There are obviously some differences between God and human fathers, and we'll look at that. However, the similarities will be what we can learn the most from. Let's get the differences out of the way now and then we can learn from His parenting skills.
The most obvious difference is His perfection that we already mentioned. Second, is the fact that His interaction with us is not the physical interaction that we have with our children because He is a spirit and because He now only interacts through His written word, but it was not always this way and we will go back to the time when He dealt directly to see how we should deal directly with our children. A third difference is that God's authority is absolute while a human father's is limited, but to a small child that distinction is lost. A fourth difference is that God did/does/will not have a wife like we may. That wife can and should be a help to us (Genesis 2:18), unfortunately some wives are not. Our focus nonetheless is on us fathers and not the wives or mothers. The final difference we will see today is that because God is eternal, omniscient (all knowing), and omnipresent(everywhere at once) His children will have Him with them throughout their lives. He will never die and leave them. They will never do or even think something that He will not know. They can never run away to a place He can't find them. There may be other differences, but I believe these are the major ones that will affect parenting directly.
In coming Father Fridays we will begin looking at God's relationship with His first two children.