There was a consensus view that stock market tends to trade sideways before the Fed tightening cycle begins. Based on that view, earlier in 2010, many analysts predicted the first half of 2010 will see volatility rise in stock market, and major indices will trade sideways. Morgan Stanley predicted that in 2010 stock market will behave in similar ways as 1994 and 2004, in both years Fed stopped expansionary fiscal policy by starting to raise Fed funds rate.
Comparing with 1994 and 2004, 2010 shares strong economic recoveries reflected in the form of improved corporate earnings, however, 2010 suffers a much higher unemployment rate (9.7% ytd vs. 6.1% in 1994 vs. 5.5% in 2004). What's more, unemployment is expected to remain high for an extended period of time. Based on history, Fed wouldn't start tightening cycle before unemployment rate drops below a certain level. So it's possible for Fed to keep rates at near zero level for extended period of time. If that's happening, how will stock market behave then? To answer that question, I decided to take a look at the relationship between Fed tightening cycle and stock market performance from timing perspective. The discoveries are interesting.
In 1994, Fed started to raise rate in February, almost at exactly same time, the stock market started to correct. After a 9% correction, S&P traded sideways until November, then staged next leg up for new highs.
In 2004, unlike 1994, S&P 500 started correction well before (5 months to be exact) Fed started tightening cycle. The full correction lasted about half a year and registered ~8% drop from top of the previous rally to the bottom of correction, and the period lasted ~6 months.

So to answer the question of whether stock market will enter the correction stage with high volatility right when Fed starts tightening, the answer is no, stock market may start to correct well before the Fed tightening cycle starts. It took 10 years for US economy to go from one recession to the next one last time, this time it took only 6 years. In previous recovery, S&P 500's correction preceded Fed tightening cycle by 5 months, in this recovery, this time window may be longer, in other words, S&P 500 may start correction more than 5 months before Fed starts tightening. All the interesting historical facts indicates that US economic growth are increasinly dependent on Fed's expansionary fiscal policy which are like drugs relieve addicts for the short term but not healthy to them in the long term, as a result, recessions happen more frequently, and in each recession, Fed needs to take longer time (increase the dose) before it could start tightening.
S&P 500 reached 1150 on Jan 19, then corrected to intra-day low of 1044 in early February, now it's back to 1150. Based on history, I feel hard to believe S&P 500 remain in rally mode after this point since it's likely we are only 2 months into the 6-8 month sideway trading period.
Disclosure: author long SDS, QID and DXD at time of writing