The following two factors disturbs students in their understanding a projection.
1. Students don't have mental operation to understand figure with coordinate. Even if they have knowledge of the coordinate system, they can't apply this knowledge in coordinate of a projection.
2. Knowledge of the coordinate system which students have is lacking in mathematical idea.
Students have three misconception about the coordinate system as follows.
a. Students can't understand that the coordinate axes is reference frame common to a projection.
b. Students don't use the coordinate axes to know coordinate value. They use coordinate axes as a frame to know place of figure.
c. Students don't understand that property of figure changes between different coordinate system.
These students don't represent a projection with coordinate. They use term of similar size or measurement. In their idea, these term means size of length and size of angle. Term of a measurement doesn't mean coordinate. They don't replace figure in coordinate. They can't imagine that mistake of answer is coordinate mistake. Therefore students mistake the task.
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