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Journal of Mathematics and Mathematics Education
Published by Universitas Sebelas Maret
ISSN : -     EISSN : -     DOI : -
Core Subject : Education,
Education Mathematics
Arjuna Subject : -
Articles 83 Documents
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PENGGUNAAN INTERPOLASI HERMITE KUBIK DALAM PENYELESAIAN PERSAMAAN STURM-LIOUVILLE DENGAN METODE ELEMEN HINGGA Maryono, Dwi
Journal of Mathematics and Mathematics Education Vol 1, No 1 (2011): Journal of Mathematics and Mathematics Education
Publisher : Journal of Mathematics and Mathematics Education

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Abstract

ABSTRACT: Eigenvalue problems especially Sturm-Liouville equations often occur in physics. Homogenous Dirichlet or mixed boundary value problems can be constructed from these equations. The nontrivial solution from these equations can be obtained  using finite element methods. The purpose of this research is to obtain the details of  the  construction  of  finite  element  method  using  cubic  Hermite  interpolation  in    solving  Sturm-Liouville equations. The result shows that the solutions of the finite element method using cubic Hermite interpolation is  good  enough  in  solving  Sturm  Liouville  equation.  Based  on  the  example,  its  error  depends  on  the element’s length and the index of the eigenvalue or eigen function. Keywords : finite element, Sturm-Liouville, Hermite Interpolation, Eigen value
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE NUMBERED HEADS TOGETHER (NHT) DAN STUDENT TEAMS ACHIEVEMENT DIVISIONS (STAD) DITINJAU DARI KEINGINTAHUAN DAN GAYA KOGNITIF PESERTA DIDIK SMP DI KABUPATEN BLORA Wijaya, Agung Putra; Mardiyana, Mardiyana; Suyono, Suyono
Journal of Mathematics and Mathematics Education Vol 1, No 2 (2011): Journal of Mathematics and Mathematics Education
Publisher : Journal of Mathematics and Mathematics Education

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Abstract

 ABSTRACTThe purposes of this study are to know the different effect of each category of learning model, curiosity, and cognitive style, also their interaction towards mathematics achievement. This study is a quasi experimental research with 2x3x2 factorial design. The population is all students of junior high school in Blora. Sampling was done by stratified cluster random technique. The instruments used to collect data are test of prior knowledge in mathematics, curiosity questionnaire, cognitive style test (GEFT), and mathematics achievement test. The testing of hypothesis uses three-way analysis of variance with unequal cell. The testing of hypothesis concludes that (1) There is a different effect between each category of learning model. (2) There is a different effect among each category of curiosity. (3) There is a different effect among each category of cognitive style. (4) There is an interaction between learning model and curiosity towards mathematics achievement. (5) There is an interaction between learning model and cognitive style towards mathematics achievement. (6) There is an interaction between curiosity and cognitive style towards mathematics achievement. (7) There is an interaction among learning model, curiosity, and cognitive style towards mathematics achievement.Keywords: NHT, STAD, Curiosity, Cognitive Style, Mathematics Achievement
SOLUSI KUADRAT TERKECIL MODEL REGRESI FUZZY DENGAN VARIABEL DEPENDEN FUZZY SIMETRIS Kharisudin, Iqbal
Journal of Mathematics and Mathematics Education Vol 1, No 1 (2011): Journal of Mathematics and Mathematics Education
Publisher : Journal of Mathematics and Mathematics Education

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Abstract

ABSTRACT: It is known that the regression model used to analyze the crisp data. In the condition that there is  uncertainty  (imprecision,  vagueness)  on  values  of  observed  variables,  then  the  fuzzy  regression model is required. In this paper discussed a fuzzy regression model with symmetrical fuzzy dependent variable and crisp independent variables using the least squares approach. The method used to find the  linear  model  is  to  minimize  the  distance  function  between  observed  fuzzy  variables  with  the estimation dependent variable or the corresponding theoretical value. It is shown that the solution of this  model  is  a  generalization  of  the  classical  regression  model. Further  discussion  is  about  the properties of solution of the model.Keyword: center model, spread model, fuzzy distance, iterative solution.
PENGGUNAAN MATLAB DALAM PENYELESAIAN SISTEM PERSAMAAN LINEAR MENGGUNAKAN JARINGAN HOPFIELD LINEAR Yuana, Rosihan Ari
Journal of Mathematics and Mathematics Education Vol 1, No 1 (2011): Journal of Mathematics and Mathematics Education
Publisher : Journal of Mathematics and Mathematics Education

