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151 ABS-54 Mathematics

On Linear Cyclically Ordered Sub Groups of Cyclically Ordered Groups
Rizky Rosjanuardi, Isnie Yusnitha, Sumanang Muhtar Gozali

Department of Mathematics Education, FPMIPA Universitas Pendidikan Indonesia. Jl. Dr. Setia Budhi 229 Bandung-Indonesia


Abstract

Given a group G equipped with a cyclic order so that G is cyclically ordered group, in this condition, all subgroups of G are cyclically ordered. When the group G is finite the cyclic order on G is not linear, even when the group G is infinite, the cyclic order on G is not necessarily linear. In this article we discuss an infinite group G and some conditions so that there is a subgroup H of G in which the cyclic order on H is also linear. The positive cone P(H) of H is then a semigroup, meanwhile the positive cone P(G) of G is not necessarily a semigroup.

Keywords: cyclic order, group, subgroup, linear, positive cone

PermaLink | Plain Format | Corresponding Author (Rizky Rosjanuardi)


152 ABS-325 Mathematics

Epidemic model in a population with Allee effect using fuzzy approach
Z Amarti (a*), N Anggriani (a), E D Wiraningsih (b), A K Supriatna (a)

(a) Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, INDONESIA
*zeniamarti[at]gmail.com
(b) Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Jakarta, INDONESIA


Abstract

Epidemiology has been defined as the study of disease distribution and its determinants in human population. The epidemic growth model is an important tools used in preparing good management for society to predict the future of the population and the spread of disease. Epidemic models are usually formed in differential equations or systems of differential equations, depending on the complexity of the underlying properties of the population. One example of biological complexity is the Allee effect. In this paper we discuss a Logistic epidemic by considering the Allee effect on the population. Dynamic analysis is performed by determining fixed point and its stability analysis in crisp condition. We found the Basic Reproduction Ratio (BRR) for the model. The properties of the solution of the model are explored by the use of its numerical solution. The numerical solution is obtained using the Runge-Kutta method. Further exploration is done through a fuzzy theory approach to accommodate uncertainty, inaccuracy and uncertainty in epidemiological problems.

Keywords: Logistic epidemic model; Allee effect; Fuzzy theory

PermaLink | Plain Format | Corresponding Author (Zenia Amarti)


153 ABS-97 Mathematics

On the Bipanharmonic real and complex valued Function
Endang Cahya MA(1), Sumanang Muhtar Gozali(2)

Departemen Pendidikan Matematika FPMIPA UPI


Abstract

In this article we study the basic properties of bipanharmonic function. In addition, we also give the solution of bipanharmonic equations on the a bove half plane.

Keywords: bipanharmonic

PermaLink | Plain Format | Corresponding Author (Endang Cahya M Asih)


154 ABS-353 Mathematics

Application of Modularity-Maximizing Graph Communities in Cross-Sector Linkages: Case Study in Agricultural Sector
Irlan Adiyatma Rum (a*), Yosini Deliana (b)

a) Department of Economics, Universitas Padjadjaran, Bandung Indonesia
*irlan.rum[at]unpad.ac.id
b) Department of Agribusiness, Universitass Padjadjaran, Bandung Indonesia


Abstract

The network literature has shown that the great interest is to identify communities. There are many approaches for finding such partitions and one of them is by using modularity-maximizing graph. In this paper, graph application is used to determine cross-sector communities in the economy, especially related with agricultural sector. From I/O analysis, we derive intersectoral linkages and determine the leading sectors in the economy. Then, we use a particular natural approach called Leuvain modularity maximization to compute the modularity clustering across sectors. This paper reveals conditions for or properties of the maximum modularity of an intersectoral network. The number of clusters vary when the intersectoral network is changed. This paper shows that this approach creates interesting community structures for agricultural sector. Finally, we highlight the performance and quality of our approach versus standard I/O analysis.

Keywords: Leuvain Modularity, Clustering, Intersectoral Linkages, Agricultural Sector

PermaLink | Plain Format | Corresponding Author (Irlan Adiyatma Rum)


155 ABS-381 Mathematics

A New Approach Solution for Fuzzy Assignment Problem Using The Zimmermann Method of Development
Fitriani Agustina, Lukman

Department of Mathematica, FPMIPA Universitas Pendidikan Indonesia
Jl. Dr. Setiabudhi No. 229, Bandung 40154 Indonesia


Abstract

Transportation problems and assignment problems are special cases of linear programming problems. Entit et al [1] studied about the development of Zimmerman method to solve fuzzy linear programming problems was known as the Zimmerman method of development. The Zimmerman method of development was carried out using the concept of Zimmermann method and Thoranis ranking function. This paper discusses about solution for fuzzy assignment problems with parameter costs being fuzzy number using the Zimmermann of development that introduced by Entit et al [1]. In this article also presents an illustration of a numerical example about the Zimmermann method of development for solving fuzzy assignment problems.

