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Abstract Topic: Mathematics

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Structure Sense Mathematics with Construct 2 and Sticky Notes
H Sugilar 1*, R Kariadinata 1, N Sobarningsih 1, RD Agustina2

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Corresponding Author
Hamdan Sugilar

Institutions
1 Department Mathematics of Education, UIN Sunan Gunung Djati Bandung
2 Department Physics of Education, UIN Sunan Gunung Djati Bandung

* hamdansugilar[at]uinsgd.ac.id

Abstract
The purpose of this study was to determine the ability of the mathematical structure sense and attitudes of students through learning with construct 2 and sticky notes. The design of this study was Quasi Experimental with a nonequivalent control group design model, the research subject of The first semester biology of education students who were studying elementary mathematics. The results showed that the low ability of students mathematical structure sense was caused by several factors including the low response of elementary mathematics learning students 43.24%, low ability of student symbol sense of students are 51, 64%, construct 2 needs to be developed to respond to students who have basic math learning difficulties 63.21%, and 74.56% of students state that sticky notes are easier to apply, understandable and more practical. The ability of the structure is influenced by the learning model and the media used

Keywords
Structure sense mathematics, instructional Media

Topic
Mathematics

Link: https://ifory.id/abstract/FGvgHa3jyRY4


Study of Stability for Some Simple Epidemic Models
Arrival Rince Putri1 (a*), Riri Lestari (b)

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Corresponding Author
Arrival Rince Putri

Institutions
a,b) Department of Mathematics, Andalas University, Kampus Unand Limau Manis, Padang, 25163, Indonesia
*arrivalputri[at]gmail.com

Abstract
The Susceptible Infected and Removed (SIR) model is extended by considering three treatments, without vaccination, vaccination in susceptible individuals, and mutation in disease viruses. Equilibrium points of those models were determined. Stability of those models was analyzed and associated with threshold parameters. Analytical result was confirmed by numerical result showing plot solution and behaviour of the system in phase plane. The results of this study inform parameters that affect stability of the system so that the best policy to prevent endemic can be proposed.

Keywords
Epidemic model; Vaccination; Mutation; Stability; Numerical

Topic
Mathematics

Link: https://ifory.id/abstract/DBxn6baHGLYT


Teaching "Calculating blanket area, volume of tube, and cone" For deaf junior high school students
Dini Handayani, Achmad Hufad, Sunardi Tukimin, Endang Rochyadi, Asep Bayu Dani Nandiyanto

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Corresponding Author
Dini Handayani

Institutions
Universitas Pendidikan Indonesia
Jl. DR. Setiabudhi No.229, Isola, Sukasari, Kota Bandung, Jawa Barat 40154
Sekolah Pascasarja Prodi Pendidikan Khusus

Abstract
This study aims to find out how to teach calculating the area of ​​blankets, tube volumes, and cones for middle-aged deaf students. This study uses the single subject method. The research subjects were 4 second grade students of junior high school in a special school in Bandung Regency. The research data was taken by pre-test and post-test. Teaching uses total communication and explanation. The results of the study show that calculating the area of ​​blankets, volume of tubes, and cones for deaf students should be given examples and giving as many questions as possible. Giving examples and questions must be various types so students can understand

Keywords
deaf, cone, tube

Topic
Mathematics

Link: https://ifory.id/abstract/zBXmZYA4D2Ny


The Analysis of Mathematics with ATLAS.ti
Ekasatya Aldila Afriansyah (a*), Nitta Puspitasari (a), Irena Puji Luritawaty (a), Dian Mardiani (a), Rostina Sundayana (a)

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Corresponding Author
Ekasatya Aldila Afriansyah

Institutions
(a) Department of Mathematics Education, Institut Pendidikan Indonesia
Jalan Pahlawan Nomor 32, Sukagalih, Tarogong, Garut, West Java, Indonesia
*ekasatyafriansyah[at]institutpendidikan.ac.id

Abstract
The teacher is one of the important factors in a good teaching and learning process. A teacher is required to have qualified cognitive and pedagogical skills, so that he/she has to be creative in everything, including problem posing. Many studies discussed the problem of students skills but not many discussed the problem of teachers skills itself. This study used ATLAS.ti software as a tool for data analaysis. ATLAS.ti software assisted researchers to manage all various data. Research was conducted on prospective teachers in one private institution. Observation and tests were conducted on 40 respondents, while only 6 respondents were involved at the time of the phases, namely interviews. Through ATLAS.ti software, the result showed that problem posing skill of prospective teachers was still far from enough. What is needed is the right action to overcome the problems.

