Mathematical Concepts Through Images

What I’ve Been Reading:

I’ve been putting off this post for a long time.

I’ve never used images in my teaching before; nor have I, before, really considered using images in my teaching. So, because of this, it was tough to get started on this post.

Anyway…

The following animation I came across one day on Wikipedia when I was reading about pi.┬áIt demonstrates the relationship between diameter, circumference and pi………. very effectively.

This (the relationship between diameter, circumference and pi), from my experience, is something students have trouble understanding/visualising.

The current book we’re using in class doesn’t do a great job of explaining this relationship. And, to make things harder for the students, I too have a tough time explaining it.

It’s (the animation) something I’m definitely going to use next school year when I teach area of a circle again.

The next image, I’m planning to use when I teach functions again next school year.

In many ways, a function is comparable to a machine (or at least this type of machine) (and by the way, I have no idea what this machine does.) They both take an input. They both do things to this input. And, finally, they both give an output.

I might need to photoshop input and output arrows into the image. Input on the left and output on the right. I might also need to photoshop a function into the image (just above the machine) so that students better understand the analogy.

Image Credits:

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