<![CDATA[This research aimed to describe students' critical thinking processes based on gender in solving group problems. The subjects were a boy and a girl with equal abilities. The instrument was a critical thinking test. Data were analyzed based on FRISCO indicators. The results are on the indicator of: (1) focus, the boy has difficulty in solving problems of power set context while the girl succeeds in any context; (2) reason, both subjects provide relevant reasons; (3) inference, the boy has difficulty in forming conclusions of power set context while the girl succeeds in all conclusions; (4) situation, the boy does not use mathematical concepts that are relevant to the problem of power set context while the girl does of any contexts; (5) clarity, the boy explains the conclusion of integers set context while the girl does in all contexts; (6) overview, the two subjects do not recheck. Keywords: group algebra, gender, the critical thinking process]]>
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