Alex Salmond said there was an "increasing body of opinion" that supported the new curriculum.
The NUT, holding its annual conference in Liverpool, heard strong criticism of the planned new curriculum.
Northeastern's new curriculum puts greater emphasis on communications, interpersonal skills, project management and ethics.
There are hopes the new Curriculum for Excellence (CfE) will make a significant difference over time.
They warn that, as it stands, the new curriculum may alienate pupils from ethnic and religious minorities.
The new curriculum has been billed as the biggest shake up in Scottish education for a generation.
The new curriculum is expected to be introduced in England's school's next year.
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Parents have a right to know that everything is in place before their children embark on the new curriculum.
Secondary teacher leaders claim the new curriculum is not fully developed and it should be delayed for a year.
Mr Draper says PE should be a core part of the new curriculum.
The campaign began last month amid concerns that teaching about climate change would be removed from the proposed new curriculum.
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Ministers published the proposed new curriculum in February, and a consultation on the draft is due to close on Tuesday.
BBC: Keep climate change lessons in curriculum, urge petitions
He expects to introduce the new curriculum, which will also include a core course on business and society, in the fall.
In a letter published in the Independent newspaper, 100 experts said the new curriculum in England would "severely erode educational standards".
But the new curriculum will make sure that by the age eight or nine, pupils will know tables up to 12.
But learning to program is, in fact, difficult, and getting schools particularly public High Schools to introduce new curriculum is very slow going.
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Can it be that ministers have taken fright at the flexibility it introduced the new curriculum for the early secondary years?
Mr Russell insisted 360 secondary schools were "on track" to introduce the new exams and course work required by the new curriculum.
Education Secretary Michael Russell recently announced plans to check the number of schools ready to implement the new Curriculum for Excellence exams.
He wisely ensured that ownership of the idea was widely spread by delegating design of the new curriculum to several faculty committees.
Ministers set out their new curriculum for England's schools earlier this year.
The curriculum development has now successfully reached a final stage and the implementation of the new curriculum will commence in 2013.
Mr Russell told the Education Committee delay to the new exam courses relating to the new curriculum could be damaging for pupils.
He said any delay would be disruptive for children in S2 who have been taught the new curriculum over the last three years.
Education Secretary Michael Gove said the decision to fund development of the new curriculum should help revitalise maths teaching in schools and colleges.
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Secondary teacher leaders have claimed the new curriculum is not fully developed and have called on it to be delayed for a year.
The new curriculum will make it compulsory to take part in "recognised and recognisable sports" and will set out requirements for "team outdoor and adventurous activity".
"We have listened to teachers' concerns that they need more support and more clarity around exactly what will be expected under the new curriculum, " he added.
His amendment to the education secretary's motion, which highlighted concerns among teachers about assessment, qualifications and the implementation of the new curriculum was passed at decision time.
The study confirms that the new curriculum for excellence is unusual in that individual schools have immense freedom, deciding on what subjects they teach, course content and design.
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