A brief section on singing:
46. Verses of psalms, carefully selected in accord with the understanding of children, or singing in the form of psalmody or the Alleluia with a simple verse should be sung between the readings. The children should always have a part in this singing, but sometimes a reflective silence may be substituted for the singing.
If only a single reading is chosen, the singing may follow the homily.
At my parish, we opt for both psalm (one to three verses from the mainstream repertoire) and a gospel acclamation (usually with a verse). I’ve been in places where only one of the two were used, as the DMC suggests. I don’t see the point to that omission of either one.