REPRESENTASI MATEMATIS SISWA DALAM MENYELESAIKAN MASALAH MATEMATIKA PADA MATERI ARITMATIKA SOSIAL DAN PERBANDINGAN DITINJAU DARI GAYA KOGNITIF SISWA KELAS VII SMP NEGERI 15 SURAKARTA TAHUN AJARAN 2014/2015

Sari

Abstract: This research intended to describe the mathematical representation of 7^th grade students in SMPN 15 Surakarta in solving mathematical problem based on Krulik-Rudnick steps on the topic of social arithmetic and comparison viewed from cognitive style of Field Independent and Field Dependent. The procedure used to select the subject was snowball sampling, with six subjects consisted of three subjects in each cognitive style being analyzed. The data validation was carried out using time triangulation. The representation used by Field Independent (FI) students in solving mathematical problem based on Krulik-Rudnick steps was as follows: 1) In the first two steps, Read and Think and Explore and Plan, students used verbal representation; 2) In the next step, Select a Strategy and Find an Answer, students used symbolic representation; 3) In the last step, Reflect and Extend, students used visual and symbolic representation. The representation used by Field Dependent (FD) students in solving mathematical problems based on Krulik- Rudnick steps was as follows: 1) In the first two steps, Read and Think and Explore and Plan, students presented the given information and asked questions by using verbal and visual representation gradually, clearly and correctly; 2) In the next step, Select a Strategy and Find an Answer, students used symbolic representation by assuming the given information and asked questions into “x” and “y” and wrote it in incorrect algebraic equation, wrote simple interest rate and proportion formula, as well as used symbolic representation by substituting one equation to another incompletely, yet had a correct final result; 3) In the last step, Reflect and Extend, students used verbal and visual representation.

Keywords: mathematical representation, problem solving, cognitive styles