One of the reasons for the low student achievement in mathematics is that the mathematics learning process carried out by the teacher tends to be theoretical and less contextual. Mathematics learning needs to be linked to student culture so that there is no gap between mathematics in everyday life and at school. Thus, it is necessary to apply a mathematics learning model based on ethno-mathematics. This study aims to determine the effect of the ethnomatematic based probing-prompting learning model on students' mathematics learning achievement. This type of research is quantitative research with pre-experimental methods and one-group pretest-posttest design. The sample of this research is class VIII A SMPK St. Yoseph Naikoten Kupang, totaling 24 people. The pretest and posttest values as research data were analyzed using the SPSS version 22 program. Based on the results of data analysis, thitung (39,594)> ttabel (2,069) with an error rate of 0.05, which means accept Ha or the ethnomatematic based probing-prompting learning model has an influence which is significant towards the mathematics learning achievement of students class VIII SMPK St. Yoseph Naikoten Kupang.
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Penelitian ini bertujuan untuk mendeskripsikan pemahaman konsep siswa setelah mengikuti pembelajaran matematika pada topik aljabar menggunakan media pembelajaran virtual manipulative. Penelitian ini menggunakan pendekatan kualitatif deskiptif. Penelitian ini dilaksanakan di SMP Santo Aloysius Turi Sleman Yogyakarta. Subjek pada penelitian ini terdiri atas siswa kelas VIIA dengan jumlah 24 siswa dan diambil 3 siswa untuk diwawancarai. Subjek dikelompokkan dalam kategori jawaban yang rendah, sedang, dan tinggi. Teknik pengumpulan data pada penelitian ini menggunakan tes tertulis dan wawancara. Hasil penelitian menunjukkan bahwa siswa dengan kemampuan rendah memenuhi indikator pemahaman konsep yaitu menyajikan konsep dalam berbagai bentuk representasi matematis, dan menggunakan, memanfaatkan, dan memilih prosedur atau operasi tertentu dalam menyelesaikan masalah, siswa dengan kemampuan sedang dapat memenuhi indikator pemahaman konsep yaitu menyajikan konsep dalam berbagai bentuk representasi matematis, dan menggunakan, memanfaatkan, dan memilih prosedur atau operasi tertentu dalam menyelesaikan masalah. Siswa dengan kemampuan tinggi memenuhi indikator pemahaman konsep yaitu menyatakan ulang setiap konsep, mengklasifikasikan konsep menurut sifat-sifat tertentu (sesuai dengan konsepnya), menyajikan konsep dalam berbagai bentuk representasi matematis, dan menggunakan, memanfaatkan, dan memilih prosedur atau operasi tertentu dalam menyelesaikan masalah
In this paper, we solve the water purification equation in a reverse osmosis system of salt water. We shall predict the concentration of salt solution at a given position and time in the process of reverse osmosis. We use the two-dimensional advectiondiffusion equation as the governing equation, which is a partial differential equation. The partial differential equation is converted into ordinary differential equations with a transformation method. Furthermore, in searching for solutions, an analytical approach is used. This approach is successful in computing the concentration of salt in the reverse osmosis process.
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