Wahyuningrum, Ayunda Sri and Alfiah, Zen (2015) *DEVELOPING SEVENTH GRADERS’ ALGEBRAIC THINKING ON LINEAR EQUATIONIN ONE VARIABLE TOPIC.* In: The Third South East Asia Design/Development Research International Conference, 18 Apr - 19 Apr 2015, Palembang.

## Abstract

This paper discusses how to develop seventh graders’ algebraic thinking on linear equation in one variable. For many students in the first year of middle school, algebra is given as formal and abstract topic. Most of them know how to solve the problems of linear equation in one variable related to the arithmetical thinking directly, but they have difficulties in understanding algebra topic of variable in equations deal with real-world algebra problems. They have misunderstanding of equal sign for solving linear equation correctly as well. We designed classroom activities to develop students’ algebraic thinking in two components which can be identified for seventh grade students, that is, concept of equality and generalization. These components will be underpinned by Realistic Mathematics Education (RME). This research uses a design research methodology which consists of three phases. The first phase is thought experiment that means designing classroom activities and making conjectures of students’ learning. The second phase is teaching experiment that was conducted in one class of grade 7 at SMPN 44 Jakarta. The last phase is retrospective analysis, we analysed the data of students’ learning process based on video recording, students’ work, interviews, and field notes, then compared them with the hypothetical learning trajectory. The result shows that RME-based activities, starting with inequality problems and pictorial equation solving, have supported students to understand the equal sign as an indication of equality and to understand the relationship between the situations using linear generalizing problems. Keywords: algebraic thinking, linear equation in one variable, pictorial equation solving, RME.

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