Future directions and perspectives for problem solving research and curriculum development

Since the 1960s, numerous studies on problem solving have revealed the complexity of the domain and the difficulty in translating research findings into practice. The literature suggests that the impact of problem solving research on the mathematics curriculum has been limited. Furthermore, our accumulation of knowledge on the teaching of problem solving is lagging. In this first discussion paper we initially present a sketch of 50 years of research on mathematical problem solving. We then consider some factors that have held back problem solving research over the past decades and offer some directions for how we might advance the field. We stress the urgent need to take into account the nature of problem solving in various arenas of today’s world and to accordingly modernize our perspectives on the teaching and learning of problem solving and of mathematical content through problem solving. Substantive theory development is also long overdue—we show how new perspectives on the development of problem solving expertise can contribute to theory development in guiding the design of worthwhile learning activities. In particular, we explore a models and modeling perspective as an alternative to existing views on problem solving.

Methodologies for investigating relationships between concept development and the development of problem solving abilities

This paper is the second in a pair that Lesh, English, and Fennewald will be presenting at ICME TSG 19 on Problem Solving in Mathematics Education. The first paper describes three shortcomings of past research on mathematical problem solving. The first shortcoming can be seen in the fact that knowledge has not accumulated – in fact it has atrophied significantly during the past decade. Unsuccessful theories continue to be recycled and embellished. One reason for this is that researchers generally have failed to develop research tools needed to reliably observe, document, and assess the development of concepts and abilities that they claim to be important. The second shortcoming is that existing theories and research have failed to make it clear how concept development (or the development of basic skills) is related to the development of problem solving abilities – especially when attention is shifted beyond word problems found in school to the kind of problems found outside of school, where the requisite skills and even the questions to be asked might not be known in advance. The third shortcoming has to do with inherent weaknesses in observational studies and teaching experiments – and the assumption that a single grand theory should be able to describe all of the conceptual systems, instructional systems, and assessment systems that strongly molded and shaped by the same theoretical perspectives that are being used to develop them. Therefore, this paper will describe theoretical perspectives and methodological tools that are proving to be effective to combat the preceding kinds or shortcomings. We refer to our theoretical framework as models & modeling perspectives (MMP) on problem solving (Lesh & Doerr, 2003), learning, and teaching. One of the main methodologies of MMP is called multi-tier design studies (MTD).

Communicating ecologically positive development

It is difficult to present a paradigm shift from resource efficient to ecologically sustainable design, when many students have not yet thought about what sustainability is, let alone what it implies for the design of the built environment ‘Positive Development’ requires students to think beyond green building to something that does not yet exist. The concept of ecologically positive development suggests a product, building, system or urban area that leaves the ecological base and public estate better off than if no development had occurred. For some years now, I have experimented with communicating this paradigm shift in design to students and professionals ‐ with mixed results. This paper discusses some of the challenges, failures and successes in shifting design studio work from environmentally‐sensitive to eco-positive. The framework underlying this exploration is action research. Conclusions about the success of the strategies used for overcoming perceptual barriers to new typologies of architecture are drawn from recent student feedback. The talk will show examples of student projects that attempt eco-positive development projects.

Cooperative learning in Thailand : professional development to enhance primary education

The overall purpose of this study was to develop a model to inform the design of professional development programs and the implementation of cooperative learning within Thai primary school mathematics classrooms. Action research design, with interviews, surveys and observations, was used for this study. Survey questionnaires and classroom observations investigated the factors that influence the implementation of cooperative learning strategies and academic achievement in Thai primary school mathematics classrooms. The teachers’ interviews and classroom observation also examined the factors that need to be addressed in teacher professional development programs in order to facilitate cooperative learning in Thai mathematics classrooms. The outcome of this study was a model consisting of two sets of criteria to inform the successful implementation of cooperative learning in Thai primary schools. The first set of criteria was for proposers and developers of professional development programs. This set consists of macro- and micro-level criteria. The macro-level criteria focus on the overall structure of professional development programs and how and when the professional development programs should be implemented. The micro-level criteria focused on the specific topics that need to be included in professional development programs. The second set of criteria was for Thai principals and teachers to facilitate the introduction of cooperative learning in their classrooms. The research outcome also indicated that the attainment of these cooperative learning strategies and skills had a positive impact on the students’ learning of mathematics.

Information for regulating action in sport : metastability and emergence of tactical solutions under ecological constraints

The aims of this chapter are twofold. First, we show how experiments related to nonlinear dynamical systems theory can bring about insights on the interconnectedness of different information sources for action. These include the amount of information as emphasised in conventional models of cognition and action in sport and the nature of perceptual information typically emphasised in the ecological approach. The second aim was to show how, through examining the interconnectedness of these information sources, one can study the emergence of novel tactical solutions in sport; and design experiments where tactical/decisional creativity can be observed. Within this approach it is proposed that perceptual and affective information can be manipulated during practice so that the athlete's cognitive and action systems can be transposed to a meta-stable dynamical performance region where the creation of novel action information may reside.

How does knowledge constrain sport performance? An ecological perspective

From an ecological perspective knowledge signifies the degree of fitness of a performer and his/her environment. From this viewpoint, the role of training is to enhance this degree of fit between a specific athlete and the performance environment, instead of the enrichment of memory in the performer. In this regard, ecological psychology distinguishes between perceptual knowledge or "knowledge of" the environment and symbolic knowledge or "knowledge about" the environment. This distinction elucidates how knowing how to act (knowing of) as well as knowing how to verbalise memorial representations (e.g., a verbal description of performance) (knowing about) are both rooted in perception. In this chapter we demonstrate these types of knowledge in decision-making behaviour and exemplify how they can be presented in 1 v 1 practice task contraints in basketball.

