Each has a special educational needs "statement", guaranteeing access to enhanced education, which at Roman Fields means one-on-one tuition and a personalised curriculum.
It costs around £22,000 a year to put a child through Roman Fields, according to Orchard, compared with £4,000 in mainstream education.
Yet on Thursday Kai exceeded the expectations of his teachers so stunningly that Roman Fields' head, Trevor Orchard, contacted the Guardian to urge us to highlight the boy's achievements.
After refusing to go to school two years ago, he was sent to Roman Fields pupil referral unit in Hemel Hempstead, a school of last resort for children no one else will teach.
Of the few archaeological surveys of Ickenham carried out, one in 1994 by the Museum of London found a system of Roman fields, dating back to the 1st and 2nd centuries along with pottery fragments.
But even from horseback, the Roman commanders' field of vision was severely limited, and O'Connell's imaginative evocation of their point of view makes his reconstruction of their battle plan extremely convincing.
The transition from oxen to horses for farm work was documented in pictorial sources (for example, the 11th-century Bayeux tapestry depicts working horses), and also clear from the change from the Roman two-field crop-rotation system to a new three-field system, which increased the cultivation of fodder crops (predominantly oats, barley and beans).
From 218 the Romans annually fielded major armies decade after decade.
During the 150 years after Hannibal's surrender, the Romans regularly fielded armies of more than 100,000 men, requiring on average about 13 percent of the adult male citizens each year.
Job descriptions include the ability to lead groups of all ages through a museum; ward off challenges from visitors who say they know more than the docent about a subject; handle schoolchildren who fantasize about carving their initials in Roman busts; and field questions designed to stump the most knowledgeable curator.
