Gaining useful insight into real-world problems through mathematical modelling is a valued activity across several disciplines including mathematics, biology, computer science and engineering. Differential equations are a valuable tool used in modelling. Modelling provides a way for students to engage with differential equations within a…

The treatment of kurtosis in textbooks is both sparse and contradictory with applications rarely discussed. To address this, an easily understood definition of kurtosis is introduced and important applications are demonstrated. Two different approaches to teaching kurtosis are presented based on a financial application.

We discuss a major change in the way we teach our first-year statistics course. We have redesigned this course with emphasis on teaching critical thinking. We recognized that most of the students take the course for general knowledge and support of other majors, and very few are planning to major in statistics. We identified the essential aspects…

This article discusses the mathematical needs of secondary teachers, in particular senior secondary teachers who are preparing students for tertiary mathematical study. It also reports on data concerning secondary mathematics teacher qualifications in New Zealand, Australia and the United Kingdom. Despite an increasing need for both deeper and…

The University of Auckland offers a one-year pre-degree Tertiary Foundation Certificate (TFC) Programme, for up to 200 students who are under-prepared for university study. The students may come straight from school without having gained a university entrance qualification, or they may be students returning to education who lack the confidence to…