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Reaching All Students Resource Book |
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| Mathematics: The Universal Language of Science84 | ||||||||||||||
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Acknowledgements I. Preparing to Teach III. Teaching-as-Research IV. Appendices
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In the fall of 2001, when I was assigned to be a graduate student instructor for Statistics 205A for the second time, I was determined to change my teaching style. Statistics 205A is an introductory graduate-level course on classical probability theory. In recent years, however, students from a wide variety of fields have taken the course. Besides having statistics and probability students in my class, I had students from electrical, mechanical and civil engineering, operational research, economics, computer science and sociology. It was a challenge to make such a diverse group of students realize that the study of probability theory would be useful to them in their fields. This was particularly difficult because the course did not have any discussion hours. To handle the problem, I realized that I needed to have some discussion hours where I could meet with the students regularly. The professor teaching the class was very supportive of my idea, and the students also responded positively to the suggestion, so I started holding three hours of discussion every week. My job was to motivate the students and help them understand the difficult and involved concepts of classical probability, so I decided to treat the discussion hours as though they were language study sessions. The most important part was to make the students realize that what they were learning was not just abstract nonsense but part of a universal language, which would give them the necessary skills to “communicate” regardless of their different academic backgrounds. In each session, I led the discussion by pointing out various important interpretations and applications of some mathematical concepts or problems. This automatically elicited spontaneous responses from the students, which almost always ended in a debate in the language of mathematics. This way, they not only started “talking” in mathematics but, while doing so, they also started appreciating the need of this rather precise language. In addition, I gave them language drills to give them confidence in the skills that they were developing through this exercise. Many times, I asked sudden questions or gave them quizzes, which they had to discuss among themselves and then answer. This also helped them to commit the fundamental ideas to long-term memory. It was quite apparent from the great enthusiasm and student participation in the discussions that this new teaching style was effective and helpful. I also found from individual meetings with students during office hours that they were happy with the new learning experience. The final confirmation of the success of my teaching came at the end of the semester through the course evaluations. I was pleased to receive lots of positive comments from the students and not a single complaint. But the best reward I received from teaching Statistics 205A came a couple of months ago, when I ran into a student from my class who told me that she would definitely take another course on probability theory if I were teaching one. |
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