Analysis the proportional reasoning abilities of senior high school students in solving mathematical problems

Analisis kemampuan penalaran proporsional siswa SMA dalam memecahkan masalah matematika

Kata Kunci: Matematika, Pemecahan masalah, Penalaran proporsional

Abstrak

Penelitian ini bertujuan untuk menganalisis kemampuan penalaran proporsional siswa SMA dalam memecahkan masalah matematika. Subjek pada penelitian deskriptif kualitatif ini adalah 3 siswa kelas X SMA Negeri 2 Salatiga berkemampuan matematika tinggi. Instrumen utama adalah peneliti sendiri, didukung oleh instrumen tes dan pedoman wawancara. Data hasil tes dan wawancara dianalisis menggunakan langkah reduksi data, penyajian data, dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa ketiga subjek memiliki kemampuan penalaran proporsional yang berbeda dalam memecahkan masalah matematika. Kemampuan penalaran proporsional subjek S cenderung berada pada level 1 dengan menunjukkan strategi menggunakan gambar dan membuat perbandingan kualitatif. Kemampuan penalaran proporsional subjek F cenderung berada pada level 2 dengan menunjukkan strategi menghubungkan model melalui perhitungan numerik, menggunakan unit komposit, dan menggunakan penalaran kuantitatif. Kemampuan penalaran proporsional subjek M cenderung berada pada level 3 dengan menunjukkan strategi menggunakan cara formal dan mengetahui hubungan invarian dan kovarian. Ketiga subjek menunjukkan kemampuan penalaran proporsional pada level 0 dalam memecahkan masalah yang memerlukan perbandingan aditif dan multiplikatif dengan hanya menggambarkan situasi perubahan dalam pandangan aditif.

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Diterbitkan
2019-07-18
Bagian
Research
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