This study aims to improve problem-solving skills and cognitive learning outcomes of students in mathematics and describe obstacles and solutions through the application of the Discovery Learning model with concrete media in class IIIA SDN 2 Dukuhwaluh. The background of this study is the low ability of students in solving problems and the achievement of cognitive learning outcomes in mathematics that are not optimal because learning is still conventional and does not involve students actively. The method used is Classroom Action Research (CAR) which is carried out in three cycles. Each cycle consists of planning, implementation, observation, and reflection stages. The subjects of this study were 26 students of class IIIA SDN 2 Dukuhwaluh. Data collection techniques used questionnaires and written tests. Data were analyzed descriptively quantitatively and qualitatively. The results of the study showed that the application of the Discovery Learning model with concrete media can improve problem-solving skills and cognitive learning outcomes in mathematics. The average problem-solving skills increased in cycle I = 83.24%, cycle II = 85.16%, and cycle III = 89.08%. The average percentage increase in cognitive learning outcomes in mathematics in cycle I = 76.92%, cycle II = 84.62%, and cycle III = 92.31%. This increase shows that the use of the Discovery Learning model with concrete media is effective in helping students understand the material in depth and actively solve problems. The obstacles found were the lack of initial understanding of students towards the problem and limited time in exploration. The solutions carried out include more intensive guidance for each group. The conclusion is that the application of the Discovery Learning Model with concrete media can improve Problem Solving Skills and Cognitive Learning Outcomes in Mathematics in Class IIIA Students of SDN 2 Dukuhwaluh.
                        
                        
                        
                        
                            
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