Keywords: Fuzzy Assignment, Zimmermann Method

PermaLink | Plain Format | Corresponding Author (Fitriani Agustina)


156 ABS-382 Mathematics

Sufficient and Necessary Conditions for Generalized Holders Inequality In p-Summable Sequence Spaces
1Al A.Masta, 2S. Fatimah, 3A.Arsisari, 4Y. Y. Putra, and 5F.Apriani

1,2Department of Mathematics Education, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi no. 229, Bandung 40154, INDONESIA.
3,4,5Department of Mathematics Education, Sekolah Tinggi Keguruan dan Ilmu Pendidikan Muhammadiyah Bangka Belitung, Jl. KH. Ahmad Dahlan 51, Kabupaten Bangka Tengah, Bangka Belitung, 33684, INDONESIA.


Abstract

Keywords: Holders Inequality, p-Summable Sequence Spaces

PermaLink | Plain Format | Corresponding Author (Al Azhary Masta)


157 ABS-149 Mathematics

Ethnomathematics on Woven Fabric (Tembe Nggoli) of Mbojo Tribe Society
Sowanto

STKIP Bima


Abstract

This study aims to reveal the relationship of mathematics with a culture that has been considered to be unrelated. This research was conducted on Mbojo Tribe society in Bima and Dompu districts. The focus of this research was about the weaving activities of the mbojo tribe society that produces the geometry pattern on their woven fabrics (Tembe Nggoli). The method used in this research was ethnography method with data collection technique that was through observation, interview to the weaver community of Tembe Nggoli of Mbojo tribe society, documentation of geometry forms contained on Tembe Nggoli, to the making of field notes followed by literature study about geometry. The results of this study indicate that there is a concept of goemetry at woven fabric (Tembe Nggoli) of mbojo tribe society that can be used as a source of learning and make students and the community better understand the relationship between their culture with the concept of mathematics.

Keywords: Tembe Nggoli, Geometry Forms, Ethnography

PermaLink | Plain Format | Corresponding Author (Sowanto )


158 ABS-157 Mathematics

Maximum Sustainable Yield (MSY) Value in Predator Prey Model with Holling Type II Functional Response
Fadilah Ilahi (a*), Ana Widiana (b)

(a) Department of Mathematics, UIN Sunan Gunung Djati, Jl. A.H. Nasution No.105, Bandung, Indonesia
*fadilah.ilahi[at]uinsgd.ac.id
(b) Department of Biology, UIN Sunan Gunung Djati, Jl. A.H. Nasution No. 105, Bandung, Indonesia


Abstract

Maximum Sustainable Yield (MSY) is a management exploitation that aims to maximize the catch but still maintain its sustainability. In this article, the authors try to build a model which have been modified from basic Lotka-Volterra model with addition logistic function to prey population and Holling Type II functional response to predator population as well as harvesting of both population. The equilibrium points and the stability are done here through the linearization. Numerical simulations are shown to illustrate the dynamics of the two populations. Based on the results of analysis and numerical simulation, the MSY value can be achieved when the harvesting effort does not exceed or equal the MSY value.

Keywords: maximum sustainable yield (MSY), harvesting, Holling type II, predator-prey

PermaLink | Plain Format | Corresponding Author (Fadilah Ilahi)


159 ABS-239 Mathematics

Rainfall Frequency Analysis of Upper Part Distribution Events Using Higher Order L-Moments Approach
Moath Suleiman Ali Jarah (a), Zahrahtul Amani Zakaria (a*)

a) Faculty of Informatics and Computing,
Universiti Sultan Zainal Abidin,
Besut Campus, 22200 Besut, Terengganu, Malaysia
*zahrahtulamani[at]unisza.edu.my


