Paul Willis found it in a pit and recognised it as the vertebra of the Loch Ness Monster's ancestor. Has he discovered a new dinosaur?

Steve Hopper is a renowned Australian scientist just back from running the Royal Botanic Gardens in Kew. Now he sees unmistakable signs of climate change in the West – cockatoos dropping from heat stress and others invading the city looking for water. Plus, argument against the suggestion that growing crops causes more animal death than farming for meat.

The Science Show receives innumerable lengthy dissertations showing that Einstein was wrong, that the universe is a pyramid or that atoms are basically made of custard. We politely ignore them. Margaret Wertheim doesn’t: she goes to meet the guys with the way-out theories. What is so instructive about these eccentrics and their world?

How did the wonder horse win 25 races so easily? Scientists have investigated and can reveal the champion’s secrets – as well as offer genetic advice for her breeding. Now it’s possible to select for speed or for endurance. We shall also investigate bats, mice and Doctor Who on his 50th birthday. Or is it his 900th?!

Growing new fingers, kidneys, teeth? The most important innovation challenge we face. Two years after Fukushima. UK removing carbon from the energy equation. Impact of marine biofouling on durability of marine concrete. Shell grit used to suppress dust and as mulch.

The news that a team from the University of New South Wales has produced an embryo of a frog thought to be extinct went around the world. Professor Mike Archer tells how it was done using DNA from the gastric brooding frog. We also visit the jungles of Vietnam where a giant tree frog has been found. Is this part of the “gold rush” of new species to be found there?

Alzheimer's, depression and suicide risk from concussions. Celebrating the work of William Lawrence Bragg. Snoring in children. Solar lanterns replace kerosene killers in Africa. Batteries for electric cars. The sodium battery. Brook trout.

He found crystals which confounded the experts. Linus Pauling, the most famous chemist of the 20th century said he was crazy. But then Dan Shechtman did the experiments again and showed he was right. In 2011 he was awarded the Nobel Prize for chemistry. Now Professor Shechtman, from Technion in Israel, also teaches entrepreneurship – to classes of 600 students. Join him and Professor Edwina Cornish in a forum on bright ideas and business at Monash University in Melbourne.

Asia Pulp and Paper pledges immediate end to deforestation. The risks of mercury poisoning from fluorescent lamps. The role of metals in cells. Newton and the Counterfeiter.

Clouds help keep the Earth cool, but not cool enough. The Chandra X-ray observatory: from success to success. Gravity waves: the search and the promise. A better start for pre-term babies. Putting the flavour back into tomatoes. Ozharvest reduces waste and hunger.

Robotic devices can help paralysed people walk.

Dark Matter: are we on the cusp? SLAC: diffract before destroy. Testing the effect of colour on the ability to memorise. US climate and weather extremes. Lead in the environment - still a concern. Changes to human skin and hair.

The origin of cosmic rays. Obama promises more funds for research. Busting the myth that cattle calve in response to barometric pressure. Vegemite an acquired taste. Now we know when. An update on the planets. Scientific research remains strong in Europe. Chimps have high level cognitive abilities and social tolerance.

Paul Nurse - Making science work. Investigating Sudden Infant Death Syndrome.

Innovation in Australia part 3 of 3 - getting to where we want to be. Mango peels investigated for pharmaceutical components for weight loss.

Innovation in Australia part 2 of 3 - recent times. Carbon nanotubes - investigating bonds for additional strength and wider applications.

Innovation in Australia part 1 of 3 - early beginnings. Habits of perception - the implications of virtual environments.

New tunings for stringed instruments. A portrait of philosopher Karl Popper.

Cleaning up environments contaminated with uranium. Radiolab - Guts.

Drawing and modelling an extinct species. Radiolab - Colours.