by Carl Pierer
Madam,
Thank you for opening my eyes concerning the question whether students should be beaten to study Maths up to the age of 18. Your well-argued and logically impeccable column in the Times establishes beyond reasonable doubt that no one needs to know any Maths further and above the mere basics. It is absolutely clear what those basics are, and they don't need further definition (obviously, knowing times tables is essential and needed, whereas being able to solve quadratic equations is far beyond basic).
Moreover, you successfully avoid the many times rehashed bad arguments in debates about education. Instead, you focus on the points that do indeed form the basis of any good and progressive line of argument. These are: (i) to think about reforms in terms of the education currently successful people have had, (ii) to do away with skepticism about inductive inferences, (iii) to consider a general education system in terms of highly talented and successful people, (iv) to not let yourself be confused by the subtleties of the subject matter as there really is just one thing at stake, (v) to insist that there is something wrong with the subject itself if the curriculum doesn't teach what is “useful”. Unfortunately, the brevity of your column prevented you from exploring the full force of your arguments. Allow me to do so on your behalf.
With one of your examples you solve two age-old problems in philosophy. You write: “The top western country [in the Pisa international league tables] is Liechtenstein. Know anyone who has changed the world who was educated in Liechtenstein? I don't either, but that is the European country we are hoping to emulate.” First off, this solves the problem of induction. The problem is that the inference from “All Swans I've observed so far are white” to “All swans are white” is not necessarily true, i.e. it's logically possible that “All swans I've observed so far are white” is true and “Not all swans are white” is true as well. But why do people wrack their brains over this? Your argument establishes that we merely need to assert the conclusion, isn't it just trivially true that since you don't know anyone who was educated in Liechtenstein and changed the world, there is nobody? At least 200 years of philosophy over and done with.
This conclusion is also a very important one, because obviously if Liechtenstein is doing well in the Pisa league tables and still there is no one who was educated there and changed the world, then the education in Liechtenstein cannot be that good. At least not as good as in Britain, where plenty of world-changing people were educated. Pisa league tables, your argument shows, are not a suitable means of measuring which educational system produces world-changing people. A general education is precisely about the upbringing of exceptional individuals and not the provision of basic numeracy and literacy. Since the Pisa examinations only manage to test the level of the latter, educational policy makers who are concerned with the questions that really matter should stop emulating countries that do well in the Pisa league tables.


