On certain matters, doing them in the open validates their sincerity. Sometimes, a rebuke is one of those things.
What is a rebuke? It’s simply an instance of correcting somebody for a wrong done. It may be in a harsh way, and sadly, most people don’t appreciate this. That’s one of the pitfalls of our present generation. We want everything mushy and all. But that’s not always the best. 
Although a rebuke shouldn't be abusively harsh, sometimes it must be stern. Because the Bible in this verse commends an open rebuke over a hidden show of love, a rebuke in public, no matter how embarrassing, is more powerful than a secret show of love. That’s what most parents do wrong – avoiding open rebuke. It’s dangerous because their wards may never get to understand the full extent of their misdemeanor.
This passage is not limited to the relationship of parents and children but also holds for children of God and the heavenly Father. God is our Father, and sometimes, He has to rebuke us openly for our misbehavior. Don’t take God’s rebuke to mean hatred. The Bible says God only corrects those He loves.
If God continued loving you and covering things up, you’d never become as great as He wants you to become. This should also be a lesson for parents to learn to openly rebuke their wards in a loving and civil manner when necessary.

Dear Heavenly Father, please help me to be receptive to Your open rebuke when I sin. Teach me to accept correction because You desire that I become better. Grant me the grace to be all that You want me to be as I walk with You and listen to Your voice. Where I get things wrong, please correct me in Your mercy and grace. I may fall sometimes, but Your rebuke is what I need to teach me how to be better and do better. Do not let me perish because of pride, Lord. Help me accept Your will in every matter.
In Jesus's name I pray. Amen.