Twombly and Poussin: Arcadian Painters, Dulwich Picture Gallery

Twombly's 'Hero and Leandro (After Christopher Marlowe)' takes as its theme the classical legend of the doomed lovers

This odd pairing is not a marriage made in heaven

Some years ago the Dulwich Picture Gallery invited Howard Hodgkin to exhibit alongside the Old Masters in their collection. I am not a fan of this vastly overrated artist, but even a diehard enthusiast must have found the juxtaposition cruel. How could Hodgkin’s crudely daubed, splishy-sploshy canvases (I exempt from the description a few works painted at the highpoint of his career in the mid-Seventies) bear scrutiny against works by Rubens or Rembrandt? They couldn’t, and the exhibition was a car crash. So how will an artist whose works appear similarly unrestrained and unstructured fare in his “conversation” with just one formidable Old Master?

Fake or Fortune?, Episodes 1 & 2, BBC One

A Monet the establishment won't accept, a rubbish tip find worth £200,000? Tales of art skullduggery

Fake or Fortune? on BBC One, with Fiona Bruce and art dealer and sleuth Philip Mould, ought to have been called CSI: Cork Street for its blend of fine art and forensic science. They were trying to resolve whether a Monet was in fact a Monet, using a 240 million-pixel camera, Monet's own accountbook (which Fiona Bruce ran her ungloved fingers across) and plenty of ominous music. Next up: who killed Marat in David's picture?

Toulouse-Lautrec and Jane Avril: Beyond the Moulin Rouge, Courtauld Gallery

Striking images of the French artist's high-kicking muse

As one of the stars of the Moulin Rouge, she was variously known by the nicknames "La Mélinite", "Jane la Folle", and "L’Etrange". The first was after a brand of explosive, the other two attesting to a little craziness. Jane Avril’s eccentric dance movements evoked the involuntary spasms of female hysteria patients.

The Vorticists: Manifesto for a Modern World, Tate Britain

Henri Gaudier-Brzeska's phallic head of American poet Ezra Pound

A tantalising survey exploring Britain's first 20th-century avant-garde movement

Who were the Vorticists? Were they significant? Were they any good? And does this little-known British avant-garde movement – if it can be called anything as cohesive - really deserve a major survey at Tate Britain? Many of the group’s paintings never survived the First World War, and nor did one of its most talented supporters, the precocious French sculptor Henri Gaudier-Brzeska; two of the most talented artists who did – David Bomberg and Jacob Epstein – were never signatories to its manifesto, and Epstein, for one, distanced himself; and, in its short life, there was only one exhibition on home turf, while its journal, Blast!, survived only two issues.

George Shaw: The Sly and Unseen Day, South London Gallery

An impressive exhibition of paintings hark back to a lost, Larkinesque England

By anyone’s standards this is an obscure year for the Turner Prize shortlist: you should consider yourself a contemporary art aficionado if you’ve heard of even one of the artists. And if this is indeed the case, that artist is likely to be George Shaw; in recent years his work has featured regularly in group displays at Tate Britain.

Egon Schiele, Richard Nagy Gallery

Egon Schiele, 'Woman With Homunculus', 1910

Women made of bones and bruises and heart in this superior show

Richard Nagy's gallery has said that they don't want millions of people rushing to see their show of Egon Schiele's drawings of women - it's only a small second-floor space on New Bond Street after all, and 50 fragile pictures crowd the walls. But don't let that dissuade you from seeing one of the shows of the year.

Max Bill, Annely Juda Fine Art

'green square with migrated pythagorean triangles' (1982) by Max Bill, the missing link in modern art

The missing link, and a vision from the past: a peach of a show

Max Bill might be the missing link in modern art. He died only in 1994, yet he studied at the Bauhaus in Dessau in the 1920s, taught by Josef Albers, László Moholy-Nagy, Paul Klee and Kandinsky. It is hard to imagine that someone who was working at full strength less than 20 years ago could have a past that is so strongly entwined with these legendary names – hard to imagine, that is, until one looks at the work displayed in this fine retrospective, which even so manages to encompass only five decades of a nearly seven-decade-long career.

The Mountain That Had To Be Painted, BBC Four

How Post-Impressionism arrived here via a Welsh landscape

Half of Wales is visible from the blustery summit. “Of all the hills which I saw in Wales,” recalled George Borrow, author of the prolix Victorian classic Wild Wales, “none made a greater impression upon me.” He was not alone. Arenig Fawr, a southern outcrop of Snowdonia, was also the entry point for British art into Post-Impressionism. This at any rate was the claim of a scenic documentary which joined Augustus John and his young protégé James Dickson Innes on their productive two-year sojourn at the foot of the mountain.

Perspectives: Robson Green and the Pitmen Painters, ITV1

Again a Kevin Test to give unique title to on the slideshow

Miner's son revisits Ashington's colliery artists

The story of the Pitmen Painters, a group of Northumbrian miners who decided to study art appreciation in their spare time and developed into a group of untrained but powerfully expressive artists, has been documented in a book by William Feaver and a play by Lee Hall. Robson Green's particular interest in the story stems from the fact that he's a miner's son, brought up in Dudley, a few miles south of the pitmen's hometown of Ashington.

Revealed, Turner Contemporary

An exhibition too modest to attract the hordes to Margate's new seafront gallery

The opening of Turner Contemporary is being heralded as one of the most important cultural events of the year. Described as "a national and international venue in the regions" the gallery, it is hoped, will attract visitors from London and abroad and transform Margate’s flagging fortunes by stimulating new businesses such as commercial galleries, as well as cafés, restaurants and bars.