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However, they could instead take functional skills or other maths qualifications approved by exams regulator Ofqual.
A number of reforms are already being introduced, such as banning calculators from tests for 11-year-olds, requiring teenagers who do not get a grade C at GCSE in maths to continue studying the subject, new maths qualifications for post-16 students and bursaries to attract top maths graduates into teaching.
"Good maths qualifications have the greatest earnings potential and provide the strongest protection against unemployment," said the education minister.
An Ofqual spokeswoman added it had been working with exam boards over the past 18 months to deliver the government's policy aims for the revised GCSE maths qualifications.
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The moment you got your degree, you elected to go into teaching, which meant getting a maths qualification.
The DfE also says it is developing a new core maths qualification to be offered from 2015.
He asked how often a judge ordered an offender to complete an English or maths qualification while they were inside.
She says some applicants lack a decent maths qualification and some don't have the communication skills: "I've interviewed a number of candidates whom I just wouldn't put in front of the children".
The investigation was launched after Pearson and OCR wrote to schools in 2014 urging them not to choose which new GCSE maths qualification to take based on sample papers.
The new measure is to be counted in school and college league tables from 2017, combining three strands: an approved vocational qualification equivalent to a level 3 national vocational qualification, a "core maths" qualification and an "extended project" designed to test skills in communication, research and motivation.
A new maths qualification is needed to encourage more students to study the subject after 16, a study suggests.
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