1. Research activities in the area in which you're staying and visit the museum, visitor centre or local celebration parade, even (especially) in smaller towns. Many are free or have a nominal entry fee and even though you might not be able to read the interpretive signs, you'll be welcomed and you'll get the general idea.
2. Buy an e-reader such as a Kindle for your child and load it up with a mixture of fun and educational books. Set reading times.
3. Register with Khan Academy and/or other online educational resources. Many reward the children with certificates or badges and they can select their own avatar and they enjoy having their own space to achieve.
4. Do some spelling and mental maths as you're walking along, waiting for the bus and so on. It helps to make the time pass more quickly and you'll soon get a good feel for your children's strengths and weaknesses.
5. Encourage your children to talk to the locals. Get them to ask about local greetings and customs, prices and foods; get them to order and pay for meals, and to buy things at the market. It empowers them to take responsibility for the whole family learning the local lingo.
Above: Our girls learn a traditional Mongolian game
Many people enrol their children into a local school if they're staying in one place for a few months or more. Laws vary from country to country, however, and you may find that this won't be possible where you are.
Above: The girls attending class in a remote village in Cambodia
There are home-schooling communities in many countries and you may be able to join in their activities. Bali (and in particular the city of Ubud) in Indonesia, Mexico, Spain and Chang Mai in northern Thailand are all hotspots for digital nomad families.