Alfiah, Zen and Noornia, Anton and Meiliasari, Meiliasari (2014) *Design Research: Developing Mathematical Reasoning On Early Algebra For Middle School Students.* In: Ratu Ilma (Eds).The Second South East Asia Design/ Development Research (SEA-DR) International Conference, April 26-27,2014, Unsri, Palembang, April 26th-27th,2014, Palembang.

## Abstract

This paper discusses how to develop mathematical reasoning in early algebra for middle school students. Given the fact that in the first year of middle school, students are in transition from arithmetic thinking to algebraic thinking, most of them are still in the state of arithmetic thinking, thus they have difficulties in understanding algebraic topic. We designed classroom activities to develop student’s mathematical reasoning underpinned by Realistic Mathematics Education (RME). The methodology of this research is design research which consists of three phases; thought experiment, teaching experiment, and retrospective analysis. In tought experiment phase, we designed the classroom activities and made conjectures of students’ learning. The teaching experiment was conducted in grade 7 class of SMP Labschool Jakarta. We collected our data; video recording, students’ work and interviews, and field notes. In the restrospective analysis, we analysed the data. The result shows that pattern activities have support students to find the pattern in a problem, constitute a strategy to simplify the problem by using models and finally make generalization. The social norm in the classroom has helped students to justify their answer, build arguments on the mathematics reasoning process

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