The Effect of Learning Trajectory with the Context of Congklak Traditional Game and Self-Efficacy on Mathematical Reasoning Ability in Statistics Subject
Nabilla Uristu Al Firdaus, Budi Usodo, Yemi Kuswardi*

Universitas Sebelas Maret Surakarta Indonesia

Abstract

Realistic Mathematics Education (RME) is a learning approach that emphasizes using learning trajectory in its learning design. RME learning is based on real contexts or situations that students experience or know. Learners use a context or real situation to discover or construct their own informal math concepts, and then Learners connect informal math with formal math. The purpose of this research is to find out the effect of a learning trajectory in the context of traditional congklak games and self-efficacy on mathematical reasoning ability in statistics subject. This study is a pseudo-experimental study with a 2x3 factorial design. The population in this study were all students in VIII grade of SMP Negeri 2 Wonogiri in the academic year 2022/2023. The samples used were students from two classes taken by cluster random sampling technique. The data collection techniques used were documentation, a self-efficacy questionnaire, and a mathematical reasoning test. The data analysis technique used in this study is a two-way analysis of variance with unequal sample sizes. The results of the hypothesis testing concluded that (1) applying RME using learning trajectories to the traditional congklak game resulted in better mathematical reasoning skills than direct learning in statistics subject- (2) learners with high self-efficacy had better mathematical reasoning skills than learners with medium and low self-efficacy, while learners with medium self-efficacy had better mathematical reasoning skills than low self-efficacy. (3) in each learning model, learners with high self-efficacy have better mathematical reasoning skills than learners with medium and low self-efficacy, while learners with medium self-efficacy have better mathematical reasoning skills than learners with low self-efficacy- (4) At each level of self-efficacy, learning through the RME application using learning Trajectory with traditional congklak games produces better mathematical reasoning skills than direct learning.

Keywords: Learning Trajectory, Realistic Mathematics Education, Self-efficacy, Statistics.

Topic: Mathematics and Science Education