It might be that spatial conceptualization and abstract reasoning is connectected. Lakoff and Johnson argues in their book Philosophy in the flesh that basis of our thinking is in our bodies and what kind of relations our bodies have with environment we are living in. Multiple essays in Spatial schemas and abstract thought traces questions on how spatial conceptualization and abstract reasoning are connected.
If there is strong link between spatial conceptualization and abstract reasoning does that meant that games that utilize 3D space and require solving spatial problem (e.g., Prince of Persia: Sand of Time) train abstract reasining in general?
Lakoff, G. & Johnson, M. (1999). Philosophy in the flesh: The embodied mind and its challenge to western thought. New York: Basic Books.
Gattis, M. (ed.) (2001). Spatial schemas and abstract thought. Cambridge: The MIT Press.
Petri Lankoski 