Virtual Learning Experiences. VLEs. This is the word I use in regards to the CDK and education. At this point in time I feel that the word 'game' is still too closely-linked with the extremely high budget, fast paced games that often center around activities like sword play, high speed driving, earning points and competing against and/or killing others.
Although the CDK offers a number of ways that users can earn points, my interest is in creating sequential learning experiences that build upon each other. The CDK encourages this by providing multi-media compatibility, multi-user functions and teacher/student interactivity templates.
Awarding students points when they answer a question correctly is certainly acceptable in some circumstances , but the CDK is capable of creating experiences which are much, much more interactive; experiences which will hopefully allow real creativity to be developed and for real learning to take place- as opposed to just memorization.

To be clear, I am not opposed to the word 'games'. There is an entire industry being built around 'serious gaming'-those games which are used for training.(Recommended:Serious Games: Games That Educate, Train, and Inform by David Michael and Sande Chen).
However, in my meetings with teachers who are the potential users of the CDK , I find many who, understandably, have a bias against anything even remotely associated with the fast-paced competitive games that they see children playing alone or in arcades.
As the gaming industry and the education sector get to know each other and collaborate more, it is certain that the word 'games' will be perceived in a better light. For now, however, I prefer the phrase 'virtual learning experiences'...VLEs.

Also recommended:
What Video Games Have to Teach Us About Learning and Literacy by James Paul Gee