On MyTutor, you can set up a joint account for your child so that they have their own personal log in. You'll be able to view all chats that they have on their account, but this allows them to communicate directly with their tutor.
You can add your son or daughter to your profile by selecting your name at the top right hand corner of the webpage, and selecting "My Details". You can then go into "My Students" and add the details of your child.
Once you have set up their account, if you would like them to be able to message new tutors and book in their own lessons, head back to "My Students" and click "Approve".