I started writing a new draft titled "Why Does Exploding Dots Work?" and would love to get your comments, whether I receive them before or after I publish the essay on my blog (late on the 16th or early on the 17th). As usual, I prefer to get responses via email, since then I'll know who you are and can respond if I have follow-up questions. Thanks! Jim Propp <https://mathenchant.wordpress.com?p=2354&shareadraft=5b214e16a08c9> Title: Why Does Exploding Dots Work? Beginning: A few months from now, if James Tanton and his Global Math Project co-conspirators have their way, ten million schoolchildren will take a huge mathematical step backward from the twenty-first century into the Bronze Age: instead of using a gadget with a state-of-the-art interface (say, a telepathic ... Read more: https://mathenchant.wordpress.com?p=2354&shareadraft=5b214e1 6a08c9