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Penggunaan Edukasi Deret untuk Menyelesaikan Persamaan Diferensial Linear Orde Dua
Full text linkDifferential equations are one of the compulsory subjects at state universities, especially in the mathematics education department. It is hoped that students can hone their skills to analyze, model, solve, and apply the theory they have learned to advanced theory. One of the second-order Linear Differential Equations challenging to solve is the second-order Linear Differential Equations with indeterminate coefficients. This equation is necessary to study because it has many applications in mathematics. This study examines the use of series education to solve second-order Linear Differential Equations, especially with indeterminate coefficients. The data were from calculus manuals and mathematicians in calculus. The research applied design research with the product of steps to solve the use of series reduction to solve second-order linear differential equations. The data were obtained through books, journals, and direct conversations with mathematicians in calculus and analyzed using the Milles and Huberman models and theoretical triangulation for the validity of the data. The achievement of this research is a second-order linear differential equation with an indeterminate coefficient that can be solved with a series, namely the Airy, Hermite, Chebyshev, Legendre, Bessel, Leguerre, and Gauss hypergeometric equations. These research findings can be used as input for mathematics teachers or students as an alternative work
Identifikasi Kesulitan Siswa dalam Menyelesaikan Soal pada Materi Program Linier di SMA
Full text linkLinear programming material should be mastered well by students because many everyday problems can basically be solved using the concept of linear programming. However, many students find it difficult to understand the concept of solving problems in determining the optimum value of the objective function on linear programming. The purpose of this study was to determine the identification of Year 11 students' difficulties in solving linear program questions. The research subjects were Year 6 students, selected based on students' ability to solve problems. The results of this study indicate that the difficulty of the concept lies in the students' errors in determining the intersection point in the inequality, and determining the maximum and minimum values on linear programming problems. The principle difficulty lies in the students in determining the sign of the known inequalities, and the errors in solving problems using the elimination and substitution methods. In skill difficulties, the student's error lies in operating the values contained in the questions. Those difficulties led to incorrect answers
Penerapan Realistic Mathematics Education (RME) pada Materi Sistem Persamaan Linear Dua Variabel (SPLDV)
Full text linkRealistic Mathematics Education (RME) is an approach designed to help students improve their creative and higher order thinking skills. The RME approach has the following characteristics: (1) providing contextual problems, (2) providing opportunities to solve problems independently, (3) displaying interactions (opinion), (4) discussing answers, and (5) concluding the results of the discussion. The low learning outcomes of students are a problem in this study because learning is centered on educators, so students are not given the opportunity and are passive. This research examined the mastery of students' learning through RME on Linear Equation with Two Variables in Year 8. The method used is a pre-experimental, one-shot case study with a quantitative approach. The sample was selected using purposive sampling in one class in one of the junior high schools in Banda Aceh, Indonesia. Data were collected through a test administered after learning with RME. The data were then analyzed by t-test. The results indicate that students' learning outcomes achieve the minimum criteria of mastery learning
Kemampuan Pemecahan Masalah Matematika Siswa melalui Penerapan Model Problem Based Learning
Full text linkThis research describes students' problem-solving skills during mathematics learning on the Linear Equation with two variables with the Problem-based Learning (PBL) model involving 21 Year 8 students at one of the junior high school in Aceh Besar, Indonesia. This is descriptive research using documentation and interview to collect data. The research subjects were taken after the test at the end of the meeting, consisting of two subjects from the high, medium, and low groups. Data analysis was done by reducing data, presenting data, and drawing conclusions. Based on the results of the study, it was found that with the application of the PBL model students' mathematical problem-solving skills were classified as good. Therefore, this model is one solution that can be applied to enhance students problem-solving skills
Analisis Data Ordinal untuk Mengetahui Tingkat Persetujuan Pengetahuan dan Pelaksanaan Visi dan Misi Jurusan Statistika FMIPA Universitas Syiah Kuala
Full text linkThe National Higher Education Accreditation Board Regulation (BAN-PT) number 2 of 2017 concerning the national accreditation system of higher education makes the vision and mission as one of the assessments and instruments for the accreditation of majors in tertiary institutions. The success of the implementation of the vision and mission is determined by the involvement of the entire academic community within the Department of Statistics, namely lecturers, employees, students, and alumni. Measurements used to find out knowledge about vision and mission can be obtained through a questionnaire that all questions in the questionnaire use an ordinal measurement scale. The ordinal scale cannot explain information clearly, resulting in the loss of a conclusion. Thus, it would be better to transform it into interval data. Data analysis methods used are the successive interval method, the equal appearing intervals method, and the Thurstone (The Law of Comparative Judgment) method to convert ordinal data into intervals so that conclusions can be drawn and also calculate the error value of each method called the average nonconformity test (average discrepancy). The conclusion drawn based on the method of equal appearing intervals, the law of comparative judgment, and successive intervals is "The highest level of agreement on the knowledge and implementation of vision and mission using the three methods is on variables 9 and 14 which means that the academic community The Department of Statistics FMIPA Unsyiah knows that there is a mission in the Department of Statistics FMIPA Unsyiah and the vision needs to be socialized. The lowest level of agreement on the knowledge and implementation of vision using the three methods is in variables 16 and 3 which means that the academic community tends not to memorize the vision and mission of the Department of Statistics FMIPA Unsyiah ". Methods that can be calculated error rate is the law of comparative judgment method with an error rate of 1.2% and a successive intervals method with an error rate of 3%
