Given the recent radical overhaul of secondary school qualifications in New Zealand, similar in style to those in the UK, there has been a distinct change in the tertiary entrant profile. In order to gain insight into this new situation that university institutions are faced with, we investigate some of the ways in which these recent changes have…

This present study seeks to predict mathematical aptitude for higher education by examining the relationship between mathematics results from the Caribbean Examinations Council (CXC) general proficiency examination and the results from the General Certificate of Education (GCE) advanced level examination. This present study arose from a more…

Research with first year engineering students on an extended programme at the University of Pretoria indicates that competence in mathematics can be enhanced through academic support that combines the development of mathematical and non-mathematical skills. This paper investigates the effect of this approach on students' performance in mathematics…

It is difficult to ensure that incoming students enrol in first year courses at a level that is commensurate with their ability. Not only do students come from a diverse range of backgrounds, but mathematics at university is, in general, more rigorous and conceptual than it is at high school, and success at high school does not always guarantee…

During the past decade three different bridging mathematics courses have been offered at the University of Auckland. A case study approach was used to investigate the effectiveness of these courses: two larger courses and one individual study programme. A different teaching approach, by committed experienced teachers, was used in each course. The…

Measurement of the quality of teaching activities is becoming increasingly important since universities are rewarding performance in terms of promotion, awards and bonuses and research is no longer the only key performance indicator. Good teaching is not easy to identify and measure. This paper specifically deals with the issue of good teaching in…

At their final exam in linear algebra students at the author's university were given the possibility to choose between two types of proofs to be done. They could either prove two short statements by themselves or they could explain four steps in a given proof. This paper reports on investigations of students' responses to the choice option…

In this paper, results of a questionnaire about continuity of functions are analysed. The tested students attend Novi Sad grammar school. The aim of this test was to check the student's theoretical and visual knowledge of continuous functions at the end of their high school education. The questions were given with and without the graphs of…

It seems self-evident that there is a significant gap between secondary school and university mathematics, even though the gap may take different forms, which vary with different education systems in different places and at different times. This paper attempts to capture some common forms of this gap, and in particular, it discusses some core…

This paper describes the development of a procedure for investigating the ability of university students to employ their mathematical skills in a range of scientific contexts. This ability is called transfer. An instrument (consisting of a set of questions) to test transfer was designed jointly by three scientists and a mathematician and attempted…

This paper outlines an experiment in which pupils in Key Stage 2 were encouraged to use graphics calculators, in particular two simple programs, which helped them develop recall of their tables and allowed them to practise multiplication. The pupils responded very well to the calculators and seemed to have been motivated by them. The pupils did…

This paper reports on a collaboration between three authors; two mathematicians in a Swedish university and a UK-based mathematics educator. The focus of the enquiry was the evaluation of the experience of Swedish first-year undergraduate engineers required, in their mathematics class, to learn to use the programming language "Matlab". Students…