It was a such a privilege to have Craig in studio. He's one of those people who reignite the passion for teaching Mathematics. My only regret for the show is that we weren't able to talk more. In these blog posts, I try to focus on one part of the discussion that stood out for me. In this case, my head is still spinning and it's difficult to choose. | |

I suppose on of the most practical points was to teach trigonometric functions as an extension and a merge of the previous sections, trigonometry and algebraic functions. By doing it this way, you can revise the trig ratios and the effects of 'a' and 'q' on algebraic functions while teaching about the shapes of the parent trigonometric functions.

But, before I get too wrapped up in what we spoke about, let me put down the information from the slides.

Mindset resources on trigonometric functions:

www.youtube.com/watch?v=Wak8sOBkMZI

www.youtube.com/watch?v=NKXsVx4k3MU

www.youtube.com/watch?v=Bkg9tAuEvQE

www.youtube.com/watch?v=Wak8sOBkMZI

www.youtube.com/watch?v=NKXsVx4k3MU

www.youtube.com/watch?v=Bkg9tAuEvQE

Geogebra links:Unit Circle and Sine Graph:

http://www.geogebratube.org/material/show/id/8028

Unit Circle and Cosine Graph:

http://www.geogebratube.org/material/show/id/8029

Unit Circle and Tangent Graph:

http://www.geogebratube.org/material/show/id/8030

http://www.geogebratube.org/material/show/id/8028

Unit Circle and Cosine Graph:

http://www.geogebratube.org/material/show/id/8029

Unit Circle and Tangent Graph:

http://www.geogebratube.org/material/show/id/8030

Craig's list of good ideas:

- Emphasise the repeating shape of graphs
- … so extend the domain

- Strengthen 3 key aspects of functions
- Range
- Vertical stretch
- Vertical shift

- Range vs amplitude

Craig's 3 pressure points:

- Trig equations is “trig without triangles”
- … but we must show the links to triangles

- Inputs and outputs are different kinds of quantities
- angles and real numbers

- Confusion between x and Θ (theta)
- angle vs x-coordinate

Craig's 5 point teaching strategy:

- Revising definitions of trig ratios and key aspects of functions
- Introducing graphs
- y = sin Θ, y = cos Θ
- y = tan Θ
- Transformations of y = sin Θ, y = cos Θ
- Transformations of y = tan Θ
- Graph interpretation

Other resources I just happen to have found through the years:An explanation of the unit circle: http://www.mathisfun.com/geometry/unit-circle.html

A note on the unit circle: http://www.regentsprep.org/regents/math/algtrig/ATT5/unitcircle.htm

An online course for trigonometric functions: http://www.mathtutor.ac.uk/functions/trigonometricfunctions

A note on trigonometric functions: http://mrhomer.hubpages.com/hub/Trigonometry-graphs-of-sin-x-cos-x-and-tan-x

A textbook chapter on trigonometric functions: https://everythingmaths.co.za/grade-10/05-functions/05-functions-06.cnxmlplus

A note on the unit circle: http://www.regentsprep.org/regents/math/algtrig/ATT5/unitcircle.htm

An online course for trigonometric functions: http://www.mathtutor.ac.uk/functions/trigonometricfunctions

A note on trigonometric functions: http://mrhomer.hubpages.com/hub/Trigonometry-graphs-of-sin-x-cos-x-and-tan-x

A textbook chapter on trigonometric functions: https://everythingmaths.co.za/grade-10/05-functions/05-functions-06.cnxmlplus

After the show, Craig, Dylan and I had a long conversation about teacher's professional development. I reflected for quite a while on this...

As you know, I started off in the classroom. This means most of my friends are teachers or are involved in education in some way. As we get older, I see two distinct groups developing.

Some of them get stuck in their classrooms. They are good teachers, and they use that as a reason to not do any extra professional development. These teachers usually end up losing that spark, the creativity and the joy in educating learners.

Others (and this tends to be the minority) pursue their own professional development. These teachers are more like you. Even though they are already good, they want to be better. They want to find more effective ways to teach and stay inspired in their profession. It is up to teachers like you to help the teachers stuck in their classrooms. Give them something to be excited about again.

Please let me know your thoughts on this, either by tweeting #vtmaths, or by posting a comment.

Until next time, happy teaching!

As you know, I started off in the classroom. This means most of my friends are teachers or are involved in education in some way. As we get older, I see two distinct groups developing.

Some of them get stuck in their classrooms. They are good teachers, and they use that as a reason to not do any extra professional development. These teachers usually end up losing that spark, the creativity and the joy in educating learners.

Others (and this tends to be the minority) pursue their own professional development. These teachers are more like you. Even though they are already good, they want to be better. They want to find more effective ways to teach and stay inspired in their profession. It is up to teachers like you to help the teachers stuck in their classrooms. Give them something to be excited about again.

Please let me know your thoughts on this, either by tweeting #vtmaths, or by posting a comment.

Until next time, happy teaching!