This study aims to describe efforts to improve students’ mathematical reasoning ability on trigonometry material through the application of the Discovery Learning model. The research was motivated by the low mathematical reasoning ability of tenth-grade students at SMA Dwijwndra Mataram, as indicated by low learning mastery and passive student participation. This study employed a qualitative-quantitative approach using Classroom Action Research conducted in two cycles, each consisting of planning, action, observation, and reflection stages. The research subjects were 13 tenth-grade students. The instruments used were mathematical reasoning tests and observation sheets for teacher and student activities. The results show that the Discovery Learning model effectively improves students’ mathematical reasoning ability, as indicated by an increase in classical mastery learning to 90% in the second cycle. Teacher and student activities also improved into the good category. Therefore, Discovery Learning is effective in enhancing students’ mathematical reasoning abilities in trigonometry learning
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