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ANALISIS KESALAHAN SISWA BERDASARKAN NEWMAN DAN PEMBERIAN SCAFFOLDING DALAM MENYELESAIKAN SOAL CERITA GARIS SINGGUNG LINGKARAN DI KELAS VIII SMP NEGERI 1 AMAHAI Komul, Marisa; Mataheru, Wilmintjie; Wattimanela, Henry Junus
Sora Journal of Mathematics Education Vol 4 No 2 (2023): Sora Journal of Mathematics Education
Publisher : Program Studi Pendidikan Matematika (Kampus Kab. Maluku Barat Daya) Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/sora.4.2.31-40

Abstract

Analisis Kesalahan Newman (AKN) merupakan suatu proses mereview jawaban siswa guna mengidentifikasi pola-pola ketidakmengertian dengan menggunakan tahap membaca, memahami, tahap transformasi, tahan keterampilan proses, dan tahap penulisan jawaban. Berdasarkan hasil wawancara dengan guru matematika, kesalahan yang sering dibuat siswa adalah menyelesaikan soal cerita terkait garis singgung lingkaran. Siswa sering salah dalam memahami masalah dan mengerjakan sesuai dengan langkah-langkah Newman. Tujuan dari penelitian ini adalah mendeskripsikan kesalahan Newman dan pemberian Scaffolding dalam menyelesaikan soal cerita materi garis singgung lingkaran siswa SMP Negeri 1 Amahai. Penelitian ini menggunakan rancangan penelitian deskriptif-kualitatif. Dalam hal ini, peneliti berperan sebagai instrumen kunci atau utama. Pengumpulan data menggunakan lembar tes, pedoman wawancara, pedoman scaffolding, dan lembar observasi. Dalam penelitian ini, triangulasi sumber data diterapkan untuk mengecek keabsahan data. Hasil tes awal menunjukkan bahwa kesalahan siswa adalah : (tidak menuliskan informasi yang diketahui dan ditanyakan, (b) tidak menuliskan informasi ke dalam pemisalan, (c) tidak tahu/lupa rumus yang harus digunakan, (d) tidak menuliskan jawaban akhir yang merupakan solusi dari soal. Peneliti menganalisis menggunakan analisis kesalahan Newman. Hasilnya menujukkan bahwa siswa melakukan kesalahan pada tahap membaca, memahami, transformasi, keterampilan proses, dan penulisan jawaban. Kesalahan-kesalahan tersebut kemudian diberikan scaffolding berupa penjelasan, mengulas, restrukturasi, dan pengembangan pemikiran konseptual. Kajian dalam penelitian ini masih terbatas, maka perlu adanya kajian yang lebih mendalam dengan semua level scaffolding Anghileri
ANALYSIS OF EARTHQUAKE SEISMICITY IN MALUKU PROVINCE AND ITS SURROUNDING AREAS USING THE MAXIMUM LIKELIHOOD ESTIMATION METHOD Wattimanela, Henry Junus; Setiawan, Adi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 3 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss3pp2179-2190

Abstract

Tectonic earthquakes are natural disasters that occur abruptly over a relatively short period, resulting from the movement of tectonic plates. The Maluku region is classified as prone to seismic activity due to its geographical location at the confluence of three tectonic plates: the Eurasian, Pacific, and Indo-Australian. This study aims to analyze the seismic activity of earthquakes in the Maluku region and its surrounding areas. The methodology employed is based on Descriptive Statistics and Maximum Likelihood Estimation. The data set was obtained from the International Seismological Centre (ISC) and comprises earthquakes occurring in the Maluku region and surrounding areas between 1970-2023. The earthquakes were selected based on the criteria of magnitude > 3.8 Mw and depth < 60 km. The research was facilitated by using various software applications, including Microsoft Excel, SPSS, Matlab, GMT, and Z-map. Descriptive statistics were employed to analyze the hypocenter and epicenter of the earthquake distribution. In contrast, the maximum likelihood method was employed to ascertain the seismicity value and earthquake return period. The findings indicate that the earthquake distribution is relatively dense, except in certain regions within the sea area. The results of the seismicity analysis demonstrate that Sub-region I exhibits the highest level of seismic activity. At the same time, the shortest return period is observed at a magnitude of 3.0 Mw, specifically within Sub-region I.
Simeulue Earthquake Activity Analysis Using the MLE Method Wattimanela, Henry Junus; Puspito, Nanang Tyasbudi; Batkunde, Harmanus
Indonesian Journal of Geography Vol 57, No 1 (2025): Indonesian Journal of Geography
Publisher : Faculty of Geography, Universitas Gadjah Mada

