Class sizes

This morning before walking out the front door I saw someone on a BBC morning programme suggesting that their political parties contribution to the education sector was a reduction in classroom sizes.

I find this interesting that classroom sizes continue to be considered as a measure of how good a school or an education system is.   In the case of the comments on BBC the person making the comments was equating classroom size to an improvement in the quality of education.

Hanushek (1998) suggested that the linkage between smaller class sizes and improved students results was “generally erroneous”.     Kahneman (2011) went further in suggesting that the fact associated with such a claim were “wrong”.

Kahneman’s explanation (2011) was that the reason for the findings relates to statistics and what he refers to as the “law of small numbers”.     A small class is made up of a smaller number of students which therefore results in higher levels of variability in terms of the average.    He uses an example of drawing coloured marbles from a jar to demonstrate this.   Consider randomly picking marbles from a jar containing red and blue marbles.  There is a higher probability of drawing out 3 of acolour (3 high achievers in a small class) than of drawing out 6 of a colour (6, the equivalent number of, high achievers but in a bigger class).

marbles

Within a larger class size there is a greater tendency towards regression to the mean and therefore a more stable and less variable average across schools.

The association of improved results resulting from more teacher time, more support, etc resulting from a smaller class sizes is therefore unfounded.    The improved results in schools with smaller class sizes is simply a feature of the statistical analysis of small sample sizes.   Kahneman suggests that if the researchers were to change their question and look at if poor results could be linked to small classes they would find this to be equally true.

My feeling on this is that generally class size doesn’t have a significant impact on student results within lower and upper limits.    Where the ratio is 1 teacher to 2 or 3 students I would expect to see a positive impact and equally at 50+ students I would expect to see a negative impact.   Within the larger range between 5 and 50 I would expect the impact to be minimal if evident at all.

Care needs to be taken with the use of statistics and care has to be taken in believing them.   As Kahneman explains, it is easy to create a causal explanation for why a given set of statistics such as those on class size make sense.   The ease with which a causal explanation comes to mind however doesn’t necessarily make the explanation and resulting judgement true.

Sources

Hanushek, E. A. (1998), The evidence on class size, W. Allen Wallis Institute of Political Economy

Kahneman, D. (2011), Thinking, fast and slow, Penguin Books

 

 

Advertisements

Author: garyhenderson2014

Gary Henderson is currently the Director of IT in an Independent school in the UK. Prior to this he worked as the Head of Learning Technologies working with public and private schools across the Middle East. This includes leading the planning and development of IT within a number of new schools opening in the UAE. As a trained teacher with over 15 years working in education his experience includes UK state secondary schools, further education and higher education, as well as experience of various international schools teaching various curricula. This has led him to present at a number of educational conferences in the Middle East. In addition Gary is a Google and Microsoft Certified Educator.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s