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Abstract

Abstrak: Aplikasi  jaringan  syaraf  tiruan  untuk  menyelesaikan  permasalahan  komputasi  telah  banyak digunakan.  Salah  satunya  adalah  algoritma  jaringan  Hopfield  Linear  untuk  menyelesaikan  sistem persamaan  linear.  Algoritma  ini  memungkinkan  mesin  (komputer)  dapat  menyelesaikan  sistem persamaan linear dengan serangkaian proses training. Dalam artikel ini digunakan MATLAB untuk mengimplementasikan  algoritma  tersebut.  Output  dari  script  MATLAB  yang  dibuat  meliputi penyelesaian persamaan linear, informasi performa (running time) dan juga error beserta grafiknya.Keyword: sistem persamaan linear, jaringan syaraf buatan, jaringan Hopfield linear, MATLAB 
MODIFIKASI PEMBELAJARAN STATISTIKA MATEMATIKA DENGAN METODE PETA KONSEP MELALUI PENDEKATAN ANALOGI Triyanto, Triyanto
Journal of Mathematics and Mathematics Education Vol 1, No 2 (2011): Journal of Mathematics and Mathematics Education
Publisher : Journal of Mathematics and Mathematics Education

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Abstract

ABSTRAK             Tujuan dari penelitian ini adalah untuk mengembangkan dan menerapkan model dan perangkat pembelajaran Statistika Matematika I melalui modifikasi pembelajaran dengan metode peta konsep melalui pendekatan analogi,  dengan harapan kualitas pembelajaran dapat ditingkatkan. Sejalan dengan tujuan penelitian tersebut maka penelitian ini merupakan penelitian pengembangan dengan model 4-D. Sedangkan dalam penerapannya,  penelitan ini menggunakan metode diskriptif kuantitatif untuk mengetahui pengaruh pembelajaran peta konsep melalui pendekatan analogi (yang dikembangkan) terhadap prestasi  belajar mahasiswa pada mata kuliah Statistika Matematika I.  Populasi dalam penelitian ini adalah seluruh mahasiswa Program Studi Pendidikan Matematika, Fakultas Keguruan dan Ilmu Pendidikan, Universitas Sebelas Maret Surakarta. Sedangkan sampel yang digunakan dalam penelitian ini adalah 70 mahasiswa yang secara acak dari mahasiswa yang mengambil mata kuliah  Statistika Matematika I tahun akademik 2010/2011. Dari sampel tersebut 35 mahasiswa ditempatkan dalam kelas eksperimen dan 35 mahasiwa yang lain ditempatkan dalam kelas kontrol.Hasil penelitian ini adalah 1) Telah dikembangkan perangkat pembelajaran yang  berupa bahan ajar dan RPP untuk mata kuliah  Statistika Matematika I yang mengacu pada pembelajaran peta konsep melalui pendekatan analogi. 2) Terdapat pengaruh positif pembelajaran peta konsep melalui pendekatan analogi pada mata kuliah Statistika Matematika I di Program Studi Pendidikan Matematika Fakultas Keguruan dan Ilmu Pendidikan Universitas Sebelas Maret Surakarta. Kata Kunci : Statistika Matematika, Peta Konsep, Analogi1)         Artikel hasil penelitian2)         Staf Pengajar pada Program Studi Pend. Matematika, FKIP, UNS
DEPENDENSI DALAM MODEL RESIKO INDIVIDUAL UNTUK ASURANSI JIWA KELOMPOK Pramesti, Getut; Kartiko, Sri Haryatmi
Journal of Mathematics and Mathematics Education Vol 1, No 1 (2011): Journal of Mathematics and Mathematics Education
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Abstract