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22146/ijg.91332

Abstract

The territory of Indonesia is prone to a high level of tectonic earthquake vulnerability including In Simeulue Regency, one of the regions of Aceh Province. Therefore, this study aimed to analyze level of tectonic earthquake activity in Simeulue Regency and its surroundings divided into four Sub Regions (I, II, III, and IV). The data used spanned 1940-2020 and were sourced from the ISC with the criteria of the depth being <60km and a magnitude of 3Mw. The seismic features were elucidated through descriptive statistics, while the determination of 'a' and 'b' values for individual Sub Region was accomplished by using the maximum likelihood estimation (MLE) method. The results showed that the highest distribution of earthquakes was at a depth of 15-44.9 km and magnitude at intervals of 3.0-4.9 Mw, specifically in Sub Region III. The largest Mc value was found in Sub Region I, while Sub Region III had high seismic activity and rock heterogeneity. In addition, this area had a large seismicity index and the shortest return period at intervals of magnitude 3.0≤M<4.0. Sub Region I on the other hand had a longer seismicity index at intervals of magnitudes 4.0≤M<5.0,5.0≤M<6.0, and M≥6.0.Received:2023-12-02  Revised:2024-01-11 Accepted:2024-12-07 Published:2025-04-27
EFEKTIVITAS PENERAPAN MODEL PEMBELAJARAN RME DALAM PEMECAHAN MASALAH MATEMATIS MATERI KELILING DAN LUAS LINGKARAN SISWA SD ALHILAAL NAMSINA DAN SD NEGERI 1 WAPLAU, KABUPATEN BURU Buton, La Alim; Ratumanan, Tanwey Gerson; Wattimanela, Henry Junus
Jurnal Magister Pendidikan Matematika (JUMADIKA) Vol 7 No 1 (2025): Jurnal Magister Pendidikan Matematika (JUMADIKA)
Publisher : Prodi Magister Pendidikan Matematika Pascasarjana Universitas Pattimura Ambon

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/jumadikavol7iss1year2025page143-148

Abstract

Penelitian ini bertujuan untuk menguji pengaruh model pembelajaran Realistic Mathematics Education (RME) terhadap pemecahan masalah matematika pada materi luas dan keliling lingkaran. Metode penelitian yang digunakan adalah pretest-posttest dengan kelas eksperimen yang menggunakan model pembelajaran RME dan kelas kontrol yang menggunakan model pembelajaran konvensional. Analisis deskriptif dilakukan terhadap hasil pretest dan posttest dari kedua kelas. Berdasarkan hasil analisis, atau hasil pretest kelas eksperimen memiliki nilai minimum 27, maksimum 65, rata-rata 49.72, dan standar deviasi 9.815. Hasil posttest kelas eksperimen memiliki nilai minimum 48, nilai maksimum 95, nilai rata-rata 76.72, dan standar deviasi 13.446. Hasil pretest kelas kontrol memiliki nilai minimum 25, maksimum 65, rata-rata 39.94, dan standar deviasi 10.602. Hasil posttest kelas kontrol memiliki nilai minimum 35, maksimum 86, rata-rata 60.89, dan standar deviasi 15.556. Hasil uji normalitas menunjukkan bahwa data dari kedua kelas berdistribusi normal. Uji paired sample t-test menunjukkan adanya perbedaan yang signifikan antara hasil belajar siswa sebelum dan sesudah mengikuti model pembelajaran, baik pada kelas eksperimen maupun kelas kontrol. Hasil uji independent sample t-test menunjukkan adanya perbedaan yang signifikan antara hasil belajar siswa antara kelas eksperimen dengan kelas kontrol. Hasil belajar siswa pada kelas eksperimen dengan model pembelajaran RME mengalami peningkatan yang lebih signifikan dibandingkan dengan kelas kontrol yang menggunakan model pembelajaran konvensional. Dengan demikian, dapat disimpulkan bahwa model pembelajaran RME efektif dalam meningkatkan hasil belajar siswa pada materi luas dan keliling lingkaran dibandingkan dengan model pembelajaran konvensional.
SIFAT-SIFAT DAN KEJADIAN KHUSUS DISTRIBUSI GAMMA Warella, Royke Yohanes; Wattimanela, Henry Junus; Ilwaru, Venn Yan Ishak
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 1 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (559.319 KB) | DOI: 10.30598/barekengvol15iss1pp047-058

Abstract

The gamma distribution is one of special continuous random variable distribution with scale parameter and shape parameter where is positive real numbers. On some conditions the gamma distribution astablishes other continuous distributions which are then called special cases of the gamma distribution. Therefore, this study was conducted to determine the properties of gamma distribution and the characteristics of the special cases of gamma distribution by analyzed the theories from literatures. The properties of gamma distribution include expectation value, variance, moment generating function, characteristic function, and estimation of gamma distribution parameters with the moment method to earn the special cases of the gamma distribution are Erlang, exponential, chi-square, and beta distributions.
ANALYZING EARTHQUAKE ACTIVITY LEVELS IN NORTH SULAWESI USING MAXIMUM LIKELIHOOD METHOD AND GUTENBERG – RICHTER LAW Wattimanela, Henry Junus
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss2pp0827-0836

