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**The MindYourDecisions blog (Video below) presents the PARADOX beautifully. **

**Now consider the example of the coin rolling around a coin of the same size. Intuitively we think …’OK. Same circumference, so the coin will rotate once as it rolls around a same-size coin. But this doesn’t happen. It rotates twice.**

**This observation is SOOOOOOOO counterintuitive we have to know why?…**

**Mr. MindYourDecisions doesn’t explain why this happens. The answer is interesting. The relevant point in the ROLLING COIN PARADOX is the centre of the rolling coin. The rolling coin rotates about that point. And that centre (the red dot in the gif below) moves through a circle twice the circumference of the stationary coin. It is much easier to understand when you see it. (Below)**

This idea comes from Burkard and Giuseppe @ the fabulous MATHOLOGER channel. Students can make a pattern called a cardioid that pops up all over math according to Burkard.

Follow these steps. There is a pdf file below the first diagram for printing exercise sheets.

And then watch the MATHOLOGER video for a really interesting explanation.

**x2 Tables on a Circle pdf file for printing**

**This circle graph blank could also be used for x3 and x4 tables, ****which produce totally different yet equally amazing patterns.**

Halfway there, now it gets tricky. +52 to each point on the circle and keep multiplying by 2.

ie. 27 x 2 = 54, 28 x 2 = 56 and so on.

so 0 = 52, 1 = 53, 2 = 54, 3 = 55, 4 = 56 etc

This shape is called a CARTIOID.

Read longer version of Hugo Does His Homework here.

So Mathspig is helping the kid next door with Grade 11 Math.

Here is the revision Q:

This is the sort of Q that makes students hate ALGEBRA. (Solution by Mathspig below)

POINTLESS

GRINDING

HEADACHE INDUCING

This equation looks like a chicken ran through some ink and ran across the page.

Why do so many MATH work sheets look like this?

The result:

One way to tackle a long and complexmath problem is to **defront the classroom** and solve it in groups.

Here is the Q in orginal form:

NOTE: With a proof, you have to prove that one side of the equation

equals the other.

We are good at graphs in maths, even funny graphs, but we often forget the power of story telling. Here’s a story about HOW NOT TO DO your MATHS HOMEWORK*.

*NOTE: Homework has never been recorded as the cause of death of a 13 year old.

Read longer version of Hugo Does His Homework here.

Adam R McCausland is a Belfast-based graphic designer whose stunning works incorporate maths themes.

Here is his work (below) titled Fibonacci / Poinsettia

This work (below) is titled: At theHeart of it all. I’ve never seen mirrored Fibonacci curve before. Fascinating.

You can find more of Adam’s inspiring maths art works** here**.

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