Keywords
Problem posing skill; prospective teacher; ATLAS.ti software

Topic
Mathematics

Link: https://ifory.id/abstract/RKuFjaXA2Te8


The Application of Empirical Bayes to Model Dengue Fever in Padang, Indonesia
Ferra Yanuar, Hazmira Yozza, Siti Juriah, Rahmatika Fajriyati

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Corresponding Author
Ferra Yanuar

Institutions
Department of Mathematics, Faculty of Mathematics and Natural Science, Andalas University, Kampus Limau Manis, 25163, Padang – Indonesia

Abstract
The Dengue Fever is an infectious disease which has always been one of the main health problems in Indonesian society. Dengue Fever is transmitted by Aedes Aegypti mosquito bites. The purposes of this study is to estimate the relative risk of spreading the dengue fever disease in Padang. Estimation is done using the Small Area Estimation method with the Empirical Bayes approach. Small area estimation is useful for estimating parameters in small subpopulations (areas) which have limited number of samples thus acceptable parameter values are hard to be obtained. In this study the construction of the model is based on Poisson-Gamma model and secondary data from Dinas Kesehatan Padang 2017 is used. This study resulted that for each district in Padang, the average relative risk of the spreading of dengue fever is almost the same, which are at medium and low level.

Keywords
Dengue Fever, Empirical Bayes, Small Area Estimation, Poisson-Gamma model

Topic
Mathematics

Link: https://ifory.id/abstract/TtFh8jm3REW9


The Application of Graph Theory for Changing Active to Passive Sentence in Indonesian Language
Susila Bahri, Nova Noliza Bakar, Des Welyyanti, Aulia Rahmayu Firdaus

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Corresponding Author
Susila Bahri

Institutions
Andalas University

Abstract
In this study, the mathematical model for changing active sentence to passive sentence in Indonesian language is constructed. In the construction process, the ten types of words are expressed as vertices on directed graphs called sentence graphs. The edges of the graphs are weighted with positive integers in the order of words in the sentence. The graph is then expressed as an adjacency matrix. The matrices form vector spaces. Finally, a linear transformation is carried out to get a sentence graph.

Keywords
changes active sentences to passive, sentence graph, adjacency matrix, linear transformation

Topic
Mathematics

Link: https://ifory.id/abstract/xkyEcXQweYqZ


The Category of Supermodules
Ibnu Hadi*, Makmuri, Sudarwanto

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Corresponding Author
ibnu hadi

Institutions
Department of Mathematics, Faculty of Mathematics and Science, Universitas Negeri Jakarta, Jl. Rawamangun Muka, Jakarta, 13220, Indonesia

Abstract
Let be commutative algebra with unit element and be an -module. Let be class of all pairs of -modules where is direct sum of and contains . In this article we give a method for defining morphism between two objects in so that become category.

Keywords
Category; Supermodules

Topic
Mathematics

Link: https://ifory.id/abstract/jfVaFv39ntzq


The Comparative Analysis of Hungarian Assesment, Matrix Ones Assignment, and Alternate Mansi Method in Solving Assignment Problem
Elis Ratna Wulan, Ayu Rahma Devi, Dian Nuraiman

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Corresponding Author
Elis Ratna Wulan

Institutions
UIN Sunan Gunung Djati Bandung

Abstract
This paper discusses about the comparison of the three methods in the assignment, that is the Hungarian Method, Matrix Ones Assignment, and Alternate Mansi Method. The Hungarian methods determine penalties in every row and column by decrease the smallest or largest point in row and column. The Matrix Ones Assignment determine penalties, divide minimum or maximum point in every row and column. The Alternate Mansi Method find the minimum or maximum value in each row that has unique value relate with the column. The concept of this problem is applied to car manufacturing company, with balanced data. While University Port Harcourt Project, using unbalanced data. Thus, it can be concluded that the Hungarian method is the most optimal.

