by independent and random moves from students and employees in an area of 100 square meters for 8 hours. By taking certain values for epidemiology parameters, we obtain numerically that maximum number of individuals allowed to come to schools and offices for 8 hours each day within 100 days so that the number of infection cases does not increase is only 11 people.

Keywords: network epidemic, COVID-19, mathematical modeling

Share Link | Plain Format | Corresponding Author (seprianus seprianus)


192 Mathematics ABS-347

The Application of Composite Model in Fire Insurance Loss Data Modeling: A Case Study of Reinsurance Company
Iqbal Hediananda Putra (a*), Siti Nurrohmah (b)

a) Faculty of Economics and Business, Universitas Indonesia
Depok, Indonesia
*iqbal.hediananda[at]sci.ui.ac.id
b) Faculty of Mathematics and Natural Sciences, Universitas Indonesia
Depok, Indonesia


Abstract

The loss model is important in insurance industry. The loss model should adequately represent underlying insurance risk. One of the commonly used loss models is the collective risk model. The collective risk model is based on frequency and severity distribution. The use of single distribution to model severity distribution often cannot represent both head and tail area of empirical data. One of solutions is by using different distribution on head and tail area referred as composite model. This paper aims to create a set of composite models- to estimate composite models parameters, and to compare the goodness of fit of composite models and single distribution-based models. The composite models are based on transformed beta family distribution and fire insurance loss data from one Reinsurance Company in Indonesia.

Keywords: insurance- loss model- composite model- transformed beta family distribution

Share Link | Plain Format | Corresponding Author (Iqbal Hediananda Putra)


193 Mathematics ABS-358

ANALYSIS OF CREDIT CARD GROUP LIFE INSURANCE PREMIUM PRICE USING LOSS RATIO METHOD AND BLENDED RATING METHOD
Albert Budy (a*), Lenny Suardi (b)

a) Faculty of Economics, Trisakti University, Jakarta, Indonesia
*albert.budy[at]ui.ac.id
b) Faculty of mathematics and science, Bandung Institute of Technology, Bandung, Indonesia


Abstract

Credit card life insurance in banking is included in the group insurance category. This study aims to estimate the calculation of advanced credit card insurance premiums. In calculating group insurance premiums, the experience rating method can be used to determine the number of claims that have occurred in the past. The method can also be used as the basis for calculating premiums in subsequent periods. The Loss Ratio method is one of the most frequently used experience rating methods. The method compares the number of losses/claims that occur with the premiums received by the insurance company. In calculating the expected claim cost rate of group insurance, an actuary can also use the blended rating method, which is a plan for determining premiums based on a manual rating that is adjusted to the experience rating. The sample of the study was credit card debtors from a private bank in Indonesia with an observation period between 2016 - 2019. The results showed that the estimated amount of continued premium from the previous 0.4% decreased to 0.25% - 0.26% based on the loss ratio method and to 0.22% - 0.31% based on the blended rating method.

Keywords: Loss Ratio- Permissible Loss Ratio- Loss Development Triangle- Credibility Factor- Rate Change Factor

Share Link | Plain Format | Corresponding Author (Albert Budy)


194 Mathematics ABS-368

GROUPING ROA (RETURN ON ASSETS) OF FINANCE AND INVESTMENT COMPANIES IN INDONESIA WITH THE FINITE MIXTURE SKEW-T MODEL
Angga Setiyowati (1*), Irwan Susanto (2), & Sri Subanti (3)

1) Program Studi Statistika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Sebelas Maret
Jl. Ir Sutami No.36 A, Surakarta, Jawa Tengah, 57126, Indonesia
Email : angga.setiyowati[at]gmail.com
2) Program Studi Statistika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Sebelas Maret
Jl. Ir Sutami No.36 A, Surakarta, Jawa Tengah, 57126, Indonesia
Email : irwansusanto[at]staff.uns.ac.id
3) Program Studi Statistika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Sebelas Maret
Jl. Ir Sutami No.36 A, Surakarta, Jawa Tengah, 57126, Indonesia
Email : sri_subanti[at]yahoo.co.id


