Pembuat Nol sebagai Hambatan Didaktis dalam Pertidaksamaan Kuadrat

Kimura Patar Tamba, Meiva Marthaulina Lestari Siahaan

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Abstrak. Penelitian ini bertujuan untuk menganalisis hambatan didaktis pada pertidaksamaan kuadrat. Pilihan didaktis sering didasarkan pada intuisi guru akan kompleksitas dan ketidaklengkapan informasi akan sebuah pendekatan. Melalui analisis didactical obstacles, guru dapat menghindari atau setidaknya berhati-hati pada suatu pendekatan yang terlihat sederhana dan mudah, tetapi menuntun pada terjadinya hambatan belajar. Penelitian menggunakan pendekatan kualitatif dengan paradigma interpretif dalam kerangka penelitian desain didaktis. Penelitian dilakukan pada 105 siswa kelas IX dan satu orang guru pada salah satu Sekolah Menengah Atas di Bandung. Pengumpulan data dilakukan melalui soal tes pertidaksamaan kuadrat, analisis buku pegangan guru, wawancara siswa dan guru. Hasil pekerjaan siswa atas soal pertidaksamaan kuadrat dianalisis untuk melihat cara mengetahui siswa dan pemahaman siswa. Cara mengetahui ini akan dibandingkan dengan pilihan didaktis yang digunakan guru. Hasil penelitian menunjukkan terdapat didactical obstacles dalam pertidaksamaan kuadrat. Hambatan didaktis tersebut adalah penggunaan metafora pembuat nol sebagai konsep utama dalam penyelesaian pertidaksamaan kuadrat. Pembuat nol ini merupakan implikasi dari penggunaan pendekatan sign chart. Untuk itu guru perlu berhati-hati menggunakan pendekatan garis bilangan dan metafora pembuat nol sebagai pilihan pendekatan didaktis. Penggunaan pendekatan dengan lintasan belajar yang dimulai dari pendekatan fungsi, dapat dipertimbangkan guru dalam pembelajaran pertidaksamaan kudarat.

Kata Kunci: Pembuat Nol, Hambatan Didaktis, Pertidaksamaan Kuadrat.


Teks Lengkap:

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Referensi


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DOI: http://dx.doi.org/10.33603/jnpm.v4i2.3614

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