Your U-1, P-2 Trigonometry Takeaways
Do you consider the Understanding-first right-angled trigonometry example to be valid?
Do you use a similar approach?
Are you inspired to adopt this approach ... or to modify the version you currently use?
Can you see how to apply these principles to other units of work so that you foster less passive learning and more active learning in your students?
Some past comments ...
Will Martinez
I like the idea of the brick wall strategy - Definitely something I use but always good to have an explicit reminder. I would make a few changes to the worksheet to encourage students to think and not make things too procedural. Adding in a question where students should use Pythaoras' Theorem, including angles/side lengths that are decimal, surds or algebraic, including an equilateral triangle and not including the size of the angle. Richard Adapt to your heart's content, Will. Glad to hear you are resonating. Maja Rogic
I thought this was the only way one can teach trigonometry :) Richard It is surprisingly uncommon, Maja. Did you work through it closely? Or did you assume from the start this is what you do so skipped it? Do you use an intyerleave worksheet as per the example? Maja Rogic Yes, I went through the whole thing and saved it. I’m terrible in memorizing things, that’s why I find it important to increase understanding of my students. And trigonometry, being a crucial part of further math studies, is the topic I pay special attention to. Hope it makes sense, I use interleave worksheets since that’s also how I’ve been taught. I had a great math teacher :) Richard You were one of the lucky ones!! |
Waris Huang
I like reading about using interleaved practice rather than blocked practice. I used to do a lot of blocked practice myself as a student and have seen students in auto-pilot mode with blocked practice and then make mistakes when shown with interleaved questions. It's a small area I didn't really notice until my director pointed it out and now I get a wholistic understanding on. I will definitely implement the strategy to my teaching. Richard Great to hear Waris! Enjoy. Michelle Millar
I've used these resources a few times and have found the students have a better understanding of Right-Angled Trig than by using more traditional methods - separating the ratios and teaching them individually at first. Richard Great to hear, Michelle. Do you apply these principles to other topics? If you haven't, are you now tempted? |