Abstract

Tectonic earthquakes are disasters that often cause damage to buildings and loss of life. The Province of North Sulawesi and its surroundings are earthquake-prone areas because they are located at the confluence of the major plates. This study aims to analyze the level of earthquake activity in the Province of North Sulawesi and its surroundings using the maximum likelihood method and the Guttenberg-Richter law. The distribution of the earthquake studied for the period 1941-2021 in the Province of North Sulawesi and its surroundings with a Mag ≥3.0 Mw and a depth ≤60 km. The data used comes from the Meteorological, Climatological, and Geophysical Agency Indonesia and ISC (International Seismological Center). The level of earthquake activity was reviewed based on nine groups of year intervals, three groups of depth levels, and the overall research area. The results show that the level of earthquake activity, rock fragility, and local stress at certain year intervals is sometimes high or low for the 1941-2021 earthquake period in North Sulawesi and its surroundings. The same condition for certain earthquake depths. On the other hand, the level of earthquake activity is quite high and the level of rock fragility is moderate in the research area as a whole.
K-MEANS AND AGGLOMERATIVE HIERARCHY CLUSTERING ANALYSIS ON THE STAINLESS STEEL CORROSION PROBLEM Afrianti, Yuli Sri; Pasaribu, Udjianna Sekteria; Sulaiman, Fadhil Hanif; Angelia, Grace; Wattimanela, Henry Junus
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 1 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss1pp0589-0602

Abstract

Stainless Steel (SS) is a material that is widely used in various fields because it is resistant to corrosion. However, if SS is exposed to heat at high temperatures for a long period of time, a sigma phase, namely the Fe-Cr compound, will form, which indicates that corrosion has begun. The appearance of this corrosion can be detected through color changes on the SS surface, ranging from light brown to dark blue. Corrosion events will be observed through the distribution of color on the sample surface at the location selected through the SS microstructure image. Cluster analysis will be used to group the colors on the surface of the SS sample through the images used. The results of cluster analysis can be used to identify SS color which indicates the appearance of corrosion in the sample. In this research, we will examine the determination of many clusters for K-Means and Agglomerative Hierarchy with Ward's Criterion, Single, Average, and Complete Linkages. In addition, the model quality measure was tested with Silhouette Coeficient. Single linkage gives the worst results because it gives the impression that only one dominant color appears so it can be said that it is unable to distribute each color to the specified cluster. Likewise with Average because the number of clusters cannot be determined with certainty. On the other hand, the K-Means results are similar to Ward's results, this is reasonable because the basic idea of both is to find the minimum distance between each object and its center, in this case the average is used as the measure of the center, while the results that are most similar to the original image are clustering uses complete linkage. These results can be used as recommendations for academics and practitioners in the fields of Statistics, Mathematics and Materials Engineering in the subsequent analysis process to solve SS corrosion problems.
Rainfall Characteristic and Prediction in Central Maluku Using Markov Chain Kais, Siti Djasmin; Tentua, Gilldo; Waas, Valencia; Potimau, Grace A.; Soulisa, Jihan A. S.; Wattimanela, Henry Junus
Parameter: Jurnal Matematika, Statistika dan Terapannya Vol 4 No 2 (2025): Parameter: Jurnal Matematika, Statistika dan Terapannya
Publisher : Jurusan Matematika FMIPA Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/parameterv4i2pp369-380

Abstract

This study analyzes rainfall characteristics in Central Maluku Regency using Markov Chain methodology to model stochastic rainfall patterns. Monthly rainfall data from 2015-2024 were categorized into dry (<100 mm), normal (100-200 mm), and wet (>200 mm) conditions and processed using Microsoft Excel and R software. Results show rainfall conditions stabilize with long-term probabilities of 44.25% for wet, 32.89% for normal, and 22.87% for dry conditions. The system reaches steady state in 19 months, with 2025 predictions following this distribution. Findings support agricultural planning, disaster mitigation, and sustainable resource management in this climate-vulnerable archipelagic region.
Disaster Mitigation Strategies to Enhance Community Preparedness for Earthquake Hazards in Liang Village, Salahutu District, Central Maluku Wattimanela, Henry Junus; Elake, Alexander Yosep; Eka, Eka
REKA ELKOMIKA: Jurnal Pengabdian kepada Masyarakat Vol 6, No 3 (2025): Reka Elkomika
Publisher : Institut Teknologi Nasional, Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26760/rekaelkomika.v6i3.269-281

Abstract

The initiative to promote earthquake disaster mitigation strategies in Liang Village is designed to enhance the community's awareness and readiness in the face of potential earthquakes. This effort is crucial due to Maluku's earthquake-prone geographical characteristics, underscoring the need to equip residents with essential knowledge and mitigation skills. The approach includes socialization, engaging discussions, and training in using basic technologies like the Avenza Maps and INATEW. Residents from various hamlets participated, with support from the Maluku Provincial BPBD. The outcomes reveal a notable improvement in participants' comprehension, as shown by the increase in pretest and posttest scores. Furthermore, the community's active involvement in establishing disaster preparedness groups reflects heightened collective awareness. The use of simple technology also enhances residents' capability to map their surroundings. This initiative has effectively become an educational, practical, and innovative model for community-based disaster risk reduction.