Abstract
Algebra is one of the important concepts in mathematics and began to be taught in class VII of junior high school. One way to find out students' thinking and reasoning abilities algebraically is to algebraic thinking. Algebraic thinking is a mental activity consisting of generalization, abstraction, dynamic thinking, modeling, analytic thinking, and organization. The means that can be used to explore students' algebraic thinking is problem solving. The problem used in this research is contextual mathematical problems. Algebraic thinking in each student in solving contextual mathematical problems varies based on the level of mathematical abilities. The purpose of this research is to describe the algebraic thinking’s profile of junior high school students in solving contextual mathematical problems based on mathematical abilities. This research uses a qualitative approach with methods of collecting data through tests and interviews. The subjects of this research were one student with high mathematical abilities, one student with medium mathematical abilities, and one student with low mathematical abilities. The results of this research indicate algebraic thinking of student with high mathematical abilities, consists of generalization, abstraction, dynamic thinking, modeling, analytic thinking, and organization. Algebraic thinking of student with medium mathematical abilities, consists of generalization, abstraction, dynamic thinking, modeling, analytic thinking, and organization. Algebraic thinking of student with low mathematical abilities, consists of generalization, dynamic thinking, and organization.Keywords: algebraic thinking, problem solving, contextual mathematical problems, mathematical abilities
Highlights
Salah satu konsep penting yang diajarkan dalam matematika di sekolah adalah aljabar
One way to find out students' thinking and reasoning abilities algebraically is to algebraic thinking
a mental activity consisting of generalization
Summary
Aljabar merupakan salah satu konsep penting dalam matematika dan mulai diajarkan di kelas VII SMP. Berpikir aljabar merupakan suatu aktivitas mental yang terdiri atas generalisasi, abstraksi, berpikir dinamis, pemodelan, berpikir analitis, dan organisasi. Sarana yang dapat digunakan untuk menggali berpikir aljabar siswa adalah pemecahan masalah. Masalah yang digunakan dalam penelitian ini adalah masalah matematika kontekstual. Tujuan penelitian ini untuk mendeskripsikan profil berpikir aljabar siswa SMP dalam memecahkan masalah matematika kontekstual ditinjau dari kemampuan matematika. Hasil penelitian ini menunjukkan berpikir aljabar siswa dengan kemampuan matematika tinggi dalam memecahkan masalah matematika kontekstual terdiri atas generalisasi, abstraksi, berpikir dinamis, pemodelan, berpikir analitis, dan organisasi. Berpikir aljabar siswa dengan kemampuan matematika sedang dalam memecahkan masalah matematika kontekstual terdiri atas generalisasi, abstraksi, berpikir dinamis, pemodelan, berpikir analitis, dan organisasi. Berpikir aljabar siswa dengan kemampuan matematika rendah dalam memecahkan masalah matematika kontekstual terdiri atas generalisasi, berpikir dinamis, dan organisasi.
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