Penerapan Keterampilan Berpikir Kritis pada Pembelajaran Matematika oleh Mahasiswa PLP II Universitas Syiah Kuala
Full text linkOne of the required skills in mathematics learning is critical thinking. It is important for students to be able to find sources of relevant problems in solving mathematical problems. The purpose of this study was to analyze critical thinking skills in mathematics learning taught by pre-service teachers at Syiah Kuala University through video learning activities. This study is a qualitative descriptive study, with the subject of two pre-service teachers at Syiah Kuala University who were selected using a purposive sampling technique. Data collection was undertaken by observing learning activities and interviewing two subjects (S1 and S2). The results showed that the ability of S1 in developing critical thinking skills was categorized as competent, while the S2 subject was classified into the less competent
Penerapan Model Kooperatif Tipe STAD untuk Meningkatkan Pemahaman Matematis Siswa Kelas X di MAS Darul Ihsan Aceh Besar
Full text linkMany factors cause students' poor mathematical understanding, one of which is applying an inappropriate learning model in teaching and learning activities. This study aims to determine the difference between students' mathematical understanding taught by the STAD type cooperative model and those taught using conventional learning models. This research used a quantitative approach with a Quasi-Experimental design. The population in this study were Year 10 students at one of the senior high schools in Aceh Besar, Indonesia, with a sample of 35 students in the experimental class and 31 students in the control class. Data on students' mathematical understanding was collected using comprehension tests, namely pre-test and post-test. The data were analyzed quantitatively using the SPSS 20, namely the independent t-test. The results indicate that the increase in students' mathematical understanding taught by the STAD cooperative model is higher than those taught by conventional learning models. This study will be an input for teachers to use and expand the STAD-type cooperative learning model in mathematical circumstances and materials with the same characteristics
Penerapan Model Problem Based Learning (PBL) dengan Konteks Perpisahan Sekolah pada Materi Bangun Ruang Sisi Datar
Full text linkMathematics lessons for secondary school students in Indonesia tend to be teacher-centred. Students do not dare to argue or try so that learning occurs passively, affecting student learning outcomes. One way to improve student learning outcomes is to apply the Problem Based Learning (PBL) model. This study aims to determine learning outcomes, activities and student responses after applying PBL model using the context of school separation. This study uses mixed research carried out concurrently using a concurrent embedded strategy, namely quantitative and qualitative research. Quantitative research to determine student learning outcomes and responses. Qualitative research to determine student activities with descriptive methods. The population of this study were all Year 8 students in one of the junior high schools in Aceh Besar, Indonesia, with one class randomly selected as a sample. Data were collected by tests, observation sheets and student response questionnaires. Student learning outcomes were analyzed using t-test. The results showed that: (1) student learning outcomes using the PBL model with the context of school separation on the polyhedron can achieve minimum completeness criteria; (2) Student activities during learning using the PBL model with the context of school separation have been effective for 6 aspects, but not yet effective for 1 aspect; (3) Students give a positive response to the learning of cubes and blocks that apply the PBL model with the context of school separation. Applying the PBL model with the context of school separation on the polyhedron can affect student learning outcomes
Kesulitan Siswa SMP Kelas IX dalam Menyelesaikan Soal Limas
Full text linkStudent achievement in geometry is poor because many students have difficulty in learning. This study aims to determine the difficulties and causes of difficulties experienced by Year 9 students in solving pyramid problems. This study employed a qualitative descriptive research approach. The research subjects consisted of 6 Year 9 students. Data collection was done by a test and interviews. The research instrument includes the main instrument, namely the researcher, and the supporting instruments in the form of test questions and interview sheets. This research uses source triangulation. The data analysis technique uses the model proposed by Miles and Huberman, which consists of data reduction, data presentation, and concluding/verification. The results of this study are students have difficulty understanding the concept and difficulty applying the principle of pyramids. The cause of the difficulty is that students do not fully understand the pyramid
Kemampuan Metakognisi Siswa dalam Menyelesaikan Permasalahan Matematika di SMP Muhammadiyah 06 Medan
Full text linkMetacognition ability is a person's ability in the process of planning strategies, integrating strategies, and evaluating strategies. Efforts that can be made to see students' metacognitive abilities are by conducting research. This study aims to describe students' metacognitive abilities in solving math problems at SMP Muhammadiyah 06 Medan. This study used a qualitative approach with a descriptive research type. The subjects in this study were students of class VIII-1 at SMP Muhammadiyah 06 Medan, totaling 40 students. The process of collecting data using test and interview techniques. Data from the test results were then collected according to the metacognitive ability categories that had been set, namely: low, medium, and high. Then students were interviewed using an interview guide to validate the test result data. The results showed that the students' metacognition ability in solving math problems at SMP Muhammadiyah 06 Medan on number pattern material was classified into the medium category