ABSTRAK
Nurul, Solekah, 2814133143, 2017, “Profil Kemampuan Representasi
Matematis Siswa Kelas XI TSM-2 SMK Ngunut pada Materi Program Linear Tahun Ajaran 2016/2017”. Skripsi, Jurusan Tadris Matematika, Fakultas Tarbiyah dan Ilmu Keguruan, Institut Agama Islam Negeri (IAIN) Tulungagung. Pembimbing: Musrikah, M.Pd.
Kata kunci: kemampuan representasi matematis, program linear.
Penelitian ini dilatar belakangi oleh sebuah fenomena bahwa kemampuan representasi matematis yang dimiliki siswa Sekolah Menengah Kejuruan masih rendah. Hal ini dikarenakan kemampuan representasi matematis bukan menjadi perhatian utama bagi pendidik. Perhatian yang lebih terpusat pada hasil belajar mengakibatkan proses berpikir dan kemampuan dalam menyampaikan ide-ide matematis siswa menjadi aspek yang kurang diperhatikan. Padahal kemampuan representasi matematis penting untuk dimiliki siswa, karena melibatkan proses berpikir siswa dalam menyelesaiakan suatu permasalahan serta melibatkan kemampuan siswa dalam menyampaikan ide-ide matematisnya.
Penelitian ini bertujuan untuk mengetahui: a) kemampuan representasi visual siswa kelas XI TSM-2, b) kemampuan simbolik siswa kelas XI TSM-2 dan c) kemampuan representasi verbal siswa kelas XI TSM-2.Penelitian ini menggunakan pendekatan penelitian kualitatif dengan jenis penelitian deskriptif. Kehadiran penelitisebagai instrumen utama dalam pengumpulan data. Sumber data dalam penelitian ini yaitu siswa kelas XI TSM-2 SMK Ngunut dengan subjek yang dipilih adalah 2 siswa kemampuan tinggi, 2 siswa kemampuan sedang dan 2 siswa kemampuan rendah. Teknik pengumpulan data yang digunakan adalah tes, wawancara, observasi dan dokumentasi. Analisis data kualitatif dilakukan dengan langkah-langkah reduksi data, penyajian data dan penarikan kesimpulan. Pengecekan keabsahan data dilakukan dengan keajegan pengamatan, triangulasi dan pengecekan teman sejawat.
Hasil penelitian ini adalah sebagai berikut: 1) Kemampuan representasi visual siswa kelas XI TSM-2 SMK Ngunut sebagai berikut: Siswa kemampuan tinggi memiliki kemampuan representasi visual kategori tinggi dengan presentase skor sebesar . Siswa kemampuan sedang memiliki kemampuan representasi visual kategori sangat rendah dengan presentase skor sebesar . Adapun siswa kemampuan rendah memiliki kemampuan representasi visual kategori sangat rendah dengan presentase skor sebesar ; 2) Kemampuan representasi simbolik siswa kelas XI TSM-2 SMK Ngunut adalah sebagai berikut: Siswa kemampuan tinggi memiliki kemampuan representasi simbolik kategori tinggi
dengan presentase skor sebesar . Siswa kemampuan sedang memiliki kemampuan representasi simbolik kategori sangat rendah dengan presentase skor sebesar . Adapun siswa kemampuan rendah memiliki kemampuan representasi simbolik kategori sangat rendah dengan presentase skor sebesar ; 3) Kemampuan representasi verbal siswa kelas XI TSM-2 SMK Ngunut sebagai berikut: Siswa kemampuan tinggi, siswa kemampuan sedang dan siswa kemampuan rendah memiliki kemampuan representasi verbal yang sama yaitu kategori sangat rendah. Siswa kemampuan tinggi memperoleh presentase skor sebesar . Siswa kemampuan sedang memperoleh presentase skor sebesar . Sedangkan siswa kemampuan rendah memperoleh presentase skor sebesar .
Kesimpulan yang diperoleh dari penelitian ini adalah: 1) Kemampuan representasi visual siswa dengan kemampuan tinggi termasuk kategori tinggi, siswa kemampuan sedang termasuk kategori sangat rendah dan siswa kemampuan sangat rendah termasuk kategori sangat rendah; 2) Kemampuan representasi simbolik siswa kemampuan tinggi termasuk kategori tinggi, siswa kemampuan sedang termasuk kategori sangat rendah dan siswa kemampuan sangat rendah termasuk kategori sangat rendah; 3) Sedangkan kemampuan representasi verbalsiswa kemampuan tinggi, siswa kemampuan sedang dan siswa kemampuan rendah termasuk kategori sangat rendah.
ABSTRACT
Nurul Solekah, 2814133143, 2017, " Mathematical Representation Ability
Profile of Student Class XIMotorcycle Engineering-2 in Vocational High School Ngunut to Material Linear Program Academic Year 2016/2017". Thesis, Department Tadris Mathematics Faculty Education and Teaching Science, Institute of Islamic Studies (IAIN) Tulungagung. Advisor: Musrikah, M.Pd.
Keywords: mathematical representation ability, linear program.
This research was motivated by a phenomenon that the abilities possessed a mathematical representation Vocational High School students still low. Because of the ability of a mathematical representation is not a major concern for educators. Attention is more focused on learning outcomes lead to the thought process and the ability to convey ideas into students mathematical aspect less attention. Yet the ability of mathematical representation might be essential for the students, because it involves the thinking of students in resolving a problem and involving the students ability to express mathematical ideas.
This research aims to determine: a) the ability of the visual representation of student class XI of Motorcycle Enginering-2, b) the ability of the symbolic representation of student class XI of Motorcycle Enginering-2and c) the ability of the verbal representation of student class XI of Motorcycle Enginering-2. The research approaches is qualitative research type descriptive. The presence of researchers main instrument in data collection. Sources of data in this study is student class XI of Motorcycle Enginering-2 with the chosen subject is 2 high ability students, 2 moderate ability students and 2 low ability students. Data collection techniques were used tests, interviews, observations and documentations. Data analysis was conducted by the steps of data reduction, data presentation and withdrawal conclusion. Checking of data validity was done with regularity observation, triangulation and checking peers.
The results of this research are as follows: 1) The ability of the visual representation student class XI Motorcycle Engineering-2 in Vocational High School Ngunut as follows: high-ability students have the ability visual representation of high category with a percentage score of 87.5%. Students ability was the ability of visual representation is very low category with a percentage score of 37.5%. As low ability students have the capability of visual representation is very low category with a percentage score of 25%; 2) The ability of the symbolic representation of Student Class XIMotorcycle Engineering-2 are as follows: high-ability students have the ability visual representation of high category with a percentage score of 75%. Students currently have the ability representation capability of the equation or mathematical expression very low category with a percentage score of 18.75%. As low ability students have the ability representation of the equation or mathematical expression very low category with a percentage score of 0%; 3) The ability of the verbal representation of student class XIMotorcycle Engineering-2 as follows: high ability students, the medium ability students and low ability students have the same verbal
representation ability that is very low category. High ability students obtain a percentage score of 25%. Medium ability students is obtain a percentage score 37.5%. While the low ability students obtain a percentage score of 12.5%.
The conclusion of this study were: 1) The ability of the visual representation of high ability students were high, medium ability students was categorized as very low and low ability students categorized as very low; 2) The ability of the symbolic representation of high ability students were high, medium abilitiy student category and very low ability students categorized as very low; 3) The ability of the verbal representation of high ability students, medium ability studentsand low ability students categorized as very low.
