Inside Greece's first smart city: 'Now you don't need to know a politician to get something done'

Can we improve the methods we use to teach math in schools — so that everyone develops proficiency? A grade-school math program is changing how children learn based on the assumption that all children can achieve a high level of understanding.

CitiStat has show great success in cities like Baltimore, where it has improved city services' efficiency (removing snow, fixing potholes, etc.). Many cities use Stat programs, but Baltimore has been a particular case of success. Looking at how it implemented its CitiStat program holds lessons for other cities.

Due to recent brain development research, educators are working to add more math education into pre-school and kindergarten classes. Studies show that children of this age are actually extremely receptive to numbers and learning geometry.

Critics in today's world often say that computers and technology are impeding the social skills of the very young. But Zoo U, a computer game for children, helps kids develop the skills they need such as empathy, impulse control, and communication.

Clean water and healthy ecosystems are becoming increasingly difficult to come by. With floating islands and other inventions, eco-entrepreneur Bruce Kania thinks that biomimicry - such as reconstructing wetlands and growing biofilms - can tackle the toughest of water problems.

Concerned with colony collapse syndrome in honey bees worldwide, scientists, farmers and tech companies teamed up in Australia to create a micro-sensor that collects data on the bee's environment.

In Memphis, a creative blight-reduction initiative called 25 Square Blocks broke down the city into blocks. Inspectors were able to quickly identify all the violations and fix them, using the same amount of funding, but less time, as the old call-and-respond model.

As a state with robust populations of wildlife, Montana has had its share of roadkill. Its Department of Transportation developed animal shelving, a type of wildlife crossing, to enable safe passage for small animals who need to cross the road. The measure, combined with other types of crossings, has reduced animal-vehicle collisions by half.

A Dallas urban neighborhood was dilapidated with abandoned storefronts and offered no vitality for pedestrians. A group of artists and community members created Build a Better Block, in which local artisans and small businesses took over a vacant block and transformed it for a limited time to encourage the ingredients for more permanent urban renewal.

Around the world, a new way of teaching and learning is gaining traction – and seeing results. Rooted in educational theory from the likes of Socrates, Piaget, and Montessori, this method is led by students’ curiosity and ability to learn and grow independently; essentially, the students control their own learning. Such methods make success more attainable in places like Matamoros, Mexico, who has seen exceptional improvement from students who experience learning this way.