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Annals of Mathematical Modeling
Published by Research and Social Study Institute
ISSN : -     EISSN : 27157822     DOI : https://doi.org/10.33292/amm
Core Subject : Science, Education,
Computer Science & IT Mathematics
Annals of Mathematical Modeling is a peer-reviewed open-access journal that publishes educational research articles in mathematics education. Every submitted manuscript will be reviewed by at least two peer-reviewers using the double-blind review method. This journal is published biannually
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 25 Documents
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Peningkatan minat belajar matematika dengan menerapkan model pembelajaran kooperatif tipe problem-based learning Agung Widayat
Annals of Mathematical Modeling Vol. 1 No. 1 (2021)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (245.12 KB) | DOI: 10.33292/amm.v1i1.1

Abstract

Tujuan penelitian ini adalah (1) Mendeskripsikan minat belajar Matematika para peserta didik yang diajar dengan model pembelajaran kooperatif tipe Problem-based learning di MAN Kebumen 2 kelas XII IPA, (2) Mendeskripsikan penerapan model pembelajaran kooperatif tipe problem-based learning yang benar/tepat dalam pembelajaran Matematika para peserta didik kelas XII IPA MAN Kebumen 2 yang dapat meningkatkan minat belajar (3) mendeskripsikan kelebihan dan kelemahan model pembelajaran kooperatif Problem-based learning dalam meningkatkan minat belajar siswa kelas XII IPA MAN 2 Kebumen, (4) mendeskripsikan hasil analisis efektivitas penerapan pendekatan model pembelajaran kooperatif problem-based learning dalam meningkatkan minat belajar matematika siswa kelas XII IPA MAN 2 Kebumen. Jenis penelitian ini adalah penelitian tindakan kelas sebanyak dua siklus. Setiap siklus terdiri dari perencanaan, pelaksanaan, pengamatan, dan refleksi. Subyek dari penelitian ini adalah siswa kelas XII IPA -2 MAN 2 Kebumen tahun 2017/2018. Data yang diperoleh dari instrumen minat belajar dan data observasi di kelas. Hasil penelitian menunjukkan, bahwa penerapan pembelajaran kooperatif Problem-based learning dapat meningkatkan minat belajar matematika. Minat belajar yang dicapai siswa meningkat, pada siklus I 20,59% meningkat pada siklus II menjadi 79,41%.
Keefektifan teams games tournament dan make a macth dalam meningkatkan hasil belajar matematika Anita Nurwidia; Samsi Haryanto; Mulyoto
Annals of Mathematical Modeling Vol. 1 No. 1 (2021)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (251.702 KB) | DOI: 10.33292/amm.v1i1.2

Abstract

Tujuan penelitian ini adalah (1) Untuk mengetahui perbedaan pengaruh penerapan model Teams Games Tournament dan Make A Macth terhadap hasil belajar Matematika; (2) Untuk mengetahui perbedaan pengaruh siswa yang memiliki aktivitas tinggi dengan siswa yang memiliki aktivitas rendah terhadap hasil belajar Matematika; dan (3) Untuk mengetahui interaksi pengaruh model Teams Games Tournament dan Make A Macth dengan aktivitas belajar tinggi dan rendah terhadap hasil belajar Matematika. Penelitian ini merupakan penelitian ekspererimen. Teknik pengumpulan data menggunakan kuesioner dan soal tes pilihan ganda. Analisis data yang digunakan adalah analisis varians dua jalan. Hasil penelitian menunjukkan: (1) Terdapat perbedaan pengaruh model Teams Games Tournament dan Make A Macth terhadap hasil belajar Matematika (2) Terdapat perbedaan pengaruh siswa yang memiliki aktivitas tinggi dan rendah terhadap hasil belajar Matematika. (3) Tidak terdapat interaksi pengaruh model Teams Games Tournament dan Make A Macth dengan aktivitas belajar tinggi dan rendah terhadap hasil belajar Matematika.
Pengaruh kedisiplinan, perhatian orang tua dan jumlah saudara terhadap prestasi belajar matematika Eko Budiono
Annals of Mathematical Modeling Vol. 1 No. 1 (2021)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (246.737 KB) | DOI: 10.33292/amm.v1i1.3

