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Professional bodies expect engineers to show competence in both mathematics and engineering topics such as mechanics, using their abilities in both of these to solve problems. Yet within engineering programmes there is a phenomenon known as ‘The Mathematics Problem’, with students not demonstrating understanding of the subject. This paper will suggest that students are constructing different concept images in engineering and mathematics, based on their perception of either the use or exchange-value for the topics. Using a mixed methods approach, the paper compares 10 different types of concept image constructed by students, which suggests that familiar procedural images are preferred in mathematics. In contrast strategic and conceptual images develop for mechanics throughout the years of the programme, implying that different forms of competence are being constructed by students between the two subjects. The paper argues that this difference is attributed to the perceived use-value of mechanics in the career of the engineer, compared to the exchange-value associated with mathematics. Questions are raised about the relevance of current definitions of competence given that some routine mathematical operations previously performed by engineers are now being replaced by technology, in the new world of work. [ABSTRACT FROM PUBLISHER]

In the twenty-first century, meeting our technological challenges demands educational excellence, a skilled populace that is ready for the critical challenges society faces. There is widespread consensus, however, that education systems are failing to adequately prepare all students with the essential twenty-first century knowledge and skills necessary to succeed in life, career, and citizenship. The purpose of this paper is to understand how twenty-first century knowledge and skills can be appropriately embedded in engineering education finalised to innovative product development by using additive manufacturing (AM). The study designs a learning model by which to achieve effective AM education to address the requirements of twenty-first century and to offer students the occasion to experiment with STEM (Science, technology, engineering, and mathematics) concepts. The study is conducted using the quality function deployment (QFD) methodology. [ABSTRACT FROM AUTHOR]