Abstract

At the end of 2019, economic development in Indonesia experienced a slowdown from the previous year. One of the causes is the decline in investment and weakening financial conditions. Financial data is not always normally distributed. Often some financial data are skewed and heavy-tailed, such as ROA (Return On Assets) data on investment and finance companies. The ROA value can be positive or negative. It makes ROA had a multimodal data pattern, indicated by histogram ROA data which has several peaks and non-fulfillment of the unimodal pattern significance test. One of the data grouping methods for multimodal data patterns is finite mixture modeling. Grouping with the finite mixture model is base on the representation of the probability distribution function applicable to continuous or discrete data. In this paper, the finite mixture model is used to model the ROA (Return On Assets) value data of finance and investment companies in Indonesia in the 4th quarter of 2019. Estimation parameters of the finite mixture model using calculations with the EM (Expectation-Maximization) algorithm. Ensured that the finite mixture model is suitable, performed a significance test using bootstrap likelihood ratio statistics. The best number of clusters is determined based on the minimum Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC) values. Based on the analysis, the suitable model for modeling the ROA (Return on Assets) value data of financial and investment companies in Indonesia in the 4th quarter of 2019 is the Skew-t finite mix model with two components.

Keywords: Mixture Model, EM Algorithm, Skew T, ROA, Finance, Investment

Share Link | Plain Format | Corresponding Author (Angga Setiyowati)


195 Mathematics ABS-376

Estimating IBNR (Incurred But Not Reported) Reserves Using Bornhuetter-Ferguson and Cape Cod Method : A Case Study of Life Insurance Company
Anita Zahra Asdianti (a*), Lenny Suardi (b)

a. Faculty of Economics and Business, University of Indonesia
Jl. Salemba Raya No.4, Jakarta 10430

b. Faculty of Math and Science
Jalan Prof. Dr. Sudjono D Pusponegoro, Kampus UI Depok


Abstract

An insurance company needs to estimate its claim reserve carefully in order to anticipate the fluctuation of claims in the future. An Incurred But Not Reported (IBNR) reserve is a part of the claim reserve that estimates the claim value that has occurred but reported in the next period. IBNR reserve must be prepared by the insurance company. This paper aims to apply two methods in estimating the IBNR reserve, which are Bornhuetter-Ferguson, that was proposed by Bornhuetter and Pearl Ferguson and Cape Cod method that was proposed by Buhlman and Straub. These two methods are considered as the best practice and well-established method. In this paper, we also compare the performance of these two methods and evaluate the result so that the insurance company obtains a more accurate estimation of claim reserve. We use a short period of observation from newly established company. A monthly data of claims within the period 2018 to 2020 is used to obtain the empirical result of the study. The study found that IBNR claim reserves estimation with Bornhuetter-Ferguson method has closer value to the actual claim rather than the Cape Cod method. This can be concluded that Bornhuetter-Ferguson Method performs well for a claim with a short period of observation.

Keywords: Claim Reserve, IBNR Reserve, Bornhuetter-Ferguson Method, Cape Cod Method

Share Link | Plain Format | Corresponding Author (Anita Zahra Asdianti)


196 Mathematics ABS-139

Minimum Sample Size and Optimum Depth Difference Study based on Time Series Analysis of Gamma-Ray Log Data
Yundari, Ryan Jonathan, Udjianna S Pasaribu, Utriweni Mukhaiyar, Mohamad N Heriawan

Universitas Tanjungpura Pontianak


Abstract

Minimum sample size selection is one of the issues that need to be studied in statistical sciences. This affects the results of the estimation model based on observation data. However, the minimum sample size depends on the data and issues examined. In this paper, the data used Gamma-ray well logging using the ARIMA time series model. This is one of novelty in the application of time-series data. The purpose of modeling is also back-casting using time parameters index such as depth. So it is necessary to study the optimum determination of depth difference to produce good stochastic models. The simulation results of some depth showed that different minimum depths of 0.2 m with a sample of more than 450 is the best result for modeling the time series data especially Gamma-ray log data.

