How do prospective teachers solve the algebra problem as a broad measure

The representation of prospective teachers in solving math problems affects the results solving math problems faced, so that representation is an important aspect of building an understanding of mathematical concepts. This research uses a qualitative approach with a case study method. 7 out of 112 mathematics education teacher candidates were selected as research subjects. Algebra assignments and interview sheets that have been validated by two experts in mathematics, and use think aloud and field notes as data collection tools. Triangulation data sources were used as data reliability. The findings in this study are two ways that prospective teachers use area measurements (geometric representations) to solve algebraic problems, namely direct algebraic-geometric translation and algebraic-geometric translations based on the results of factorization. The process of emerging geometric representations is based on the pre-existing knowledge of prospective teachers. In addition, from the stages of the geometric representation process, a similar pattern was found that could be used for further research. The patterns are in the form of perception, appearance, strategy, and re-check. We recommend to carry out further research related to the geometric representation process associated with information processing theory and to develop learning models that can improve the representation of geometrics in solving mathematical problems. For the learning process, teachers do not realize the importance of geometric representation, because they may feel that students are not able to complete tasks using representations and are not trained to develop tasks involving geometric representations. The implication for learning is that it can help develop the mathematical abilities of students and prospective teachers.