Designing an algebra learning sequence: the case of operations on algebraic expressions

Abstract

This study aims to design a learning sequence for algebra learning on the topic of operations on algebraic expressions—which is taught for junior high school students. To do so, we used design research method, particularly the preliminary design phase. First, we compiled student difficulties in the topic of algebraic expressions from previous relevant studies. This compilation is used as a consideration for designing a learning sequence. Second, we designed the learning sequence based on the theory of realistic mathematics education. This theory is used because it offers meaningful mathematics for students. Finally, we conducted a focus group discussion to revise the design in order to produce a ready-use learning sequence for the teaching experiment. The result of this study included a sequence of algebra learning material on the topic of operations on algebraic expressions. In sum, we consider that the designed learning sequence for this algebra topic is more meaningful than the conventional learning sequence for students.