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I learned about the math kits from the book, Reggio-Inspired Mathematics and grateful for the power of Twitter and the opportunity to directly connect with Janice. I asked and she kindly sent the list of materials for each kit. I will be putting together a set of math kits and sharing with my students the three formats for mathematical provocations. As described by Gandini (1998) provocation is something arriving by surprise. Provocation is a means for provoking further action. I like that the book links provocations and invitations as one in the same responding to the question about “what’s the difference” that I hear so often. Let’s get beyond trying to define them so discreetly and get onto the task of creating them in multiple formats.

NEW forms of media have always caused moral panics: the printing press, newspapers, paperbacks and television were all once denounced as threats to their consumers’ brainpower and moral fiber.

Experience does not revamp the basic information-processing capacities of the brain. Speed-reading programs have long claimed to do just that, but the verdict was rendered by Woody Allen after he read “War and Peace” in one sitting: “It was about Russia.” Genuine multitasking, too, has been exposed as a myth, not just by laboratory studies but by the familiar sight of an S.U.V. undulating between lanes as the driver cuts deals on his cellphone.

And to encourage intellectual depth, don’t rail at PowerPoint or Google. It’s not as if habits of deep reflection, thorough research and rigorous reasoning ever came naturally to people. They must be acquired in special institutions, which we call universities, and maintained with constant upkeep, which we call analysis, criticism and debate.