It is often assumed when students fidget they are not on task. Two within-subject studies challenge this assumption by testing the effect of allowing fidgeting on three types of thinking: speeded mental math (Study 1), brainstorming and memory (Study 2). Study 1 showed that student's performance on speeded math was no different when performed in a…

As part of individual interviews incorporating whole number and rational number tasks, 323 grade 6 children in Victoria, Australia were asked to nominate the larger of two fractions for eight pairs, giving reasons for their choice. All tasks were expected to be undertaken mentally. The relative difficulty of the pairs was found to be close to that…

Can children reason the Bayesian way? We argue that the answer to this question depends on how numbers are represented, because a representation can do part of the computation. We test, for the first time, whether Bayesian reasoning can be elicited in children by means of natural frequencies. We show that when information was presented to fourth,…