Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.
A scathing portrait of an urgent new American crisis Over the last two decades, America has been falling deeper and deeper into a statistical mystery. As poverty has gone up, crime rates have come down, but the prison population has doubled. Meanwhile, fraud by the rich wipes out 40 per cent of the world’s wealth — yet the rich get massively richer, and no one goes to jail. In search of a solution, journalist Matt Taibbi discovered the Divide, the seam in American life where two troubling trends — growing wealth-inequality and mass incarceration — come together. Basic rights are now determined by wealth or poverty, allowing the hyper-wealthy to go unpunished, and turning poverty itself into a crime. In The Divide, Taibbi takes us on a galvanising journey through both sides of the justice system. He uncovers the startling looting that preceded the financial collapse, and the story of a whistleblower who got in the way of the largest banks in America, only to find herself in the crosshairs. On the other side of the Divide, he shows how the newly punitive welfare system treats its beneficiaries as thieves, while stop-and-frisk practices have led to people being arrested for standing outside their own homes. Through these astonishing — and enraging — accounts, Taibbi lays bare America’s perverse new standard of justice: a system that devours the lives of the poor, turns a blind eye to the destructive crimes of the wealthy, and implicates us all.