As engineers, we like to draw simple diagrams of the systems that we are attempting to analyse because most of us are pictorial problem-solvers and recording the key elements of a problem in a sketch helps us to identify the important issues and select an appropriate solution procedure [see ‘Meta-representational competence’ on May 13th, 2015]. Of course, these simple representations can be misleading if we omit parameters or features that dominate the behaviour of the system; so, there is considerable skill in idealising a system so that the analysis is tractable, i.e. can be solved. Students find it especially difficult to acquire these skills [see ‘Learning problem-solving skills‘ on October 24th, 2018] and many appear to avoid drawing a meaningful sketch even when examinations marks are allocated to it [see ‘Depressed by exams‘ on January 31st, 2018]. Of course, in thermodynamics it is complicated by the entropy of the system being reduced when we omit parameters in order to idealise the system; because with fewer parameters to describe the system there are fewer microstates in which the system can exist and, hence according to Boltzmann, the entropy will be lower [see ‘Entropy on the brain‘ on November 29th, 2017]. Perhaps this is the inverse of realising that we understand less as we know more. In other words, as our knowledge grows it reveals to us that there is more to know and understand than we can ever hope to comprehend [see ‘Expanding universe‘ on February 7th, 2018]. Is that the second law of thermodynamics at work again, creating more disorder to counter the small amount of order achieved in your brain?
As a student, in the run up to exams, I used to enjoy going out walking in the hills on my own. This approach to exam preparation probably surprised my fellow students. While other walkers that I came across probably thought I was mad because, in an age before mobile phones, they would see me talking to myself; because, as I walked, I was reciting material that I needed to learn for the next exam. This technique worked for me but I have hesitated to recommend such behaviour to my students. Now, I’ve discovered that psychologists have found that cognitive performance is improved in young adults while walking at a comfortable, relaxed speed. This is probably connected to the neurogenesis that I wrote about in my post entitled ‘Gone walking’ on April 19th, 2017.
So, as the examination season is underway in many universities, I thought I should pass on my rather eccentric approach to exam revision. No doubt, I’ll discover that I wasn’t so eccentric after all but none of us dared share such an unconventional approach to exam preparation.