This study aims to describe the early mathematic skills of preschoolers in the understanding division through the idea of "fairness". The idea of fairness was familiar to children before the division was first encountered formally. The subjects in this study were three children aged 3-5 years. Based on the research results, it is found that children aged 3-5 years already have an initial understanding of the division. This understanding is identified through what is known as 'fair sharing.' Their perception of division can be seen from the subjects' responses and expressions in "fairness" and "equal sharing" activities.

This is a design research that aims to develop a learning trajectory of the two-variable linear equation system using the Model Eliciting Activities (MEAs) approach in eight grade. The research in cycle 1 was conducted at Xaverius 7 Junior High School Palembang which involved 6 students in eight grade. There are three stages in the research, namely preliminary design, design experiments, and retrospective analysis. Data were collected using interviews, tests, documentation, and field notes which were analyzed descriptively by comparing the Hypothetical Learning Trajectory (HLT). The results of this study indicate that the learning trajectory on the material of the two-variable linear equation system with the MEAs approach developed is in accordance with the HLT that has been designed.

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