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AdMathEdu : Jurnal Ilmiah Pendidikan Matematika, Ilmu Matematika dan Matematika Terapan
Published by Universitas Ahmad Dahlan
ISSN : 2088687X     EISSN : 26567040     DOI : 10.12928
Core Subject : Education,
Education Mathematics
Admathedu is a peer-reviewed open access journal published twice in a year (June and December) since 2011. The Admathedu aims to provide an national forum for researchers and professionals to share their ideas on all topics related to mathematics education.
Arjuna Subject : -
Articles 393 Documents
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PEMILIHAN MODEL DAN ESTIMASI PARAMETER BAYESIAN HIRARKI UNTUK MODEL SUBSET ARMA MENGGUNAKAN ALGORITMA REVERSIBLE JUMP SIMULATED ANNEALING MCMC Taram, Abdul
Jurnal Ilmiah AdMathEdu Vol 1, No 2 (2011): Desember
Publisher : Universitas Ahmad Dahlan

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Abstract

If the Subset ARMA models fitted to real data, then the true value of the order and model parameters are often unknown. The purpose of this paper is to find an estimator-estimator for the order and parameters of the model based on the data. In this paper, the identification of order and subset ARMA model parameter estimation is done in a hierarchical Bayesian framework. Within this framework, the order and model parameters are assumed distributed priors. All order information about the characteristics and parameters of the model then expressed in the posterior distribution. Determination of the probability of the order and parameters of the posterior models requires the integration of the resulting posterior distribution, is an operation which is very difficult to do analytically. Here the algorithm Reversible Jump MCMC Simulated Annealing developed to perform the necessary integration through simulated posterior distribution.
OPTIMISASI PORTOFOLIO RESIKO MENGGUNAKAN MODEL MARKOWITZ MVO Muhammad Mussafi, Noor Saif
Jurnal Ilmiah AdMathEdu Vol 1, No 1 (2011): Juni
Publisher : Universitas Ahmad Dahlan

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Abstract

Risk portfolio on modern finance has become increasingly technical, requiring the use of sophisticated mathematical tools in both research and practice. Since companies cannot insure themselves completely against risk, they have to manage it to yield an optimal portfolio. The objective here is to minimize the variance among all portfolios, or alternatively, to maximize expected return among all portfolios that has at least a certain expected return. Furthermore, this study focuses on optimizing risk portfolio so called Markowitz MVO (Mean-Variance Optimization). Some theoretical frameworks for analysis are arithmetic mean, geometric mean, variance, covariance, linear programming, and quadratic programming. Moreover, finding a minimum variance portfolio produces a convex quadratic programming, that is minimizing the objective function    with constraints  and . The outcome of this research is the solution of optimal risk portofolio in some investments that could be finished smoothly using MATLAB R2007b software together with its graphic analysis.
EFEKTIVITAS PEMBELAJARAN KOOPERATIF TIPE NUMBERED HEADS TOGETHER ( NHT) DAN STUDENT TEAM ACHIEVEMENT DIVISION (STAD) PADA PRESTASI BELAJAR MATEMATIKA DITINJAU DARI MOTIVASI BERPRESTASI Yuzianah, Dita
Jurnal Ilmiah AdMathEdu Vol 1, No 1 (2011): Juni
Publisher : Universitas Ahmad Dahlan

