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Abstract The aim of the study was to produce a design research method that aims to produce learning trajectories on comparative material based on the Indonesian Realistic Mathematics Approach. Design research through three stages, namely preliminary design, teaching experiment, and retrospective analysis was chosen to achieve the research objectives by designing hypothetical learning trajectory. This alleged learning trajectory was tested on 32 students in grade VII of SMP 30 Palembang. The instruments used in this study were recording devices, written test sheets; field notes sheets and questionnaire sheets. The results showed that a series of activities provided were able to stimulate informal knowledge and explore students’ prerequisite knowledge as a bridge in understanding the comparison of values and turning values. The activity of drawing parts of objects to be intact stimulates students to the knowledge of comparative concepts and to the context of tangram problems students are able to model and represent problems. Furthermore, strategies used by students gradually developed into more formal mathematics where the area model was used as a model of the comparative situation of the tangram and a model for more formal reasoning such as a comparison strategy, in dividing the tangram image, as well as the multiplication of comparisons of values and turns value in solving the problem of completion of a job in the installation of tile / marble floor of the house.
Andinasari et al. (Sun,) studied this question.