What finds its way off the shelves of the chains is not what disappears from stores like Boomerang in TriBeCa, or Mary Arnold, the 81-year-old toy store on the Upper East Side. At those stores, the best-selling product of recent years has been something called Magna-Tiles, geometrically shaped magnetic tiles that allow children to imaginatively build virtually anything but what, in my experience, often turns out looking like the Crystal Cathedral in Southern California. Last Christmas, a flood near the factory where the tiles are made in Asia caused a shortage and a rise in price, with boxes of tiles, which usually retail for roughly $1 a tile, going for hundreds of dollars on eBay. By Dec. 12 last year, Ezra Ishayik, the owner of Mary Arnold, told me, he’d sold $20,000 worth of tiles and had run out.

Magna-Tiles are not sold at Toys “R” Us. Uninterested in sharing company with licensed products rendered in offensive colors, manufacturers like these resist the taint of the mass market, selling instead in museum gift shops and small, aesthetically palatable shops that draw from a narrow slice of our demographics. At the same time, as Sean McGowan, a toy industry analyst at the investment bank Needham & Company explained it, the market for educational toys is never quite as big as we would like it to be. While a company like Toys “R” Us carries educational toys, over time its commitment to promoting them has eroded, he said.