How can i use the knowledge of the learner to be a better teacher?

I never considered this before I came to EDU 101, but is indeed a very important question in the life of a teacher. Every student learns a little differently. Every summer I go on to leadership conferences that discuss different learning styles as well as different ways to cope in given situations, such as choosing a positive attitude, etc. Children are either visual, auditory, or hands-on, or any combination of the three. Personally, I am hands-on. I have to do it, to learn it. However, my best friend, who I do a great deal of studying with, is not. She needs to keep hearing it over and over, so she reads each section aloud, or tells me for practice. Knowing this, I will try to come up with ways to incorporate different learning styles into my lectures. One way to incorporate hands-on skills, is to have students occasionally come up to the board to work out problems on their own, or with input from the class as a group. My lectures themselves will benefit auditory learners, as they will hear it over and over, and my visual learners will be able to see my explanations through diagrams on the board. A large part of trigonometry and calculus is diagrams and formulas so I don’t think incorporating different learning styles will be too difficult. However, finding activities to go along with the subject to break from the norm on occasion, may prove to be more difficult. But I have plenty of time to think of that.

Which brings me to my concern in this subject field. I am concerned that it may prove very difficult to find activities to break from the monotonous class work. EDU 101 has given me a few suggestions, such as stop and swap, however, I personally don’t see that applying to higher level math effectively, though I must admit, it is very clever technique indeed, and may prove useful. I am open to new suggestions, or ideas that could help me spark some neat math related activities.