Skip to main content

📝 Weekly Report #27

One of our department focusses for this year has been around encouraging students to talk like Mathematicians. Previously there was an issue with too much talk happening and not enough students engaged in the work. As a school we went the opposite way and pushed for silence during the time students were working. Now we are at a stage where behaviour and off task talking is no longer an issue so we want to look at the next step.

We initially focussed on our questioning and ensuring students are giving full answers and using correct mathematical terminology. (We have had a real drive on literacy and ensuring students clearly understand what different words mean and how they can be used etc.) However we have noticed that this means only a select minority actually get the chance to use these words and talk about the maths that they are doing. 

This week we spoke about introducing some of the Kagan structures in lessons, when appropriate, to encourage that discussion. I used some of these structures when I was training and found them to be really beneficial when students already have strong prior knowledge with a topic. It also created a positive social atmosphere where students were happy to talk, listen and thank each other for their contributions.

For me, the key thing with these structures is that they are clearly defined and explained to students. So if we are wanting students to discuss their answers or identify errors in each others work we need to explicitly teach how to do this. I am going to start reintroducing some of these ideas in to my own teaching and see how it goes. 

🔊 Listen:
Lando Norris on the Higher Performance podcast. Watching drive to survive on Netflix has given me a new found respect for Formula 1 and in particular Lando Norris stands out for me. His key priniciples about being humble and working hard are lessons everyone can benefit from. He speaks about really knowing your team around you, not just by name. Creating more of a family culture where everyone supports each other. Listen to the episode here

📚 Read: 
My latest post on how I have improved how I teach speed and now use ratio tables. It has meant my students have a much deeper understanding of the relationship between distance and time. They are also noticing how it is a very similar relationship to lots of other areas of Maths where I am continuing to use Ratio tables. Read my post here.

🔊 Listen:
Greg McKeown talking about the power of routine. He uses Michael Phelps as an example to demonstrate how routines can help make the abnormal normal. Michael Phelps is a great example where routines can make the performance seem effortless. Listen to the podcast here.

Popular posts from this blog

Equivalent Fractions with Ratio Tables

The following is a slide taken from NCETM Checkpoints. I was happy with the fraction pair on the right but the left stumped me! Then I had that 'aha' moment!  What I used to do I never used to teach equivalent fractions like the one on the left to my classes. I would just use arrows to multiply both numerator and denominator to find an equivalent fraction, very similar to the fractions on the right.  The issue with this though is, like me, students don't necessarily see all of the multiplicative relationships between the fractions as well as within the fraction. They are missing that key knowledge to support them answering the first pair of fractions.   What I do now Ratio tables allow students to see those multiplicative links. By doing this it makes questions like the checkpoints task much easier for students to do.  Disclaimer: this isn't the only way I teach equivalent fractions. I also show students how prime factors can also help us. There will be a future...

Percentages with Ratio Tables

What if I said you could teach your students one thing and they could answer everything to do with Percentages? Don't believe me? Let me show you: Finding a percentage of an amount Q: Find 20% of 925 Increasing/Decreasing by a percentage Q: Decrease 45 by 16% Expressing as a percentage Q: A cereal bar weighs 24g. The cereal bar contains 3.6g of protein. Work out what percentage of the cereal bar is protein Percentage Change Q: Rebecca bought a dress for £80.  She later sold it for £116. Find the percentage profit. Reverse Percentages Q: A car increases in value by 35% to £2500. What was its original price? Ratio tables can be used for it all. There is obviously going to need to be some further teaching about what an increase/decrease is, how to work out the multiplier etc, but it is a great tool we should all be using more often You may have worked out by now that I like using Ratio tables. 

📝 Weekly Report #21

The trainee teacher in our department has started to teach my Year 10 group this week. It has taken me back to when I was training and the struggles that I had and the feedback my mentor would give me. One thing I didn't consider back then was how the class teacher feels who I was taking over from.  I know that as a trainee I was no where near being an amazing teacher but over time I have continually improved. So it has been a struggle for me to allow the trainee to teach my class thinking that there would be aspects that I know I could deliver much better. On the flip side of this it has been great to learn from him by watching him teach and being able to give small steps to improve for next time. The initial focus has been on general pedagogy, e.g. use of questioning, planning for misconceptions etc. It's made me reflect on my own teaching ensuring I don't just talk it, I walk the walk too! I've also enjoyed seeing the improvements he has been able to make lesson on l...