Abstract

Extreme precipitation events such as floods, heavy rainfalls and many others are rare in nature, but they may have a strong impact on society. Therefore, analyzing these types of data is important in order to obtain the best probability distribution that could represent the event. Classical L-moments are widely used in determining the best-fit distribution of the hydrological events. However, this method is said to be oversensitive to the lower values data and give less weight to the upper part of the distribution. In this case, the method of higher order L-moments (LH-moments) was implemented as a more robust alternative compared to classical L-moments to characterize the upper part of the distribution. The main aim of the study is to conduct a frequency analysis of maximum monthly rainfalls using LH-moments approach in characterizing the large event data. The data of maximum monthly rainfall for several stations in Terengganu were obtained from Department of Irrigation and Drainage Terengganu. The parameters were estimated using LH-moments approach for six distributions considered in this study such as, generalized extreme value (GEV), generalized logistic (GLO), three parameter kappa type-II (K3D), generalized Pareto (GPD), normal (N), and Mielke-Johnsons kappa (K2D) distributions. The analyses were conducted using conventional L-moments method with n=0 and LH-moments methods with n=1, n=2, n=3, and n=4 for a complete data series and for the upper parts of the distributions. LH-moments with n = 0 are known as L-moments. LH-moments with n=1, 2, 3 and 4 imply LH-moments of the larger events in data and the upper part of the distributions. The most suitable distributions were determined based on the mean absolute deviation index (MADI), mean square deviation index (MSDI) and correlation (r). LH-moments methods which performed on different levels of the upper parts of the distribution and complete data series showed that the GPD is the best distribution to fit the data of maximum monthly rainfalls for the seven stations in Terengganu. The results also proved that whenever &#951; increases, LH-moments reflect more and more characteristics of the upper part of the distribution. This seems to suggest that LH-moments estimates for the upper part of the distribution events are superior to L-moments for fitting the data of maximum monthly rainfalls for several stations in Terengganu.

Keywords: LH-moments; probability distribution; moment ratio diagram; parameter estimation

PermaLink | Plain Format | Corresponding Author (Zahrahtul Amani Zakaria)


160 ABS-241 Mathematics

The partition dimension of subdivision graph on the Star
Amrullah, Syahrul A., Harry S., Turmuzi M., Yunita S. A.

Department of Mathematics Education, Faculty of Teacher Training and Education, Mataram University, Jl. Majapahit 62 Mataram, Indonesia
email: amrullah[at]unram.ac.id, syharulazmi[at]unram.ac.id,harrysoeprianto[at]unram.ac.id, mturmuzi[at]unram.ac.id, na2_math[at]yahoo.com


Abstract

The partition dimension of the graphs is one of the open problems in graph theory. One of the methods which are used researcher is a graph operation, for example, subdivision operations. Let $G$ be a connected graph, the subdivision operation of $G$ is an operation in $G$ with order $n$ that replaces any edge of $G$ by a path $ P_{k_i+2}$ for $k_i\geq 1$ and $i\in [1,n]$. The result graph of this operation is called the subdivision graph, is denoted by $S(G(E;k_1,k_2,\cdots,k_n))$. Furthermore, if each $k_i=1$, then the subdivision graph is denoted by $S(G)$. One of the most recent results on the partition dimension of subdivision operation in the general graphs is published by Amrullah, et al 2016. However, the results show only un upper and lower bounds of the subdivision graph partition dimension. Therefore, this paper is devoted to finding the partition dimension of subdivision graph $S(G)$ and $S(G(E;k_1,k_2,\cdots,k_n))$ on special star graphs $G=K_{1,n}$.

Keywords: Partition dimension; star graph,;resolving partition;subdivision

PermaLink | Plain Format | Corresponding Author (Amrullah Amrullah)


161 ABS-246 Mathematics

HERD VACCINATION THRESHOLD FOR RABIES DISEASE WITH FUZZY INITIAL CONDITION AND FUZZY TRANSMISSION COEFFICIENT
Eti D. Wiraningsih1, Zenia Amarti2, and Asep K. Supriatna2

1Department of Mathematics, Faculty of Mathematics and Natural Sciences, State University of Jakarta, DKI-Jakarta, Indonesia
2 Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Padjadjaran, Bandung-West Java, Indonesia


Abstract

This paper considers a deterministic model for the transmission dynamics of rabies virus in the wild dogs-human zoonotic cycle. The endemic equilibrium is found and its existence depends on the value of the basic reproduction number. The effect of vaccination in dogs is considered on the model. We then also present the effective reproduction number in the presence of the vaccination. Further we developed the formula to obtain the minimum level of the vaccination to eliminate the endemic equilibrium, which called as the herd vaccination threshold. We found the relation between this herd vaccination threshold and the basic reproduction number. The effect of some fuzzy parameters and fuzzy initial conditions to the herd vaccination threshold are also investigated.

Keywords: Rabies mathematical model, herd vaccination threshold, fuzzy initial condition

PermaLink | Plain Format | Corresponding Author (Eti Dwi Wiraningsih)


162 ABS-248 Mathematics

Effect of Depth and Width of Periodic Trapezoidal Channels to Water Content in Soil: A Numerical Study.
Imam Solekhudin

Department of Mathematics, Universitas Gadjah Mada


Abstract

In this paper, problems involving steady infiltration from periodic trapezoidal channels are considered. There are variations in the depth and width of the periodic channels. The governing equation of the problems, which is Richards equation, is transformed into a modified Helmholtz equation. The modified Helmholtz equation is then solved numerically using Dual Reciprocity Boundary Element Methods (DRBEM). Solutions obtained are then compared and discussed to observe effects of the depth and width of the channels to water content in the soil.

