Self-Directed Learners Live in a State of Alert Awareness

Psychologist and author of the book Changing Our Minds, Naomi Fisher, once told me that her three-year-old son took an early interest in numbers. One day as they walked together through their neighborhood, he noticed the house addresses. "Did you know," he asked his mother, "that there are lonely numbers and friendly numbers?" He had, she said, "discovered odd and even numbers."I doubt there is an educator on earth who would "teach" this mathematical concept in these terms. Indeed, most school curricula don't introduce the idea until first or second grade when children are twice Naomi's son's age, and even then it's typically done using the dry convention of numerals and ciphering, rather than the rich, relevant metaphor of lonely and friendly numbers on a street of houses.As a preschool teacher, I've known hundreds of children who discover mathematical, scientific, literacy and other concepts well before they're "supposed" to. Parents have been taught by our educational system to…