Where my niece got her non-commutative model of multiplication
Along the way, a curious thing happened. My niece saw a 6×2 rectangle, horizontally oriented, and wrote 6 x 2 next to it, and saw the same size rectangle, vertically oriented, and wrote 6 x 2, then crossed it out to write 2 x 6 (my sister-in-law thought to “correct” her, but I asked to leave it alone).
Last week I went to my niece’s school, where she goes as a 3rd grader, and where I went as a 3rd grader, in a city 70 miles from New York. I visited math classes at several grade levels. And here is what I found in a second grade class:
I also found a woman who was friends with my nursery school teacher’s daughter. And I learned that my teacher is still alive and kicking. I’m going to dig out some old photos and pay her a visit. And thank her.