Keywords
Assignment Problem, Hungarian Method, Matrix Ones Assignment, Alternate Mansi Method

Topic
Mathematics

Link: https://ifory.id/abstract/JhER9yxFCjpG


THE COMPARISON OF THE ORDINAL LOGISTIC MODEL WITH THE CLASSICAL REGRESSION MODEL
Nurul Astuty Yensy

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Corresponding Author
Nurul astuty Yensy

Institutions
Bengkulu University

Abstract
This research-s aims was to provide an alternative for observer and statistical user who were interested in analyzing the functional relationship between ordinal response variable and explanatory variable. The data used was the data of Students on Generation 2017 JPMIPA FKIP Bengkulu University. The data required was a student-s GPA for two semesters (semester I and II), that was as a response variable with 5 categories of grade (GPA < 2.0 worth 1; 2.0 ≤ GPA < 2.5 worth 2; 2.5 ≤ GPA < 3.0 worth 3; 3.0 ≤ GPA <3.5 value 4 and GPA ≥ 3.5 value 5). While the free variables included: Gender, Fathers Education, Fathers Occupation, Parents Income, Mothers Education, Mothers Occupation, High School Status, Average of High School Report, National Examination, UNIB admission pathway and suitability of study program. The test statistic from the modified probability ratio in ordinal logistic had a higher test power than the F test in the classical linear regression for H0: β = 0. Overall the probability of rejection (H0: β = 0) of ordinal logistic tended to be lower than the classical regression . At condition of ρ close to 1, the test power of the ordinal logistic would be the same as the classical regression. Ordinal logistic model tended to be more selective in choosing variables that significantly affect the response, resulting in a simpler model than the classical regression. The results of the research with the classical linear model (significant level α = 0.05) obtained variables that influence the student GPA were UN score, High School Report, UNIB admission pathway, High School Status and interaction of UN Score & High School Status. While the ordinal logistic model produced influential independent variables were the UN Score, High School Report, High School Status and the interaction of UN Score & High School Status.

Keywords
Ordinal Logistic, Classical Regression, Categorical Variable, Power of Test

Topic
Mathematics

Link: https://ifory.id/abstract/63Z2W4DmQuAG


The Effect of Using Weights Observation to Estimate the Monitoring Control Point Coordinate at Sermo Dam
A R Affriani (a*), N Widjajanti (b), Yulaikhah (b)

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Corresponding Author
Asri Ria Affriani

Institutions
a) Departemen Pendidikan Geografi, Fakultas Pendidikan Ilmu Pengetahuan Sosial, Universitas Pendidikan Indonesia
* asriria_affriani[at]upi.edu
b) Departemen Teknik Geodesi, Fakultas Teknik, Universitas Gadjah Mada

Abstract
The use of weights observation was effected on the estimation of coordinates and its precision. This research aims to identify 3D coordinates and its precision using weights observation from the result of GAMIT processing and the law of error propagation in sequential adjustment method. This research uses GNSS observation data from 10 deformation monitoring control points around Sermo Dam that was measured on doy 250 in 2014 and doy 129 in 2015. Data processing was performed by GAMIT software to get a baseline length and its precision. Baseline length and its precision were used as input in the sequential adjustment method. The values of weight observation were calculated using the result of GAMIT processing and the law of error propagation. The result of this research are 3D coordinates control point and its precision. The coordinate results using weight observation from GAMIT result does not significantly different from the law of error propagation result, whereas the precision result is different significantly. The differences of precision reached 2 centimeters.

