Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
JMP is a an open access journal which publishes research articles, reviews, case studies, guest edited thematic issues and short communications/letters in all areas of mathematics, applied mathematics, applied commutative algebra and algebraic geometry, mathematical biology, physics and engineering, theoretical bioinformatics, experimental mathematics, theoretical computer science, numerical computation and applications of systems, partial differential and differential equations, integral and integral differential equations and mathematical modeling.
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PENGEMBANGAN MEDIA E-LEARNING PADA MATA KULIAH KOMPUTASI I DI PERGURUAN TINGGI.
Achmad Buchori
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman
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DOI: 10.20884/1.jmp.2012.4.1.2949
Media Development E-Learning in Computing I course at the university.This study aims to acquire e-learning instructional media are valid for self-study student in the course of computing I. Population in the study were all students of third semester of mathematics education IKIP PGRI Semarang. This study is a research and development. In media studies e-learning development is carried out with 4 (four) stages, namely (a) a preliminary analysis, (b) Design, (c) Evaluation, (d) Revised. Processing the data using descriptive qualitative data analysis techniques. Corresponding results of questionnaires about the development of e-learning in the obtained value sig = 0.00 and R = 0,541, which means it affects the motivation for 54.1% of the student learning outcomes. Gained an average of better learning outcomes between the experimental class at 84.27 compared with 80.05 for the control class. The results obtained from the e-learning instructional media are valid for independent study students on computing courses I according to developmental theory Akker and student learning outcomes.
MATRIKS KOVARIANSI DALAM REGRESI NONPARAMETRIK MULTIRESPON PADA KASUS KORELASI SAMA DAN KORELASI TIDAK SAMA
Budi Lestari;
I Nyoman Budiantara;
Sony Sunaryo;
Muhammad Mashuri
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman
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DOI: 10.20884/1.jmp.2012.4.1.2950
In the real cases, we are frequently faced the problem in which two or more dependent variables are observed at several values of the independent variables, such as at multiple time points. Multi-response nonparametric regression model, especially smoothing spline model, provides powerful tools to model the function which represents association of among the variables. The problem is how to estimate nonparametric regression curve of the multi-response nonparametric regression model. The nonparametric regression curve can be estimated using spline estimator approach, that is by carrying out penalized weighted least-squares optimation. Therefore, we need a covariance matrix which will be used as a weight of the optimation. In this paper, we determine the construction of covariance matrix for both equal and unequal of correlations cases. The results show that the covariance matrices have quite similar construction of diagonal elements but the elements outside the diagonal have very different construction that depend on the construction of the Jordan matrix.
KEEFEKTIFAN PEMBELAJARAN MATEMATIKA BERBASIS KONTRUKTIVISME PADA MATA KULIAH MATEMATIKA DASAR
Aryo Andri Nugroho
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman
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DOI: 10.20884/1.jmp.2012.4.1.2951
This research aims to improve mathematics learning achievement of first semester student majoring biology at IKIP PGRI Semarang using mathematics learning based on constructivism in basic mathematics courses. This type of study is a research of Quasy Experimental. The population is the first semester of students majoring in biology education IKIP PGRI Semarang which consists of five classes. By random sampling technique we choose two classes, class 1A as a class experiment and class 1E as a control class. Variables in this research are the process skills (X) as the independent variable and learning achievement (Y) as the dependent variable. Data collection had been done by observation and learning achievement tests and for analyzing by comparison and influence tests. The results showed that completeness test has average 70.20 . It means that completeness had been and there is a achievement difference between the experimental class and control class. Beside that, we find that variable of process skill has a positive effect to the learning achievement by regression equation and the effect is 20.3%. It is shown that learning at experiment class is effective.
ESTIMASI PARAMETER PADA MODEL COX MULTIVARIAT DENGAN METODE MAXIMUM PARTIAL LIKELIHOOD ESTIMATION
Irfan Wahyudi;
Purhadi Purhadi;
Sutikno Sutikno;
Irhamah Irhamah
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman
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DOI: 10.20884/1.jmp.2012.4.1.2954
Multivariate Cox proportional hazard models have ratio property, that is the ratio of hazard functions for two individuals with covariate vectors z1 and z2 are constant (time independent). In this study we talk about estimation of prameters on multivariate Cox model by using Maximum Partial Likelihood Estimation (MPLE) method. To determine the appropriate estimators that maximize the ln-partial likelihood function, after a score vector and a Hessian matrix are found, numerical iteration methods are applied. In this case, we use a Newton Raphson method. This numerical method is used since the solutions of the equation system of the score vector after setting it equal to zero vector are not closed form. Considering the studies about multivariate Cox model are limited, including the parameter estimation methods, but the methods are urgently needed by some fields of study related such as economics, engineering and medical sciences. For this reasons, the goal of this study is designed to develop parameter estimation methods from univariate to multivariate cases.
