Precalculus

SEE THE TEACHER NOTES FOR EACH PRESENTATION BY CLICKING THE STICKY NOTE BELOW THE PRESENTATION.

RESEARCH ON WHY IT IS ESSENTIAL THAT YOU USE ACTIVE LEARNING STRATEGIES, LESS LECTURE AND ENCOURAGE ALL OF YOUR STUDENTS TO ENGAGE IN MATHEMATICAL DISCOURSE:

Lecture is not the answer.

-Dr. Robert Kaplisky

"Have you ever heard someone say that teachers need to lecture more to students in middle or high school so they are prepared for being lectured to in college? I have and I’m guessing that you have too. While I think that people who say this mean well, I think that this belief is misguided at best. ...I believe we should be thinking of ways to do less lecture at all levels (including college) rather than acclimate students to it. While universities are held in high esteem, many of the professors who work there are primarily interested in research and have little training in education...Is it possible that the best thing we could do to prepare them is actually lecture as little as possible and instead spend more time on discovery, discussions, and active learning? "

KAGAN STRUCTURES ARE BRAIN BASED

-Dr. Spencer Kagan

"Because there is a strong need for multimodal input, if the academic content is presented in only one channel, for example, teacher talk, the rest of the student's processing will be on non-academic content including doodling, memories, fantasies, and attention to the hemline of the student in the seat in the next row! The more the content is presented mulitmodally, the more it will occupy the attention of students, and the more it will be retained."