One interesting consequence of this model is that the number of faculty using technology has a positive feedback effect on the number of new faculty that start to use technology. A dynamic model, written in STELLA, illustrates how the early increase in faculty use will cause an exponential increase in new faculty use, even if the level of faculty development effort is maintained at a constant rate.
Figure. 1. Diffusion of innovation model. This graph shows that output of a qualitative model programmed in STELLA. There are four categories of faculty from early adopter, early mainstream, mainstream and late. Faculty development effort helps new faculty get started but some faculty get started because of their colleagues. This graph shows the importance of "kick starting" this diffusion of innovation with early help in faculty development.
One crucial aspect of this per capita support issue is that some faculty will drop out from using technology in the class if the level of support drops below some threshhold. I have modelled this drop to be relatively more critical for the mainstream and late adopters of technology. The graph below illustrates how with constant level of faculty development and support we may encourage faculty into the ranks and then loose them. The steady state for faculty use is the balance between new faculty recruited and faculty lost due to lack of suppport.
Figure 2. Per Capita Support. This model is based on a constant level of faculty development and a constant level of support. This leads to a decrease in per capita support that may be severe enough (see the line for the late adopters) to actually loose the net number of faculty from that group that are using technology in the classroom. Although seen as only a blip on this graph, it would be very demoralizing to have some faculty just throw in the towell. Also, the faculty development efforts are constantly recruiting new people who are later going to quit.
A diagram of this model is shown in Figure 3. The key assumption is that the number of faculty using technology in this program needs to be at a certain level to get a maximum technology effect, i.e. too few faculty using technology will not be an optimum experience for the student.
Figure 3. The diagram for the STELLA model for targetted faculty development which includes feedback links from the effect of technology on student learning directly to faculty development and support effort.
Figure 4: The output of the above model. This shows the increase in student learning follows the increase in faculty. After a number of faculty have been started into the program the level of faculty development decreases and the amount of support jumps.
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