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Nelson Mandela's coffin, which is draped in the South African flag, has arrived at the Union Buildings in the country's capital Pretoria, where the anti-apartheid leader will lie in state.
In a speech he is due to give in London, Wilshaw believes lessons should not be undermined by "background chatter, inattention and horseplay".
As part of his annual Ofsted report, Sir Michael will warn that there are "stark inequities" across England, with a child's chances of being taught at a good school far too dependent on where they live.
He will add that the "battle against mediocrity" is gradually being won, but that England is still a nation divided into "lucky and unlucky children".
The Government is aiming to "roll out" a scan for Alzheimer's disease across the NHS "as quickly as possible", the health secretary told Daybreak.
Jeremy Hunt said the department of health wanted to see "two thirds of people" who suffer from dementia to be diagnosed "by the end of this Parliament".
"The main thing that is exciting about this, is that it is a real palava getting a dementia diagnosis because you have to do these memory tests and people's memories does start to go a bit in old age."
Schools in England are suffering from a culture of "casual acceptance" of classroom misbehaviour, the Ofsted chief inspector has warned.
Poor attitudes to education and low-level disruption in lessons are stopping pupils from learning and preventing the nation from moving up international league tables, according to Sir Michael Wilshaw.
In a speech today, Sir Michael is due to say that disruption and inattention has been tolerated for too long and that Ofsted will be cracking down on misbehaviour in schools.
Around 700,000 children are currently being taught in schools where behaviour is not at an acceptable level, figures suggest.
Sir Michael will say there is a "poverty expectation" in many schools that needs to be dealt with and the "poor attitudes to learning" in England are "a million miles away from the sort of cultures we see in some of the high-performing Asian countries".
The father of a baby who died amid a series of failings at Furness General Hospital has urged the health secretary to adopt a series of measures published in a damning report into the scandal.
James Titcombe, whose son Joshua died when he was nine days old, "welcomed" the "important" report, which he said could prevent future deaths if recommendations on "serious incidents" were implemented:
"I would say to Jeremy, 'please make sure the recommendations are implemented' because this report could actually change the learning from serious incidents in maternity."
An Alzheimer's scan which will be introduced on the NHS is a "big step forward", according to an industry expert.
However, Alzheimer's Society Chief Executive Jeremy Hughes warned the scan would not be immediately widely available.
"One hospital doing one scan today does not mean it is available across the NHS.
"And the biggest problem we have is still the fear that people have of dementia. They don't even go to the doctor to talk about it and we need to change that."
British Airways has tweeted that fog is causing delays and some cancellations at Heathrow Airport.
Fog is causing delays & some cancellations at London Heathrow today. Please check your flight details here http://t.co/aZ9bu1grmm
As Nelson Mandela's coffin was driven through the streets of Pretoria towards the nearby Union Buildings, people sang "Viva Mandela".