This research aims to expose strategy and scale of politeness in Riau students directive speech surrounded by Javanese culture, also its implications on languagelearning in manners in high school. This is a qualitative descriptive research. The data are in the form of directive speech either in formal or informal. The data source includes the activities of 15 Riau students of UMS, UNS, and IAIN. The data gathering techniques includes refering, recording, and taking notes. Data analysis methods in this research includes pragmatics comparison wether intralingual andextralingual. The interpretation of directive speech form is done by reffering to Prayitno’s work, while the analysis of politeness scale is based on Lakoff’s model.The results showed that (1) Riau students are much prefer to use indirect strategy when they are communicating with Javanese society (66,70% : 33,30%). (2) Theanalysis of politeness scale refers to the results of the politeness strategy category in terms of politeness levels low, medium, and fine. The combination of politenessstrategy of Riau students has a low level of politeness with comparison 47%: 23%: 30%. Total data on the scale of politeness in directive speech is low for as many as14 data, while the level of politeness are as many as 7 data, and the level of good politeness is as much as 9 data. (3) The implications of this research on languagelearning with manners in high school can be used as learning materials. In the 2013 curriculum, it is stated that the core competencies-2 (KI-2) of social attitude of classX, XI, and XII demands students to able to use the Indonesian language with manners while KTSP curriculum focused at speaking skills. Language learning can be fun ifstudents and teachers are able to use the language more politely.
Tujuan penelitian ini adalah untuk mengidentifikasi kemampuan mengidentifikasi dugaan – dugaan matematis, mengevaluasi argumen – argumen matematis, dan membangun pembuktian matematis siswa SMP setelah memperoleh pembelajaran geometri menggunakan GeoGebra. Penelitian menggunakan desain pre-eksperimen jenis studi kasus sekali tes (the one shot case study). Hasil penelitian yang diperoleh adalah kemampuan siswa dalam mengidentifikasi kemampuan mengidentifikasi dugaan – dugaan matematis, mengevaluasi argumen – argumen matematis, dan membangun pembuktian matematis, setelah memperoleh pembelajaran geometri menggunakan GeoGebra sudah ada dan mulai berkembang, tetapi masih dalam persentase yang rendah. Agar kemampuan penalaran matematis siswa lebih berkembang dan meningkat, disarankan untuk menggunakan GeoGebra dalam kegiatan yang bervaariasi seperti mengunakannya sebagai alat bantu konstruksi, dan sebagai alat bantu proses penemuan dalam satu pembelajaran, disamping sebagai media demonstrasi dan visualisasi. Memberikan banyak kesempatan dan fasilitas kepada siswa dalam kelas untuk mengembangkan kemampuan penalaran matematis dalam hal memberikan argumen, membuat dugaan, mengidentifikasi dan mengevaluasi argumen dan dugaan, serta membuat dan membangun pembuktian matematis.
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