A Students Algebraic Thinking Processed in Mathematic Problem Solving at Low Mathematic Ability Student Based on Quantitative Reasoning Ability

Abstract

Quantitative Reasoning is students ability to concluded a problem solved. The purpose of this research has information about algebraic thinking processed on the student with low ability based on Quantitative Reasoning ability. Methods used qualitative descriptive with a purpose for a description of algebraic thinking processed on mathematics problem solving basic material on function with the low ability of student based on quantitative reasoning ability. This paper used algebraic ability paper test and interview transcript. The subject cluster used purposive technic with appreciation high value on report and teacher review which are known about students characteristic. The results showed that algebraic thinking processed on mathematics problem solving on the student with low ability based on quantitative reasoning ability obtained LESS category because the subject doesn’t capable used deductive reasoning on clarifying n symbol on problem and representation on arrow diagram and Cartesian diagram for the first problem test. With the result that Quantitative Reasoning subject on analyzing problems to extract and quantify essential features with deductive reasoning obtained “Less” category. The second problem test, the subject doesn’t capable used inductive reasoning on concluding highest bounce of the ball from the graphic and function table. With that result that Quantitative Reasoning subject on analyzing problems to extract and quantify essential features with inductive reasoning obtained “Less” category.
 Keywords: algebraic thinking processed, mathematics ability, quantitative reasoning ability.
 Abstrak. Quantitative Reasoning merupakan kemampuan siswa dalam menyimpulkan suatu permasalahan. Tujuan dari penelitian ini adalah untuk mengetahui lebih mendalam mengenai proses berpikir aljabar terutama pada siswa dengan kemampuan rendah ditinjau dari kemampuan Quantitative Reasoning. Metode penelitian adalah deskriptif kualitatif dengan tujuan untuk mendeskripsikan proses berpikir aljabar siswa dalam penyelesaian masalah matematika materi fungsi pada siswa kemampuan rendah ditinjau dari kemampuan quantitative reasoning. Instrumen dalam penelitian ini adalah lembar tes kemampuan berpikir aljabar dan lembar wawancara. Pemilihan subjek dilakukan secara purposive dengan mempertimbangkan nilai rapor tertinggi dan pertimbangan guru kelas yang lebih mengetahui karakteristik siswa. Hasil penelitian menunjukkan bahwa proses berpikir aljabar dalam penyelesaian masalah matematika siswa kemampuan rendah ditinjau dari kemampuan quantitative reasoning memperoleh kategori kurang karena subjek belum mampu menggunakan penalaran deduktif dalam menjelaskan makna simbol n dalam permasalahan dan merepresentasikan dalam diagram panah dan diagram cartesius pada soal nomor satu sehingga memperoleh kategori kurang. Subjek juga belum mampu menggunakan penalaran induktif dalam menyimpulkan lambungan tertinggi bola berdasarkan tabel fungsi yang diperjelas dengan grafik fungsi pada soal nomor dua.
 Kata kunci: proses berpikir aljabar, kemampuan matematika, kemampuan quantitative reasoning.