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HIMPUNAN DOMINASI TERKENDALI GRAF HASIL OPERASI AMALGAMASI TITIK DAN SISI PADA GRAF SIKLUS BERORDE SAMA
Full text linkTeori graf merupakan salah satu ilmu terapan matematika yang hingga kini terus dikembangkan. Salah satu konsep yang dipelajari dalam teori graf adalah himpunan dominasi terkendali yang bertujuan untuk menentukan bilangan dominasi terkendali graf hasil operasi amalgamasi titik dan sisi pada graf siklus berorde sama, atau (að‘šð‘Žð‘™(,,)) dan (að‘šð‘Žð‘™(,,,)). Penelitian ini menggunakan metode pembuktian dengan memanfaatkan teorema yang telah ada, yaitu teorema bilangan dominasi terkendali pada graf siklus dan teorema batas atas dan batas bawah bilangan dominasi terkendali. Adapun hasil yang diperoleh, yaitu: untuk, dan untuk dimana , dan untukdimana
DESAIN MODUL MATEMATIKA BILINGUAL (INDONESIA-ARAB): PENGEMBANGAN MODUL KOMPETISI SAINS MADRASAH (KSM) MATEMATIKA TERINTEGRASI
Full text linkThis research aims to develop a bilingual mathematics module for KSM in the field of integrated mathematics. The research method uses the Research and Development (RnD) method of the Borg and Gall model which is simplified in 4 stages, namely introduction, development, testing and dissemination. The results of the development of a bilingual (Indonesian-Arabic) mathematics module at KSM are suitable for use. The validation results from media experts have an average value of 3.69 and are in the suitable category for use. Media expert validation has an average value of 3.70 and is in the category suitable for use. The validation results by practitioners have an average value of 3.62 and are in the suitable category for use. Trials by subject teachers had an average score of 3.71 and were in the very interesting category. The individual trials had an average score of 3.61 and were in the very interesting category. Small group trials in each madrasah had an average score of 3.83 and were in the very interesting category and large group trials had an average score of 3.74 and were in the very interesting category. The final stage is dissemination carried out by distributing bilingual mathematics module books
ANALISIS BERPIKIR LOGIS SISWA SMP PADA POKOK BAHASAN ARITMATIKA SOSIAL BERDASARKAN TIPE KEPRIBADIAN KEIRSEY (GUARDIAN DAN ARTISAN)
Full text linkTujuan dari penelitian ini yaitu mendeskripsikan berpikir logis siswa kelas VII A, VII B, dan VII C di SMP Muhammadiyah 9 Watukebo, Kabupaten Jember. Jenis penelitian ini menggunakan deskriptif kualitatif. Teknik pengumpulan data menggunakan tes MBTI, tes tulis berpikir logis serta wawancara semi terstruktur. Peneliti menggunakan subjek pada siswa kelas VII A, VII B dan VII C berlokasi di SMP Muhammadiyah 9 Watukebo. Data subjek diperoleh 2 jenis kepribadian berdasarkan tipe kepribadian Keirsey meliputi, tipe kepribadian Guardian dan tipe kepribadian Artisan. Berdasarkan dua kepribadian tersebut kemudian dianalis berpikir logis siswa yang termuat dalam 3 indikator yaitu indikator pertama mengenai keruntutan berpikir meliputi menyebutkan keseluruhan informasi yang disajikan dalam soal serta menyebutkan langkah secara umum yang digunakan untuk penyelesaian. Indikator kedua adalah kemampuan berargumen yang meliputi mengungkapkan alasan logis menggunakan langkah secara umum yang digunakan untuk penyelesaian, dapat menyelesaikan secara tepat disertai argumen dalam tiap langkah-langkahnya dan mengungkapkan alasan logis diperolehnya jawaban akhir yang tepat. Indikator ketiga adalah penarikan kesimpulan yang meliputi dapat memberikan kesimpulan yang tepat terhadap jawaban akhir yang tepat.
Kata Kunci: Berpikir Logis, Tipe Kepribadian Keirsey, Guardian, Artisan, Aritmatika Sosia
PENERAPAN RME BERBASIS BUDAYA PEKALONGAN TERHADAP KEMAMPUAN PEMAHAMAN KONSEP MAHASISWA PADA MATA KULIAH STATISTIK
Full text linkMultivariate Statistics and Educational Research Statistics courses are useful courses for students, so students need the ability to understand concepts in mastering statistical material. This research aims to determine the average ability of students to understand concepts in Multivariate Statistics and Educational Research Statistics courses by implementing the RME approach based on Pekalongan culture. This research is quantitative research with the form of an experimental design, namely quasi experimental design. The subjects in the research consisted of 15 students taking Multivariate Statistics and Educational Research Statistics courses at the Mathematics Education Study Program, Pekalongan University. The data collection technique was carried out by testing the ability to understand concepts accompanied by problems in the cultural context of Pekalongan. The data analysis technique was carried out using multivariate analysis using the Hotelling's Trace test (T2 Hotelling), with a prerequisite test in the form of a multivariate normality test. The results of the research show that the average students' conceptual understanding ability in the Multivariate Statistics and Educational Research Statistics courses can reach a score of 70. If we look at the results obtained, the average conceptual understanding ability in the Multivariate Statistics and Educational Research Statistics courses is 80 and 85,333. These results indicate that the implementation of learning using the RME approach based on Pekalongan culture is effective in students' ability to understand concepts
The Analysis of Student Errors in Solving Flat Shape Problems
No full textThe purpose of this study is to describe the mistakes of class VII A students at SMP Negeri 2 Genteng, Banyuwangi Regency. This type of research uses descriptive qualitative. This type of research uses descriptive qualitative. Data collection techniques used written tests and semi-structured interviews. The subject of this research was class VII A students located at Genteng 2 Public Middle School. Subject data obtained 3 types of errors based on castor theory including conceptual errors, procedural errors, and technical errors. Conceptual errors include not writing formulas and symbols, writing formulas and symbols incorrectly. Procedural errors include, not writing down known, asked, or conclusions, wrongly writing down information known to the problem, unclear writing down the information asked, wrongly writing down the steps for solving the problem, not writing down the solution step at all. Technical errors include, not writing units in numbers that have units or answers, not writing units in the final answer, wrong writing units in numbers that should have units or answers, wrong writing units in the final answer, and wrong doing arithmetic operation
