In this research, respondents are presented with sequences of heads and tails derived from flipping a fair coin five times and asked to consider their chances of occurrence. A new iteration of the comparative likelihood task, which maintains the ratio of heads to tails in all of the sequences presented, provides unique insight into individuals perceptions of randomness and associated probabilities. To develop the aforementioned insight, unconventional interpretations of the sample space, organized according to switches, longest run, and switches and longest run, help situate ...

A volume in The Montana Mathematics Enthusiast: Monograph Series in Mathematics Education The teaching and learning of mathematics in British Columbia has a long and storied history. An integral part of the past 50 years (1962-2012) of this history has been Vector: Journal of the British Columbia Association of Mathematics Teachers. This volume, which presents ten memorable articles from each of the past five decades, that is, 50 articles from the past 50 years of the journal, provides an opportunity to share this rich history with a wide range of individuals interested in the teaching and...

A volume in The Montana Mathematics Enthusiast: Monograph Series in Mathematics Education The teaching and learning of mathematics in British Columbia has a long and storied history. An integral part of the past 50 years (1962-2012) of this history has been Vector: Journal of the British Columbia Association of Mathematics Teachers. This volume, which presents ten memorable articles from each of the past five decades, that is, 50 articles from the past 50 years of the journal, provides an opportunity to share this rich history with a wide range of individuals interested in the teaching and...