Positive Neutral Math teacher I have many positive experiences with math. Through elementary and secondary years, math was always relatively easy for me. I had some excellent math teachers. One woman in particular, was amazing (I believe grade 11 pre-calculus) and she was really an inspiration for me going forward. In any case, as a result of my 'natural' competence in math, I decided to pursue a BS in Math in University. I told my mother that I would be an engineer but I really liked the pure math. I have to confess that while a math degree seemed like a good idea in university years 1 and 2, by the time I was in year 3, the math grew far more difficult and I became less confident in my ability. In my senior year, I was responsible for preparing a thesis - as a requirement for graduation. I picked the thesis topic partly because I liked the teaching style and manner of the professor who was the expert in this field. My thesis on the ...
Thanks Ellen, Sue and Vincent! This is one of my favourite curricular topics.
ReplyDeleteI think the lesson you've planned is too long for the given time, and I would recommend dropping the review of sin, cos and tan at the start. It's not really part of this topic, and you don't have time to do a review.
In the main body of the lesson, be careful not too: a) concentrate TOO much on 'tricks' (as it can lead students to believe that math is all just a big list of meaningless magic tricks that you have to memorize exactly). Mind you, the tips and tricks you are showing sound very interesting -- they are ones I have never encountered!
b) Make sure that the lesson is not all just teacher-talk and explanation -- be sure to have some student participatory engagement, even in this short micro teaching lesson!
c) Make sure your 'hook' is more than just saying the topic of the lesson. (For just one possible example, can you offer some kind of interesting teaser about the fact that triangle trig is now going to transform into circles and sinusoidal curves?) The 'hook' should be brief but also intriguing.
c) I don't think you'll have time to deal with ACTS/ CAST and the signs of the four quadrants in this very short lesson. Stick to what can actually be accomplished in 15 minutes, rather than trying to pack in more! It will give you space to really do a good job with the teaching.
Thanks! Looking forward to a great lesson.