The purpose of education from the perspective of New Rights/ NeoWatch
The New-right see education as a business that reflects the success of the school financially. This allows a meritocratic entrance system (some New-right thinkers believe that rolling back to a grammar/vocational split is best) that can accommodate high-flyers.
Part of the cycle of poverty sees less affluent neighbourhoods funnelled into state school that then has to contend with behavioural problems and underfunded students. The school is not financially punished for failing these people, they are rewarded with specialist funding to prevent them from crumbling like they would do if they were actual businesses delivering a garbage product. By letting parents select the best school by using a "ticket" that represents the money that will follow the student through education, the schools that deliver a good product (education) are rewarded. This means that impoverished inner city kids can receive an excellent standard of education if they are gifted, regardless of the feeder primary/catchment area they're in. Graduates will be qualified enough to get a good job and break the cycle of poverty.
The students do not have to pay, education funding still comes from the government, it just goes directly towards the kids' tickets rather than going to the school. However, parents may choose to pay extra for their child to be private schooled if they believe it to be worth the cost, so the key word is choice. Apprenticeships and trade programs are respected within the new-right, as they allow people to receive training on-the-job, increasing the earning potential by excising the unnecessary classroom education and allowing them to earn a wage.
Purpose is to: Allow the economy to thrive by training people to compete effectively in the job market. Curb excess spending by allowing schools to seek a profit-incentive. Cater to the consumer (students) by actually holding schools accountable for their product (education) similar to businesses.