This study focuses on the mathematics department at a South African university and in particular on teaching of calculus to first year engineering students. The paper reports on a cause-effect analysis, often used for business improvement. The cause-effect analysis indicates that there are many factors that impact on secondary school teaching of mathematics, factors that the tertiary sector has no control over. The analysis also indicates the undesirable issues that are at the root of impeding success in the calculus module. Most important is that students are not encouraged to become independent thinkers from an early age. This triggers problems in follow up courses where students are expected to have learned to deal with the work load and understanding of certain concepts. A new model was designed to lessen the impact of these undesirable issues.
Self-directed learning is learning in which the conceptualization, design, conduct and evaluation of new content is directed and driven by the learner itself. This is an essential skill for students in the 21st century. Many large undergraduate courses use an online homework system to engage the whole class in the course material simultaneously. A very important advantage of using an online homework system is the quick feedback that gives students an immediate indication on how well they understand the work. The purpose of this study firstly focusses on constructing a framework along which to determine the role and success of an online homework system towards making students self-directed learners. The second purpose of this study is to give an example of how the framework can be used. The sample group consists of both engineering and mainstream first year mathematics students using the online homework system WebAssign. The study investigates the extent to which the online homework system fosters independent learning in these cohorts of students. The article concludes by discussing the findings, some discussion and conclusions of this framework.
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