Keywords: Infiltration; periodic channels; DRBEM.

PermaLink | Plain Format | Corresponding Author (IMAM SOLEKHUDIN)


163 ABS-252 Mathematics

Number of failures for Weibull hazard function with fuzzy shape parameter
Hennie Husniah (1), Rohmana (1) & Asep K. Supriatna (2)

1. Department of Industrial Engineering, Langlangbuana University, Jl. Karapitan no 116, Bandung 40261, Indonesia

2. Department of Mathematics, Padjadjaran University, Jl. Raya Bandung-Sumedang Km 21, Jatinangor 45363, Indonesia


Abstract

Number of failures play important role in maintenance strategy for industrial equipment, either repairable or non-repairable ones. There are several form of known distribution used to model the failures of an industrial equipment. Weibull distribution, and its hazard function, is among the most used distribution. Most maintenance models in literature mainly consider certain or crisp condition in a deterministic form. However, many real phenomena seem do not suitable to model in such certain or crisp condition. One approach to model a possibilistic uncertainty is by applying the fuzzy number theory. In this paper, we discuss the Weibull hazard function by assuming a fuzzy shape parameter. We look for the number of failures generating by the function using two different methods. The first one assumes that the fuzziness of the shape parameter propagates to the number of failures with the same form of fuzzy number membership. The second one use the fuzziness of the shape parameter in the computation of the number of failures directly, through the concept of alpha-cut or alpha-level. Some comparisons regarding these approaches are presented.

Keywords: Triangular fuzzy number, alpha-cut, Weinbull distribution, number of failures

PermaLink | Plain Format | Corresponding Author (Hennie Husniah)


164 ABS-257 Mathematics Education

How is the ability of pre-services mathematics teacher to read a mathematical proof?
Muchamad Subali Noto (1,2*), Nanang Priatna (1), Jarnawi Afgani Dahlan (1), S Setiyani (2)

(1) Departement of Mathematics Education, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi No. 229, Bandung 40154, Indonesia
(2) Departement of Mathematics Education, Universitas Swadaya Gunung Djati, Jl. Perjuangan No.1 Cirebon, Indonesia
*E-mail: msubalinoto[at]student.upi.edu


Abstract

Mathematics learning at the college has demanded pre-services mathematics teacher to have high-level mathematical skills including mathematical proofs. Several studies have focused on improving these abilities, but very few focus on the ability to read mathematical proofs. Though this ability that is needed by students in learning mathematical proofs. The purpose of this study is to analyse the ability to read mathematical proofs of students. This research is qualitative research, data obtained through interview and test. There were two problems in geometry given to three students with different abilities. The result shows that students ability to read mathematical proof is still low, as a whole the students have difficulties in every step of proofing, both in verification the proofs and writing down the concept used.

Keywords: Pre-services Mathematics Teacher, Mathematical Proofs, and Geometry

PermaLink | Plain Format | Corresponding Author (Muchamad Subali Noto)


165 ABS-258 Mathematics Education

The Effect of Problem-Based Learning Charged With Ethnomathematics of Cirebon District on Mathematical Understanding
Dimas Candra Perdana (a*) Isrokatun (b)

a) Universitas Pendidikan Indonesia Kampus Sumedang, Jl. Mayor Abdurachman No. 211 Sumedang, 45621, West Java, Indonesia.
*)dimascandra[at]student.upi.edu
b) Universitas Pendidikan Indonesia Kampus Sumedang, Jl. Mayor Abdurachman No. 211 Sumedang, 45621, West Java, Indonesia.


Abstract

The purpose of this research is to know how effect Problem-Based Learning approach charged with ethnomathematics of Cirebon District on mathematical understanding. The method used in this research is quasi-experimental method with nonequivalent control group design. The research population is all fourth grade students of Elementary School in Palimanan Subdistrict, Cirebon District. Sampling used is a sampling purposive. The selected samples of research are SDN 2 Palimanan Timur as experimental class, and SDN 1 Pegagan as control class. The instruments used are the test instrument of mathematical understanding, observation sheet of student activity and student response questionnaire. The result of research showed Problem-Based Learning approach charged with ethnomathematics of Cirebon District have positive effect on mathematical understanding. Problem-Based approach charged with ethnomathematics of Cirebon District is better than conventional learning to improve mathematical understanding. The new findings in this research from the results of questionnaire, students prefer modern culture better than local culture.