Keywords
sequential adjustment; weight observation; error propagation; the addition of precision

Topic
Mathematics

Link: https://ifory.id/abstract/9tUeXqfCVWcb


THE INFLUENCE OF PREREQUISITE CONCEPTS UNDERSTANDING AND MATHEMATICAL COMMUNICATION SKILLS TOWARD MATHEMATICAL PROVING ABILITY OF MATHEMATICS EDUCATION PROGRAM STUDENTS IN FACULTY OF MATHEMATICS AND SCIENCE, STATE UNIVERSITY OF JAKARTA
Ellis Salsabila, Suyono, Burhanuddin Tolla

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Corresponding Author
Ellis Salsabila

Institutions
Universitas Negeri Jakarta

Abstract
This study aims to obtain information regarding the influence of prerequisite concepts understanding and mathematical communication skills on the mathematical proving ability of Mathematics Education Program Students in Faculty of Mathematics and Science, State University of Jakarta (FMIPA UNJ). The method used in this study was survey and correlational techniques. The study population was all students of the Mathematics Education Program FMIPA UNJ in 2018. The study sample was taken with a simple random sampling technique, there was 50 students in total. In this study, the dependent variable was mathematical proving ability and the independent variables were the prerequisite concepts understanding and mathematical communication skills. Study based on the inferential statistical analysis of research data by using multiple regression analysis to test the effect of independent variables on the dependent variables. The results obtained were: 1) the prerequisite concepts understanding had a positive effect on mathematical proving ability, and there was significant correlation by controlling mathematical communication skills; 2) mathematical communication skills had a positive effect on mathematical proving ability, and there was significant correlation by controlling the prerequisite concepts understanding; 3) there was a correlation of simultaneous prerequisite concepts understanding and mathematical communication skills toward mathematical proving ability.

Keywords
mathematical proving ability, prerequisite concepts understanding, mathematical communication skills

Topic
Mathematics

Link: https://ifory.id/abstract/F6U3aujKYWkn


The metric dimensions of bridge graphs for some classes of graphs
Amrullah, Turmuzi M, Syahrul A., Baidowi, Nani K.

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Corresponding Author
Amrullah Amrullah

Institutions
Universitas Mataram

Abstract
The metric dimension of a graph is one of the interesting problems in the research of dimensions of the graph. There are many open problems that have not been resolved until now, some of them are metrics dimension of the bridge graph and metrics dimension of the disconnected graph. This paper presents the metrics dimension of the bridge graph in several classes of graphs namely circle, complete, and star graphs. We know that the metric dimensions of the complete, circle or star graph have been obtained. The bridge graph B (G_1,G_2,e) is a graph which is obtained from the operation of adding edge e to graphs G_1 and G_2. To obtain the metric dimension of the bridge graph from the graphs G_1 and G_2 on edge e, pd(B (G_1,G_2,e)), we used the graph structure of G_1, G_2 and the properties of the bridge graph based on the endpoint on the edge e. The results, we have show the metric dimension of the bridge graph B(G_1,G_2,e) for the circle, complete, or star graphs.

Keywords
metric dimension, bridge graph, circle graph, complete graph, star graph

Topic
Mathematics

Link: https://ifory.id/abstract/UK4LVcCkGNrZ


The optimal solution of transportation problem using interval point method with production cost and non production constraint
Elis Ratna Wulan, Camelia Anggunsari

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Corresponding Author
Elis Ratna Wulan

Institutions
UIN Sunan Gunung Djati Bandung

Abstract
In an industry of a company must experience transportation problems. This transportation problem is required to schedule a delivery of goods with the objective to minimize transportation costs. The objective of the transportation model is to plan the delivery of something from the source of the destination in such way as to minimize the total transportation cost. There are several cost constraints that occur in this transportation one of which is a budget constraint in which there are constraints of production costs and non-production.In transportation it is said to be unbalanced if the total number between source and destination is not the same. In this thesis there are methods to solve the problem of transportation is not balanced with the constraints of production costs and non-production is by using the Interval-Point method. In this skripsi there are methods to solve unbalanced transportation with the constraints of production cost and non-production use an interval-point method. This method is used to find the optimal solution.