EKSPERIMENTASI PEMBELAJARAN MATEMATIKA DENGAN PENDEKATAN CONTEXTUAL TEACHING AND LEARNING (CTL) DITINJAU DARI KEMAMPUAN AWAL SISWA KELAS VII SMP NEGERI KABUPATEN SUKOHARJO
Lukman Harun
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman
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DOI: 10.20884/1.jmp.2012.4.1.2955
Tujuan penelitian untuk mengetahui: (1) apakah pembelajaran CTL lebih baik daripada ekspositori, (2) apakah siswa memiliki kemampuan awal tinggi mempunyai prestasi belajar matematika lebih baik daripada sedang dan rendah, (3) apakah perbedaan pembelajaran CTL dan ekspositori tergantung kepada kemampuan awal. Penelitian ini adalah penelitian eksperimen semu. Populasi penelitian adalah siswa kelas VII SMP Negeri Sukoharjo Tahun Pelajaran 2009/2010. Teknik analisis datanya menggunakan analisis variansi dua jalan 2 x 3 dengan sel tak sama dengan taraf signifikansi 5%. Pengujian prasyarat analisis dilakukan dengan metode Lilliefors untuk uji normalitas dan metode Bartlett untuk uji homogenitas. Dari hasil analisis disimpulkan: (1) CTL menghasilkan prestasi belajar matematika lebih baik dibandingkan ekspositori pada materi segi empat, (2) Prestasi belajar matematika siswa kemampuan awal tinggi lebih baik daripada siswa yang sedang dan rendah serta prestasi belajar matematika siswa kemampuan awal sedang lebih baik daripada siswa yang rendah pada materi segi empat, (3.a) Siswa kemampuan awal tinggi dan rendah mempunyai prestasi yang lebih baik pada pembelajaran dengan CTL (3.b) Pada pembelajaran dengan CTL maupun ekspositori, siswa kemampuan awal tinggi mempunyai prestasi belajar matematika lebih baik dibandingkan siswa sedang dan rendah, siswa dengan kemampuan awal sedang lebih baik dibandingkan siswa yang rendah.
EFEKTIFITAS PEMBELAJARAN MATEMATIKA MODEL LEARNING CYCLE 5E BERBANTUAN CD INTERAKTIF MATERI SEGITIGA KELAS VII DI SMPN 2 LIMPUNG KABUPATEN BATANG
Lilik Ariyanto;
Muhammad Prayito
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman
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DOI: 10.20884/1.jmp.2012.4.1.2956
This study has the objective to determine the effectiveness of mathematic learning with Learning Cycle 5e model using interactive CD of triangle in class VII N 2 Limpung, Batang . This type of research is experimental research. Variables used in this study were: (1) student learning outcomes, obtained with the test, (2) creativity of student learning obtained from observations. The results of field trials demonstrated experimentally achieve effective classroom learning include, (1) study completed by the Z = -1.48 classical individually and with one test sample value sig (2-tailed) is 0.016, (2) creativity affects the outcome learning seen from the R square in Model Summary table obtained 0.660 = 66%., and (3) there is a difference between a class to learn the results of experimental and control classes with values in the table Independent sig Test Samples of 0.029 = 2.9%, the average value the average grade of 70.57 experimental and control classes for 60.93 it can be concluded that the experimental class learning better learning outcomes compared to the control class.
KETAKSAMAAN CHEBYSHEV DAN PERUMUMANNYA
Pangeran B.H.P;
Hendra Gunawan
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman
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DOI: 10.20884/1.jmp.2012.4.1.2957
We study Chebyshev’s Inequality and example of its application on the expectation of a continuous random variable. In addition, we also discussed the inequality on determinant form.
FUZZY C-MEANS CLUSTERING UNTUK PENGELOMPOKAN BAHAN MAKANAN BERDASARKAN KANDUNGAN ZAT GIZI
Meysi Budiyanti;
Mutia Nur Estri
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman
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DOI: 10.20884/1.jmp.2012.4.1.2958
Fuzzy C-Means Clustering (FCM) is a data clustering technique where each data point belongs to a cluster by membership degree. FCM starts with the concept of cluster centers that mark the mean location of each cluster. By iteratively updating the cluster centers and the membership degree for each data point, then the cluster centers move to the right location. FCM can be applied to group the nutrients of foods based on three functions of nutrients which are food as energy provider, body functions regulator and growth developer. Each nutrients are grouped into three cluster. The information of food group can used as reference or recomendation for someone who
HUBUNGAN ANTARA NILAI KRITIS DERIVATIF- F^\alpha DENGAN DIMENSI-\gamma DARI SUATU KURVA
Supriyadi Wibowo
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman
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DOI: 10.20884/1.jmp.2012.4.1.2959
Continue function that defined on fractal set is a function which has irregular structure, that can not be an ordinary differentiable on F. In this paper will be explored the correlation between critical point of the derivatif with dimension- of a curve. By using the properties of the derivative , Holder’s continue function in rank of and dimension , has been obtained the correlation between critical value of derivative and the dimension of a curve.
LEMMA HENSTOCK PADA INTEGRAL M_\alpha
Muslich Muslich
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman
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DOI: 10.20884/1.jmp.2012.4.1.2960
Based on the McShane partition and McShane integral, it can be arranged the partition and integral concepts. Furthermore, it is discussed some simple properties of integral and Lemma Henstock.