Keywords: Problem-Based Learning Approach, Ethnomathematics, Mathematical Understanding

PermaLink | Plain Format | Corresponding Author (Dimas Candra Perdana)


166 ABS-3 Mathematics Education

Mathematically gifted student ways of thinking on fractions
T Ikhwanudin, Wahyudin, and S Prabawanto

Departemen Pendidikan Matematika, Universitas Pendidikan Indonesia
Jl. Dr. Setiabudhi No. 229, Bandung 40154, Indonesia


Abstract

This research aims to analyze mathematically gifted student ways of thinking on fractions learning. The respondent was one mathematically gifted student of the 7th graders in the junior high school. The research approach was qualitative. The data were collected through paper and pencil measure, observation, and interview. The data were analyzed by grounded theory with coding and constant comparison. The results showed five mathematical thinking types; those are quantification, schematization, symbolization, concretization and analogical thinking. The findings are then elaborated using some related theories to justify the results

Keywords: mathematically gifted student, ways of thinking, fractions learning

PermaLink | Plain Format | Corresponding Author (Trisno Ikhwanudin)


167 ABS-261 Mathematics Education

Problem Based MHM Strategy to Enhance Junior High School Students Mathematical Creative Problem Solving Ability and Mathematical Disposition
Bety Miliyawati (a*), Tatang Herman (b), Turmudi (b)

(a*) Universitas Subang
(b) Universitas Pendidikan Indonesia


Abstract

This article presents the results of research on the development of mathematics learning with problem based Mathematical Habits of Mind (MHM) strategy to enhance mathematical creative problem solving (MCPS) ability and mathematical disposition. Quasi experimental research with posttest control group design involved 146 eighth grade students from two State Junior High Schools in Subang regency, each consisting of two classes. The instruments used were tests MCPS ability and mathematical disposition. Research data of students pretest, posttes, and normalized gain scores for MCPS ability were analyzed using two-way ANOVA and Mann Whitney. Based on data analysis results, it is found that there is a significant difference in the enhancement of students MCPS ability and mathematical disposition of students between the experimental and control groups at the high and medium school levels. On the other hand, there is a difference in mathematical disposition in terms of school level. Meanwhile, there is an interaction effect between problem-based MHM strategies and school-levels on the students mathematical disposition. Conclusion, that the enhancement of MCPS ability of students who were taught with problem based MHM strategy is significantly greater compared conventional learning in terms of school level.

Keywords: problem-based learning, MHM strategy, mathematical creative problem solving, mathematical disposition

PermaLink | Plain Format | Corresponding Author (Bety Miliyawati)


168 ABS-7 Mathematics Education

E-learning assisted problem based learning for self-regulated learning and mathematical problem solving
R. Poppy Yaniawati (a*); Bana G. Kartasasmita (a); Jusep Saputra (b)

(a) Magister of Mathematics Education, Universitas Pasundan
Jalan Sumatera no 41, Bandung 40117, Indonesia
(*) e-mail: pyaniawati[at]unpas.ac.id

(b) Mathematics Education, Universitas Pasundan
Jalan Taman Sari no 6-8, Bandung 40116, Indonesia


Abstract

This study aims to analyze the effectiveness of e-learning assisted problem-based learning (PBL) to enhance self-regulated learning and its impact on the mathematical problem-solving skill of college students. This study used mixed methods research with embedded design by comparing groups of e-learning assisted PBL and conventional learning. The subjects were undergraduate students of mathematics education in Universitas Pasundan Bandung Indonesia. The instruments were the test, questionnaire, interview guidelines, and observation guidelines. The data analyze use of two way ANOVA, Mann-Whitney test, and linear regression analysis. The results show that: The mathematical problem-solving ability of students who used e-learning assisted PBL is better rather than those who used conventional learning; The self-regulated learning of students who used e-learning PBL is better rather than those who used conventional learning; There is an influence of self-regulated learning on students mathematical problem-solving skill

Keywords: mathematics learning; undergraduate students, mixed methods embedded, two way ANOVA, influence

PermaLink | Plain Format | Corresponding Author (R. Poppy Yaniawati)


169 ABS-9 Mathematics Education

Clustering for multi-dimensional data set: a case study on educational data
Mokhammad Ridwan Yudhanegara (a*), Karunia Eka Lestari (b)

a,b) Universitas Singaperbangsa Karawang
Jalan H. S. Ronggowaluyo Telukjambe Timur Karawang
*mridwan.yudhanegara[at]staff.unsika.ac.id


Abstract

This paper present two-step cluster method to handle data sets in educational data mining. It can handle multi-dimentional metric data points to produce the best quality clustering with the available resources. Especially useful in complex data sets where traditional clustering methods would fail to find groupings. For a case study, we use educational data in order to assign a clustering of alumni based on the profile. The result of clustering will help the school to evaluate and improve the quality of its graduates.

