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This study aims to determine the difficulties of students in solving Higher Order Thingking Skills (HOTS) problems by using the Polya method in Trigonometric comparison materials. This research is a descriptive qualitative research. The subjects of the study were 36 students in class X.1 of SMA Negeri 2 Situbondo. Data collection techniques use test questions, interviews and documentation. The test in the form of Higher Order Thingking Skills (HOTS) questions is carried out to measure students' abilities. Interviews were conducted on 6 students based on the category of ability level of test results. Data analysis was carried out using data induction and reduction theory. The test results showed that those who scored in the high-level category were 10 students (28%), the moderate-level category was 14 students (39%) and the low-level category was 12 students (33%). The conclusion of this study states that the difficulty of students in solving Higher Order Thinking Skills (HOTS) questions using the polya method, namely subjects with high-level categories, experience difficulties at the re-examination stage. Subjects with a moderate level category, experienced difficulties at the stage of implementing the plan and re-examining. Subjects with low-level categories experienced difficulties at all stages of polya, namely at the stage of understanding the problem, making a plan, implementing the plan and re-examining.

The Problem-Solving Learning Model is one of the learning models that can develop problem-solving skills and student learning independence where this model is developed based on polya theory known as problem-solving steps, namely: identifying problem information/understanding problems, planning problem-solving strategies, using problem-solving strategies and re-examining solutions or solutions to problems that have been generated. The Use of the Problem-Solving Learning Model to Improve the Problem-Solving Ability of Pancabudi Private Vocational School Students for the 2023/2024 Academic Year. The purpose of this research is to determine the effectiveness of learning using the Problem-Solving learning model. This research is located at SMK Swasta Pancabudi where the class applies the Problem Solving learning model which will be compared with different classes using the classical learning model.

Mathematics is a field of study that has an important role in education. Geometry is one of the mathematics materials taught in primary and secondary schools. However, students in PGMI 3 class still experience many misconceptions in understanding plane material by applying polya theory. The aim of this research is to identify and analyze common misconceptions related to plane material by applying polya theory. This research uses a qualitative method with a descriptive approach. The subjects of this research were 18 out of 39 PGMI 3 UIN North Sumatra students. The results of the research show that there are several misconceptions that occur which involve basic understanding of plane material, steps in solving problems with plane material, misunderstandings about what polya theory is like and making mistakes by not putting symbols in solving problems. This research aims to provide important insights into curriculum development and a more effective teaching approach in working on plane material by applying polya theory. With a more effective understanding of the misconceptions that arise in plane shape material by applying polya theory, appropriate action can be taken to overcome this problem and can help PGMI 3 students at UIN North Sumatra to develop an understanding of plane shape material by applying polya theory better.

Mathematics lessons are lessons that are able to provide students with insight into gaining knowledge systematically or how to solve a mathematical problem. One of the goals of learning mathematics is to develop problem solving abilities. This indicates that problem solving is a very important ability to hone in learning mathematics. The method used is literature study or literature review. The study sources are in the form of reference books, published scientific journals, and references on websites accessed via the internet. Theoretical references obtained through literature study research will be used as the basic foundation and main tool for further practice which will be followed up with field research. Polya's theory is a systematic approach to solving mathematical problems which consists of four main steps, namely understanding the problem, planning a solution, implementing the plan, and checking again. This theory has been applied in various mathematics learning contexts, such as in analyzing the difficulty of solving mathematical problems on various materials and levels of difficulty.