David Lambert told The TES that the curriculum gave pupils little chance to respond to media coverage of, for example, disease "epidemics" and genetically modified food.
He said: "When pupils read about a certain number of people dying in China from a disease, and it seems worldwide panic has ensued, what should be their reaction? A proper grasp of the concept of risk would help them here."
Mr Lambert said that pupils were usually taught risk through mathematical probability, which "turned a lot of people off".
Mr Lambert will approach Charles Clarke, the Education Secretary, with the idea of a pilot scheme to get geography pupils to think critically about information they receive.