Keywords: Minimum sample, ARIMA Model, time-series model, well logging data

Share Link | Plain Format | Corresponding Author (Yundari Yundari)


197 Mathematics ABS-149

Mixture Estimators of Spline Truncated, Kernel, and Fourier Series in Biresponse Nonparametric Regression
Patrica Pungky Gabrela (a), Jerry Dwi Trijoyo Purnomo (b*), I Nyoman Budiantara (b)

a) Master Program of Statistics Departement, Sepuluh Nopember Institute of Technology, Sukolilo, Surabaya, Indonesia
b) Statistics Departement, Sepuluh Nopember Institute of Technology, Sukolilo, Surabaya, Indonesia
*jerry[at]statistika.its.ac.id


Abstract

The general regression model is divided into three forms, namely parametric, nonparametric, and semiparametric model. Regression is a method used to analyze the relationship between response variables and predictor variables. The shape of the regression model depends on the regression curve. Nonparametric regression has become a concern of many researchers because it can determine the relationship between the predictor variable and the response variable which has an unknown regression curve. Nonparametric regression is very flexible so that the model can follow linear or nonlinear functions. Several nonparametric regression approaches that are often used are Spline Truncated, Kernel, and Fourier Series. Until now, many studies related to nonparametric regression have been carried out, either with a single estimator or a mixed estimator. So far, research with mixed estimators mostly uses only two estimators. There have not been many studies related to nonparametric regression models involving 3 mixed estimators. Therefore, the purpose of this study is to find a mixture estimator of Spline Truncated, Kernel, and Fourier Series in the biresponse nonparametric regression using the WLS method. The results show that the WLS estimation produces a Spline Truncated estimator, Kernel estimator, Fourier Series estimator, and also a mixture of the 3 estimators.

Keywords: Biresponse Nonparametric Regression- Fourier Series- Kernel- Spline Truncated

Share Link | Plain Format | Corresponding Author (Patrica Pungky Gabrela)


198 Mathematics ABS-436

Application of Orbits Mode Data Fitting for Dipstick Calibration
Jovian Dian Pratama (a*), A. Nafis Haikal (b), Ratna Herdiana (c), Susilo Hariyanto (d)

a) Departement of Mathematics, Diponegoro University
Jalan Prof. Sudarto No.13, Kota Semarang 50275, Indonesia
*joviandianpratama[at]yahoo.com
b) Departement of Mathematics, Diponegoro University
Jalan Prof. Sudarto No.13, Kota Semarang 50275, Indonesia
c) Departement of Mathematics, Diponegoro University
Jalan Prof. Sudarto No.13, Kota Semarang 50275, Indonesia
d) Departement of Mathematics, Diponegoro University
Jalan Prof. Sudarto No.13, Kota Semarang 50275, Indonesia


Abstract

This article discusses the application of the Orbits Mode Data Fitting for dipstick calibration, the dipstick is a measuring tool for the level of fuel oil in the underground tank which is then converted into volume in the underground tank. This research was conducted at the General Fuel Filling Station 45.507.21 Candirejo Tuntang using data from the local metrology agency which legal the conversion of height to volume of liquid in the tank. This study also discusses the simplicity of the Orbits Mode Data Fitting algorithm in approaching data with a semicircular or half elliptical distribution. The results of this reserach, analyzed the sensitivity to the thickness and number of points used for fitting data as a form of calculation simplicity test, using Orbits Mode Data Fitting does not have to use all existing data to obtain fitting data results that have small errors.

Keywords: Orbits Mode- Data Fitting- Calibration- Underground Tank- Dipstick

Share Link | Plain Format | Corresponding Author (Jovian Dian Pratama)


199 Mathematics ABS-453

Odd harmonious labeling of amalgamation of star graph
E Asumpta(1), Purwanto(1*), T D Chandra(1*)

(1)Departemen Matematika, Universitas Negeri Malang, Jalan Semarang 5, Malang 65145, Indonesia
*purwanto.fmipa[at]um.ac.id, tdanielchandra[at]gmail.com


Abstract

An assignment of integers to vertices or edges of a graph subject to certain conditions is called graph labeling. One of the various of graph labeling is an odd harmonious labeling. Let G be a graph having q edges. An odd harmonious labeling of G is an injective function f from the set of vertices of G to the set {0,1,2,,...,2q - 1} such that the induced function f^*, where f^* (uv) = f(u) + f(v) for every edge uv of G, is a bijection from the set of edges of G to {1,3,5,...,2q - 1}. If a such labeling exists, then G is said to be odd harmonious. In this paper we show that the amalgamation graphs S(C_4,n,r) is odd harmonious.

