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.

For-profit companies are making good private schools available even to Africa’s poor. They can do it – and can do it on an enormous scale – by hiring neighborhood residents to teach, and scripting out every word of every lesson on an e-reader.

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.

Cities save money and help kids by connecting them with diploma programs. In Washington, iGrad is helping students do just this – and seeing results.

To decrease the chance of formerly incarcerated individuals relapsing and ending up back in the prison system, the J.F. Ingram State Technical College in Alabama offers correctional education and vocational programs. This training has aided those incarcerated with life skills for after their release, decreasing the likelihood that they will relapse and increasing the likelihood that they will better adjust to their community.

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.

PowerMyLearning, a program that any student, parent, or teacher can use for free, helps students take ownership of their own learning. When most attention is being placed on teacher effectiveness, this program redirects those efforts toward students.