Keywords: Educational Data

PermaLink | Plain Format | Corresponding Author (Mokhammad Ridwan Yudhanegara)


170 ABS-265 Mathematics Education

Enhancement of Mathematical Logical Thinking, Mathematical Reflective Thinking, and Mathematical Self-efficacy Students through REACT (Relating, Experiencing, Applying, Cooperating, Transfering) Strategy
Shella Anggun Pertiwi, Endang Cahya MA, Bambang Avip Priatna

Universitas Pendidikan Indonesia


Abstract

This study aims to improve the ability of logical thinking and reflective thinking of mathematical students, as well as to analyze the level of self-efficacy of students studied REACT and students who are accustomed to learning. The results of this study indicate that: 1) Increasing the ability of logical thinking and reflective thinking mathematical students who get learning with REACT higher than students who are able to do learning in general in the category of KAM. 2) Mathematical self-efficacy of students who get learning with REACT is better than students who achieve regular learning

Keywords: Mathematical Logical Thinking, Mathematical Reflective Thinking, Self-efficacy, REACT Strategy

PermaLink | Plain Format | Corresponding Author (Shella Anggun Pertiwi)


171 ABS-12 Mathematics Education

Pedagogis and didaktis of junior high school teachers on learning process on mathematical problem solving
Y Harisman (a,b*), Y S Kusumah (a), K Kusnandi (a)

a) Departemen Pendidikan Matematika, Universitas Pendidikan Indonesia
b) Departemen Pendidikan Matematika, STKIP PGRI Sumatera Barat, Jl. Gunung Pangilun Padang Utara Kota Padang Sumatera Barat 25000, Indonesia
*yulyyuki[at]gmail.com



Abstract

Mathematical problem solving is the core of the learning process of mathematics. How teachers do the learning process of problem solving is very important to discuss. This study aims to see how the three junior high school teachers in the learning process of problem solving. The type of this research was descriptive research with survey method. Three volunteer teachers from three schools were made as research subjects. Each teacher had documented the learning process that had been conducted during three meetings. Observation material was the topic of geometry, this is because this topic would enable the process of learning about mathematical problem solving. The videos would be analyzed to see how the depth and breadth of pedagogical and didactic aspects. The results of the video analysis would be recorded and coded to see the differences in understanding the problem, selecting the problem solving strategy, implementing the problem solving strategy, and verifying the problem solving solution. Based on the research results obtained theory that suggests three categories of depth of didactic and pedagogical aspects of teachers in problem solving learning. These three categories were named with good, very good, and excellent category. Each category would be presented in this paper.

Keywords: problem solving, didatic, pedagogik

PermaLink | Plain Format | Corresponding Author (Yulyanti Harisman)


172 ABS-17 Mathematics Education

Pbl-teamteaching on developing vocational mathematics textbook
A Maharani1*, Darhim2, J Sabandar3, and T Herman4

1Program Studi Pendidikan Matematika, Universitas Swadaya Gunung Djati, Jl. Perjuangan No. 1, Cirebon 45134, Indonesia;
2Program Studi Pendidikan Matematika, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi No. 229, Bandung 40154, Indonesia
3Program Studi Pendidikan Matematika, IKIP Siliwangi, Jl. Terusan Jendral Sudirman, Cimahi, Indonesia
4Program Studi Pendidikan Matematika, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi No. 229, Bandung 40154, Indonesia


Abstract

Abstract. This paper is the result of development research to produce mathematics textbook which can be used as one of learning resource for vocational students of competence of light vehicle engineering skill and Business and Motorcycle Technique. The research method used in the development of this textbook is the research and development method (Research Design and Development). Development is carried out through development stages according to Sugiyono[1], namely (1) potentials and problems, (2) data collection, (3) product design, (4) design validation, and (5) design revisions. Research product in the form of textbook of mathematics vocational school material Geometry & Measurement based on creative thinking ability. The product of the development was validated by 3 lecturers and 2 Mathematics teachers from two different schools. The results showed that textbook mathematics vocational school material Geometry & Measurement-based creative thinking ability has a valid validity level.

