The oversized yo-yo that’s not connected to the string is called the Diabolo. Some people mistakenly think that the name comes from the Spanish word for “devil”, which is diablo. But the case is quite to the contrary. The Spanish word came later etymologically, since “Diabolo” comes from the Greek for “throw across”. Check out the Wikipedia article to read more about the history and use of the Diabolo: http://en.wikipedia.org/wiki/Diabolo . Also known as “the Chinese Yo-Yo,” this toy is a favorite among the kids at camps at which I speak. They love to see the tricks, try the tricks, and show their friends their new skill. It’s not easy, but with 30 minutes to an hour of instruction and practice, many kids can spin it well and even do a few tricks, such as the toss and catch.
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Here is a picture of a class at Camp Riverbend in Glen Rose, TX from a few weeks ago: