This paper reports on a new initiative of collaborative work between the Australian Curriculum, Assessment and Reporting Authority (ACARA) and Cambridge University as part of the 2020-21 review of the Australian Curriculum: Mathematics Foundation -- Year 10. The ACARA mathematics curriculum development team worked with the Cambridge Mathematics…

For any density function (or probability function), there always corresponds a "cumulative distribution function" (cdf). It is a well-known mathematical fact that the cdf is more general than the density function, in the sense that for a given distribution the former may exist without the existence of the latter. Nevertheless, while the…

This study, conducted with children 4 to 11 years old, indicates that probability concepts could be introduced early in the elementary grades. (MK)

Some counterintuitive ideas in probability are examined. In particular, for sequential selection procedure, such as drawing cards, it is shown that there is probabilistic advantage to drawing first (or early) relative to drawing last (or late) in the sequence. (Author/MK)

This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…