The innovators: the smart systems driving motorists towards smarter cities

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.

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.

Corporations concerned about their social and environmental impact must also consider the costs. Bcorps, a new form of corporation in the U.S., are using a rigorous certification process to gain consumers trust and boost sales.

New York City black tar roofs cause a number of environmental problems, including air pollution, heat absorption that raises energy consumption, and storm water runoff in the sewer system. Efforts to turn these old roofs into green spaces cool the buildings, enable the containment of more rainfall, reduce sewer discharge, generate energy, and absorb carbon emissions. New York City has a pilot program offering financial help for green roofs.

Although residents turn up their air conditioners, Louisville heat is increasing the city’s death rate by 39 people every year. The city mayor launched a tree commission for planting more trees and since 2011 has planted over 12,000 trees. The canopies from the tree offer cooling shade and bring down the temperature of the city as a whole. The response also includes the installation of green roofs and in-depth research on urban heat islands.

A follow-up article on Husk Power Systems, which has created a scalable system to turn rice husks into electricity that is reliable, eco-friendly and affordable for families in India. The company bases their business model around local involvement, grassroots systems that cater to the immediate community, and continual accountability. This article fills in some information gaps from the initial piece, "Fixes: A Light in India."

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.