摘要:Although the proof is one of the basic concepts in mathematics, students have difficulty to use mathematical proof in advanced mathematical courses. Even students who take a number of university level advanced mathematics courses are not able to grasp the mathematical proof. Accordingly, the purpose of this study is to investigate what pre-service mathematics teachers understand about the proof. In this case study, 22 pre-service mathematics teachers are involve in a brain storming activity. The number of terms appeared after this activity is 21. It is also found that they could not appropriately relate these terms in their concept maps.