I’d rather die! – tonight’s #mathsjournalclub chat

Tonight (11th July 2016) at 8pm we are meeting to discuss the 6th #mathsjournalclub article which is the famous article by Brown, Brown and Bibby “I Would Rather Die’: Attitudes Of 16-Year-Olds Towards Their Future Participation In Mathematics”

This article is now almost 10 years old, and despite the numbers of students studying A-Level mathematics having increased since the 2002 data talked about in the report the participation rates of UK students in 16-19 mathematics is still often highlighted as a concern for the Government, being considerably leass than many high performing jurisdictions. IMG_1343

As teachers, I am sure that we have all heard mathematics described as “boring” and “hard” and this paper makes unwelcome reading, particularly as the sample of schools were significantly above the national average in terms of GCSE performance.

A few things to think about during the discussion tonight:

  • A large dip in percentages considering further study is shown between those pupils who achieved an A and those who achieved a B. Do you think this is the same today?
  • Does your school take people on to an A-Level if they got a Grade B?
  • How can we, as teachers, teaching within the confines of the system, tackle the perception that mathematics is boring?
  • Hatred is a strong emotion – is this to be believed?
  • What kind of activities should we be using to enhance “enjoyment” of school mathematics?

MEI Conference Day 1

Session 1 – An Introduction to Probability Distributions, Terry Dawson

I decided to attend this session as I wouldn’t describe Statistics as one of my strengths.

I use Geogebra quite a bit but I have never used the probability calculator option before. It works well on the iPad edition as you can see below, and provides a really nice interface for visualising probabilities and calculating them.


There was an emphasis on linking the teaching of the binomial distribution to the teaching of the binomial expansion. I do this, but I like the idea of making it explicit to students by getting them to do a dice experiment and relate the outcomes to the binomial distribution. The experiment suggested was to roll a dice 4 times and count the number of fives that occur. these outcomes could then be tallied up and you could also construct a tree diagram. Then you could relate the branches of the tree diagram to the number of occurrences of \(p^4, p^3q, p^2q^2,pq^3,q^4\). One resource that I particularly liked from this session was a card sort linked to the following article from the Daily Mail:

  • “A study has found that 41 per cent of Britons admit to regularly using their phones, tablets and eReaders when sat on the loo.” “Smartphones were identified as the preferred gadget of choice, cited by 65 per cent of respondents”.

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I think it is great that the card sort contains differing values of \(n\) and \(p\) taken from the information given.

Following looking at the Binomial distribution Terry talked about using data sets to obtain data that is approximately normally distributed. This is likely to be interesting in terms of the new A-Level, so I am going to do a bit of work on it and then blog at some point in the future.

Session 2 – Core Maths: a Teacher’s Perspective, David Phillip and Claire Phillips

At my school I am going to start teaching a Level 3 Core Maths next academic year and so I picked this workshop to get some ideas for classroom activities.

The initial activity of recording when popcorn pops in either a maker or a microwave was nice, but it’s hard to get accurate data due to issues with reaction times etc. Though, of course, this could lead on to nice discussions about the validity of recorded data.

I had a very interesting discussion with Mike Ollerton about whether some fermi style questions are more worthwhile than others. I am inclined to agree that students will get more out of some fermi style problems than others, but quite how to taxonomies this isn’t completely clear. Do you think some of the questions shown below are worth more (in a measure of learning) than others?img_1334-2

There were many other great resources shared during this session which will definitely be worth a look once MEI put all the materials up. I quite liked  this matching activity:image3

Session 3 – Teaching A-Level in Early Career, Cathy Smith

I found this session fascinating (as I do with Cathy Smith’s work in general) as in my experience there often isn’t much attention given to preparing ITE students to teach A-Level, and the demands of teaching A-Level are different to teaching lower school. I can definitely identify with some of these issues in A-Level teaching that were identified in Cathy’s research.

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This quote from one of her study participants was particularly intriguing to me

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I can definitely see where this come from, but I find it a little sad as if you do spend time on the preparation then you tend to get an awful lot out of the lessons.

As an added bonus from this session Cathy got all the attendees to work in groups on the card sort shown below.Screenshot 2016-07-02 00.14.08 Screenshot 2016-07-02 00.14.16

I really enjoyed doing this card sort and I think it would be a very valuable activity to do both with beginning teachers and A-Level students. Cathy made an interesting point about the language used in this task. She had re-written a task from nRich  but been more consistent in the descriptions of the processes. For example each process starts with a description, followed by the \(y\) variable and then the \(x\) variable. This highlighted to me that getting the right amount of structure in an activity is very important. Too little is just as bad as too much! Interestingly, many people seem to start with the bacteria ones first, possibly for reasons of similarity.

