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This study aims to explore all the types of students' mental models of number patterns. The study used a qualitative approach with an explorative type. The subjects used to characterize the student's mental models in this study were 46 eighth grade students in Indonesia. To reveal the subjects' mental model, they were asked to solve the number pattern problem and were interviewed. For ensuring the validity and reliability of the research results, triangulation technique was used by comparing the results of video recording interviews and written test results. The study showed that in solving the problem of number patterns given, there were 4 types of mental models. They were formal direct mental model, formal indirect mental model, synthetic direct mental model, and synthetic indirect mental model. What we found in this study shows that some students have different mental models to solve the problem. Hence, in future teachers must introduce various strategies to solve the problem and conduct learning that can enrich students' mental models.

Pot is a place or container made of clay, earthenware, cement, or plastic to plant trees or plants. In addition to a place to plant plants, pots also function to decorate the appearance of the house, both on the outside (outdoor) or in the room (indoor). So that the selection of the right pot model can make the yard or corner of the room look more comfortable, beautiful, and attractive. Some pot models that are already on the market have a circular or rectangular base with a monotonous pot shape. Thus, the researcher conducted on the pot modelling with the initial data of regular hexagon polygons as the base of the pot and the Quadratic Bezier curve as the basis for modelling pots with the help of Maple software. This research method uses applied research methods, namely the application of the Quadratic Bezier Curve in making pot models, several pot models were produced, namely a pot with two tiers and three tiers, where each level has several potted models with twisted and symmetrical types. So that the pot models obtained are more attractive and have artistic value.

AbstrakPenelitian ini merupakan penelitian pendekatan kualitatif dan kuantitatif dengan tujuan mengetahui efektivitas penggunaan metode Problem Based Intruction (PBI) terhadap ketuntasan hasil belajar peserta didik pada materi SPLTV di kelas X. Dengan penggunaan metode Problem Based Intruction (PBI) di harapkan di jadikan inovasi yang baru. Penentuan responden dilakukan dengan menggunakan purposive sampling. Pengumpulan data dilakukan dengan cara tes, observasi, dan angket. Data yang di peroleh kemudian di analisis secara kualitatif dengan menggunakan persentase. Hasil penelitian ini menunjukkan bahwa penggunaan metode Problem Based Intruction (PBI) pada materi SPLTV kelas XTKJ di SMK NU Rogojampi dapat di laksanakan dengan baik. Bahwa hasil tes siswa memperoleh persentase sebesar 92% yang artinya dalam kriteria sangat baik dan hasil observasi siswa memperoleh persentase sebesar 66,75% yang artinya masuk dalam kriteria baik. Artinya penggunaan metode Problem Based Intruction (PBI) efektif dalam meningkatkan hasil belajar siswa pada materi SPLTV kelas XTKJ di SMK NU Rogojampi.

Penelitian ini dimaksudkan untuk membuat model pot tanaman sukulen beralaskan lingkaran dan persegi melalui penggabungan benda geometri bidang dan kurva Bezier Kuadratik yang mencirikan kesimetrian dan terkomposisi dari keratan ellips dan kurva Bezier Kuadratik. Alasan pemilihan bentuk geometri bidang dan kurva Bezier tersebut dimaksudkan agar model pot yang dihasilkan lebih bervariasi dan menarik sehingga dapat meningkatkan nilai jual pot tersebut. Jenis penelitian ini merupakan penelitian terapan (applied research). Dalam penelitian ini, proses pemodelan pot tanaman sukulen dilakukan melalui penggabungan kurva Bezier Kuadratik dan bentuk geometri bidang, khususnya keratan ellips. Adapun prosedur modelisasi pot tanaman sukulen, yaitu pertama, membangun alas dan membagi ketinggian kerangka pot menjadi dua tingkatan dan tiga tingkatan. Kedua, untuk data awal lingkaran, setiap tingkatan akan diisi dengan kurva Bezier Kuadatrik. Sedangkan untuk data awal persegi, akan diisi dengan penggabungan keratan ellips dan kurva Bezier Kuadratik. Ketiga, menginterpolasi kurva Bezier Kuadratik dan keratan ellips. Keempat, menyusun hasil analisis menggunakan software Maple 15 sehingga dihasilkan beberapa pemodelan pot tanaman sukulen berkarakteristik cekung dan campuran.