Problem solving for the 21st century

Mathematical problem solving has been the subject of substantial and often controversial research for several decades. We use the term, problem solving, here in a broad sense to cover a range of activities that challenge and extend one’s thinking. In this chapter, we initially present a sketch of past decades of research on mathematical problem solving and its impact on the mathematics curriculum. We then consider some of the factors that have limited previous research on problem solving. In the remainder of the chapter we address some ways in which we might advance the fields of problem-solving research and curriculum development.

The return of a forgotten polymer : Polycaprolactone in the 21st century

During the resorbable-polymer-boom of the 1970s and 1980s, polycaprolactone (PCL) was used in the biomaterials field and a number of drug-delivery devices. Its popularity was soon superseded by faster resorbable polymers which had fewer perceived disadvantages associated with long term degradation (up to 3-4 years) and intracellular resorption pathways; consequently, PCL was almost forgotten for most of two decades. Recently, a resurgence of interest has propelled PCL back into the biomaterials-arena. The superior rheological and viscoelastic properties over many of its aliphatic polyester counterparts renders PCL easy to manufacture and manipulate into a large range of implants and devices. Coupled with relatively inexpensive production routes and FDA approval, this provides a promising platform for the production of longer-term degradable implants which may be manipulated physically, chemically and biologically to possess tailorable degradation kinetics to suit a specific anatomical site. This review will discuss the application of PCL as a biomaterial over the last two decades focusing on the advantages which have propagated its return into the spotlight with a particular focus on medical devices, drug delivery and tissue engineering.

Practising public relations in the global community of the 21st century : a comparison of business practices and culture in three world regions

Non-Western practitioners across the globe instinctively attempt to implement Western-based public relations models and theories, often unsuccessfully, regardless of their surrounding environment. This paper reviews business practices and reveals that in Europe, company interests are a main priority, while in Asia, the line between business and personal relationships is extremely blurred. Cultural dimensions and topois were even more varied between the three regions. Implications for the adoption of Western models of public relations practice are discussed.

Personalising teacher professional development : strategies enabling effective learning for educators of 21st century students

In the Knowledge Society, new demands are placed on teachers as they strive to empower young people to be global citizens, ready for the 21st century. Systemic shifts need to be made, however, to build capacity across the workforce to practise new ways of teaching and learning, including the personalisation of teacher professional development. This article argues new strategies and approaches for effective adult learning, including an individualised focus, context-based learning and an empowerment of teachers to develop their own personal learning networks. This article concludes with an analysis of the challenges facing professional development leaders in moving towards personalised teacher learning.

Engineering curricula in the 21st century : the global scenario and challenges for India

In the 21st century's global economy, the new challenges facing the engineering profession have arrived, confirming the need to restructure engineering curricula, teaching and learning practices, and processes, including assessment. Possessing merely technical knowledge no longer guarantees an engineering graduate a successful career. And while all countries are facing this dilemma, India is struggling the most. It has been argued that most Indian engineering educational institutions struggle with the systemic problem of centralisation coupled with an archaic examination system that is detrimental to student learning. This article examines some internationally renowned educational institutions that are embracing the growing importance of non-technical subjects and soft skills in 21st century engineering curricula. It will then examine the problems that India faces in doing the same.

It’s not me, it’s you : a participant observation case study of the self-publishing musician in the 21st century

This thesis explores the business environment for self-publishing musicians at the end of the 20th century and the start of the 21st century from theoretical and empirical standpoints. The exploration begins by asking three research questions: what are the factors affecting the sustainability of an Independent music business; how many of those factors can be directly influenced by an Independent musician in the day-to-day operations of their musical enterprise; and how can those factors be best manipulated to maximise the benefit generated from digital music assets? It answers these questions by considering the nature of value in the music business in light of theories of political economy, then quantitative and qualitative examinations of the nature of participation in the music business, and then auto-ethnographic approaches to the application of two technologically enabled tools available to Independent musicians. By analyzing the results of five different examinations of the topic it answers each research question with reference to four sets of recurring issues that affect the operations of a 21st century music business: the musicians’ personal characteristics, their ability to address their business’s informational needs; their ability to manage the relationships upon which their business depends; and their ability to resolve the remaining technological problems that confront them. It discusses ways in which Independent self-publishing musicians can and cannot deal with these four issues on a day-to-day basis and highlights aspects for which technological solutions do not exist as well as ways in which technology is not as effective as has been claimed. It then presents a self-critique and proposes some directions for further study before concluding by suggesting some common features of 21st century Independent music businesses. This thesis makes three contributions to knowledge. First, it provides a new understanding of the sources of musical value, shows how this explains changes in the music industries over the past 30 years, and provides a framework for predicting future developments in those industries. Second, it shows how the technological discontinuity that has occurred around the start of the 21st century has and has not affected the production and distribution of digital cultural artefacts and thus the attitudes, approaches, and business prospects of Independent musicians. Third, it argues for new understandings of two methods by which self-publishing musicians can grow a business using production methods that are only beginning to be more broadly understood: home studio recording and fan-sourced production. Developed from the perspective of working musicians themselves, this thesis identifies four sets of issues that determine the probable success of musicians’ efforts to adopt new technologies to capture the value of the musicians’ creativity and thereby foster growth that will sustain an Independent music business in the 21st century.