Z.'s teacher relates a story to us, as to why she knew Z. was ready for advanced math. She gave Z. a problem, paraphrased as such: Two kids are having a birthday party. Aaron is 6, Beth is 3. How many candles should they have on their birthday cakes? Z. answered 11. Her teacher asked why, and Z. replied that they each needed one more, so he would need 7, and she would need 4, which adds together to be 11. Her teacher explained that, yes, that was correct after all.