Keywords: Textbooks, PBL-team teaching, creative thinking skills,vocational school

PermaLink | Plain Format | Corresponding Author (Anggita Maharani)


173 ABS-273 Mathematics Education

Implementation of lectures to increase skills of students make mathematic lesson plan based on islamic values
A Jihad1, A Malik2

1 Program Studi Matematika, UIN Sunan Gunung Djati Bandung, JL. A.H. Nasution No. 105, Bandung 40614, Indonesia
2 Program Studi Fisika, UIN Sunan Gunung Djati Bandung, JL. A.H. Nasution No. 105, Bandung, 40614, Indonesia


Abstract

Students of department of mathematics besides having the ability to master math concept, teaching also must be able to make Lesson Plan (LP) based on Islamic value as characteristic of UIN Sunan Gunung Djati Bandung student. The ability of students to develop LP, still not optimal, the researcher is interested to make the model of learning in improving the ability of preparing LP. The research used descriptive evaluative method. The research was conducted on 40 students of mathematics department UIN Sunan Gunung Djati Bandung. This study aims to analyze the ability of students in preparing the LP Mathematics based on Islamic values, the instruments used in the questionnaire and the test of the ability to construct Islamic values-based LP. The results of the research, the implementation of lectures on improving the students ability to design the LP based on Islamic value including the medium category, the results of Islamic values-based LP still have not appeared in mathematical content, learning objectives and evaluation. Thus, the design of lecturing models in the mathematics department should collaborate between with mathematical content, pedagogy and religion.

Keywords: Lesson plan, math, islamic value

PermaLink | Plain Format | Corresponding Author (Asep Jihad)


174 ABS-276 Mathematics Education

The Different way of understanding and way of thinking between gender on the problem the linear equations of two variables
M T Bakar, D Suryadi , and D Darhim

Universitas Pendidikan Indonesia


Abstract

This article discusses about way of understanding and way of thinking college students between gender in solve math problems. A way of understanding is a cognitive product of a mental act perform by someone, and way of thinking is a cognitive characteristic of a menthal act. The mental act is obtained by observing their statements and actions. Open interviews conducted by researchers after watching the learning video and check the college student works . This research uses phenomenographic approach. Rusdi and Ira are prospective elementary teachers who have equal ability of between gender in solving four problems related to the linear equation of two variables. The results of this study revealed that female college students tend to relate previous concepts to problems on the subject, solution representation more than one way, and way of thinking appear are to use empirical solutions and tend to follow frequently used patterns. While the male college students answered practically, that is using the clue of the question to obtain a solution, and way of thinking appear are to as non refential symbolic. This implies that way of understanding college students depend on heavily on the characteristics of their way of thinking.

Keywords: WoU, WoT, Gender,

PermaLink | Plain Format | Corresponding Author (Marwia Tamrin Bakar)


175 ABS-21 Mathematics Education

Activity Impacts in Problem Based Learning and Mathematical Problem Posing on Critical Thinking Ability
Bambang Eko Susilo (a,b*), Turmudi (c)

a) School of Post Graduate of Universitas Pendidikan Indonesia, Jl. Dr. Setiabudhi 229, 40154 Bandung, Indonesia
b) Universitas Negeri Semarang, Kampus Sekaran, Gunungpati, 50229 Semarang, Indonesia
*bambang.mat[at]mail.unnes.ac.id.
c) School of Post Graduate of Universitas Pendidikan Indonesia, Jl. Dr. Setiabudhi 229, 40154 Bandung, Indonesia


Abstract

Critical thinking ability is an important aspect developed in mathematics learning. Critical thinking ability as one of the higher-order thinking skills is needed in solving math problems and complex problems, in the life of multinational and multicultural relations. Critical thinking ability strived for its development with various forms of learning models, approaches, and strategies, such as Problem Based Learning and Mathematical Problem Posing. This research discusses activity impacts in Problem Based Learning and Mathematical Problem Posing on critical thinking ability. The method used in this research is literature review through stages: problem formulation, literature search, data evaluation, analysis, and interpretation. The review included experimental studies between the years 2002 to 2017. The results showed that student activities in learning as a consequence of the syntax of Problem Based Learning and the steps of Mathematical Problem Posing have related to the stages with the indicators of critical thinking ability, so that activities in Problem Based Learning and Mathematical Problem Posing have impacts in developing students critical thinking ability.

Keywords: Problem Based Learning; Mathematical Problem Posing; Critical thinking ability; Activity impacts

PermaLink | Plain Format | Corresponding Author (Bambang Eko Susilo)


176 ABS-280 Mathematics Education

Development Teaching Material Mathematics based on Ethnomatematics to Improve the Students Ability Mathematical Problems Solving
Aritsya Imswatama (a), Hamidah Suryani Lukman (b)

a) Mathematics Education Departement, Muhammadiyah Sukabumi University. Jalan R. Syamsudin SH No 50 Kota Sukabumi
iaritsya[at]gmail.com
b) Mathematics Education Departement, Muhammadiyah Sukabumi University. Jalan R. Syamsudin SH No 50 Kota Sukabumi, hamni_alkhawarizmi[at]yahoo.co.id


