take on board

15. PHRASE : V inflects

If you take on board an idea or a problem, you begin to accept it or understand it.

• I hope that they will take on board some of what you have said.
  

... Cobuild

take on board something:

to understand and accept ideas and opinions which may change the way you behave in the future:

• Banks need to take on board the views of their customers.  
• It seems that young people are finally taking on board the message that it's not cool to smoke.

... Cambridge Idioms Dictionary