Tag Archives: functional

Apparently “GCSE” is a good name for a General Certificate of Secondary Education

So Michael Gove performed a U-turn at the last minute and has left the GCSE alone… for now.  What a relief.

It seems that lots of people feel that the GCSE has had its day. There are some sensible arguments, but there also seems to be a hardcore of traditionalists who pore over league tables, humming and hawing about the decline of standards and  the three “R’s”. As much as I agree with some of these sentiments (I was fortunate
enough to have parents who emphasised the learning of my times tables when I was seven) I do think that this calling for exam reform has all the features of a public relations rebrand and none of the foresight of how schools and colleges will deal with forced reform that is based upon ill-informed deep feelings about a subject that has changed considerably since the 1970s.

When the GCSE qualification was introduced, it was the cure-all for a flawed set of qualifications, the GCE “O” Level and the CSE. Children would no longer be ostracised by a two tier system; they could all take the same exam and be compared by the same standard. How… idyllic.

Michael Gove?  Who is he, anyway?

Michael Gove holding an invisible canteloupe melon. Photo taken from The Telegraph (c)

Obviously, the GCSE Maths exams became so unwieldy in content that they needed to be separated into three tiers, Foundation, Intermediate and Higher.  This allowed for the vast variation between candidates.  A few years later even that was too complicated, so the exams were streamlined into just two tiers, Foundation or Higher.  On the chalk face, this allowed schools to stream secondary pupils; concentrating on underpinning the basics for the Foundation Tier candidates and really stretch the Higher Tier candidates.  In reality, this just meant that highly qualified/paid teachers teach the “Higher” candidates, and the PE / IT / Science / supply / unqualified teachers teach the “Foundation” candidates.  Because of the shortage of qualified maths teachers in England, secondary schools have an extraordinary turnover of staff teaching the Foundation Tier groups because they require greatly enhanced behaviour management skills as well as mathematical competence; unfortunately neither is easy to come by.  I’ve heard stories of teachers in tears, tables going out of windows, and students boasting of their horrendous behaviour in secondary maths classes.

So, unfortunately on the Foundation Tier, you’d have to do really well (75% or higher) in order to attain the coveted grade C.  Or should we call it “The Golden Ticket”. And that’s easier said than done when you’re aged 15 and surrounded by distractions, disruption and 500ml of Relentless.

Every year, I teach students on GCSE retake course.  Each student has a different story to tell, about the number of supply teachers they had in school, about the humiliation they suffered from a certain maths teacher, about the irrelevance that most of the maths curriculum has to real life application.  It’s my job to try to turn these students around, to make them start feeling positive and commit to achieving the C grade that will allow them to cross the divide between being branded a failure (yes, they all consider a GCSE D grade a “FAIL”, even thought it’s not) and being hailed as a success and going to university.  Gosh, I was glad to see that this new-fangled GCSE brought the two tier elitist society-dividing system to an end (<– Sarcasm).

Exam grades are known to have increased year upon year, but for the first time last year the percentage of C grades fell when OfQual “cracked down” on these thicky kids and their cheating teachers, by denying a large proportion their golden ticket onto A Level, a collection of five magic C grades.  But at least the government is on it, right?  On it like a car bonnet!  The league tables help with that, right? <–pssst… more sarcasm)

Wrong. Since the development of the GCSE curriculum in the nineties, the world has changed. OfQual has rightly allowed the GCSE syllabus to move with the times. Kids have access to better calculators; better internet, better opportunities to learn in general.  And we only have to look to our everyday use of smartphones and app software to see that it’s no longer important what math facts you can commit to memory, but how effective you are at solving problems using the tools that you have available.

The ridiculous squawking of politicians and ill-informed “education fascists journalists” that erupts on a yearly basis to return education “back to basics” is designed to appeal to a certain demographic; those people who learnt that way themselves. Again, I learnt a number of skills by rote when I was very young, so I am to be included in that demographic and it helps me more now than ever before because I’m now a Maths teacher, and I’m expected to teach it.  But most people don’t become maths teachers. Most people don’t pull out a pencil and paper every time they need to calculate. What do they do? They reach into their pocket and pull out a mobile phone calculator or go on the internet, or use an app that is much, much quicker. And let’s face it, less prone to error.

While teaching GCSE Maths this week, I was forced to remind my students that they must commit to memory the basic formula to calculate the area of a circle. They will not be given the formula in the exam. Traditionalists may agree,  you cannot have a formula handed to you on a plate every time you need to calculate the area of a circle, can you?  However, if you were in employment and needed to calculate the area of a circle, the fact is that you would either look it up and substitute numbers into the formula, or you would find an internet page that very kindly works it out for you. Would you need to remember it? Do you remember it now, after X years? Well, you might if you understand how it works. But the fact is, not many people do. Young and old, new methods and traditional, few people can clearly explain the reasoning behind long multiplication, let alone area of a circle.

