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The lead author of the report, however, warned that the mastery programme should not be seen as "a silver bullet".
Helen Drury, director of Ark's mathematics mastery programme, said: "Our approach is a collaborative partnership building on our experience of what works.
The mastery programme differs radically from current maths teaching in England, with fewer topics covered in greater depth, and every child expected to master the topic before the class moves on.
The report's lead author warned however that the mastery programme should not be seen as "a silver bullet" and called for it to be tested over a longer period in a greater number of schools in order to build a fuller picture.
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Helen Drury, executive director of the mathematics mastery development programme, said the UK remained in "a frustratingly average position" in the Pisa tables but the results were a reminder of what can be learned from high performing countries.
In Iran there has long been a strong consensus around the need to advance the nuclear energy programme – mastery of this expensive and technically demanding technology is associated with national advancement and modernity.
But after she rented an apartment in London that year, under the auspices of the Covent Garden Young Artists Programme, her mastery of English improved.
Inter-rater reliability was enhanced by development and use of a standardised training programme, with mastery being formally assessed prior to data collection, to reduce the possibility of information bias.
In addition to mastery in technical HAST programme knowledge and skills, they required a strong set of relationship skills and a clear framework for and understanding of the relationships.
As might be expected, higher levels of mastery have been achieved in this type of programme where a minimum basic educational level is required and which provides higher quality training and meaningful supervision.
The subject is taught predominantly by non-specialists and involves the mastery of skills required in the 1990s (when the programme of study was originally put together).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com