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All Journal Pythagoras: Jurnal Matematika dan Pendidikan Matematika Jurnal Kajian dan Terapan Matematika Advance Sustainable Science, Engineering and Technology (ASSET) Jurnal Pendidikan MIPA
Caturiyati Caturiyati
Universitas Negeri Yogyakarta
Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Education Electrical & Electronics Engineering Industrial & Manufacturing Engineering Mathematics

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OPTIMASI MASALAH KNAPSACK 0-1 DENGAN MENGGUNAKAN PEMROGRAMAN DINAMIS Anwar, Zahra Zharifah; Caturiyati, Caturiyati
Jurnal Kajian dan Terapan Matematika Vol 11, No 1 (2025): Jurnal Kajian dan Terapan Matematika (April)
Publisher : Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/jktm.v11i1.22844

Abstract

Optimasi merupakan aspek yang mendasar dalam pengambilan keputusan, di mana tujuannya adalah untuk mengidentifikasi solusi optimal dari sekumpulan alternatif yang kompleks. Contoh masalah sehari-hari yang memerlukan optimasi adalah masalah pemuatan barang (masalah knapsack), yang berdampak langsung pada efisiensi operasi logistik dan pada akhirnya berpengaruh pada biaya operasional. Salah satu variasi utama dalam masalah knapsack adalah masalah knapsack 0-1. Setiap item pada masalah knapsack 0-1 memiliki pilihan untuk dimuat ke dalam knapsack atau tidak. Masalah knapsack 0-1 merupakan masalah optimasi kombinatorial yang paling banyak dipelajari. Sebagai masalah yang tergolong NP-hard, masalah knapsack 0-1 memiliki tingkat kerumitan yang tinggi. Salah satu algoritma penyelesaian masalah knapsack 0-1 adalah pemrograman dinamis.
Fuzzy Logic-Based Clustering of Teacher Digital Pedagogy Using Cybergogy Framework for Sustainable Educational Innovation Waryanto, Nur Hadi; Retnawati, Heri; Setyaningrum, Wahyu; Insani, Nur; Hery Murtianto, Yanuar; Caturiyati, Caturiyati; RR Rianto, Vivi
Advance Sustainable Science Engineering and Technology Vol. 7 No. 3 (2025): May - July
Publisher : Science and Technology Research Centre Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/asset.v7i3.1946

Abstract

Rapid changes in educational technology necessitate innovative approaches to sustainable teacher development. However, implementing learning technologies like Cybergogy faces significant challenges due to imbalances in digital pedagogy competencies and motivation among secondary school mathematics teachers. This study aims to cluster mathematics teachers' profiles based on the Cybergogy model's application using the Fuzzy C-Means (FCM) algorithm. The study involved 88 mathematics teachers from various secondary schools in Yogyakarta, Indonesia. Clustering results converged at the sixth iteration with an objective function value of 620.006, and an optimal two-cluster structure (PCI = 0.5578). Cluster 1 comprises teachers with high digital competencies and effective use of online learning media in understanding Cybergogy. Conversely, Cluster 2 includes teachers with limited online learning experience and low Cybergogy understanding. These findings highlight the lack of appropriate training efforts to support technology implementation and motivate each cluster based on their unique perceptions of Cybergogy. This study contributes to educational technology by offering insights into how the Cybergogy model can enhance digital learning quality, with long-term implications for teacher competency development and the sustainability of digital education innovation in Indonesia.
Microteaching Frequency and the Development of Teaching Skills and Pedagogical Content Knowledge among Prospective Mathematics Teachers Rosnawati, Raden; Wijaya, Ariyadi; Tuharto, Tuharto; Caturiyati, Caturiyati; Santos, Mariano Dos
Jurnal Pendidikan MIPA Vol 26, No 4 (2025): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpmipa.v26i4.pp2124-2138