Abstract

Penelitian bertujuan untuk mengetahui: (1) pengaruh kedisiplinan siswa terhadap prestasi belajar Matematika, (2) pengaruh perhatian orang tua terhadap prestasi belajar matematika, (3) pengaruh jumlah saudara terhadap prestasi belajar matematika siswa, (4) pengaruh kedisiplinan, perhatian orang tua dan jumlah saudara terhadap prestasi belajar matematika siswa kelas XII SMK Taman Karya Kabupaten Purworejo Penelitian ini menggunakan pendekatan kuantitatif. Populasi adalah siswa kelas XII SMK TKM Teknik Tamansiswa di Kabupaten Purworejo berjumlah 360 siswa. Sampel diambil dengan teknik proportional random sampling dan terpilih sampel 158 siswa. Pengumpulan data menggunakan angket, sebelumnya dilakukan uji validitas dan reliabilitas. Analisis data menggunakan analisis deskriptif, pengujian prasyarat analisis. Pengujian hipotesis menggunakan teknik product moment dan regresi linier. Hasil penelitian (1) terdapat pengaruh positif yang signifikan antara variabel kedisiplinan siswa terhadap prestasi belajar matematika pada siswa SMK TKM Teknik Tamansiswa Purworejo. (2) terdapat pengaruh positif yang signifikan antara perhatian orang tua terhadap prestasi belajar matematika pada siswa SMK TKM Teknik Tamansiswa Purworejo. (3) terdapat negatif yang signifikan antara jumlah saudara terhadap prestasi belajar matematika pada siswa SMK TKM Teknik Tamansiswa Purworejo (4) terdapat pengaruh positif yang signifikan antara kedisplinan siswa perhatian orang tua dan jumlah saudara terhadap prestasi belajar matematika pada siswa SMK TKM Teknik Tamansiswa Purworejo. Besarnya todal sumbangan efektif variabel bebas adalah 65,5 % meliputi kedisiplinan siswa 43,7 %, perhatian orang tua 32,3 % dan jumlah saudara -10,5 %. Sumbangan relatif kedisiplinan siswa 66,7 %, perhatian orang tua 49,3 % dan jumlah saudara – 16,0 % sehingga total adalah 100 %.
Model pembelajaran cooperatif learning tipe STAD dalam pelajaran matematika untuk meningkatan motivasi dan prestasi belajar Hayati
Annals of Mathematical Modeling Vol. 1 No. 1 (2021)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (280.578 KB) | DOI: 10.33292/amm.v1i1.4

Abstract

Penelitian ini bertujuan untuk mengetahui efektifitas model pembelajaran Kooperatif Tipe Student Teams Achievement Divisions (Stad) dalam meningkatkan motivasi dan prestasi belajar matematika di SDN Niten Tahun pelajaran 2017/2018. Jenis penelitian ini adalah penelitian Tindakan Kelas (PTK). Hasil penelitian menunjukkan bahwa peningkatan motivasi belajar peserta didik terhadap mata pelajaran matematika terlihat dari meningkatnya skor, dari 95 % siklus I ke 100% siklus II. Peningkatan prestasi belajar terlihat dari hasil post tes yaitu nilai rata-rata di atas KKM 75, pada siklus I 86,6 dan siklus II 82,45. Ketuntasan pada siklus I 90 % dan pada siklus II 80 %.Proses pembelajaran matematika dengan melalui penerapan model pembelajaran kooperatif learning tipe STAD terbukti dapat meningkatkan motivasi belajar,dan prestasi belajar peserta didik kelas VI SD Negeri Niten tahun Pelajaran 2017/2018.
Pengaruh problem-based learning berbasis etnomatematika Rejang Lebong terhadap kemampuan berpikir kritis siswa SMA Sarwoedi; Wahyu Widada; Dewi Herawaty
Annals of Mathematical Modeling Vol. 1 No. 1 (2021)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (231.996 KB) | DOI: 10.33292/amm.v1i1.5

Abstract

Penelitian ini bertujuan untuk mengetahui pengaruh problem based learning (PBL) berbasis etnomatematika Rejang Lebong terhadap Kemampuan Berpikir Kritis dan Pemecahan Masalah Siswa SMA Negeri Rejang Lebong. Penelitian ini adalah penelitian eksperimen semu. Populasi dalam penelitian ini adalah seluruh siswa kelas X SMA negeri 10 Lejang Lebong dengan sampel 4 kelas. Instrumen yang dalam penelitian ini adalah tes kemampuan berpikir kritis. Dari hasil penelitian dapat disimpulkan bahwa terdapat pengaruh kemampuan awal siswa, model pembelajaran dan orientasi materi trigonometri secara bersama-sama terhadap kemampuan berpikir kritis yaitu dengan pengaruh sebesar 61,6%.
Generalized power law model of blood flow in a stenosed bifurcated artery Muhammad Sabaruddin Ahmad Jamali; Zuhaila Ismail
Annals of Mathematical Modeling Vol. 1 No. 2 (2021)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (926.637 KB) | DOI: 10.33292/amm.v1i2.6

Abstract

Stenosis is a blockage caused by atherosclerosis literally lead to serious circulatory complaints, by narrowing the vessel wall and causing an alternation in the flow structure which consequently reduced the fluid flow passing to the other organs and tissues. This study, the geometry of the bifurcated is considered with presence of stenosis at mother and daughter artery. The blood vessel is modelled as a two-dimensional (2D) rigid wall since the wall of a disease artery is reported to be less compliant. The blood will be assumed as incompressible, laminar, steady and characterized as the generalized power-law model. Simulation result is obtained by using COMSOL Multiphysics 5.2, a software based on the FEM to solve the problem. Results concerning the effect of different blood rheology and severity of stenosis on the streamlines pattern are discussed.
Effectiveness of problem posing and investigation in terms of problem solving abilities, motivation and achievement in mathematics Arifah Muzayyanah; Dhoriva Urwatul Wutsqa
Annals of Mathematical Modeling Vol. 1 No. 2 (2021)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (450.479 KB) | DOI: 10.33292/amm.v1i2.7

