Using the APOS to design computer dynamic activities for learning the linear function

The purpose of this study is to apply the APOS theories by using the GSP software to design the dynamic digital materials for learning mathematical linear functions. The APOS cognitive theory was developed by Ed Dubinsky et al. originally, however it was rooted on the structured programming ISETL and applied on the function domain. We extend the theory to the visual object on developing the linear function concept. The GSP was a geometrical purpose construction software which allowed to manipulate the object once established. In this study we investigate whether the dynamic digital materials based on the APOS theory can be helpful to learn mathematical linear function or not. We chose a participant student from junior college of nursing in second-grade. The experiment was conducted four times with three hours each time. We found the case student was on the cognitive process level at the beginning and reached the scheme level of cognition at the last.