COMPARISON BETWEEN PROPORTIONAL INTEGRAL DERIVATIVE (PID) AND MODEL PREDICTIVE CONTROL (MPC) FOR SHIP HEADING CONTROL
Full text linkIn this paper discussed about ship heading control problem. Ship heading control is one of the ship control problem in the application in the marine field. With rudder angle as input control, the heading angle controlled therefore it can reach reference heading angle with minimum energy. Assume that is wave disturbance to the system. We compare two method for control the heading angle, that is Proportional Integral Derivative (PID) and Model Predictive Control (MPC). Proportional Integral Derivative (PID) is a controller that determine the presition of an instrumentation system with feedback characteristic on the system. MPC is a control technique, which embeds optimization within feedback to deal with systems subject to constraints on inputs and states. From the simulation result, MPC can compansate the disturbance better than PID. The time to reach reference angle when controlled using MPC faster than using PID. The change value of Np also almost give same result. But the change parameter PID can give very difference result seen from the rise time, the settling time, and the overshoot
PENGGUNAAN LANGKAH POLYA UNTUK MENGANALISIS KEMAMPUAN PEMECAHAN MASALAH DI SEKOLAH DASAR
Full text linkStudents' abilities to solve mathematical problems are still limited, and they are not yet familiar with the topics being covered. The purpose of this study is to characterize students' abilities to resolve mathematical problems, particularly those involving geometry, according to the Polya progression. Research plan utilizing a qualitative approach with 40 students from Grade V at the State Primary School in Bireuen, Indonesia.Problem solving is seen as the crowning achievement of mathematics education since it focuses on developing students' reasoning and problem-solving skills in addition to their conceptual understanding. Students can apply their newfound knowledge and problem-solving skills in their day-to-day lives. The problem-solving process consists of four steps: identifying the issue, formulating a plan to address it, implementing that plan, and conducting follow-up evaluation. Therefore, the ability to create non-routine assignments and the creativity to transform routine text-book assignments into non-routine ones, as well as the ability to develop problem-solving instructional materials for use by students during instruction, are both necessary
UPAYA MENGEMBANGKAN POTENSI GURU DALAM MENGAJAR DI SDN LENGKONG 01 MUMBULSARI JEMBER DENGAN PENERAPAN SUPERVISI AKADEMIK MELALUI KEGIATAN WORKSHOP PADA SEMESTER GENAP TAHUN 2021/2022
Full text linkThe purpose of this research is to find out about the extent of mastery of teacher competence with the application of academic supervision through workshop activities. The research location is at SDN Lengkong 01, Mumbulsari District, Jember District, even semester of the 2021/2022 academic year. This research method uses school action research by performing two actions in three cycles. Each cycle consists of four stages, namely action planning, action implementation, observation of action results, and reflection. Data collection using documentation, observation, and interviews. Data collection tools with teacher personal record documents, observation sheets, and interview sheets. Data analysis uses comparative descriptive followed reflection. The results showed that through academic supervision can optimize the quality of teacher competence as shown by an average increase from cycle I 2.07 (category less / not good), and after academic supervision in groups in cycle II the average to 3.36 with the category quite good, and after academic supervision individually in cycle III the average to 4.28 with the category of very good (almost perfect)
Aplikasi Teori Dominasi Jarak Satu Pada Penempatan SPBU Di Kabupaten Jember
Full text linkMany Public Gas Stations (SPBU) in Jember Regency has an impact on the inefficiency of Jember Regency area which should be used for other developments which also benefit the community. Therefore, this research useful to investigate the dominating number of one distance in the shackle operation graph that is shackle (), and the placement of SPBU in Jember Regency so that its placement can reach all areas of Jember Regency. This research uses axiomatic deductive method and pattern detection, which determine the dominating sets in a way that the minimum cardinality is found and produces new theorems that have been deductively proven so the truth is generally valid
JAMI' DARUL MUTAQQIM MOSQUE: ETHNOMATHEMATICS EXPLORATORY
Full text linkThe purpose of this research is to explore the concepts contained in the building of the Jami' Darul Mutaqqim Mosque and identify learning resources for ethnomathematics of it according to the subjects, materials, and basic competencies of students based on the Revised 2013 Curriculum. This study uses a qualitative method with an ethnographic approach. Research using ethnography attempts to describe, explain, and analyze all elements of culture that exist in society. This research is collecting data using deep observation and documentation, also analyzing across the curriculum. Based on the results and discussion, it can be concluded that there are ethnomathematical values in the Jami' Darul Mutaqqim Mosque. Ethnomathematics appears in the shape of the parts of the mosque building. The parts of the mosque are 1) the adzan tower; 2) the mosque roof; 3) the main prayer room (liwan); 4) the mihrab; and 5) the porch. The mathematical concepts found are number, number operation, three and two-dimensional shape, geometry transformational, and integral. Variations, according to D'Ambrosio, are counting, measuring, and classifying. The Jami' Darul Mutaqqim Mosque has elements of mathematics that can be used as a reference in the development of teaching materials in schools