I would define Christian scholarship as scholarship that is done to further the kingdom of God, carried out as part of a calling by citizens of that kingdom whose character, attitudes, emotions and convictions reflect their citizenship, and whose work as scholars is shaped by their Christian convictions, emotions, and character. Christian scholarship is intentional but not always self-conscious of itself as Christian scholarship. That is, Christian scholarship must be done with the conscious intention of pleasing God and doing His will, but the person engaged in this task does not necessarily think of the scholarship as Christian scholarship. Thus, paradoxically, some of the best Christian scholars deny they are doing Christian scholarship. The key concept in the above definition is the concept of a calling.
Christian scholarship is pluralistic.
Since our callings are different, our scholarship will be different as well. Our common theological commitment to the Reformed tradition gives Calvin faculty a greater degree of commonality than will find among Christian scholars generally, including Catholics, Mennonites, Methodists, Baptists, etc., but even within the Reformed tradition, there will be vigorous disagreements among Christian scholars. Some Christian scholarship will be such that one's Christian commitment will explicitly make a substantive difference to the scholarship. One could call this explicitly Christian Scholarship. Other Christian scholarship will be such that one's Christian commitment will make a substantive difference to the scholarship, but the difference will not be explicit.