Guessing answers to pass a 5-item true false test: solving a binomial problem three different ways

Abstract

A binomial problem is examined through the use of three methods: a classical approach using the binomial formula, Pascal’s Triangle, and a frequentist approach using a Fathom™ simulation. Using both physical and virtual coins students explored the distinction between a coin-sequence and a coin-combination (where the order is not important) as a foundation for a 5-item True False test task. Pedagogy was based on general principles identified by probability education research as best practice and by Ma, who emphasised deep understanding of concepts through the use of multiple approaches to problem solving.