Keywords: odd harmonious, amalgamation, star graph

Share Link | Plain Format | Corresponding Author (Emiliana Asumpta)


200 Mathematics ABS-238

A Modified of The Generalized Fuzzy Logical Relationship Method With High Order Fuzzy Time Series Based on Frequency Density Partition
Nina Munazilla (a*), Farikhin (b), Sunarsih (b)

a) Faculty of Science and Mathematics, Diponegoro University
Jl. Prof. Soedarto, SH, Tembalang Semarang - 50275, Jawa Tengah, Indonesia
*fsm[at]undip.ac.id


Abstract

One of step in fuzzy time series for forecasting is to build fuzzy logic relationship. Many investigators have generalized a fuzzy logic relationship. Algorithms, computational methods and grouping the Fuzzy Logical Relationship (FLR) are three methods based on advanced to build a high order fuzzy time series models. The last kind model is used to determine the forecasting decisions. To improve the fuzzy time series of the approximate model, this paper presents a high-order fuzzy time series model denoted as GTS(M.N) based on the basis of generalization fuzzy logical relationship by proposing improvements of universe of discourse, historical data variations, partition stages and weighting stages. The first, define the universe of discourse, then by using historical data variations obtained the number of intervals. Second, the primary interval is partitioned based on frequency density into several sub-intervals. Third, perform different weightings on FLR to calculate the final forecasting value. The proposed model will be implemented in time series data of coffee production in 2000-2019. Based on these our experiment we have the resulted errors value is better the existing method.

Keywords: Fuzzy sets, Fuzzy time series, Frequency density, Partitioning

Share Link | Plain Format | Corresponding Author (Nina Munazilla)


201 Mathematics ABS-244

Mathematical Analysis of the Nitrogen and Phosphate to Phytoplankton, Macrobenthos, and Sediment in Aquaculture System
Tri Yastuti Laksanahati(a*), Widowati(a), Sapto Purnomo Putro(b)

(a)Departement of Mathematics, Faculty of Science and Mathematics, Diponegoro University, Jl. Prof Soedarto SH, Semarang 50275, Central Java, Indonesia
*laksanahati21[at]gmail.com
(b)Departement of Biology, Faculty of Science and Mathematics, Diponegoro University, Jl. Prof Soedarto SH, Semarang 50275, Central Java, Indonesia


Abstract

In aquaculture system, metabolic waste in the form of unfeed pellets and fish excretion can reduce water quality and increase both soluble organic matter in waters and organic deposition to sediments. A developed dynamical system was formed based on the interactions that occur between phytoplankton growth, macrobenthos density, and sediment in response to nitrogen and phosphate concentrations. The purpose of this research was to analize the stability of the proposed dynamical system. Furthermore, we determine the level of water quality in the aquaculture system based on the interaction between five variables, i.e. nitrogen, phosphate, abundance of phytoplankton, abundance of macrobenthos, and sediment properties. The local stability of the system equations model was determined by investigating the eigen values of the Jacobian matrix. The Lyapunov stability theory using the Krasovskii method was used to determine the global stability of the systems. In the Lyapunov method, if the value of the scalar function is definite positive and its first derivative is definite negative, then the system is globally asymptotically stable. Based on mathematical analysis and numerical results, the aquaculture dynamic system model in Jepara was globally asymptotically stable. This indicated that the quality of the waters was still considerably in normal condition.

Keywords: Aquaculture dynamical system- Equilibrium- Stability- Lyapunov- Krasovskii

Share Link | Plain Format | Corresponding Author (Tri Yastuti Laksanahati)


202 Mathematics Education ABS-256

Self-Efficacy among Junior High School Students of DKI Jakarta in The Context of Distance Learning Environment
Agustine Dwi Kurniawati Pamarna (a*), Dadang Juandi (a)

a) Department of Mathematics Education, Universitas Pendidikan Indonesia, Jalan Dr. Setia Budhi No. 229, Bandung 40154, Indonesia
*agustinedwi[at]upi.edu


Abstract

The purpose of this research was to investigate self-efficacy of students in the distance learning mathematics classroom. The data were collected through an online questionnaire survey. The survey of self-efficacy was based on three dimensions according to Bandura, which is magnitude, strength, and generality. The statistical population of this study was junior high school students in DKI Jakarta. Simple random sampling technique was used in this research and 105 students were drawn as the sample of this research. The collected data was analysed using descriptive data analysis to describe the level of self-efficacy students based on each dimension. Based on the three dimensions of self-efficacy, each of them is at a moderate level. However, the dimensions of strength and generality need to be further improved.

