At Mobicip, we created the Monitor app for exactly this purpose. First setup Mobicip on your family or student iOS / Android tablets and Windows 7/8 PCs. Then install the Monitor app from the App Store on your iPhone or iPad. Launch the app to see a quick summary.
Drill down into the reports and see the reason for blocking any content, and whether it was reasonable to do so. Have the conversation with your child or student. Now you can choose to allow the website, or just allow the domain itself.
Seize the teachable moments. Stay in touch. You'll be amazed at what you can learn from kids today!