Based on the passage, problem-solving is a multi-step process that leads us from a question to the right answer. The steps include representation of the problem, figuring out the possible options, choosing a strategy, and taking an action. The professor explains how having a break can boost this process and help us to find out the correct answer.
For the beginning, she states that sleeping on a problem may help the brain to better digest the input information. She gives the example of the Benzene chemical structure to further illustrate her stance. The chemist who discovered the arrangement of carbons in a Benzene molecule owed his discovery to a dream he had about it. This agrees with the point made by the passage that indicates how fixation and holding to a specific way of thinking may hinder our brain from considering all aspects of a problem.
Moreover, the professor highlights that letting our mind relax and be released from concentrating on a problem, usually results in emerging views that we may unintentionally neglect. It seems that when we are not preoccupied with a problem, our unconscious mind sends out some new signals. She illustrated her point by telling about a dome-shaped structure that was too complicated to be designed by routine methods. However, the designer found out how to use triangular-shaped parts to execute the final structure. The passage also mentions that we tend to solve the problem the way that we habitually do. 
Based on the passage, problem-solving is a multi-step process that leads us from a question to the right answer. The steps include representation of the  
problem
, figuring out the possible options, choosing a strategy, and taking an action. The professor  
explains
 how having a break can boost this process and  
help us to find
 out the correct answer.
For the beginning, she states that sleeping on a  
problem
 may  
help
 the brain to better digest the input information. She gives the example of the Benzene chemical structure to  
further
 illustrate her stance. The chemist who discovered the arrangement of carbons in a Benzene molecule owed his discovery to a dream he had about it. This  
agrees
 with the point made by the passage that indicates how fixation and holding to a specific way of thinking may hinder our brain from considering all aspects of a problem. 
Moreover
, the professor highlights that letting our mind relax and  
be released
 from concentrating on a  
problem
,  
usually
 results in emerging views that we may  
unintentionally
 neglect. It seems that when we are not preoccupied with a  
problem
, our unconscious mind  
sends
 out  
some
 new signals. She illustrated her point by telling about a dome-shaped structure that was too complicated to  
be designed
 by routine methods.  
However
, the designer found out how to  
use
 triangular-shaped parts to execute the final structure. The passage  
also
 mentions that we tend to solve the  
problem
 the way that we  
habitually
 do.