Keywords: Self-Efficacy- Distance Learning- Survey Research

Share Link | Plain Format | Corresponding Author (Agustine Dwi Kurniawati Pamarna)


203 Mathematics Education ABS-2

Improving Students^ Mathematical Problem-Solving Ability Using Differentiated Instruction Approcah
Ade Evi Fatimah (a), Muhammad Daut Siagian (b*), Suwanto (c), Fitry Wahyuni (d), Azrina Purba (e)

(a) Informatics and Computer Engineering Education Study Program, STKIP Al-Maksum Langkat, Jl. Sei Batang Serangan, Kwala Bingai, Kec. Stabat, Kabupaten Langkat, Sumatera Utara 20811, Indonesia
(b) Mathematics Education Study Program, Universitas Islam Sumatera Utara, Jl. Sisingamangaraja, Teladan-Medan, Sumatera Utara 20217, Indonesia
mdsiagian[at]fkip.uisu.ac.id
(c) Mathematics Education Study Program, STKIP Asy-Syafi^iyah Internasional Medan, Jl. Karya Tani No. 1, Pangkalan Masyhur, Kec. Medan Johor, Kota Medan, Sumatera Utara 20146, Indonesia
(d) Company Management Study Program, Akademi Perniagaan dan Perusahaan APIPSU Medan, Jalan Rasmi No. 28 Medan, Sumatera Utara 20123, Indonesia
(e) Natural Science Education Study Program, STKIP Al-Maksum Langkat, Jl. Sei Batang Serangan, Kwala Bingai, Kec. Stabat, Kabupaten Langkat, Sumatera Utara 20811, Indonesia


Abstract

Problem-solving skills are very important in mathematics, not only for those who will study mathematics in the future but also for those who will apply it in other fields of study and in everyday life because in the learning process and its solution, students may gain experience using knowledge and skills that are already owned to be applied to solving problems that are not routine. This study aims to analyze and describe students^ mathematical problem-solving abilities through the application of the differentiated instruction approach. This study is quantitative research with a quasi-experimental method. This study was conducted at one of the vocational high schools in Deli Serdang Regency, North Sumatra to grade 10 students, which consisted of two classes, namely the control class and the experimental class. Purpose-specific sampling techniques are used to collect data. Data collection was done by giving tests. Data analysis was performed using a two-way ANOVA test. The results of this study indicate that the increase in mathematical problem-solving abilities of students who receive learning with the Differentiated Instruction approach is better than students who receive direct learning.

Keywords: Mathematical Problem-Solving- Differentiated Instruction- Direct Learning

Share Link | Plain Format | Corresponding Author (Ade Evi Fatimah)


204 Mathematics Education ABS-3

The Effectiveness of Worksheets Based on The Scientific Approach in Improving Critical Thinking Skills
Rosliana Siregar (a), Muhammad Daut Siagian (a*), Tuti Hardianti (b), Lisa Ariyanti Pohan (c), Suwanto (d)

(a) Program Studi Pendidikan Matematika, Universitas Islam Sumatera Utara, Jl. Sisingamangaraja, Teladan-Medan, Sumatera Utara 20217, Indonesia
mdsiagian[at]fkip.uisu.ac.id
(b) Program Studi Pendidikan Fisika, Universitas Islam Sumatera Utara, Jl. Sisingamangaraja, Teladan-Medan, Sumatera Utara 20217, Indonesia
(c) Program Studi Pendidikan Kimia, Universitas Islam Sumatera Utara, Jl. Sisingamangaraja, Teladan-Medan, Sumatera Utara 20217, Indonesia
(d) Program Studi Pendidikan Matematika, STKIP Asy-Syafi^iyah Internasional Medan, Jl. Karya Tani No. 1, Pangkalan Masyhur, Kec. Medan Johor, Kota Medan, Sumatera Utara 20146, Indonesia


Abstract

A scientific approach is a learning approach that uses scientific steps as a reference for learning. The scientific approach aims to improve intellectual abilities, especially students^ high-level critical thinking skills. This study aims to describe the effectiveness of worksheets based on a scientific approach in improving students^ critical thinking skills. The method used in this study is research and development using the 4D model. This paper discusses the develop stage. The subjects in this study were 10th-grade students at a private high school in Medan. While the object in this study is the students^ critical thinking skills. Data collection was carried out by giving tests, questionnaires, and observations. The instruments used were tests and questionnaire sheets. Based on the results of the study, it was found that the worksheets based on the scientific approach developed had the effectiveness category in terms of (1) classical student learning completeness- and (2) student responses.

