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      Dear Professor:
      Miss xxx requested a letter of reference from me to support her application for graduate studies at your university. As her tutor when she prepared her project design for graduation, I am pleased to comply with her request.
      I became acquainted with Miss xxx when I met her beautiful writing on her mathematic assignments and I remembered her name at once. When I taught her, she always sat on the left place behind the classroom, then I asked her why, she answered me that she likes to see all corners of classroom with smiles on her face. But I was astonished by her learning ability; she listened to my lesson with her thought, especially when I taught them some emphases and difficulties of the course, she always listened to me earnestly and recorded these difficulties on her note carefully, after class, she came to me and talked about these questions which included some principle of mathematics, I was impressed by her unique views about mathematics which reflected her thought and logic better than other students.
      It was worthy to mention her learning ability on mathematics, for example, I didn’t finish my predication logic lesson because of limit time and just simply mentioned the concept, when I checked students’ assignments and found only she gave me prefect answer with deductive ways and her thought was very clear. Meanwhile I was gratified by her apperception ability and self-taught ability, she was a girl with nimbus and big potential. Besides her apply ability was also very strong. In her junior year, she took part in my teaching reform project which analyzed the result of improving mathematic teaching quality. She was so familiar with the model of mathematics that she suggested that we may choose AHP model instead of normal faintness judge way to carry on quantitative analysis, and I accepted her suggestion and finished together the paper of “arrangement analytical method applies on the classroom interaction teaching effective comment” which will be published in the future.
      Miss xxx told me that she will apply for finance engineering which is a new field for her. I am glad to recommend this excellent girl who already possessed good quality and strong ability. I therefore lend her my enthusiastic support and would appreciate you favorable consideration of her application.
      Sincerely yours
      Dear Madama/Sir:
      When Miss xxx requested a letter of reference from me to support her application for graduate studies at your esteemed university, as her teacher, I am pleased to write this letter for her.
      I got to know xxx when she took part in National School of Mathematical Modeling Contest in 2005. Exactly, the time was one hour before the contest be over. At that time other groups already handed over the paper and program to person in charge and only her group around the computer amended something, I came to remind them of hurrying up and found that they were amending the map which I felt very good and also accorded with the paper requirement. When I asked her what she did, she said that she put several cities on the wrong places so she must correct them. She checked it again and again, before ten minutes the contest would be over and her group handed over the map. I was impressed by her clinging spirit which made her group win the second prize in the mathematical modeling contest.
      The second time of meeting her was that I reviewed practices things in her class. When I saw her, she only one stayed in the class to consult materials, I asked her why other students couldn’t stay with her, she said that other students were cold and she let them go to back to have a rest. She already found out a new arithmetic but didn’t use it masterly, so she used three computers to check the results by changing parameters. The quantities of data were so large that I couldn’t believe she was able to finish the task, while I was surprised by her confidence and ability, she finished them on time. I was impressed by her spirit on academy again.
      At her junior year, I taught her mathematic modeling course, she treated it very earnestly and she always finished each practical subject perfectly. Such as, after I gave her some key guidance, she classified the knowledge needed for study and listed the best methods to acquire knowledge on this field and finished it efficiently.
      Recently I got to know she will apply for financing engineering and I was glad to tell her that if she connects theory with practice, she will exert mathematical character better. I strongly support her decision and hope my recommendation will receive your favorable consideration.
      Sincerely yours
      Professor xxx
      Dear Colleagues:
      As a teacher in Department of Biology, Nankai University, a leading university in China, I am very pleased to take this opportunity to recommend one of my favorite students to your PhD program.
      In September, 2004, Miss Zhang was my students in General Biology, the first professional course they take in the field. She likes it very much. I teach her in an open and interactive manner, she is active and passionate about answering class questions. Miss Zhang is bright, energetic and enthusiastic girl who loves speaking out her own ideas. She never escapes from those points of which she is skeptical. Apart from that, she often puts forward her ideas upon questions and exchanges all of her innovate ideas with me after class.
      Upon ending of General Biology course, I asked my students to write an essay upon their understanding of biology. I discovered Miss Zhang’s essay was so impressive and persuasive; her careful essay comes from dozens of references to Biology literatures. In essay Miss Zhang stretched out her creative thinking upon status quo of biological research and branches in the field of biology. All of this speaks to her creative and logical and scientific thinking capability. I am gladly to say that Miss Zhang has a clear understanding about General Biology, that comprehension has been reflected fully in her essay. Therefore Miss Zhang got a full point for her essay in her class, and other students took it as model essay for granted.
      I believe Miss Zhang’s industriousness, passion and dedication will make her an ideal candidate you are seeking for your program, so I highly recommend her without any hesitation to you. And I will greatly appreciate it if you could accept her into your program.
      Sincerely yours,
      Prof. ×××