You don't have to take it from us: some great insight to home practice can be found in this Parent's Guide to Music Practicing.
Your musicianship can develop only through practice. No doubt you have heard the saying “Practice Makes Perfect.” Although this saying holds a very important truth, it also contains a major loophole: practice will only make perfect if the practice itself is perfect! In other words, how you practice is just as important as what you practice.
Practice daily for progress and results. Set up a consistent practice space. Use a music stand, and metronome, and a recorder to listen to how you sound. Schedule a regular practice time if possible.
Caretakers: you do not need any musical knowledge to support your child in the practicing. Facilitate a space and schedule and give encouragement and praise.
Here are the steps you should take when you practice at home:
Practice for results - not just a length of time! Focused time spent on your instrument is very similar to focused attention on physical exercise. You can save yourself a million mindless repetitions if you work intelligently.