A whiff of chlorine hits you as you open the door of the Whitechapel Gallery. Its the smell of public baths, and inside is a derelict swimming pool with nothing in it but dead leaves and piles of brick dust. Damp walls, peeling paint and cracked tiles make this a sorry sight. The door to the changing rooms has been sealed shut and some joker has sawn through the wall bars. 

There’s a building site outside the Towner Art Gallery and a cement mixer seems to have strayed over the threshold into the foyer. This specimen (pictured below right) no longer produces cement, though. David Batchelor has transformed it into an absurdist neon sign by outlining it with fluorescent tubes. 

In the video, Kathy Jetñil-Kijiner smiles shyly before beginning. As she speaks, her voice gains conviction, momentum, power. Her poem tells of the Marshall Islands inhabitants, a “proud people toasted dark brown”, and a constellation of islands dropped from a giant’s basket to root in the ocean. She describes “papaya golden sunsets”, “skies uncluttered”, and the ocean itself, “terrifying and regal”. She tells of “songs late into the night” and “a crown of fuchsia flowers encircling / aunty Mary’s white sea foam hair”.

There are some wonderful things in Space Shifters, the Hayward Gallery’s autumn exhibition. The selection of work plays with one’s perceptions of space and everything in it. You look through, round or over these sculptures and installations rather than at them, since they direct attention more to the act of seeing than to the work itself.

Design/Play/Disrupt at the V&A covers a wide variety of games that are spearheading the gaming world at the moment. It takes a closer look at eight of the most innovative and different games that have changed the world of gaming in the last five years.

I’ve just spent four hours in the Turner Prize exhibition at Tate Britain. The shortlisted artists all show films or videos, which means that you either stay for the duration or make the decision to walk away, which feels disrespectful.

Heir to one of this country's great textile manufacturing firms, Samuel Courtauld (1876-1947) – highly original in his then unfashionable fascination with the art of his own lifetime  – bought some of the best known and best loved paintings now in the public domain.

It’s the nature of satire to reflect what it mocks, so as you’d expect from a British Museum exhibition curated by Ian Hislop, I object is a curiously establishment take on material anti-establishmentarianism from BC something-or-other right up to the present day.

Architecture is notoriously difficult to present in an accessible way and this survey of Italian architect Renzo Piano, who gave London the Shard, does not solve the problem. With 16 tables arranged in rows over two rooms, the Royal Academy show looks more like a busy office or a reading room than an exhibition. 

This year’s nominees represent the wealth of innovative activity that makes British art, craft and design fresh and exciting. Artists and makers dominate the shortlist, and rightly so, but curators, an educator, and a journalist reflect the importance of public engagement with the visual arts, and the many ways in which this is achieved.