Conceptual understanding is key. Rote learning has its place, but mainly for the purposes of passing exams.  If you fully understand the concept of multiplication, you can use a traditional method or the grid method or the Italian method because you’re going to get the correct answer and be able to verify it.  Many adults do not understand the “new” methods of multiplication, and I’ve heard children relay stories from home about how Dad rubbished the grid method and taught Jonny the “proper” way. So when little Jonny comes home from school with multiplication homework to do, he has this conflict to contend with.  Most of the time, both teachers and parents have little success, because not only do children get the two methods mixed up, but well-meaning (and numerate) mums and dads may not be able to explain what they are actually doing, just that that’s how you do it. Of course, there are maths teachers out there who have the same problem, so let’s not be naive (particularly at primary level, where you’d expect conceptual understanding to be of the highest priority).

I coach young adults who have been taught several ways of doing multiplication, and I usually have to go right back to the basics to tackle the conceptual issues of multiples. The fact is, any nobber can learn a method by rote, but both new and old methods have the same issues when it comes to understanding how they work.

Anyhow, surely the point of qualification reform is to provide employers with the information they need to select staff with the right skills.  A truly progressive qualification must assess a candidate’s ability to find and use information selectively; to analyse using numerical strategies and to communicate numerical ideas clearly and succinctly.

Countdown to 2015

By Zoe Baker, Maths Heaven Online Tutor

In anticipation of the A Level and GCSE Maths results due in the next few weeks, I felt it pertinent to read Carol Vorderman’s report as commissioned by Michael Gove and David Cameron under the opposition Conservative Party in 2009.

Counting on an abacus... a lost art, I feel.

Image: nuchylee / FreeDigitalPhotos.net

To be fair, I know why Carol is the choice of the Conservative party. She demonstrated her aptitude in mental arithmetic in front of the unemployed nation for 25 years. She spent a considerable period (ten years) sandwiched into the Channel 4 programming schedules, as the face of First Plus; attracting customers to the ethically questionable debt consolidation scheme. She’s been the face of several publications in Maths, English and Science. She’s also written some best-selling titles on detox dieting. Scrub that last one, I have no idea why that would help. But she is lovely, though, isn’t she?

It’s an interesting thought. First Plus knew how to select somebody for their marketing campaign who represents maths to the general public: somebody whose image is engrained within the public psyche, and unquestionably much more clever than most of yow; preferably somebody with a fantastic arse (who is freely available to attend promotional events). I challenge anybody to name somebody in the public eye who represents maths in a more effective way. Carol Vorderman’s lack of educational qualification or teaching experience at this point is less important in her role as chair; she is clearly the outward face of “maths” to the UK audience; the façade behind which the mathematics academics are hiding in order to facilitate mathematics educational reform.

Despite this, plenty of people have questioned Vorderman’s ability to chair the task force. But it is pretty short sighted to suggest that a civil engineering graduate could not be a representative of maths or numeracy. But I would say that. I’m biased.

But I do question Vorderman’s objectivity as a government advisor. She is currently fronting her own maths website (www.themathsfactor.com) which is selling subscriptions to parents aimed at children of primary school age. I have my own opinion about the product being touted, but I’ll save that for another time.

If you’re responsible for a commercial product that helps primary school children “get ahead” in maths, then your role as a voluntary government advisor in mathematics education (for a specific political party) is compromised. As much as I welcome many of the findings of the report, it is a travesty that Carol Vorderman is fronting it. Of course it’s voluntary! This is a PR campaign to die for; plenty of opportunities for Carol to do the rounds on the national media just before the results come out; plenty of controversy over educational standards; lots of harrumphing and excuses to call for “back to basics”. Those parents who actually give a toss would likely be concerned about their child’s maths learning – to the internet to read that report! Google “Carol Vorderman maths”… what do you notice?

Zoe Baker is Managing Director of www.MathsHeaven.co.uk and is a Functional Maths Lecturer in an FE College in Hampshire.

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Welcome to Maths Heaven

You don’t have to love maths to be here… in fact this isn’t designed to be a place for maths-lovers, it’s for all of us out there who just get by with numbers by the skin of our teeth.

I’m Zoe, and I am the Functional Maths Coordinating Lecturer at a large Further Education college in Hampshire.  I’m currently completing a full time MA in Interactive Media at Southampton Solent University, mainly because I wanted to build Maths Heaven and use it to offer maths advice, resources and online tutoring services to anybody who needs it.

Maths is not the most popular school subject – in fact, many people would say it is their least favourite subject.  And in fact, people in the UK, the US and other English speaking countries seem to love to hate maths and we are happy to proclaim it, sometimes quite openly.  But why?  Why is maths such a problem?  Over the next few weeks I’m going to be trawling the web to see if I can find out what makes people reject maths so openly, and see if there are any resources out there that could help to change our negative view of maths and numeracy.

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