Basic Numeracy

When the delayed SATS results eventually arrive, I’m sure there will be the regular navel gazing at the state of basic numeracy and literacy in UK schools. But what about those who were in primary schools 30 years ago?

This morning on BBC News Channel an interviewer was talking to an economist from the City. They were discussing the reduction in bank lending (a fall of 3% during June, with 32% year-on-year drop ) and its implications for the housing market and the economy in general. The interviewer asked if it was accelerating and the economist agreed, mentioning how the year-on-year drop had gone from 10% in one quarter to 20% in the next and now over 30%.

Of course these figures are all based on a year-on-year average that includes the period before the credit crunch began last autumn and in fact are consistent with a steady linear fall of around 3% per month for the 9 months since the Northern Rock collapse. That is an alarming rate of fall, but not evidence of an accelerating fall.

This apparent lack of basic numeracy reminds me of a discussion some years ago with senior financial executives who dismissed any attempt to quantify projected company income as ‘just numbers’. Having lost money in the Northern Rock collapse I wonder whether the executives in Northern Rock and other banks had a similar attitude!

I know it is easy for me as a trained mathematician to hold up my hands in horror, but still these are people who are playing not only with their own livelihoods, but also the lives of their investors, ordinary people and even the state of the entire economy.

We do have a peculiar attitude in the UK where it is acceptable for highly educated people (including many computer scientists) to just ‘not do math’, and furthermore say so with a level of pride, whereas to say the same about reading would be unconscionable. Other European countries seem far more numerate, so this seems to be a cultural phenomena not an intellectual problem.

I have heard that one of the best predictors of educational success is if a child is willing to put off a treat for another day. Mathematics does require doing work at one stage to see benefit maybe many years later, but this to some extent runs counter to the increasingly common expectation of students to want to know fully and completely how something is useful to them now.

Maybe the answer is for schools to have lessons in leaving sweeties until tomorrow … and perhaps remedial lessons for City economists who matured during the Thatcher years.

in the news – second chances for killers and students

As well as Hurricane Dean which has been dominating much of the news, two items have caught my attention over recent days. One is the debate surrounding the court decision preventing the deportation of Learco Chindamo, the killer of school teacher Philip Lawrence 12 years ago. The other is the release of statistics showing drop-out rates from UK Universities.

Learco Chindamo came to the UK when he was 5, killed Philip Lawrence when he was 15 and has been in prison since. His life sentence carried a minimum term of 12 years and next year he will be eligible for parole. He is also a Filipino by birth and has an Italian passport, so the Home Office intended to deport him on his release, but were prevented by the courts.

Philip Lawrence was a Head Master who died protecting one of his pupils. His wife and family have had to live with that ever since. Furthermore, she had been promised by officials that he would be deported.

The case is distressing and traumatic, but in the end clear. The mark of a civilised society is surely how we treat the undeserving. This is not a man who came to the UK to work and then murdered, but someone who has spent all his childhood here, albeit under the influence of London youth gang culture, and who knows no other country. Deportation would not be sending back but throwing away, like those sent to Australia in the past.

If this has not been such a public case, we might have never have heard of this decision. And because it is public we have some inkling of the anguish we might feel if it were our family not some other. But the purpose of law is precisely to protect us from the retribution we would want if we know the victim and balance that with the mercy we would seek if we knew the criminal.

We might ask questions about our criminal justice system. Is twelve years enough for a cold blooded killing, even if the killer is 15 years old? Is 15 a child or a man? Do we trust the parole system to only release him if it is safe to do so? These questions seem valid no matter the passport a man carries, and it is right to debate them. But to deport a man, who has served half his life in jail, to a country he has never known would have been simply wrong.

It seems frivolous to move from this to university drop out rates, but they are not so far distant.

In some universities the rate is nearly 20% compared to near 2% for the ‘best’. In the TV report other figures were quoted … and certainly the 20% figure at one point sounded as if it were the national average rather than the average at the ‘worst’ institution.

The TV report also noted that those with worst drop out rates were largely ‘new universities’1 and the Vice-Chancellor of Liverpool Hope was interviewed and staunchly defended his own institutions policies to inform students about the nature of courses.

What was left unsaid was that these institutions mainly take those with the lowest academic achievement at entry.2 In other words these serve the ‘lowest’ in society and, as I am sure in other countries also, this is as much determined by social situation as academic ability.

There is often debate about the university system and whether these are ‘real universities’. I have written about this before when I was education columnist for SIGCHI Bulletin: I had recently returned from a visit to South Africa and read on my return a particularly scathing attack in The Times on new university courses. 3 Recently this has been in the media again when “The Taxpayers Alliance’ (I assume representing everyone except children, the elderly and the poor) issued a “non-courses report“, damning degrees such as “Equestrian Psychology” and “Golf Management”.

Now we might debate the academic merit of particular courses (although strangely the ones cited by the TPA sound more academic than many … perhaps reflecting their own understanding of academic content?) … and I stand on shaky ground as my own discipline of computer science, would have been in a similar position 40 years ago. Also it is certainly true, although it is politically incorrect to say, that academic degree classifications at different institutions are not worth the same and indeed, although even more politically incorrect, classifications now at the ‘old universities’ are not the same as they were 15 years ago. We can also ask whether the move to push more and more post-18 education into universities, or whether the changes in that education are in the right directions.

However, notwithstanding all this, it is the new universities that have borne the brunt of the expansion of higher education in the UK and not surprisingly have the most difficult job to do. They take students who at 18 have the lowest A Level grades and, even taking into account the different meaning of classifications, take many of those students to a high level of academic achievement.

These are students who would not have had that chance when I was 18.

Not surprisingly some find that it is not for them, but the 20% drop out rate at the ‘worst’ institutions should be seen against the 80% of students at these institutions who are succeeding, but would never have been given the chance in the past.

Whether even the 20% of drop outs can be seen as a sign of failure, depends on whether they see themselves as having ‘failed’ or having learnt where their true abilities and interests lie. My guess is that for many it will be the former and this is the issue to tackle: how we can have an education system that is about allowing people to develop and learn their strengths not simply learn what they cannot do?4

And what of those 80% who have been given a chance they might not have had. Is it right to say that a person has no more to learn and be judged for life by what they achieve at 18 years old? And is it right to say that a man cannot change and be judged for life by what he did or was at 15 years old, 26 or even 47?

  1. In the UK the former polytechnics become universities in 1992 and since then various other educational institutions have been given university status. It is these that are the ‘new universities’ as opposed to the pre-1992 ‘old universities’ [back]
  2. I am carefully choosing words here as achievement at 18 years may not be a good measure of initial promise, current ability or future potential. [back]
  3. opportunities for change, SIGCHI Bulletin, January/February 2002, written in response to “Professor scoffs at ‘useless’ degrees”. Reported by John O’Leary, Education Editor, The Times, Wednesday October 3rd 2001, page 13. [back]
  4. see also my SIGCHI Bulletin columns “abject failures” and “on the level” [back]