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Finland’s Education System

April 10th, 2010


An interesting report on Finland’s education system was on the BBC News website today:

Report on Finland’s Education System

I think there are a few things that they miss out from the report, like a very homogenous population, a smaller wealth gap between rich and poor, and a very low density of population. Still, it does paint the picture of an idyllic scenario of an educational system free from interference from politics. I wish a party in the UK would put that in their manifesto!

Mandelbrot Set

February 12th, 2010


An incredible rendering of the MandelBrot Set, which drives home the notion of infinite complexity!

As the comments underneath the video allude to, there is some utility here to attempt to consider the size of magnification that occurs during a portion of the video, and how to express magnifications of such a magnitude.

Pie Chart Flags

November 4th, 2009


Another interesting website, this one visualises flags as pie-charts that reflect the proportions of the colours in their flags:

Flags By Colours

It would be a fun and worthwhile activity to use this site to exercise KS3 students’ abilities to mentally construct and destruct pie charts in a game of ‘guess the flag’

Visualising Tiny Things

November 4th, 2009


I stumbled across this lovely page from the University of Utah today, which is extremely simple, but nevertheless well done:

Cell Size And Scale

From a scientific perspective it is interesting to reflect upon the relative sizes of elements, from a Coffee Bean to a Carbon Atom (through various things such as a human Ovum, Sperm, various viruses, compounds and so on).

From a mathematical perspective it is also interesting for the way in which the relative scales are measured in the top-left. Exploring the different notations for small sizes would be a useful exercise in place-value for all levels of Key Stage 3 and 4.

Proportions v Magnitudes

October 25th, 2009


In the BBC Website Magazine today is an article about proportions and magnitudes. It made me reflect that we often spend time teaching students how to express numbers in different forms, but rarely attempt to give students an understanding of how the numerical forms differ, and what they represent.

This article is a little heavy on the politics for an average maths classroom, but is perhaps useful for A-level students, and is definitely useful for any teachers teaching the IB, as it has excellent cross-over with theory of knowledge. Worth a look

Another Report about Education

October 16th, 2009


The Cambridge Primary Review today published their recommendations for how the primary curriculum and classroom environment should be arranged. The briefing is an interesting read, the headlines of which can be found on the BBC News website.

As I read the part on SATs I reflected on the way in which the relationship between politics and education continues to work to this day. The review argues that SATs narrow the curriculum focus and put pressure on children unnecessarily. It argues that the concept of standards that underlies the system of SATs is “restricted, restrictive and misleading”. It further argues that assessment of childrens’ learning should be detached from assessment of schools’ accountability.

It is perhaps inevitable that this is how education and politics interact: governments change the way education works with an agenda justified by their electoral mandate, but often with no educational justification to back it up. It can then take a decade or more for evidence to be gathered, arguments to be made and reports to be compiled before the deficiencies of the system can be established to the satisfaction of politicians, and the scheme can be scrapped. Then, another government can come in with their agenda and try again.

I knew that SATs restricted curriculum, failed to assess students reasonably and were a monumental waste of time and money, years ago. I’ve blogged about it before, years ago. Most of the bright, intrested teachers that I’ve met have known similarly. But education is one of the few things that governments with mandates can interfere with almost at will, and the obvious truths for teachers on the ground are difficult to express to people living in the ivory towers of Westminster. It’s about to happen again. I believe that the best we can hope is that they (whoever they are) make a slightly less-bad set of decisions in this next round of reforms.

Mary Midgley

September 23rd, 2009


Mary Midgley was born on September 13, 1919 and was the Senior Lecturer in Philosophy at Newcastle University. Despite publishing her first book at the age of 59, she has a fearsome reputation in the Philosophical community. Her work has largely focussed on science; attacking the pretensions of ‘scientism‘, and arguing in favour of scientific pluralism; that we must recognise “that there are many independent forms and sources of knowledge” (Myths We Live By, pp 26-7).

Famously, she and Richard Dawkins have had a thirty-year disagreement. Midgley argues that Dawkins goes beyond the scientific to sell “the worship of competition”; that he projects Thatcherite free-market economic beliefs into his theoris of evolutionary biology; a charge which Dawkins disputes!

