Abstract

This study was carried out at a South African university. The aim of the study was to test entry-level students’ fractions skills in order to facilitate teaching at appropriate levels. The sample consisted of 94 first-year entry level students (54 mainstream and 40 extended stream) who were enrolled for national diplomas in science and engineering, out of a population of 120 students. The instrument had 20 items, including three multiple choice questions (MCQs). The data were analyzed using Microsoft Excel 2013. The main finding was that entry-level students enrolled for engineering and science diplomas performed poorly in a test of numeracy skills. The average score (47.8%) was regarded as a cause for concern, especially considering that the test was pitched at Grade 8 level. The study also found that students struggled to apply proportional reasoning when dealing with word problems. Mathematics teachers and lecturers need to be aware of students’ difficulties and ought to attempt to assist them to overcome such challenges. It is hoped that this paper will be useful to mathematics curriculum implementers at school level, subject advisors at the district level, pre-service teacher educators at Teachers’ colleges and universities, and university lecturers teaching mathematics at first year level.

Highlights

  • A current theme in the mathematics literature revolves around the question whether students’ difficulties with fractions have been resolved by the time they enrol at university

  • The sample consisted of university entry level students who were enrolled for mathematics, a service course for national diploma studies in engineering and science

  • About a third (32 or 34.0%) was considered to be “at risk” of failing mathematics based on Grade 12 mathematics scores below 50% (Table 1)

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Summary

Introduction

A current theme in the mathematics literature revolves around the question whether students’ difficulties with fractions have been resolved by the time they enrol at university Some people regard this as a reasonable assumption, especially for students who register for science and engineering courses. This is not necessarily the case (Barwell, 2004; Houston et al, 2015; Wilson & MacGillivray, 2007). The terms “numeracy” and “quantitative literacy” are considered as synonyms and used interchangeably in this paper

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