Definition and Context:
Rebellious children are those who resist authority, particularly the authority of their parents, and act contrary to the teachings and expectations set forth by their family and, by extension, the teachings of Scripture. The Bible addresses the issue of rebellious children in various passages, emphasizing the importance of obedience, respect, and discipline within the family unit.

Biblical References:

1. Old Testament Teachings:
The Old Testament provides clear instructions regarding the behavior of children towards their parents. In the Ten Commandments, God commands, "Honor your father and your mother, so that your days may be long in the land the LORD your God is giving you" (Exodus 20:12). This commandment underscores the importance of respect and obedience within the family structure.

Deuteronomy 21:18-21 addresses the issue of a stubborn and rebellious son: "If a man has a stubborn and rebellious son who does not obey his father and mother and does not listen to them when disciplined, his father and mother are to take hold of him and bring him to the elders at the gate of his town. They shall say to the elders, 'This son of ours is stubborn and rebellious. He does not obey us. He is a glutton and a drunkard.' Then all the men of his town are to stone him to death. You must purge the evil from among you, and all Israel will hear of it and be afraid" . This passage highlights the severity with which rebellion was viewed in ancient Israelite society.

2. Wisdom Literature:
The Book of Proverbs frequently addresses the behavior of children and the consequences of rebellion. Proverbs 13:24 states, "He who spares the rod hates his son, but he who loves him disciplines him diligently" . This verse suggests that discipline is an expression of love and is necessary to guide children away from rebellious behavior.

Proverbs 30:17 warns, "As for the eye that mocks a father and scorns obedience to a mother, may the ravens of the valley pluck it out and young vultures devour it" . This vivid imagery serves as a stark warning against the consequences of disrespect and rebellion.

3. New Testament Teachings:
The New Testament continues to emphasize the importance of obedience and respect within the family. Ephesians 6:1-3 instructs, "Children, obey your parents in the Lord, for this is right. 'Honor your father and mother' (which is the first commandment with a promise), 'that it may go well with you and that you may have a long life on the earth'" . This passage reiterates the commandment from Exodus and highlights the blessings associated with obedience.

Colossians 3:20 also states, "Children, obey your parents in everything, for this is pleasing to the Lord" . This reinforces the idea that obedience to parents is not only a familial duty but also a spiritual one.

Theological Implications:
Rebellion against parental authority is often seen as a reflection of a broader rebellion against God's authority. The family is viewed as a microcosm of the relationship between God and His people, with parents serving as representatives of God's authority. Therefore, rebellion within the family is taken seriously as it can indicate a heart that is resistant to divine authority.

Practical Application:
Christian parents are encouraged to raise their children in the "discipline and instruction of the Lord" (Ephesians 6:4), fostering an environment where respect and obedience are cultivated. Discipline, when administered with love and consistency, is seen as a vital tool in guiding children away from rebellion and towards a life that honors God and respects parental authority.