Keywords
unbalanced transportation, production cost, non production, Interval Point Method, optimal solution

Topic
Mathematics

Link: https://ifory.id/abstract/GP96q8TFmXVz


Toeplitz Algebras of Cyclically Ordered Groups
Isnie Yusnitha, Rizky Rosjanuardi, Sumanang Muhtar Gozali

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Corresponding Author
Isnie Yusnitha

Institutions
Department of Mathematics Education, Universitas Pendidikan Indonesia

Abstract
Suppose G is a cyclically ordered group. In general, a positive cone P(G) is not necessarily a semigroup. Nevertheless, for particular class of cyclically ordered group G, namely linear cyclically ordered group, P(G) is a semigroup. Furthermore, one can verify that the semigroup P(G) admits a representation on a Hilbert space. We develop the classical Toeplitz algebra theory to more general setting of ordered group, that is, to each cyclically ordered group G such that the positive cone P(G) is a semigroup, we define a Toeplitz algebra Τ (G).

Keywords
cyclically ordered group, linear, semigroup, Toeplitz algebras

Topic
Mathematics

Link: https://ifory.id/abstract/4px7qR9NZLQg


Two Dimesional Interpolation Using Tensor Product of Two Chebyshev Systems that Minimizing Integral Energy order N
Lukita Ambarwati, Devi Eka Wardhani

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Corresponding Author
Lukita Ambarwati

Institutions
Universitas Negeri Jakarta

Abstract
In this paper we will solve the interpolation problem on two dimension, that is given k points (xi,yi,ci), i=1,2,...,k, we will found continuous function U(x,y) such that U(xi,yi)=ci, i=1,2,...,k and U minimizing integral energy order N. The support points (xi,yi) did not have rectangular grid form. We will use tensor product of two Chebychev systems as a base of interpolation function space.

Keywords
Interpolation, Non rectangular grid form, Tensor product, Chebyshev Systems, Minimizing energy

Topic
Mathematics

Link: https://ifory.id/abstract/b6ADyqT7mJQZ


What are The Difficulties in Statistics and Probability?
N Puspitasari1*, E A Afriansyah1*, R Nuraeni1*, S S Madio, 1*and A Margana2*

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Corresponding Author
Nitta Puspitasari

Institutions
1Program Studi Pendidikan Matematika, Institut Pendidikan Indonesia, Jl. Pahlawan No.32 Tarogong Garut, Jawa Barat, Indonesia.
2Progran Studi Teknologi Pembelajaran Pascasarjana, Institut Pendidikan Indonesia, Jl. Pahlawan No.32 Tarogong Garut, Jawa Barat, Indonesia.

Abstract
Statistics and probability are parts of mathematics that are often used in everyday life. However, to be able to understand statistics and probabilities a thinking process is needed is not easy. To determine the extent to which respondents understanding of statistics and probability survey conducted by giving the test to 115 respondents. The results showed that respondents difficulties in statistics and probability were difficulties in probabilistic reasoning, combinatoric reasoning, and proof of variability in random variables.

Keywords
-

Topic
Mathematics

Link: https://ifory.id/abstract/pakjq2nZEXb7


Wingeom Program in Geometry
Mega Achdisty Noordyana*, Iyam Maryati, Tina Sri Sumartini, Deddy Sofyan, Rostina Sundayana

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Corresponding Author
Mega Achdisty Noordyana

Institutions
Institut Pendidikan Indonesia Garut, Jl. Terusan Pahlawan 32, Garut 44151, Indonesia.
*disty.0101[at]gmail.com
*mega[at]institutpendidikan.ac.id

Abstract
Wingeom program is a mindtool to solve geometry problems. It is used to develop dimensional geometry frameworks. The program can help visualize geometric concepts so clearly that respondents will understand geometry concepts effortlessly. Driven by this expediency, this design base research was carried out in three stages; what to learn, how to learn, when to learn, monitor the ongoing process and evaluate what has been planned, done, and the results of the process. This research is expected to be an alternative and solution in overcoming difficulties in understanding the Geometry concepts. Five respondents were selected to participate in this study. The results of the study showed that the respondents were able to explore, observe, and perform animated images and dimensional geometry material.

Keywords
Wingeom Program, Design base Research

Topic
Mathematics

Link: https://ifory.id/abstract/RfVv68JqEAxY


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