The book of Proverbs is a form of writing known as "wisdom literature," collections of which have been found in many cultures from ancient times to the present. "Proverbs" are generalizations that communicate wisdom gained through experience and observation over time. What they state is usually but not always the case (the Book of Job illustrates that fact). For this reason, someone has suggested calling them the "Probablies." I think that three of the seven Proverbs you cite above are not talking about parents and little children (10:13; 20:30; 26:3), including the one that mentions "stripes" (20:30). In reading the Proverbs today that clearly involve parents and children, we would not err to think "switch" instead of "rod" and "licks" instead of "blows."
As I see it, the Bible allows but does not require
spanking. I was spanked occasionally by my parents and I spanked my
children a few times when they were small. In keeping with the nature of
the Proverbs, I believe it is "probably" the right thing to do when appropriate.
My personal guidelines concerning spanking included the
following. Spank only for willful defiance, not for mere mistakes. Never
spank when angry. Warn clearly and in advance. Explain the reason for
spanking before doing it. Spank as little as necessary to accomplish its
purpose. Always conclude by reaffirming love for the child in words and
with a hug.
For more on marriage and family, click here.