The former Countdown presenter has been charged by Tory leader David Cameron with examining how to make standards in maths more rigorous, and how schools can attract and retain the best teachers.
"Carol will leave no stone unturned in the task I have set her: to make maths teaching in Britain's state schools as good as anywhere in the world," said Cameron.
Cameron claimed that nearly half of all 11-year-olds leave primary school without basic numeracy skills and the UK had slipped to 24th in international league tables for maths.
He also promised more financial support for schools.
"We must give head teachers more control of their budgets so they can reward good teachers better and recruit specialist maths and science teachers and give poorer schools extra funding so they can recruit the best teachers," he said. "I look forward to hearing what Carol has to say on all these issues."
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