An example of the approach was a "young guy who isn't that good with words and numbers, but he's really interested in young women", Ms Black said.
"He probably wants to learn how to drive."
Learning to drive involved "a lot of literacy and numeracy", so instead of practising by reading books, that person could develop literacy more effectively by working through the road code with the objective of getting a driver's licence.
The mission had designed the course specifically for the work at the prison, but had experience through the Storybook Dads programme, where incarcerated fathers were recorded reading books for their children to watch, Ms Black said.
That helped them develop their literacy.
"They're hugely motivated.
"When we run the programme we get guys queuing up to get on to it."
The new contextualised programme was "an excellent thing for the men to have".
"The research shows contextualised learning to be much more powerful in terms of the guys actually improving their literacy and numeracy.
"One thing we know as a social justice agency is employment is a real anchor against recidivism.
"The literacy and numeracy rates in prison, on average, are pretty poor."
The price of the contract was in the "very low six figure" area, and involved two part-time workers.