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Math from Three to Seven
Math from Three to Seven: The Story of a Mathematical Circle for Preschoolers, Alexander Zvonkin (Moscow Center for Continuing Mathematical Education, 2007).
A clever student can often use psychological techniques to reverse-engineer what the teacher or the designer of the standardized test was trying to get at with the exercise, and answer it through a process of elimination or savvy guessing or pattern matching. Fortunately, Zvonkin is familiar with the latest research on developmental psychology, and turns lemons into lemonade by using the kids’ lack of numerical intuition to introduce them to some pretty deep ideas about when two sets have equal cardinality. Worst of all, the teacher docks points when the kids use techniques that they “aren’t supposed to know yet.” So Zvonkin throws himself full-bore into discomfiting and unsettling the pat answers they’re bringing home from school, emulating Socrates both in his methods and in his singular focus on corrupting the youth.
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