Welcome to the Mathematics and Multimedia Blog Carnival 6! Many thanks for Math Hombre for passing on the baton from their excellent Fifth Edition.

Six is a fantastic number, in fact, it’s a Perfect Number! It’s the smallest Perfect Number!

Before we dive into the best December posts from the Carnival submissions I’m going to set you a challenge! All the pictures in this edition of the Blog Carnival have a link to the number 6. Can you find all the links? If so, post the answers in the comments section below!

There were only a limited number of entries for this month’s carnival. Don’t worry; I have topped up the selection with my own finds from the outer reaches of the maths-edu-blog-o-shere…

So without further ado, here we go…

### 1. Connection between and among different mathematical concepts

Guillermo Bautista presents The Unfinished Game Problem posted at Mathematics and Multimedia looking at connections between different concepts in probability.

The simply wonderful Let’s Play Maths blog posts a gorgeous visual proof video of Pythagoras’ Theorem. This connects the famous theorem with the concept that if you skew a rectangle to form a parallelogram the area doesn’t change.

### 2. Connections between maths and real life; use of real-life contexts to explain mathematical concepts

Arthur Charpentier posted about Lottery, and martingales to investigate interesting probabilities in the French Lottery.

The excellent School 2.0 in SA blog provided many links to websites that contain real-time data. Perfect for engaging statistical investigations with your pupils?

Jason Dyer from the superb Number Warrior blog sets the pupils a challenge to prove a hilarious human-water-rocket video is a fake.

Rebecca Zook blogs about why it is cool for girls to like maths and real-life contexts to engage them.

A fun blog post from the well-known Mr Dan Meyer about when adding context doesn’t quite work. Context for context’s sake?

### 3. Clear and intuitive explanation of topics not discussed in textbooks, hard to understand, or difficult to teach

In David Cox’s wonderful Questions? blog he shares some fascinating insights into ways to teach conceptual understanding of volume. The pupils in his class sound like those we all dream of teaching!

The highly entertaining and always insightful Kate Nowak shares here masterclass on teaching Log Laws. I love reading Kate’s blog as she always presents fantastic ideas with such humour!

### 4. Proofs of mathematical theorems in which the difficulty of the explanation is accessible to high school students

David Cox gets another mention with an excellent post about how a high school student reasoned that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Cut the Knot presents an interesting explanation of calculating the area of parallelograms including a nice use of an interactive dynamic geometry applet.

### 5. Intuitive explanation of higher math topics, in which the difficulty is accessible to high school students

Alexander Bogomolny presents Is Mathematics an Exact Science? posted at CTK Insights. Whilst the question here is more philosophical than mathematical, high school students could appreciate some of the arguments put forward. A fascinating debate!

### 6. Software introduction, review or tutorials

Gary Davis posts about Han’s Rosling’s excellent Gapminder software in action as a way of using this wonderful software to improve the teaching of statistics. Is this a whole new revolutionary branch of mathematics called ‘Sexy Statistics’?!

Will Emeny of Great Maths Teaching Ideas presents how teachers can ease their ICT worries using the fabulous and free, Dropbox.

### 7. Integration of technology (Web 2.0, Teaching 2.0, Classroom 2.0), in teaching mathematics

Mr H builds off his earlier post, Doodling in Maths Class by creating a fantastic Geogebra animation tool for exploring patterns in maths doodles. Fun and shows off what can be produced with the excellent Geogebra.

Forget bringing Web 2.0 technology into the classroom; that was so last year! Steve Wheeler presents the future of the internet in education in Web 3.0 and onwards.

P Donaghy shares the very impressive Illuminations website that features hundreds of ICT tools and activities for maths topics across the whole curriculum.

### A bit of fun

John Cook presents Two kinds of generalisation posted at The Endeavour. I love the comment that asks “Isn’t this itself a generalisation? And if so, which sort is it?”!

I bet you’ve never seen fruity polyhedra before!

“Hey son, shall we go make a three pendulum rotary harmonagraph?”. In my opinion this guy would be the coolest dad ever!

### A thought to finish on

We must of course be careful with how far we integrate technology into our classrooms: “Hi, I’m your new maths teacher!”

I hope that you have enjoyed edition 6 of the Mathematics and Multimedia Blog Carnival. If you are interested in hosting the Carnival on your website please vist the Mathematics and Multimedia Blog for more information. Everyone is invited! The next edition will be hosted by Keeping Mathematics Simple and will be posted on 31st january 2011. To submit your blog post click here.

Question for you… who said this *sixy* quote?:

Sometimes I’ve believed as many as six impossible things before breakfast.

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