A wizard without a wand? How can that be? Aren't "wizard" and "wand" almost synonymous?
In this first title of the series, we meet this wizard without a wand - Shmedley Thrumbledack - and his closest friends in their first year at Wizard School. This Wizard School is so expensive that Shmedley's parents run out of money buying his supplies and don't have enough left over to buy him a wand.
Shmedley is part of a group of kind students dubbed "The Tensome". Shmedley is very smart in wizard math and knows exactly how much a kajillion is.