Abstract

The study aims at describing the comparison between the Problem-Posing Approach and the Investigation Approach in terms of effectiveness from the perspective of Mathematical Problem-Solving Skills, mathematical motivation and Mathematical Learning Achievements. The nature of the study is a quasi-experimental research. During the conduct of the study, the overall number of populations was 206 students from Grade VII of the State 2 Junior High School Gamping. The samples within the study were selected randomly from the population namely 32 students from Grade VII A and 34 students from Grade VII B. Then, the instrument that had been administered within the conduct of the study was the Mathematical Problem-Solving Skills Test, the Mathematical Learning Achievement Test and the Mathematical Learning Motivation Questionnaire. After the data had been gathered, the overall data were analysed by using the one-sample t-test, the T2 Hotteling’s Test and the independent sample t-test. The results of the study show that the learning process by means of Investigation Approach has been more effective in comparison to Problem-Posing Approach from the perspective of Mathematical Problem-Solving Skills and Mathematical Learning Achievement but, on the other hand, the results of the study also show that the learning process by means of Problem-Posing Approach has been more effective in comparison to Investigation Approach from the perspective of Mathematical Learning Motivation for the Grade VII students of the State 2 Junior High School Gamping.
Error analysis for grade IX students in completing the materials of quadratic equation Ika Firmaningsih Dian Prima Sari; Jailani Jailani
Annals of Mathematical Modeling Vol. 1 No. 2 (2021)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (402.957 KB) | DOI: 10.33292/amm.v1i2.8

Abstract

The objective of the study is to discover: (1) types of errors that the students have committed; (2) the obstacles that the students have dealt with; and (3) the size of the errors that the students have committed. The nature of the study is qualitative and quantitative research. Then, within the conduct of the study the research site was the Angkasa Adisucipto Junior High School located in Janti Street, Adisucipto Air Base, Caturtunggal, Depok, Yogyakarta. The subjects within the study were the students from Grade IX A, Grade IX B and Grade IX C from the Angkasa Adiscucipto Junior High School Yogyakarta. The data were gathered by using test administration, questionnaire distribution and documentation study. Then, the instruments that had been implemented within the conduct of the study were the essay test instrument and the question- naire. The results of the study show that the errors that the Grade IX students from Angkasa Adisucipto Junior High School in completing the materials of Quadratic Equation from the perspective of concept understanding are namely: (1) the students have not correctly formulat- ed the mathematical concepts by using the appropriate symbol or language; (2) the students have committed errors in composing the theorem or formula (whereas it has not been demand- ed in the test items); (3) the students have committed errors in composing the ABC formula when they are completing the test items; and (4) the students have not composed the theorem or the formula for completing the test items. Then, the five biggest obstacles in learning the materials of Quadratic Equation are namely: (1) classroom (64.06%); (2) students’ capacity (46.25%); (3) material delivery (30.07%); (4) students’ attitude and interest toward the materials of Quadratic Equation (29.24%); and (5) students’ motivation (25.78%).
Unsteady MHD free convective flow past a vertical plate: An automated solution approach Nor Raihan Mohamad Asimoni; Nurul Farahain Mohammad; Abdul Rahman Mohd Kasim
Annals of Mathematical Modeling Vol. 1 No. 2 (2021)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (441.092 KB) | DOI: 10.33292/amm.v1i2.9

Abstract

The case of unsteady two-dimensional laminar free convection flow over a vertical plate by an incompressible viscous fluid is analysed in the presence of uniform magnetic field perpendicular to the flow. The governing equations in a vector form are transformed into non- dimensional form. Then, the dimensionless equations are solved using automated solution technique which is FEniCS. The effects of magnetic parameter on the velocity and temperature profiles are obtained and discussed in this paper
A productive exposition for the thermal post buckling problem of orthotropic circular plates by using relevant admissible function for lateral displacement Anju V Nair; Abdul Rahman Mohd Kasim; Mohd Zuki Salleh
Annals of Mathematical Modeling Vol. 1 No. 2 (2021)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (588.951 KB) | DOI: 10.33292/amm.v1i2.10

Abstract

A suitable mathematical formulation is used to study the thermal post buckling problem of orthotropic circular plates is presented herein. The total energy equation is reduced by assuming algebraic function for lateral displacement w. The radial tension per unit length is calculated by substituting the value of orthotropic parameter under simply supported and clamped boundary conditions. The thermal post buckling load carrying capacity of the plate is evaluated using integrated average for various values of orthotropic parameter β, and the numerical results obtained from the present investigation are compared with the results obtained from the known literatures. The results obtained for both cases are concurs well with reference values and the numerical results using integrated average shows more accurate values for the post buckling load.

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