I recently read the study by Askew et el (1997) called Effective teachers of numeracy in primary schools: teachers beliefs practices and pupils learning and it introduced me to a term called connectionist teaching. Connectionist teachers have "beliefs based around both valuing pupils methods and teaching strategies with an emphasis on establishing connections within mathematics." The study compared this style of teaching with discovery teaching and transmission teaching. It found that teachers with a strong connectionist orientation are more likely to have classes that made greater gains than those classes of teachers with strong discovery or transmission orientations. So what do connectionist teachers do? According to the study, connectionist teachers lessons are generally characterised by a high degree of focused discussion. These discussions were carefully monitored to bring out key strategies and ideas on the concept being taught. Pupils were expected to be able to expla...