Principles Of Teaching In Mathematics

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During my over twenty years of math teaching career, I taught a lot of different courses to students with a broad range of needs, knowledge, and cultural backgrounds. I taught freshmen classes and high level Ph.D. classes. I even taught a course for university professors, on using computer technology in mathematical education at the Moscow State University in the eighties, where everybody in my class was at least twice of my age at that time. Several important general principles that I try to use in my teaching practice can be formulated as follows:
1. No matter how experienced a teacher is, every new class and every new student pose a challenge. For excellence in teaching, there is always room for improvement.
2. A teacher has to appeal to …show more content…

Being a successful teacher depends on creating a learning environment with the open exploration of ideas, a relationship in which students feel respected as well as challenged. Students should be encouraged to stretch themselves a bit beyond their level of comfort and be given an opportunity to leave every class feeling that they have overcome a new challenge successfully.
4. Teaching should be an integral component of the creation of new knowledge, an initial step toward continuing education, and first of all, self-education.
5. Though student satisfaction is important for better learning, teaching -- especially in mathematics -- should not become a popularity contest, or a show. A teacher is responsible to the society in general, and should resist the pressure of lowering academic standards in education.
Teaching of …show more content…

Grades are mostly based on evaluation of a content-learning. At the same time, I also implemented several ideas in my classes that seem to be not very typical:
1. Grades are never curved, thus, there is no limit of high/low grades.
2. I use multiple-choice tests and avoid giving partial credits in low-level undergraduate courses.
By enforcing these rules, I try to take my share of responsibility in the fight against the grade inflation, which became an evident problem in recent years.
My policy on retaking tests is unique in the department. Every student has a opportunity to retake every test; however, the grade can go down in the process if the student is not well prepared. I keep students fully informed of their progress during the semester, always announce final grades before the end of the semester, and give every student a last chance to improve the final grade during the week of finals.

Teaching and Technology

Technology is an essential and integrated part of my teaching. It is crucial for students to feel comfortable with the technologies that are becoming available; they need to know how to use a new technology effectively, what its limits are, and what to do when the technology fails. I am quite interested and familiar with recent innovations. Computer simulations and numerical experiments are traditional parts of many courses I

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