http://www.nytimes.com/2009/04/19/jobs/19math.html
I actually hate using rote techniques when teaching math, but there is something to be said for being able to execute an arithmetical calculation correctly over and over again.
I thought the part in the article about differences in spatial reasoning were interesting, particularly the part about spatial reasoning being teachable. If you are looking for challenging spatial reasoning questions, a good place to look is Perceptial Ability section of the DAT, or Dental Admissions Test. From speaking to some dentists, being able to look into people's mouths upside down and identify what is going on takes a lot of spatial reasoning, and so they are tested on this in their entrance examinations. I've only found a few links to practice questions like here.
I thought the part in the article about differences in spatial reasoning were interesting, particularly the part about spatial reasoning being teachable. If you are looking for challenging spatial reasoning questions, a good place to look is Perceptial Ability section of the DAT, or Dental Admissions Test. From speaking to some dentists, being able to look into people's mouths upside down and identify what is going on takes a lot of spatial reasoning, and so they are tested on this in their entrance examinations. I've only found a few links to practice questions like here.
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