If you are a parent and your children are old enough to use the Internet on their own, you might be concerned about their safety. You do not want something bad to happen to them such as being bullied or you do not want them to be exposed to adult resources. On the other hand, you do not want their privacy to be invaded by being too intrusive.
Very often, the level of Internet security you will want to implement will depend on you and your child. Try to deepen the relationship between you and your child and encourage him or her to share their concerns with you. Encourage honestly in your home as much as possible.