## 27 January 2017

### 5 Maths Gems #68

Welcome to my 68th update from the world of Maths EduTwitter. This is where I share some of the latest ideas and resources for teaching maths.

1. Fractions Challenges
Whilst searching online for an extension activity for my fractions lesson, I found this Extension Activities Workbook. There's some great fractions stuff in here plus some nice tasks for other topics. I particularly like 'Trail Blazers' on Page 28.
2. What's in the Middle?
Mr Taylor (@taylorda01) has created an activity called 'What's in the Middle'. These questions could generate great class discussion.

3. Alternative Methods
I'm really interested in alternative mathematical methods, in fact I ran an entire SCITT training day on it this week. With my trainees I explored different methods for finding a highest common factor, factorising harder quadratics, solving quadratic inequalities, and various other topics. Exploring new methods always sparks debate. Two interesting methods were shared on Twitter this week.

This alternative method for subtracting was shared by Chris Smith (@aap03102) in his weekly newsletter. You can subscribe to his lovely newsletter by emailing aap03102@gmail.com.
This alternative method for dividing fractions was shared by Ed Southall (@solvemymaths):

Ed's new book 'Yes, but why? Teaching for understanding in mathematics' comes out in March.

4. Number Properties Challenge
I like this activity from Stephen Bodman (@stephenbodman). Give students three or four random digits and they have to generate numbers with specific properties.

5. Misconceptions
Thanks to Nisha de Alwis (@nishadealwis) for sharing this 'Misconceptions and Errors' document. This list of misconceptions might be useful when you're planning to teach a new topic. For example in the fractions section it includes a number of misconceptions that I have recently identified in my Year 7 class.

Update
Did you catch my latest blog posts?

I've had a busy week. I travelled to St Helens on Monday to present on new GCSE topics at North West 3 Maths Hub. On Wednesday I delivered a full day of training to my SCITT trainees. I showed them the video below which features two teachers with different (but equally effective) styles teaching the same lesson on factorising quadratics:

One of the things I like about this video is that it shows that it doesn't matter whether you have a reserved manner or you're more exuberant - good teaching doesn't depend on personality.

It's not long now until #mathsconf9 in Bristol - it looks like there are some great workshops at this one. I hope to see you there.

I'll leave you with this excellent 'Eight Disks' puzzle from Duane Habecker (@dhabecker). Enjoy!