Body fractions: A physical approach to fraction learning

Many students experience great difficulty understanding the meaning of fractions (Anthony & Walshaw, 2007; Behr, Lesh, Post & Silver, 1983; Davis, Hunting & Pearn, 1993; Lamon, 2007; Verschaffel, Greer & Torbeyns, 2006; Young-Loveridge, Taylor, Hawera & Sharma, 2007). For many students who have spent their early mathematics lessons focusing on counting (whole) numbers, recognising that there are many numbers between those whole numbers called fractional numbers, is quite revolutionary. The foundation of understanding fractions is the idea that they are parts of a whole. The fact that one whole object can be divided into many equal parts, with each part having a name relative to the original whole, opens up a whole new realm of number understanding for the students

Deepening students' understanding of multiplication and division by exploring divisibility by nine

This paper explores how a focus on understanding divisibility rules can be used to help deepen students’ understanding of multiplication and division with whole numbers. It is based on research with seven Year 7–8 teachers who were observed teaching a group of students a rule for divisibility by nine. As part of the lesson, students were shown a way of proving why the divisibility rule for nine works, using materials grouped in tens and hundreds. After the lesson, students’ understanding of multiplication and division was considerably deepened

The mathematical content knowledge and attitudes of New Zealand pre-service primary teachers

This paper presents data on the mathematical content knowledge and attitudes of pre-service primary teacher education students. The assessment consisted of nine tasks, including 2-digit computations and proportional reasoning. Students rated their liking for mathematics at three time points: primary, secondary, .and when assessed. Fewer than half the students liked mathematics, currently. Those with positive attitudes tended to perform well on mathematics tasks, but some low scorers were positive and some high' scorers were negative about mathematics. Most students used algorithmic procedures to solve problems and several consistent misconceptions were identified. Performance was noticeably poor on adding common fractions and converting fractions to percentages using knowledge of common factors. The implications of these findings for Initial Teacher Education (ITE) providers are presented

The best of both worlds – how vocational education can enhance university studies in construction management

Australian post-compulsory vocational or technical education and higher education (university) has traditionally been delivered separately. Attempts to collaborate on curriculum development and delivery have mostly been at the margins of articulation and educational pathways. This study examines a pilot project in construction management education conducted at RMIT University over a two-year period. The study demonstrates the challenges with mutual curriculum development between vocational and higher education in Australia and demonstrates the methods utilised to overcome these challenges. The results of the project reveal that the benefits to students in hands-on experiences, theoretical knowledge gained and practical demonstrations were invaluable and worthy of ongoing research and development. The article also raises critical questions about flexibility and mobility in educational institutions in Australia.<br /

Encouraging more students into construction management

The construction industry is plagued by the persistent, long-term problem of skill shortages and skill gaps, especially in construction management. Evidence indicates that the industry will not have enough flexible, qualified professionals able to exercise skills to match changing work requirements especially in new technology, over the coming decade. Upskilling existing workers and individuals with vocational education qualifications into higher education could provide an important solution to skill gap problems. Currently less than 16% of all individuals with vocational qualifications in construction undertake upskilling into higher education. This project investigated the factors that supported upskilling and transfer from VET to higher education (HE) in the construction industry. Interviews were conducted with 36 students who were upskilling from vocational education into higher education in eight Australian universities to elicit &ldquo;enablers&rdquo; of upskilling. The results, which identify a number of key enablers as seen through the eyes of students who have made the transition, provides the industry with insights into solving current and future skill gaps. These insights will benefit both the construction industry and the wider national population

Construction graduate salaries : the real story

Construction degrees are in significant demand in Australian universities. Entry students believe that graduation will lead to well-paid industry employment. Previous studies have identified trends in graduate starting salaries, but often combine categories of graduates to produce inadequate generalisations and salary averages. This study, conducted at RMIT University, Melbourne, examined a specific cohort of construction management students and provided an insight into their employment conditions and starting salaries. The results provide useful up to date information for undergraduate students and academic staff alike.<br /

Combining vocational and higher education studies to provide dual parallel qualifications – an Australian case study

Developing academic relationships between vocational colleges and universities in Australia has been problematic, with exchanges between the two sectors limited to linear articulation and prescribed credit transfer. Whilst some very good examples of collaboration exist, the two sectors generally operate independently of each other. The isolation of the sectors has meant frustration for students and employers who want a flexible, collaborative model to meet changing industry needs. This paper reports upon a pilot project in construction management at a Melbourne university that attempted to address these needs. It demonstrates how over a five year period, HE students completed electives in practical units within the VET sector. The overwhelming success of the project meant that practical electives were embedded in the construction management programme in 2007 and this paper reports on the third, final phase of the project in 2009/10 which saw construction management students graduate with a dual qualification &ndash; both a vocational qualification and a university degree. Interviews conducted in this final phase reveal that students and industry want the benefits of a practical and theoretical qualification. The paper raises critical questions about educational pathways and suggests long-term implications for construction and tertiary education in Australia and internationally.<br /

Where shall the future student learn? Student expectations of university facilities for teaching and learning

This paper examines some of the issues surrounding educational facilities - their design and impact upon student learning now and into the future. It details some of the recent literature in this area with particular emphasis upon teaching and learning trends that match the needs of modern students. The responses of a group of first year university students in the School of Property, Construction and Project Management at RMIT University are also matched against these trends. The conclusions from these responses drawn indicate that the future university student will want flexible learning spaces that can adapt to both individual and collaborative work with a strong emphasis on social learning and advanced technology. The responses also indicate a mismatch between existing lecture theatres and tutorial rooms and the third space learning that these graduates of 2011 want. The results have implications for all higher education institutions as we enter the new millennium. <br /

Parallel TAFE and higher education studies in construction management : from collaboration to dual qualifications.

Collaboration between TAFE (vocational colleges) and universities in Australia in construction management has been problematic, with exchanges between the two sectors limited to linear articulation and prescribed credit transfer. Articulation pathways have traditionally been viewed as the poor relation of university entry. In 2005, the first pilot project in dual sector construction education was conducted at RMIT University in Melbourne. Higher education students completed electives in practical units within the TAFE sector. Due to the overwhelming success of the project, practical electives were firmly embedded in the construction management programme in 2007 and this paper reports on the third, final phase of the project in 2009 which has seen construction management students graduate with a dual qualification &ndash; both a TAFE qualification and a Higher Education degree. The case studies of this final phase reveal that students and industry want the benefits of a practical qualification. The data raises critical questions about education pathways and suggests long-term implications for construction and dual sector education in Australia.<br /