The following are some of the common problems that can occur in classes and some ideas about how to cope with them:
Adapted from materials produced by Dr Alan Booth (University of Nottingham) and Jean Booth (University of Coventry). Enhancing Teaching Effectiveness in the Humanities and Social Sciences: participant guide (1997) UK Universities and Colleges Staff Development Agency, Sheffield, p115-6.
With thanks to Tony Whelan from the LSE for some of the following. Tony is a highly experienced class teacher who has run classes in Maths, Statistics and OR.
On an elementary statistics course, homework revealed that students had considerable difficulty with one important idea, namely that of an estimator. One successful class session involved spending half the time studying the relevant definitions and properties, with lots of examples of things that were, and that were not, estimators. This clarified the issues involved, and it was then possible to go back to the homework questions and clarify how the basic ideas applied in all of them.
In an elementary statistics course, there are strategies for calculating probabilities using two results known as Bayes' Formula and the Total Probability Formula. It is often useful, at an appropriate stage, to (re-)display those results, in a different colour from the "solution", to remind students just why the next calculation is the appropriate one to carry out. Similarly, in explaining the Gaussian Elimination method of manipulating matrices, it can be useful to put coloured boxes around the key cells and blocks being used at various stages in the calculations.
In an elementary statistics course, students meet the concept of "outliers", that is to say values in a set of data that seem a long way away from the bulk of the known data. In real-world situations, such anomalies can be due to, for instance, instrument errors. The discovery of the famous hole in the ozone layer, over Antarctica, illustrates both the importance and the difficulty of dealing with this problem in "real-world" situations: it was discovered using meteorological balloons, but then the question arose why meteorological satellites observing the same area earlier had not identified it first. It turned out that the computer programmes used to analyse the satellite data had been so written as to reject, as "outlier" instrument errors, true readings which ought to have revealed the ozone hole but were ignored until it was discovered a different way.
At some point in your career as a class teacher you may have to deal with a student who causes disruption in the class or who does not meet his/her course-related obligations, such as handing in assignments, attending classes regularly, etc. Although each case will be different, you will need to take some steps. Here are a few tips:
At various points in the year, you will want to assess how well you and your students are doing. Here are some suggestions to help you evaluate your classroom teaching:
"I asked if I could sit in on one of the experienced class teacher's classes, before I met my own group, just to see how he did it. I really liked his approach but I knew I wouldn't have the confidence to mimic him - still it gave me an idea of how to break up the time and how to avoid doing all the talking."