recomendation letter

Aigerim a is careful, ambitious, and dedicated student who thus far has made exemplary grades She is a creative thinker with an eye for details and a devotion to logic. In class, she is a quick learner who is able to successfully develop plans and implement them. Furthermore, her sociability, positivity, lofty ambitions, honesty and kindness is well known by most everyone. Among her peers she differs with intellectual acumen and is always ready to help classmates by organizing and leading class reviews before exams, solving complex math problems and developing thoughtful opinions on varieties of issues.
Most students afterwards have taken time to share their comments with me regarding her pleasant and encouraging attitude.

According to these reasons, I highly recommend Aigerim Jetibayeva to continue her education abroad. She deserves to be educated in the best universities of the world.

I would recommend not using acumen, instead I would replace with a synonym ( I can't think of one that means the same thing myself), or replace it with a sentence to convey the desired meaning. Chances are the person reading the recommendation, even if he is an highly educated English speaker won't know what that word means. Its a pretty rare word in the english language and the chances of him whipping out a dictionary to look it up I think are pretty slim so the meaing you want to convey will be completely lost on him most likely.