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Abstract

The objectives of the research are to investigate: (1) the effectiveness of the cooperative learning model of NHT compared to that of the cooperative learning model of STAD, (2) the learning achievement in Mathematics learning of the students with the high, medium, and low achievement motivations, (3) the effectiveness of the cooperative learning model of NHT of the students with the high, medium and low achievement motivations, (4) the effectiveness of the cooperative learning model of STAD of the students with the high, medium, and low achievement motivations, and (5) the effectiveness of the cooperative learning models of NHT and STAD for each category of the achievement motivations.The research used a quasi-experimental research method. The population of the research was all of the students in Grade IV of 12 State Primary Schools in Belitang sub-district in the academic year of 2010/2011. The samples of the research were taken by using a stratified cluster random sampling technique, and were divided into two experimental groups. Experimental Group I consisted of 86 students of three schools, and Experimental Group II consisted of 73 students of 3 schools. The data of the research were gathered through documentation, questionnaire, and test. They were then analyzed by using a two-way analysis of variance with unequal cells. Prior to the analysis, the instruments were exposed to the pre-requisite tests of normality test and homogeneity test.The results of the research are as follows: (1) the learning achievement in Mathematics learning of the students taught with the cooperative learning model of NHT is the same as that of the students taught with the cooperative learning of STAD; (2) the learning achievement in Mathematics learning of the students with the high achievement motivation is better than that of the students with the medium achievement motivation, the learning achievement in Mathematics learning of the students with the medium achievement motivation is better than that of the students with the low achievement motivation, and the learning achievement in Mathematics learning of the students with the high achievement motivation is better than that of the students with the low achievement motivation; (3) in the cooperative learning model of NHT, the learning achievement in Mathematics learning of the students with the high achievement motivation is better than that of the students with the medium achievement motivation, the learning achievement in Mathematics learning of the students with the medium achievement motivation is better than that of the students with the low achievement motivation, and the learning achievement in Mathematics learning of the students with the high achievement motivation is better than that of the students with the low achievement motivation; (4) in the cooperative learning model of STAD, the learning achievement in Mathematics learning of the students with the high achievement motivation is better than that of the students with the medium achievement motivation, the learning achievement in Mathematics learning of the students with the medium achievement motivation is better than that of the students with the low achievement motivation, and the learning achievement in Mathematics learning of the students with the high achievement motivation is better than that of the students with the low achievement motivation; and (5) the students with the high, medium, and low achievement motivations taught with the cooperative learning model of NHT have the same learning achievement in Mathematics learning as those taught with the cooperative learning model of STAD.
PROFIL PENGAJUAN SOAL MAHASISWA CALON GURU BERKEMAMPUAN RENDAH Yudianto, Erfan
Jurnal Ilmiah AdMathEdu Vol 2, No 1 (2012): Juni
Publisher : Universitas Ahmad Dahlan

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Abstract

The research was moticated by the difficulty of students to solve mathematical problems, especially in the material derivative. Based on preliminary data obtained from research experience in teaching, students confusion in understanding the intent of the question whether the proposed teacher and from textbooks.  One alternative could be done to help students by rewriting the problem with his own words or write about in other forms. Hence the need for prospective teachers’ knowledge about the strategy. The purpose of this study to describe the profile of the submission of profpective teachers about students assessed based on mathematically ability. The resultsare expented to be utilized by the student teacher candidates to be applied in teaching and learning activities in schools. This study uses tests and interviews. Tests of the information given to prospective teachers and students the information is processed into a problem. Information given to the students of mathematics teacher candidat capable low as a research subject. Interviews were conducted to students of mathematics
KONDISI URUTAN NATURAL PADA SEMIGRUP REGULER Widayati, Widayati
Jurnal Ilmiah AdMathEdu Vol 1, No 2 (2011): Desember
Publisher : Universitas Ahmad Dahlan

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Abstract

In this paper, it’s discussed about the construction of regular semigroup, orthodox semigroup, including inverse semigroup and band. A natural order in S for the regular semigrup is given by  with . Semigroup S is called pure if for  and , then . The purpose of this research is to determine the condition of the natural order on some regular semigrup construction and its relationship with E-unitary and pure semigrup. Pure semigroup and and E-unitary is a special condition of the natural order. There is a natural order that is not a partial order. Natural order can be defined in some semigroup construction. In a mapping, there is a purity that influence each other, and also by inverse semigrup.
EFEKTIVITAS MODEL ESTIMASI KESALAHAN PENGUKURAN PADA PERANGKAT SOAL MATEMATIKA MENGGUNAKAN TEORI TES KLASIK Kusdinar, Uus
Jurnal Ilmiah AdMathEdu Vol 2, No 1 (2012): Juni
Publisher : Universitas Ahmad Dahlan

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Abstract

This study aims to describe the estimation point of measurement error in mathematics tests using the classic theory and to find out the effect of the estimation model of measurement errors. This study population is all participant answer sheets of UN SMA mathematic test conducted in 2009/2010 academic year in the city of Yogyakarta in the form of a multiple choice test. The sample was established by stratified proportional systematic random sampling. The data were in the form of  documentation and analyzed with  the Iteman program. The model used for the analysis is Thorndike, , Kristoff, and Feldt models The research results can be summarized as follows. For the error estimation model with the classic theory, the average error estimation of the mathematics test is in the range of  2.65742  £ SEM £  3.544352. In the classic theory, Thorndike model yields the biggest measurement error estimation, which means Thorndike model is the most effective model to estimate measurement error in a mathematic test.
KEEFEKTIFAN PENILAIAN KINERJA MODEL PEMBELAJARAN KOOPERATIF DENGAN METODE PENEMUAN PADA POKOK BAHASAN JAJARGENJANG DI KELAS VII Faridah, Luluk
Jurnal Ilmiah AdMathEdu Vol 2, No 2 (2012): Desember
Publisher : Universitas Ahmad Dahlan