Plenary – All Change in Post-16 Mathematics, Charlie Stripp

Charlie Stripp, the Chief Executive of MEI gave the first plenary of the conference. He gave a fairly positive talk about the state of mathematics education in the UK and the influences of all the changes coming through.

The picture of A-Level participation is very positive, though it remains to be seen how this will change in the future.IMG_1346

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Charlie said that we have a “duty to use technology in teaching mathematics” and I completely agree with this. He also mentioned that there was research evidence that students owning their own graphical calculators helps their mathematics learning. I haven’t heard of this before, if anyone knows where this statement comes from please let me know!

Session 4 – Further Pure with Technology, Richard Lissaman

Being a keen programmer I was looking forward to this session with Richard Lissaman looking at the MEI unit Further Pure with Technology. A typical programming question from FPT is shown below

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I think the idea of doing this kind of thing in A-Level as so much of real-life mathematics is computational, and I would love to do MEI maths so that I could do this unit.

I was quite impressed with the CAS capabilities of Geogebra. I’m not sure how robust it is, but for a free package Geogebra is very impressive.image4

I’m glad that they have been able to incorporate FPT into the draft specifications for A-Level 2017. It doesn’t seem to have changed too much apart from replacing the complex variables section with content on differential equations.

Sixth #mathsjournalclub Article Announced

Thank you to everyone who voted in the recent #mathsjournalclub poll. The winner with 33% of the vote was the (fairly famous) article “I Would Rather Die’: Attitudes Of 16-Year-Olds Towards Their Future Participation In Mathematics” – Margaret Brown, Peter Brown and Tamara Bibby 

We will chat about this on Monday 11th July t 8pm, I really hope you can join us.

As usual, about a week before I will post some points to think about.

A-Level 2017

So… I’m expecting to be busy with blogging in the next week or so. I will be commenting on and giving my feelings about all the specifications and specimen papers being released for the new A-Level Maths and Further Maths qualifications tomorrow (9th June 2016).

I’m currently enjoying the AQA webinar and I love what I am seeing so far.

I have set up a Dropbox Folder where I will put all specifications and associated resources from all boards as soon as possible so that I (and you) can access them in one place!

I’m excited for tomorrow to come!

Last Minute FP2 Revision

It’s my last lesson with my Year 13 Further Maths students this morning before their Edexcel FP2 exam.

One of the things that I am going to do with them is an increased difficulty version of the June 2012 paper. This is a very similar idea to my increased difficulty M1 paper I posted a while ago. Essentially, all that I have done is remove any unnecessary intermediate steps and diagrams.

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You can find the paper here.

#mathsjournalclub Poll for the Sixth Chat

As promised, here is a chance to vote on the next #mathsjournalclub article. The poll will be open until the 9th June and then we will discuss the chosen article on Monday 11th July at 8pm – this will be the last chat before the summer holiday.

The choices are as follows (thanks to Rob Beckett and Danny Brown for some suggestions):

 

Vote here!!

I look forward to finding out what article you decide 🙂

Complex Loci

Complex loci and transformations in the complex plane are probably my least favourite topics to teach in A-Level Further Maths. It feels very negative to say that, but I don’t think I am alone! I also think it is one of the hardest topics for students to get their heads around in the further maths A-Level.

Last week I posted on Twitter asking if anyone had a complex loci card sort and Hannah (@LorHRL) pointed me into the direction of this one on TES. However being a Mac user it wasn’t easy for me to open the Microsoft Publisher file I decided to make my own using Geogebra.


Download the card sort here to use with your classes. 

Teaching KS5 Mathematics

On Friday 20th May 2016 I was lucky enough to be asked to lead a session for the University of Nottingham maths PGCE students on teaching KS5 mathematics. It was three hours long and I really enjoyed doing the session and working with a great group of PGCE students.

I have embedded the presentation below, and you can also view it here.

 

FP1 Revision Relay

Tomorrow is the last day for FP1 revision with classes. I have just made a relay activity to use tomorrow so thought i would share it here in case it is useful for anyone else.

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The questions are here. I am intending on running this like the UKMT Team Challenge relays with one person working on the odd numbered questions and one person working on the even numbered questions.

I hope it is useful.