Rolling dice and tossing coins can still be used to teach probability even if students know (or think they know) what happens in these experiments. This article considers many simple variations of these experiments which are interesting, potentially enjoyable and challenging. Using these variations can cause students (and teachers) to think again…

This paper presents the results of an experiment conducted to assess the affects of teaching recursion in two disjoint, non-consecutive units of instruction. One group of students was taught basic and advanced recursion topics in four consecutive class periods, while a second group was taught recursion in two two-period blocks that were separated…

The development of conceptual understanding in arithmetic is a gradual process and children may make use of a concept in some situations before others. Previous research has demonstrated that when children are given arithmetic problems with an inverse relationship they can infer that the initial and final quantities are the same. However, we do…