Development of Learning Trajectory with the Realistic Mathematics Education (RME) Approach in Grade X Quadratic Function Material
Zulfa Mubina Pawitrasari, Sutopo*, Budi Usodo, Farida Nurhasanah, Henny Ekana Chrisnawati, Yemi Kuswardi

Program Studi Pendidikan Matematika, FKIP, Universitas Sebelas Maret
*Corresponding email:sutopo72[at]staff.uns.ac.id

Abstract

This study aims to describe the design of a learning trajectory for high school students on the quadratic function material with the RME approach. This research is a qualitative research with an educational design research approach consisting of three stages, namely preparing for the experiment, design experiment, and retrospective analysis. The data sources for this study include students from Class X at SMA Negeri 7 Surakarta, who were selected using purposive sampling. The data sources are worksheets, interviews, observations, and recordings of the learning process. The data validity test technique used was the triangulation technique, while data analysis involved data reduction, data presentation, and conclusion drawing and verification. The result of this research is a learning trajectory consisting of three activities using worksheet. The first activity focuses on identifying the characteristics of the quadratic function graph through contextual problem descriptions, locating intersection points and the vertex, and sketching the graph. The second activity guides students in constructing a quadratic function by using previously found graph points, including the vertex and another point. The learning trajectory is accompanied by student conjectures and teacher activities to assist students in learning.

Keywords: learning trajectory, realistic mathematics education, quadratic function

Topic: Mathematics and Mathematics Education