Design division mixed fractions materials using PMRI and lesson study

Abstract

One of the problem in modern mathematical learning prosess is the mathematics concept presented by the teacher to students such as machines. So, the concepts are used by students as finished product without knowing the origin and how to reconstruct them. The effort that can be done by the teacher to overcome this problem by designing learning wherever possible starting with presenting realistic problems to drive and support students understanding abstract idea in mathematics. In this article we will discuss the design mixed fraction division based on PMRI, which is a type of design research. Design research has three cycles, namely preliminary design, classroom experiment, and retrospective analysis. This Design is aimed for supporting students understanding the concept division mixed fraction then use it into problem solving. In this article only the preliminary study phase will be discussed, which includes literature study activities, curriculum analysis, and the design of the initial prototype based on non-formal trials conducted at the SMP Srijaya Negara Palembang. An HLT (Hypotetical Learning Trajectory) has been produced regarding division of mixed fraction using image representation. This material not only designed using PMRI but also Lesson Study as learning system. So the design contain three activities, which are two activities about sharing task and one activity about jumping task.