dear sir:
i strongly recommend miss × for admission to your graduate program. she has proven herself an excellent student not only in my class but also in other major courses.
she was a former student of mine in the course of mathematical analysis during the second semester of the academic year 1991-1992. she is brilliant and she capability of abstract reasoning is above most of her peers. i still remember it was always she who first raised her hand and answered the difficult questions. apart from this, she was eager to learn and always had many new ideas out of my expectations, some of which reflected her originality and independent thought. at the end of course, she achieved a high score of 98 and surpassed all the other students in the class.
in my 30-year teaching career, miss × is an unusual student with surprising stamina and perseverance toward goals. just depending on this fine qua×ty, she—a girl born in a small mountain village—has grown up to be an outstanding student in a famous university step by step.
miss × not only shows energy and initiative in her work, but she is also flexible and adaptable. she possesses an outgoing personality which will assist in her greatly in adapting herself to a long term of overseas study.
all in all, she is quite qualified for graduate study and your admission of her application will be highly rewarded.
sincerely yours,
senior professor of mathematics