In May 2009, my dad Alan McEachran, who has taught Philosophy and Sociology all of his professional life, gave a talk about the work of Mary Midgley to the Erasmus Darwin Society in Lichfield, Staffordshire. The prepared text for this talk follows:

Mary Midgley, by Alan McEachran

This is the second talk that he has given to the Erasmus Darwin Society. His discussion of John Gray is also available from this website.

Book Review: Plato’s Shadow

September 18th, 2009


Neel Burton, Plato’s Shadow – A Primer On Plato

Academic texts try to appeal to specific readerships. Though Plato’s Shadow has merit, this reviewer is left wondering who it was written for. It works best as a reference book of sorts, since it contains easily-read summaries, each of between two and twenty pages, of all Plato’s dialogues. Each précis is faithful to the original text and provides the reader who is unfamiliar with any dialogue a clear account of what is to be found there. The author also devotes the first forty pages to a useful account of the historical context of Athens and its relations with other city-states, and to a discussion of Pre-Socratic Greek thought and the place of Socrates in the dialogues which follow. A final introductory chapter also looks at scholarly views of when Plato’s works were written, in what sequence, and with what connection to each other.

A student encountering Plato on a Philosophy or a Classics course would undoubtedly benefit from having this book to reach for as a preliminary step before reading one of the dialogues for the first time. A general reader would also find this a useful reference book because of the way it treats each dialogue separately – something you don’t usually find in such a short and accessible paperback.

However, to call this “A Primer On Plato”, as the author does, is misleading. Anyone trying to understand Plato’s thought won’t find much help here. Nothing is done to point the reader to where Plato is specifically exploring metaphysical, ethical, epistemological, political, etc. themes. This book cries out for an index; both the student and the general reader are likely to want help in finding where Plato talks about The Sun Metaphor, or Forms, or Diotima. The occasional attempt is made to enhance understanding by the use of an illustration; this makes most sense in the Meno and Republic dialogues, though in the latter it is The Cave which is illustrated rather than The Divided Line, which almost every other book about Plato rightly and helpfully presents as a diagram.

This text is a welcome addition to a shelf of reference books, but it shouldn’t be seen as a general introduction to Plato’s thought.

Linguistic Ambiguity and Ignorant Journalists

September 2nd, 2009


Even BBC Radio 4 journalists are unable to recognise the distinction between the following sentences:

  • I do not want Megrahi to die in prison;
  • I want Megrahi not to die in prison.

There ought to be a clear distinction between the intention of the speaker in the two cases: the first does not necessarily convey any intention, while the second takes a clear intentional stance.

On BBC Radio 4 this morning, a five minute interview went frustratingly round in circles because neither the Foreign Secretary nor the interviewer could satisfactorily explain this distinction.

We often use the first form of the sentence when we mean the second, and this linguistic ambiguity was siezed upon in a piece of journalistic opportunisim. Bill Rammel was asked a question about whether the UK government ‘wanted Megrahi to die in prison’. He responded that they did not. The question asked about whether an intention existed; he replied that it did not. He was not asked, nor responded to whether there was the converse intention; he was not asked “Does the UK government want Megrahi to be released from prison before he dies?”, but it is now widely reported that he confirmed exactly that.

Increasingly, it seems that journalists exploit these linguistic ambiguities in order to create a story. No wonder politicians (of every persuasion – I am ambivalent with respect to the different parties) are so careful when asked ‘clear yes and no questions’ and sometimes simply repeat a well-rehearsed phrase. When they are misrepresented so wholly as in this case, can you really blame them?

When they occur, these stories are good opportunities to highlight the ambiguity of language and the care with which language needs to be used to sixth-form philosophy students. It is perhaps the most important practical application of learning philosophy that its students can be forewarned against the pitfalls of such exploitative misrepresentation.

Venn Diagrams (And Mythical Creatures!)

August 27th, 2009


This is a delightful way to revise Venn Diagrams with older students: A Venn Diagram of mythical creatures.


Visit Flickr for the original at a range of sizes.