Children are getting dumber and dumber, as we are allowing them to watch tv at a younger and younger age. Crows can pass a cognitive test and are likely much smarter than some children. Many animals are proving to be smarter than we thought, and it is well known that Gorilas understand language.
Most people don't like to admit, or even hear someone else admit, that humans are morons for the first few years of their life. Crows are intelligent enough to understand, for instance, that a nut that is too hard for them to crack can be dropped on a busy road and will be opened by the first car to run it over. Children are notoriously unintelligent, things have to be routinely explained to them in order for them to understand it. Crows are smart enough to solve puzzles with no explanation for why they're there or that it is even a puzzle.
The remarkable success of some crows at solving difficult problems … is very similar to [individual variation in] the performance of humans. In a battle of wits, could a bird outsmart a kindergartner? Don’t be too quick to say no: One clever young bird solved a problem that has stumped 5-year-old children, according to a new study.
While crows are certainly intelligent, I don't think it is fair to say that crows are smarter than children based off of one cognitive test. Plenty of animals (monkeys and dolphins, to name a few) have been proven to be capable of performing a variety of menial tasks, but they are able to do so because they are conditioned and trained. These types of animals simply lack the brain power that allows them to critically think in random situations and that is why crows scientifically are not smarter than children.
No, crows cannot be smarter than people, i.e. children, but they can be as smart as children. There are many stories in different cultures about smart crows. It is a common belief that children's stories are not always 100% made up, many information presented in children's stories are actually facts.