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The purpose of this study was to describe the steps of implementing the Realistic Mathematics Education (RME) approach in teaching geometry in elementary schools. This research uses collaborative action research between lecturers, students, and teachers in 2019 at one of the primary schools in Central Java. Data collection techniques through observation, interviews, and tests. The result of the research is that the implementation steps of the RME approach include: (a) Understanding contextual problems. (b) Describing contextual problems, (c) Solving contextual problems, (d) Comparing and discussing answers, and (e) Concluding. The implementation of the RME approach is proven to improve mathematics learning outcomes about geometry.

Piagets’ theory of cognitive development states that every child has their own way / strategy in interpreting and adapting to their environment. The strategy or method used by students towards learning situation is one of the stages of the learning trajectory. Learning trajectory is a learning line or route that provides an overview of the prerequisite knowledge students already have (as a starting point) and each step from one point to the next that describes the thinking process and methods used by students. This means that students’ factors are the main case and must be considered in creating a learning design. By understanding the learning flow, students can provide various alternative strategies or scaffolding to help and overcome students who have difficulty in understanding mathematical concepts in elementary schools.