Abstract

This reserach was aimed to describe the quality of teaching materials mathematics based on ethnomatematics to improve the ability of solving mathematical problems of students of Junior High School in VII grade. There are three aspects of quality that will be examined, there are the validity, practicality, and effectiveness. This type of research is a type of research development. The development model used in this research is the ADDIE model which includes five stages, there are analysis, design, development, implementation and evaluation. The results showed that this teaching material has a value of validity with an average score of 3.5 which means good / appropriate and also practical to use for learning mathematics with the average score of student questionnaire responses of 3.649 which means good / appropriate. Then this instructional material is effective in improving students problem solving skills as evidenced by the result of t test of 2,222 which states that the problem solving ability of students whose learning by using mathematics materials based on ethnomatematics is better than the ability of the student to solve the learning without the etnomatematics

Keywords: Mathematics Teaching Materials, ethnomathematics, The Ability Mathematical Problems Solving

PermaLink | Plain Format | Corresponding Author (Aritsya Imswatama)


177 ABS-26 Mathematics Education

LEARNING ARITHMETIC WITH BACKSOUND MUSIC CLASSIC ROMANTIC
karlimah

Universitas Pendidikan Indonesia Kampus Tasikmalaya
Program studi Pendidikan Guru Sekolah Dasar (PGSD)


Abstract

This study is based on our previous research results, that classical music can improve the mathematical intelligence of elementary school students (Karlimah and Respati, 2016). But the learning model used has not been studied, therefore done further research to develop the model of learning mathematics with backsound classical music of the era romantik. The research method used is Design-Based Research (DBR). Development using four stages, adoption and modification of Reeves development design (Jan Van Akker, 2010). Research subjects were the same teachers and students in the previous study. The study was conducted for eight months. The product of learning model is named Romantic Learning Arithmetic Model. The result of the research shows that the Romantic Learning Arithmetic Model is started from the beginning activity which is opening and conditioning learning, giving motivation to learn, doing apersepsi and learning orientation; the core activities of presenting learning, giving learning direction, independent learning experience, and presentation of learning outcomes, and the final activities of evaluation, follow up, and closing.

Keywords: learning arithmatics, romantic classic music

PermaLink | Plain Format | Corresponding Author (karlimah karlimah)


178 ABS-30 Mathematics Education

ANALYSIS OF STATISTICAL LITERACY ABILITY AMONG MADRASAH TSANAWIYAH STUDENTS
I Maryati, N. Priatna, B.A.P. Martadiputra

Universitas Pendidikan Indonesia


Abstract

Abtract: This study aims to analyze the statistical literacy ability of students of Madrasah Tsanawiyah Negeri 1 Garut, academic year 2016/2017 grade 8th in statistical materials, especially related to the discussion of measurement and concentration of data based on indicators of statistical literacy ability in terms of reading statistical data, understanding the concept statistics, communicating the process of statistical data processing, and presenting the results of statistical data processing. The research method used is qualitative descriptive method with case study. Subjects in this study amounted to 35 students. The result of data analysis showed students ability in reading statistical data given in the form of tables, diagrams and graphs of 35%, students ability in understanding the concept to determine the distribution of data, mean, mode and median from a data set of 32% in communicating the processing process of the distribution of data, averages, modes, and medians by 30%, and students achievement in presenting the processing results of data distribution, averages, modes and medians of 28%. In addition to the difficulties experienced by students in statistical literacy capabilities are also analyzed solutions that can be applied in minimizing the problems.

Keywords: Statistical Literacy

PermaLink | Plain Format | Corresponding Author (Iyam Maryati)


179 ABS-36 Mathematics Education

ZONE OF CONCEPT IMAGE OF DIFFERENCES ANALYSIS ON ALGEBRAIC THINKING IN ELEMENTARY SCHOOL STUDENTS
Vira Pratiwi (a*), Tatang Herman (b), and Didi Suryadi (b).

a) Elementary Education, Universitas Pendidikan Indonesia
*virapratiwi[at]student.upi.edu
b) Mathematics Education, Universitas Pendidikan Indonesia


Abstract

Keywords: Algebraic Thinking; Elementary School; Zone of Concept Image of Differences.

PermaLink | Plain Format | Corresponding Author (Vira Pratiwi)


180 ABS-292 Mathematics Education


Lilis Nurasiah, Bambang Avip Priatna

Universitas Pendidikan Indonesia


Abstract

Keywords: Mathematical Anxiety, Mathematical Communication Ability, Mathematical Understanding Ability

PermaLink | Plain Format | Corresponding Author (Lilis Nurasiah)


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