It has to do with the X-chromosome, how it's passed down from mama to child, then to grandchild. Can Grandma be more closely related to some of her grandchildren than others? Well, I guess if you play the DNA game, it might appear so. It goes something like this:
- Paternal grandmother (doesn't apply to me, I don't have a son, but let's see where this leads) - mama passes one of her X's to her son. He then passes his one X to his daughter, his Y to a son. Theoretically, paternal grandma is twice as close to her granddaughter (one of those two X's are hers via son) as to her grandson (nada, since grandma has no Y to contribute). Are you following this?
- Maternal grandmother (that'd be me) - mama passes one of her X's to her daughter. There's a 50/50 chance grandma's X is the one passed on to either a grandson or granddaughter. Ergo, maternal grandma is related to her grandchildren (sons and daughters) equally.
Of course, this is just the science end of things. We grandmas and grandmas-to-be know that loving those grand-chirruns has nothing to do with who gets the most X from whom. It's all about love, love, love.