1. Both are correct. I would use "while", as I normally do with the past continuous.
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Thinking Spaina) My child windsurfed when the wind was still blowing.Like Philip, I prefer the second. It's hard to say that the first is really wrong, but it doesn't seem quite right, and the word still is what is odd.
b) My child windsurfed while the wind was still blowing.
Are both correct?