More Mental Maths Tricks from the Teacher’s Maths Test

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This is a guest post by Adrian Beckett maths tutor extraordinaire!

In my last blog post on the Qualified Teacher Status (QTS) Skills Mental Maths Test, Can You Pass the Maths Test For Teachers, we looked at the all-important times tables.  Without them, so much of maths becomes more difficult, and for those intrepid trainee teachers doing the QTS Skills Test, if they don’t know them there chances of passing the test becomes much less. Math tricks

In this post, I’ll be looking at how to answer a question from the QTS Skills Test which involves multiplying three numbers using mental maths. This is the sort of question we are looking at:

 100 pupils correctly completed a sponsored spelling test of 56 words.

Each pupil was sponsored at 5p per word. How much did the pupils raise in total?

  The prerequisite knowledge is

  1. Knowing your times tables
  2. Being able to multiply a number by a multiple of 10 (simple enough – just add on the zeros)

You are faced with this sum: 100 x 56 x 5 As you have very little time in the QTS Skills Mental Maths Test – only 18 seconds, you can’t rely on short multiplication alone to answer it and you need to identify quickly which order to multiply the numbers and how to multiply.

Check out this video post:

Adrian Beckett and his band of London Maths Tutors offer maths tuition for students and workshops for maths teachers in person and over Skype. He also blogs about maths learning for children and adults, those all important maths exams and dyscalculia at www.adrianbeckett.co.uk/blog

If your child struggles with the times tables, check out my 31 Days to Faster Times Tables product to help your child to faster, more confident times tables

Dyscalculia – 4 Warning Signs

 

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This is a guest post by Adrian Beckett, London-based maths tutor extraordinaire

That title sounds scary.

Well.. dyscalculia can be a bit scary. Just when you think you’ve remembered that 8 + 8 is 16, a few minutes later it becomes 14. Here are some tell tale signs that your child has dyscalculia.

Finger counting

If there is an over reliance on ?nger counting for more than basic sums such as 5 + 3 , there’s a chance your child may have Dyscalculia. This means they don’t know the number components of numbers up to 10. The number 5 has the following components: 0 and 5, 1 and 4, 2 and 3, 3 and 2, 4 and 1. 5 and 0. There is no hard and fast rule though with ?nger counting. Some children, whilst being very capable at Maths, still use their ?ngers and de?nitely do not have dyscalculia. If your child struggles with all areas of maths, then that’s a better indicator. I’d recommend this book The Dyscalculia Toolkit – Supporting Dif?culities

Available at Amazon.com and Amazon.co.uk

Hearing dif?culties

Has your child at some point in their life had problems hearing. Glue ear maybe? A couple of my students have and this seems to have interfered with their Mathematical learning at some stage. This probably seems obvious, but if they currently have a hearing dif?culty make sure you accommodate the learning accordingly: Sitting close to them or writing sums down can be helpful.

Asking to repeat things

This seems characteristic of my dyscalculia students. Even when we are talking about non-Mathematical subjects I get asked to repeat what I’m saying. Try to get as much Maths down on paper as possible. This can make a big difference. Children with dyscalculia have shorter working memories. As an example, to work out 8 + 7, you might do 7 + 7 = 14 and then add 1. A dyscalculia student might forget the intermediary stage 7 + 7 = 14, so it would be useful if it’s written down. Over time, you would move towards not writing it down. You build up to this nice and gradually.

Problems telling the time is a sign of dyscalculia

Problems telling the time

Most children by the age of 9 can read the time – Dyscalculia students can’t. A useful technique is to treat telling the time less as a Mathematical exercise and more as a language exercise. Focus on the main phrases ?rst (half past, quarter past, quarter to) and then worry about everything in between You know sometimes these things can indicate dyscalculia. (Note form Caroline-Maths Insider: This post on Reddit: I suffer from Mild Dyscalculia highlights some of the problems mentioned in this post (warning – does contain some rather strong language))

They can also indicate other things: a disinterest in the subject material, a lack of engagement with the nature of the child (perhaps they are musical or like to act), a distrust of the teacher, anxiety in the parent/teacher and more…. The challenge when teaching children and particularly relevant to dyscalculia students is to engage their spirit. I’ll give you an example:

A beautiful example

A few weeks back, I think V (aged 9) was a bit bored with me banging on about the near doubles so she decided we should do it with mime. Interesting – because she did once have hearing problems. I thought gosh this is an amazing opportunity to enter into what would have been her world. It was incredibly challenging to do a whole lesson using mime and not talking but I loved it. So did she and she learnt her near doubles. Once you’ve cracked that, the rest becomes easier.

Take it nice and slowly. Don’t be surprised if it takes a very long time to learn material. You’ll get there in the end.

Adrian Beckett and his band of London Maths Tutors offer maths tuition for students and workshops for maths teachers. They also blog about maths learning, those all important maths exams and dyscalculia atwww.adrianbeckett.co.uk/blog