Keywords: Scientific Approach- Critical Thinking- Effectiveness

Share Link | Plain Format | Corresponding Author (Rosliana Siregar)


205 Mathematics Education ABS-515

Algebraic Reasoning of High School Students in Mathematical Problem Solving on Cognitive Stage
A Y Fitrianna, D Suryadi, and S Prabawanto

Universitas Pendidikan Indonesia


Abstract

This study aimed to describe the characteristics of high school students^ algebraic reasoning process with different cognitive stages in solving mathematical problems. A total of 37 students were given the Longeot test to classify students into the cognitive stage. Based on the answers given by students in the Longeot test, as many as 41% of students were still in the concrete stage, and as many as 59% of students were in the formal stage. At each cognitive stage, one student is taken randomly to be given an algebraic reasoning test on the algebraic function limit material. The results showed that students in the concrete stage can only reach level 3, while students in the formal stage can reach level 4, but both have not been able to solve the problem correctly.

Keywords: Algebraic Reasoning- Problem Solving- Cognitive Stage

Share Link | Plain Format | Corresponding Author (Aflich Yusnita Fitrianna)


206 Mathematics Education ABS-6

ANALYSIS OF STUDENT MATHEMATIC COMMUNICATION ABILITY IN THREE DIMENSIONAL MATERIALS
Dodi Efriyadi dan Caswita

Department of Mathematics Education, Postgraduate, University of Lampung, Jl. Prof. Dr. Ir. Sumantri Brojonegoro, Kec. Rajabasa, Bandar Lampung City, Lampung 35141, Indonesia
efriyadi09[at]gmail.com- wcaswita[at]gmail.com


Abstract

This article aims to analyze students mathematical communication skills in three-dimensional material. The research was conducted with a qualitative approach with a case study method. The subjects of this study were five high school students majoring in Science. Data on students mathematical communication skills useed tests and interviews. The results showed that students mathematical communication verbally was good at explaining answers clearly and systematically from written answers, but students written mathematical communication was still lacking in describing problem situations and stating problem solutions using images and presenting algebraic solutions correctly and explain ideas, situations and mathematical relations in writing.

Keywords: mathematical communication skills

Share Link | Plain Format | Corresponding Author (Dodi Efriyadi)


207 Mathematics Education ABS-7

Dealing with spatial autocorrelation in Indonesia marine fisheries catch production model: a spatial filtering with eigenvector approach
Evellin Dewi Lusiana(a,b*), Henny Pramoedyo (c)

a) Doctoral Student of Mathematics Program, Faculty of Mathematics and Natural Sciences, Universitas Brawijaya, Malang 65145, Indonesia
*evellinlusiana[at]ub.ac.id
b) Department of Aquatic Resource Management, Faculty of Fisheries and Marine Science, Universitas Brawijaya, Malang 65145, Indonesia
c) Department of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Brawijaya, Malang 65145, Indonesia


Abstract

Indonesia is an archipelago country whereas 70% of its region consists of water. Therefore, the fisheries sector has great potency to support the economic growth of the country. Moreover, capture fisheries contributed as the main export commodities in Indonesia. Each province in Indonesia has its own marine area, thus the marine fisheries capture production is available in province-level data. The total production of marine fisheries capture is highly affected by its production factors such as the number of fisheries households and ships. This relationship can be modeled using a simple model like linear regression. However, since the data is considered for having spatial connectivity, then the linear regression model will suffer spatially autocorrelated residuals which violent the model assumption. The goal of this research was to deal with spatial autocorrelation in linear regression to improve the inference and validity of the model by using spatial filtering with the eigenvector (SFE) approach. The results showed that the linear regression model with eigenvector variable addition has no significant spatial autocorrelation and no heteroscedasticity.

