Designing learning trajectory of three-dimensional shape using realistic mathematics education Available to Purchase

This research aims to describe learning trajectories to help students understand the position of three-dimensional elements and be motivated to learn. The context used in this research is the "Little Netherlands" cultural heritage or the Old City of Semarang as a learning resource. This research uses a design research method with a PMRI learning approach which consists of three stages, namely preliminary design, experimental design (pilot experiments and teaching experiments), and retrospective analysis. The subjects in this research were grade 12 students at SMA N 3 Semarang. This research produces a learning trajectory in the context of the cultural heritage of "Little Netherlands" or the Old City of Semarang in three-dimensional material consisting of 7 series of activities, namely: (1) identifying the type and characteristics of curved side shapes, (2) determining the distance from point to point in space, (3) determine the distance from a point to a line in space, (4) determine the distance from a point to a plane in space, (5) determine the distance from a line to a line in space, (6) determine the distance from a line to a plane in space, (7) determine distance from plane to plane in space, and (8) solving contextual problems related to three dimensions. This article introduces the first stage of research design, or pre-design, which aims to provide a detailed explanation at the beginning of the design study, so that it is ready and can be tested in the experimental design stage.