PENALARAN MATEMATIS SISWA KELAS IX SMP NEGERI 19 PALU DALAM MENYELESAIKAN SISTEM PERSAMAAN LINEAR DUA VARIABEL: STUDI KASUS MENGENAI PERBEDAAN BERDASARKAN JENIS KELAMIN

Mathematical reasoning ability is the capacity for logical
thought in analyzing information, formulating arguments,
and drawing verifiable conclusions. This study aimed to
analyze the mathematical reasoning abilities of male and
female ninth-grade students at SMP Negeri 19 Palu when
solving word problems involving Systems of Linear
Equations with Two Variables (SPLDV). A qualitative
descriptive approach was employed, involving two students
from class IX-C one male and one female selected
purposively based on high mathematics grades in their report
cards. The mathematical reasoning indicators used were
based on those proposed by Vebrian: (1) making
conjectures, (2) performing mathematical manipulations, (3)
constructing proofs or providing reasons, and (4) drawing
conclusions. Data were collected through observation,
written tests, and semi-structured interviews, and
subsequently analyzed qualitatively. The results revealed a
difference in mathematical reasoning ability between the
female and male subjects when solving SPLDV problems.
The female student met all mathematical reasoning
indicators and was able to correct calculation errors to arrive
at the correct answer. Conversely, the male student did not
meet all the indicators, particularly regarding the
formulation of conjectures, and made several calculation
errors. Thus, the female student demonstrated superior
mathematical reasoning ability compared to the male student
in solving SPLDV problems