Categorically NO! I am a woman, I live in Iran, I go skiing EVERY week, I wear the same gear I wear when I ski in Europe or in the US. I am never, ever accompanied by men.  Funnily enough, the slopes are the least 'Islamic' places in Iran and it is really amazing to see what young (unmarried) men and woman get up to there - it would make any Westerner jealous.  There is house music playing at the ski lodges as well as at the ski-lifts....The NY Mag article could not be further from the truth.