Abstract

The teaching skills developed by prospective teachers are often repeated in different situations. Therefore, the optimal frequency of microteaching practices may influence both teaching skills and pedagogical content knowledge. This study used a cross-sectional design to compare teaching skills and pedagogical content knowledge among groups based on the frequency of microteaching practices conducted by prospective mathematics teachers. A total of 79 students were randomly selected from three universities in Yogyakarta that implemented microteaching with varying frequencies. These frequencies were classified into four categories: once, twice, three times, and more than three times. Teaching skills were assessed using observation sheets that outlined aspects such as explaining skills, asking questions, providing guidance, providing reinforcement, managing whiteboard use, and regulating body movement (non-verbal cues). Pedagogical content knowledge was measured using a test instrument. Data were analyzed using descriptive statistics and a one-way ANOVA test. The results showed that the frequency of practice has a different impact on teaching skills and pedagogical content knowledge. Prospective teachers who practiced microteaching more than three times significantly differed in their explaining skills, while their providing reinforcement differed significantly from those who practiced at least three times. Conversely, prospective teachers who practiced twice performed similar levels of skill in asking questions, whiteboard management, and regulating body movement compared to those who practiced more frequently. Pedagogical content knowledge of prospective teachers who practiced more than three times was significantly higher than that of those who practiced three or fewer times. These findings suggest that universities should carefully regulate the frequency of microteaching practices to optimize students' teaching skills and pedagogical content knowledge in mathematics education for those who aspire to become effective mathematics teachers. These findings suggest that universities should carefully regulate the frequency of microteaching practices to optimize students' teaching skills and pedagogical content knowledge in mathematics education students who aspire to become effective mathematics teachers.    Keywords: teaching skills, microteaching, mathematics.  
OPTIMASI PERENCANAAN PRODUKSI KONVEKSI ATTARIS SCREENPRINTING MENGGUNAKAN MODEL NON-PREEMPTIVE GOAL PROGRAMMING Rahayu, Sri; Caturiyati, Caturiyati
Jurnal Kajian dan Terapan Matematika Vol 11, No 2 (2025): Jurnal Kajian dan Terapan Matematika (Juli)
Publisher : Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/jktm.v11i2.21730

Abstract

Penelitian ini bertujuan untuk menjelaskan model non-preemptive goal programming dengan pembobotan pada permasalahan optimasi perencanaan produksi konveksi di Attaris Screenprinting. Dalam penyelesaiannya digunakan metode simpleks dan menggunakan bantuan software LINGO 20.0.   Selain itu penelitian ini juga bertujuan untuk mengetahui hasil dari penyelesaian optimasi pada perencanaan produksi konveksi di Attaris Screenprinting menggunakan model non-preemptive goal programming dengan pembobotan. Penelitian ini merupakan studi kasus pada perusahaan konveksi Attaris Screenprinting yang mencakup tujuh macam produk konveksinya yaitu: kaos, kemeja (PDL), hoodie, totebag, kaos polo, rompi kerja, dan topi. Berdasarkan perhitungan yang dilakukan menggunakan bantuan software LINGO 20.0 diperoleh bahwa model dapat memenuhi keseluruhan tujuan yang ingin dicapai rumah produksi. Tujuan tersebut adalah memaksimalkan volume produksi untuk memenuhi permintaan konsumen dengan memproduksi kaos sebanyak 267 pcs, kemeja sebanyak 100 pcs, hoodie sebanyak 37 pcs, totebag sebanyak 91 pcs, kaos polo sebanyak 62 pcs, rompi kerja sebanyak 32 pcs, dan topi sebanyak 20 pcs serta memaksimalkan pendapatan penjualan sebesar Rp48.289.000,00.
Co-Authors Anwar, Zahra Zharifah Aris Wicaksono Ariyadi Wijaya Dian Qurotul Aini Hanik Sri Rahayu Heri Retnawati Hery Murtianto, Yanuar himmawati puji Himmawati Puji Lestari Kadek Deni Candra Kana Hidayati Muhammad Haris Sulthoni Nur Hadi Waryanto Nur Insani Raden Rosnawati RR Rianto, Vivi Santos, Mariano Dos Sesa Tri Lestari SRI RAHAYU Tuharto, Tuharto Wahyu Setyaningrum