The phrase or rather what we call quote is a philosophical quote given to the students to encourage them in their training or studies."keep your hopes high" means to hope big enough to make it true and "your dreams even higher" means to make your dreams more larger and bigger ,bigger than your usual hopes.
When you have high hopes it means that you are optimistic.
In this expression, the word "dreams" refers to your hopes and aspirations for the future rather than to the illusions experienced during sleep. It means that it would not be wise to set your hopes on a goal that is so high or so specific that you fail to consider other opportunities that might be better suited to you.
"High Hopes"
The Summer of High Hopes was created on 2006-05-12.
High Hopes - TV series - was created in 2002.
High Hopes - TV series - ended in 2009.
High Hopes - EP - was created on 2007-05-01.
'hopes' = espera (verb, e.g. 'he hopes') 'hopes' = esperas (plural noun, e.g. 'high hopes')
The duration of High Hopes - TV series - is 1800.0 seconds.
High Hopes - 2008 I is rated/received certificates of: USA:R
High Hopes - The SOS Band song - was created in 1982.
High Hopes - 2008 TV was released on: USA: 9 September 2008