ABSTRACT: The  risk  dependence  of  an  insurance  portfolio  in  a  group  life  insurance  can  be  described  as  the individual risk model. It is used in modeling the claim distribution of insurance contracts over a fixed period  of  time.  The  distribution  computation  is  conducted  with  direct  calculation  throught  n convolution of individual claim distribution. We discuss the impact of the risk dependence on the net value of the stop–loss premium. A third risk factor in the dependence risk model is also introduced.Key words : The risk dependence, group life insurance, individual risk model, claim, the net value of the stop-loss premium.
PROSES BERPIKIR SISWA KELAS IX SEKOLAH MENENGAH PERTAMA YANG BERKEMAMPUAN MATEMATIKA TINGGI DALAM MEMECAHKAN MASALAH MATEMATIKA Kusmayadi, Tri Atmojo; Sujadi, Imam; Muhtarom, Muhtarom
Journal of Mathematics and Mathematics Education Vol 1, No 2 (2011): Journal of Mathematics and Mathematics Education
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Abstract

Abstract: This  study  aim  to  describe  the  students’  thinking  process  of  9th  grade  of  Junior High School has a high mathematics capability in solving the mathematics problem based on Polya rule. This  study  is  qualitative  descriptive  research.  The  criteria  of  subject  selection included the students’ has a high mathematics capability and communication fluency both spoken  and  written.  The  data  collection  was  done  using  written  test  and  task-based interview  techniques.  Data  analysis  done  based  on  written  test  data  and  task-based interview techniques data. And then it has been done the method triangulation to get valid subject data.  Finally,  the  result  of  description  thinking  process  as  follows:  students  with  high mathematics  capability,  in  understanding  problem  using  assimilation  thinking  process, make  a  plan  using  assimilation  and  accommodation  thinking  process.  Assimilation thinking process can be identified when the students can mention the prerequisite material, can directly relate the sides kite (BF = FG) and can directly develop problem solving plan. Meanwhile,  accommodation  thinking  process  can  be  seen  when  the  students  drew  an auxiliary  line  from  E  to  the  right  thereby  intersecting  with  CD  line  (the  intersection  was labeled  H  point),  so  devided  trapezoid  AEDG  become  right  triangle  EHG  and  rectangle AEHD. In carrying out a plan and in looking back at the completed solution, the students used assimilation thinking process. Keywords: thinking process, mathematics problem, and problem solving.
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE GROUP INVESTIGATION DAN TEAM ASSISTED INDIVIDUALIZATION DENGAN PENDEKATAN CONTEXTUAL TEACHING AND LEARNING PADA POKOK BAHASANGARIS DAN SUDUT DITINJAU DARI SIKAP SISWATERHADAP MATEMATIKA KELAS VII SMP Maharani, Swasti; Budiyono, Budiyono; Sari Saputro, Dewi Retno
Journal of Mathematics and Mathematics Education Vol 4, No 1 (2014): Journal of Mathematics and Mathematics Education
Publisher : Journal of Mathematics and Mathematics Education

