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This research is a Classroom Action Research (PTK) consisting of 2 cycles, each consisting of 2 meetings. Before giving action, an initial ability test is first given and at the end of each cycle is given a problem-solving ability test. From the results of the analysis of initial ability test data, it was obtained that many students achieved learning completeness from the initial ability test, namely 18 out of 28 students or 21% with a grade average of 26,7. The results of data analysis in the first cycle after applying the Reciprocal Teaching type cooperative learning model showed that the number of students who achieved learning completeness was 13 out of 28 students or 61% with a grade average of 70,7. The results of data analysis at the end of cycle II with the same learning obtained the number of students achieving learning completeness, namely 24 out of 28 students or 86% with a grade average of 90,86. This means that there is an increase in students' mathematical problem-solving skills from cycle I to cycle II. Based on classical completeness criteria, this learning has reached the classical completeness target.

This research was conducted with the aim of producing digital learning media using the Smart Apps Creator through a Realistic Mathematics Education approach that is valid, effective, and able to improve students' mathematical problem solving abilities in the matter of a system of two-variable linear equations. This type of research is Research and Development (R&D) with the ADDIE model. From the research results, it was obtained that the media and material validity values were 93.6% and 93% with very valid categories. The practicality of the media through the results of the teacher's response questionnaire obtained a practicality value of 97.3% in the very practical category and the results of the student response questionnaire for the small group test and large group test obtained values of 90.9% and 91.4% in the very practical category. Then the value of effectiveness is seen through the mastery of classical learning and the results of the student response questionnaire obtained percentages of 87.5% and 94.05% with very effective categories. Improving problem solving abilities in students, the results obtained are that the level of students' problem solving abilities is at a percentage of 92% with a very high category, while based on the N-Gain test the average value obtained by students is 0.6473 which means there is an increase in problem solving abilities in students medium category. So based on the results obtained it can be concluded that the learning media developed in this study are valid, practical, effective, and able to improve students' mathematical problem solving abilities.

This study aims to describe students' learning barriers in solving SPLDV questions based on problem solving abilities. This research uses descriptive qualitative research, and the sampling technique uses purposive sampling technique. This research was conducted at Sungai Kakap 1 Public Middle School, the data used were the results of researchers to clarify students' obstacles in answering questions based on problem-solving abilities with data sources, namely class VIII students of SMP 1 Sungai Kakap. Data collection techniques used measurement techniques, direct communication techniques and indirect communication techniques with data collection tools in the form of test questions, interview guides and documentation. The data analysis techniques used are data reduction, data presentation, and drawing conclusions. In this study it was concluded that the students' barriers in the high group were wrong in determining the formula and wrong in the concept of completion, the students' barriers in the medium group were wrong in determining the formula, discrepancies in using the formula to answer a problem and did not re-examine the answers, and student barriers in the low group were unable to determine the formula and solve the problem on the question then also did not re-check the answer after completing the given question.