M. Izzatin, S.B. Waluya, Rochmad, Kartono, N. Dwidayati, N.R. Dewi
Proportional reasoning is the important process in solving social arithmetic problems. A students' successes in solving mathematical problem is also determined by affective abilities, one of which is a mathematical disposition. This study aims to describe the students' proportional reasoning in solving non-routine problems based on mathematical disposition. This research is a qualitative study by conducting an in-depth analysis of the proportional reasoning ability of students in students with high, medium, and low mathematical dispositions. The research instrument used was a problem solving ability test, a mathematical disposition scale, and an interview guide. The result shows that in solving non-routine problems, students with high mathematical disposition have mathematical reasoning abilities at level five (Functional and Scalar Relationships), students with moderate mathematical disposition at level four (Accomodating Covariance and Invariance), and students with low mathematical disposition at level five one (Qualitative). Thus it can be concluded that the higher the mathematical disposition of students, the proportional reasoning in solving non-routine problems will be better. © Published under licence by IOP Publishing Ltd.
Doctoral Program of Mathematics Education, Universitas Negeri Semarang, Indonesia; Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Borneo Tarakan, Indonesia