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Abstract

One the factor that effect to assessment the learning mathematics is assessment. Performance assessment is assessment that require students to demonstrate the performance, instead of answering of selecting an answer from a range of possible answer are already available. With the discovery method is no longer expected students to memorize formula or concept. But knowing how to get formula or concept through the patterns drawn by your self, so if the students forget, they can reconstruct these patterns and will obtain the required formula or concept. The discovery method combined with cooperative learning model is based on the theory that students will more easily find and understand difficult concept when using this learning model. This research is descriptive research that describes or explains the event. The research is done at SMPN 3 Taman Sidoarjo and the subject of the research is students of class VII B. In this research, the effectiveness of the learning implementation is based on: (1) completeness of learning results, (2) student activities, (3) teachers ability to manage learning, and (4) student’s response towards learning. The analysis showed the students complete the implementation of the study. The ability of teacher to manage students learning activies and shows effective. While the response of students in the teaching-learning shows possitive. Therefore, it can be concluded that the fourth aspect of the effectiveness of the learning achieved.   Key words: Effectiveness, Performance assessment, Cooperative, Discovery method.
OPTIMASI MODEL MATEMATIKA KEUANGAN PADA ASSET BEBAS RESIKO Sugiyarto, Sugiyarto
Jurnal Ilmiah AdMathEdu Vol 2, No 2 (2012): Desember
Publisher : Universitas Ahmad Dahlan

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Abstract

This paper discuss about optimization theory and its application in finance model. The capital and the growth rate of a company are depend on amount of debt , share and dividends that are not distributed to the shareholders. Using Hamiltonian function, a company’s growth movement can be analyzed and the right time and amount of dividend that will be distributed can be determined. The assumption that used in this paper is generally ,the value of growth rate is smaller than banking interest rate.   Key words: control theory, Hamiltonian function, dividend
PENGGUNAAN METODE K-MEANS CLUSTERING UNTUK PENENTUAN PUSAT FUNGSI BASIS PADA MODEL RADIAL BASIS FUNCTION NEURAL NETWORK (RBFNN) DENGAN MENGGUNAKAN DATA KUNJUNGAN WISMAN KE YOGYAKARTA 1994 – 2006 Khasanah, Uswatun
Jurnal Ilmiah AdMathEdu Vol 1, No 1 (2011): Juni
Publisher : Universitas Ahmad Dahlan

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Abstract

Radial Basis Function Neural Network is a large group of neural network model which has  distance between the input vector to the prototype vectors that are the inputs of hidden units. The benefits of Radial Basis Function Neural Network to determine the function of regulatory approaches, noisy interpolation, density estimation, optimal classification theory and potential functions. There are some benefits of Radial Basis Function Neural Network, but there is a lack of standard procedures to determine the model of Radial Basis Function Neural Networks on the optimal time series data. This study uses  the data of  foreign tourist visiting  to Yogyakarta in 1994-2006. The data is taken from the amount of input 4 and classes of 3,4,5,6, and 7. Subsequently from them it is determined the center and variance of each class using K-Means clustering method and determined the number of basis functions on the model of Radial Basis Function Neural Network by using forward selection method. The results is that there are five types of centers based on the number of inputs and the number of classes. Based on the acquired centers, by using forward selection for the number of classes 3, 4, 5, 6, and 7 it is obtained by consecutive number of basis functions 3, 3, 4.6, and 7.
PERHITUNGAN BOBOT RESIKO KREDIT DENGAN PENDEKATAN ADVANCED INTERNAL RATING BASED (AIRB) MODEL LGD Arina Hidayati, Nur
Jurnal Ilmiah AdMathEdu Vol 1, No 1 (2011): Juni
Publisher : Universitas Ahmad Dahlan

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Abstract

The Calculation of minimum capital charges with LGD model of AIRB approach is one of ways to calculate the credit risk weight, a part of banks efforts in managing the risks occurred because of defaulted debtors. In the AIRB approach, it is required components risks required to calculate the minimum capital charges, namely Probability of Default (PD), Loss Given Default (LGD),   Maturity (M). In addition, this model is also needed other risk components, namely: Conditional Probability of Default (CPD), Conditional Loss Given Default (CLGD) and Maturity Adjustment (MatAd). CLGD is a form of LGD modeling where the CLGD formulation formed by using beta distribution.

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