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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.