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Abstract

Abstract: The objectives of this research were to find out: (1) which learning model of the GI with CTL approach, TAI with CTL approach or conventional learning results in a better learning achievement in mathematics; (2) which students attitudes toward mathematics of the positive, neutral, or negative types results in a better learning achievement in mathematics; (3) in each students attitudes toward mathematics, which learning model of the GI with CTL approach, TAI with CTL approach or conventional learning results in a better learning achievement in mathematics; and (4) in each learning model, which students attitudes toward mathematics of the positive, neutral, or negative types results in a better learning achievement in mathematics. This research used the quasi experimental research method with the factorial design of 3x3. Its population was all of the students in Grade VII of State Junior High Schools in Ngawi regency. The samples of the research were taken by using the stratified cluster random sampling technique. The data of the research were analyzed by using the unbalanced two-way analysis of variance at the significance level of 5%. The results of this study showed that: (1) the GI and TAI with CTL approach learning models result in the same good learning achievement in mathematics, but both result in a better learning achievement in mathematics than the conventional learning model; (2) the mathematics learning achievement with positive attitudes toward mathematics was better than that with neutral and negative attitudes towards matematics, that with neutral attitude towards matematics was better than that with negative attitudes toward mathematics; (3) in each students attitudes toward mathematics type, the GI and TAI with CTL approach learning models result in the same good learning achievement in Mathematics, but both result in a better learning achievement in mathematics than the conventional learning model; (4) in each learning model, the mathematics learning achievement with positive attitudes toward mathematics was better than that with neutral and negative attitudes towards matematics, that with neutral attitude towards matematics was better than that with negative attitudes toward mathematics.Key words: learning model, GI, TAI, conventional, CTL approach, students attitudes toward mathematics.
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF MISSOURI MATHEMATICS PROJECT (MMP) DAN THINK PAIR SHARE (TPS) DENGAN PENDEKATAN SAINTIFIK PADA MATERI PERSAMAAN GARIS LURUS DITINJAU DARI KECERDASAN EMOSIONAL SISWA SMP NEGERI SE-KABUPATEN PEMALANG Adeyanto, Rizki; Kusmayadi, Tri Atmojo; Riyadi, Riyadi
Journal of Mathematics and Mathematics Education Vol 6, No 1 (2016): Journal of Mathematics and Mathematics Education
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Abstract: The aim of the research was to determine the effect of learning models scientific MMP, scientific TPS, scientific classical on  mathematics achievement  viewed from student Emotional Quotient (EQ). The objectives of research were to find out: 1) which one providing better learning achievement, scientific MMP, scientific TPS, or scientific classical. 2) which one having better learning achievement, students with high, medium, or low EQ. 3) in each learning models, which one having better learning achievement, students with high, medium, or low EQ. 4) in each EQ level, which one providing better learning achievement, scientific MMP, scientific TPS, or scientific classical. The type of the research was quasi experimental research using design factorial 3x3. The population was the students in grade VIII junior high school in a city of Pemalang. The size of the sample was 309 students. The hypothesis test used unbalance two ways analysis of variance. The conclusions of the research were as follows. 1) Scientific MMP provided better learning achievement than scientific TPS and scientific classical, while scientific TPS provided better learning achievement than scientific classical.  2)  The students with high EQ had better learning achievement than medium and low EQ, while the students with medium EQ had better learning achievement than low EQ. 3)  In scientific MMP, scientific TPS, scientific classical, the students with high EQ had better learning achievement than medium and low EQ, while the students with medium EQ had better learning achievement than low EQ. 4) At the students with high, medium, and low EQ, Scientific MMP provided better learning achievement than scientific TPS and scientific classical, while scientific TPS provided better learning achievement than scientific classical.Keywords: scientific MMP, scientific TPS, scientific Classical, Emotional Quotient,n Achievement
PENGEMBANGAN MODUL MATEMATIKA BERILUSTRASI KOMIK PADA MATERI SKALA DAN PERBANDINGAN KELAS VII SMP/MTs Ariastutik, Endah; Kusmayadi, Tri Atmojo; Sujadi, Imam
Journal of Mathematics and Mathematics Education Vol 6, No 2 (2016): Journal of Mathematics and Mathematics Education
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Abstract

Abstract: This study aims at: 1) investigating elegibility of comic-illustrated mathematics module on the materials of scale and comparison for grade VII students of SMP/MTs, 2) investigating the effectiveness of comic-illustrated mathematics module on the materials of scale and comparison for grade VII students of SMP/MTs. This study was a research and development (R & D) in mathematics learning at SMP/MTs. The applied development model was a development model postulated by Borg and Gall modified by Sukmadinata, which consists of three stages, including: 1) preliminary research, 2) development, and 3) field testing, each of which contains several steps. The product validation process was carried out by material experts, media experts, and respondents. The effectiveness testing for the module carried out in MTs Negeri Ngawi. The data collecting instrument used was the mathematics performance test. The content validity was measured by validators. The reliability test for measuring the test instrument applied KR-20 formula and the discriminatory power used product-moment correlation formula by Karl Pearson. The balance test was carried out by using t-test. The prerequisite tests covered normality test using Lilliefors testing method and homogeneity test using Barttlet method. The experimental design for this research was randomized post-test-only control group design. On the basis of the research findings and development, the research is concluded: 1) the comic-illustrated mathematics module was feasible to be used in learning process, the comic-illustrated mathematics module is considered feasible when the evaluation result from retriever is “good”, 2) the average students learning achievement in experiment class is better than that in control class, this conclusion is in accordance with the hypotheses proposed, namely learning with comic-illustrated mathematics module on the materials of scale and comparison for grade VII of SMP/MTs is more effective than direct learning without comic-illustrated mathematics module.Keywords: Learning Module, Mathematics Comic, Scale and Comparison.

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