Yunia Bani Pratiwi, - (2020) DESAIN DIDAKTIS MATERI TURUNAN FUNGSI ALJABAR : Sebuah Penelitian Kualitatif terhadap Siswa Kelas XII pada Salah Satu Sekolah Menengah Atas di Bandung. S2 thesis, Universitas Pendidikan Indonesia.
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Abstract
ABSTRAK Penelitian ini bertujuan untuk mengungkap berbagai macam gambaran concept image dan kemungkinan adanya learning obstacle pada materi turunan fungsi aljabar, serta desain didaktisnya. Penelitian ini menggunakan metode kualitatif. Data diperoleh dari siswa kelas 12 yang sudah mempelajari materi turunan fungsi. Untuk identifikasi lebih lanjut, dilakukan pula wawancara. Berdasarkan hasil penelitian disimpulkan bahwa concept image siswa tentang konsep gradien antara lain gradien ditentukan dengan melihat bentuk kemiringan grafik, gradien sebagai nilai tanθ atau hasil bagi selisih, gradien adalah turunan, dan gradien adalah nilai koefisien x pada fungsi linear atau yang memiliki bentuk umum y=mx+c. Beberapa siswa juga menjelaskan makna notasi turunan fungsi menggunakan limit sebagai kemiringan atau gradien garis singgung kurva f(x) di titik (x,f(x)), definisi turunan dari suatu fungsi, notasi turunan fungsi, turunan dari fungsi-fungsi, penerapan fungsi turunan, grafik fungsi, polinomial dan nilai ∆x yang hampir mendekati nilai nol. Pemahaman beberapa siswa mengenai definisi turunan yang dijelaskan secara grafis masih kurang karena siswa masih kesulitan dalam membaca grafik. Dari penelitian ini pun teridentifikasi learning obstacle yang disebabkan pengetahuan konseptual dan prosedural beberapa siswa pada konsep turunan masih terbatas karena atau belum memahami materi prasyarat untuk mempelajari materi turunan fungsi aljabar antara lain aljabar, sistem koodinat, persamaan garis lurus, fungsi, gradien, limit serta eksponen. Sehingga untuk mengantisipasi learning obstacle tersebut, peneliti mengembangkan sebuah desain didaktis yang dikembangkan dengan mempertimbangkan learning obstacle dan hasil wawancara siswa. Desain didaktis ini dibagi menjadi tiga desain. Ketiga desain didaktis tersebut dilaksanakan selama 3 kali pertemuan atau 6 jam pelajaran dengan masing-masing pertemuan dilaksanakan selama 2×45 menit. Kata kunci: Desain Didaktis, Turunan Fungsi Aljabar, Concept Image Siswa, Learning Obstacle. ABSTRACT This research aims to determine the concept image, learning obstacle and didactical design on algebraic functions derivatives. A qualitative method was used in this research. Data were collected from students of 12th grade who had learned the derivatives concept. For further identification, an interview was also conducted. The result showed that the concept image of students about the concept of gradient, among others, the gradient is determined by looking at the shape of the slope of the graph, the gradient as the value of tan θ or the quotient of the difference, the gradient is a derivative, and the gradient is the value of the coefficient x on a linear function or which has a general form y = mx + c. Students also explain the meaning of derivatives notation uses limit as the slope or gradient tangent curve of f(x) at points (x,f (x)), resolution of derivatives of functions, notation of derivative functions, derivatives of functions , application of derivative functions, function graphs, polynomials and values hampir which are almost close to zero. Students' understanding of derivative definition is still lacking because students are still having difficulty reading graphics. From this research also identified learning obstacle caused by students' conceptual and procedural knowledge in the derivatives concept is still limited because or do not understand the prerequisite for studying the derivative of algebraic functions, including algebra, coordinate systems, straight line equations, functions, gradients, limits and exponents. The proposed learning obstacle, the researcher developed a didactical design that was developed by considering the learning obstacle and the results of student interviews. This didactical design was divided into three designs. The didactical design was implemented for 3 meetings or 6 hours of study with each meeting held for 2 × 45 minutes. Keywords: Didactical Design, Algebraic Functions Derivatives, Students’ Concept Image, Learning Obstacle.
| Item Type: | Thesis (S2) |
|---|---|
| Additional Information: | No panggil : T MTK YUN d-2020; NIM : 1802511 |
| Uncontrolled Keywords: | Desain Didaktis, Turunan Fungsi Aljabar, Concept Image Siswa, Learning Obstacle |
| Subjects: | L Education > LB Theory and practice of education > LB1603 Secondary Education. High schools Q Science > QA Mathematics |
| Divisions: | Fakultas Pendidikan Matematika dan Ilmu Pengetahuan Alam > Jurusan Pendidikan Matematika |
| Depositing User: | Yunia Bani Pratiwi |
| Date Deposited: | 27 Aug 2020 05:47 |
| Last Modified: | 27 Aug 2020 05:47 |
| URI: | http://repository.upi.edu/id/eprint/50661 |
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