It takes time for children to differentiate between fact and wish. It takes time for them to realize that they cannot make something become so simply because they say it is so. After all, children hear adults say all manner of outlandish things, things that stun and amaze them. It must seem to children that [...]
I asked this group of well-educated professionals what they remembered from their own education about pi. Someone responded, “3.14159.” “You’re right,” I said, “that is the value of pi, but does anyone remember what pi means?” At once they seemed to adopt the sheepish demeanor of students in a traditional math class, each of whom is saying to him or herself: “I should know this but am afraid to answer because I might get it wrong. I hope the teacher doesn’t call on me!” To relieve their discomfort, I supplied the answer: “It is the ratio of the circumference of a circle to its diameter.”
As a classroom teacher, I remember fondly our studies in Human History: first examining and classifying the human animal; then drawing connections between our closest living relatives, and most recently to the epic stories of the earliest of humans and how they changed with and adapted to their dynamic living environments to suit their needs.