Keywords: Heteroscedasticity- Ordinary Least Square- residual diagnostics- spatial weight matrix- Spatial filtering-

Share Link | Plain Format | Corresponding Author (Evellin Dewi Lusiana)


208 Mathematics Education ABS-519

Error Analysis on the Concept of Composition of Function in Online Learning from the Perspective of AVAE Categories (ARITH, VAR, AE, and EQS)
Nadia Ulfa (a*), Al Jupri (b), Dadang Juandi (c)

Mathematics Education Department, Indonesia University of Education
Jl. Dr. Setiabudi No. 229, Bandung 40154, Indonesia
*nadiaulfa[at]upi.edu


Abstract

Algebra is known as a concept that is not only difficult to learn but also difficult to teach properly. Moreover, during this pandemic, learning is carried out online where many studies stated that online learning is not as effective as direct learning (face-to-face). The composition of function is one of the concepts in algebra where errors are often found. This study aims to analyze student errors on the concept of composition of functions in online learning from the perspective of AVAE categories (ARITH, VAR, AE, and EQS). To identify these errors, the researcher used qualitative research method in which the data collection was taken by giving written assignments to 25 high school grade X students at one of the high schools in Sumedang. Some of the errors that were found in this study include errors in using distributive properties in algebraic forms (ARITH), students limitations in mastering the various roles of literal symbols (VAR), students not being able to decipher the order in algebraic expressions that must be processed (AE), and students make mistakes because they ignore the form of equality in algebra (EQS). These errors that were found in this study can be used as a reference to identify more about learning obstacles that are felt by students which cause students to make errors.

Keywords: AVAE Category- Composition of Function- Errors- Online Learning.

Share Link | Plain Format | Corresponding Author (Nadia Ulfa)


209 Mathematics Education ABS-8

Developing Android Games-Based Mathematics Instructional Media on One Variable Linear Equation Material
Riswan Mahyudi, Abd. Qohar

Universitas Negeri Malang


Abstract

This study aimed at developing mathematics instructional media based on android games on the material of one variable linear equation. The media developed were in the form of media for strengthening material. This research used research and development (R & D) method. The research procedure consisted of 4 stages, namely 1) collecting information stage, 2) planning stage, 3) developing product stage, 4) validation and trial stage. The expediency of the developed media was determined based on validity and practicality through peer teaching at State University of Malang. Research and development of android-based instructional media on the material of one variable linear equation that had been tested produced a valid and practical instructional media with a validity score of 3.00, learning activities practicality score of 3.10, and practicality score of instructional media use of 3.33. Thus, the media were proper to be used in learning.

Keywords: Android game- mathematics instructional media- one variable linear equation

Share Link | Plain Format | Corresponding Author (Abd Qohar)


210 Mathematics Education ABS-265

Effects of Blended Learning on Students Mathematical Problem-Solving Skills: A Meta-Analysis
Muh. Fachri B. Paloloang (a*), Dadang Juandi (b), Jarnawi Afgani Dahlan (c)

Mathematics Education, Graduate School, Universitas Pendidikan Indonesia, Bandung


Abstract

Many studies on students mathematical problem-solving skills (MPSS) have been influenced by using the blended learning (BL) model in Indonesia to date, and several reports have shown inconsistent results. Meanwhile, education policymakers need accurate and precise descriptions and information about it. To summarize, estimate, and evaluate the overall effect of using the BL model on students MPSS, a meta-analysis was used. Data obtained from primary studies that have been published in national journals during 2014-2021. The effect size index uses the Hedges g formula, and statistical analysis is assisted by comprehensive meta-analysis (CMA) software. Testing effect size variations were carried out by analyzing the five characteristics of the study, namely the year of study, level of education, sample size, sampling technique, and the research method used. Based on the analysis, the overall effect size (g) was 1.075 according to the random-effects model. The effect size is large, meaning that the use of BL has a high positive effect on students MPSS. In addition, the characteristics of educational attainment significantly lead to heterogeneous effect size data. Thus, these results recommend that Indonesian mathematics lecturers and teachers choose BL as an alternative solution to improve students MPSS.

Keywords: Blended Learning- Mathematical Problem-Solving Skills- Meta-Analysis

Share Link | Plain Format | Corresponding Author (Muhammad Fachri B. Paloloang)


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