Increasing stochastic perturbations enhances acquisition and learning of complex sport movements

Traditionally, the aquisition of skills and sport movement has been characterised by numerous repetitions of presumed model movement pattern to be acquired by learners. This approach has been questioned by research identifying the presence of individualised movement patterns and the low probability of occurrence of two identical movements within and between individuals. In contrast, the differential learning approach claims advantage for incurring variability in the learning process by adding stochastic perturbations during practice. These ideas are exemplified by data from a high jump experiment which compared the effectiveness of classical and a differential training approach with pre-post test design. Results showed clear advantages for the group with additional stochastic perturbation during the aquisition phase in comparison to classically trained athletes. Analogies to similar phenomenological effects in the neurobiological literature are discussed.

Development of self-efficacy and expectancy measures for benzodiazepines

This study aimed to develop and assess the reliability and validity of a pair of self-report questionnaires to measure self-efficacy and expectancy associated with benzodiazepine use, the Benzodiazepine Refusal Self- Efficacy Questionnaire (BRSEQ) and the Benzodiazepine Expectancy Questionnaire (BEQ). Internal structure of the questionnaireswas established by principal component analysis (PCA) in a sample of 155 respondents, and verified by confirmatory factor analyses (CFA) in a second independent sample (n=139) using structural equation modeling. The PCA of the BRSEQ resulted in a 16-item, 4-factor scale, and the BEQ formed an 18-item, 2-factor scale. Both scales were internally reliable. CFA confirmed these internal structures and reduced the questionnaires to a 14-item self-efficacy scale and a 12-item expectancy scale. Lower self-efficacy and higher expectancy were moderately associated with higher scores on the SDS-B. The scales provide reliable measures for assessing benzodiazepine self-efficacy and expectancies. Future research will examine the utility of the scales in prospective prediction of benzodiazepine cessation.

The strategic and operational dimensions of staff training and professional development for information professionals : what neXus2 has revealed

The paper seeks to continue the debate about the need for professionals in the library and information services (LIS) sector to continually engage in career-long learning to sustain and develop their knowledge and skills in a dynamic industry. Aims: The neXus2 workforce study has been funded by the ALIA and the consortium of National and State Libraries Australasia (NSLA). It builds on earlier research work (the neXus census) that looked at the demographic, educational and career perspectives of individual library and information professions, to critically examine institutional policies and practices associated with the LIS workforce. The research aims to develop a clearer understanding of the issues impacting on workforce sustainability, workforce capability and workforce optimisation. Methods: The research methodology involved an extensive online survey conducted in March 2008 which collected data on organisational and general staffing; recruitment and retention; staff development and continuing professional education; and succession planning. Encouragement to participate was provided by key industry groups, including academic, public, health, law and government library and information agencies, with the result that around 150 institutions completed the questionnaire. Results: The paper will specifically discuss the research findings relating to training and professional development, to measure the scope and distribution of training activities across the workforce, to consider the interrelationship between the strategic and operational dimensions of staff development in individual institutions and to analyse the common and distinctive factors evident in the different sectors of the profession. Conclusion: The neXus2 project has successfully engaged LIS institutions in the collection of complex industry data that is relevant to the future education and workforce strategies for all areas of the profession. Cross-sector forums such as Information Online 2009 offer the opportunity for stimulating professional dialogue on the key issues.

Power law distributions in pattern dynamics of attacker-defender dyads in the team sport of Rugby Union : phenomena in a region of self-organized criticality?

In the region of self-organized criticality (SOC) interdependency between multi-agent system components exists and slight changes in near-neighbor interactions can break the balance of equally poised options leading to transitions in system order. In this region, frequency of events of differing magnitudes exhibits a power law distribution. The aim of this paper was to investigate whether a power law distribution characterized attacker-defender interactions in team sports. For this purpose we observed attacker and defender in a dyadic sub-phase of rugby union near the try line. Videogrammetry was used to capture players’ motion over time as player locations were digitized. Power laws were calculated for the rate of change of players’ relative position. Data revealed that three emergent patterns from dyadic system interactions (i.e., try; unsuccessful tackle; effective tackle) displayed a power law distribution. Results suggested that pattern forming dynamics dyads in rugby union exhibited SOC. It was concluded that rugby union dyads evolve in SOC regions suggesting that players’ decisions and actions are governed by local interactions rules.

Development of a controlled drinking self-efficacy scale and appraising its relation to alcohol dependence

There is no specific self-efficacy measure that has been developed primarily for problem drinkers seeking a moderation drinking goal. In this article, we report the factor structure of a 20-item Controlled Drinking Self-Efficacy Scale (CDSES; Sitharthan et al., 1996; Sitharthan et al., 1997). The results indicate that the CDSES is highly reliable, and the factor analysis using the full sample identified four factors: negative affect, positive mood/social context, frequency of drinking, and consumption quantity. A similar factor structure was obtained for the subsample of men. In contrast, only three factors emerged in the analysis of data on female participants. Compared to women, men had low self-efficacy to control their drinking in situations relating to positive mood/social context, and subjects with high alcohol dependence had low self-efficacy for situations relating to negative affect, social situations, and drinking less frequently. The CDSES can be a useful measure in treatment programs providing a moderation drinking goal.

Can Risk Management boost the supply of Affordable Housing Development and Management?

A shortage of affordable housing is a major problem in Australia today. This is mainly due to the limited supply of affordable housing that is provided by the non-government housing sector. Some private housing developers see the provision of affordable housing for lower income people as a high risk investment which offers a lower return than broader market-based housing. The scarcity of suitable land, a limited government ‘subsidy’, and increasing housing costs have not provided sufficient development incentives to encourage their investment despite the existing high demand for affordable housing. This study analyses the risk management process conducted by some private and not-for-profit housing providers in South East Queensland, and draws conclusions about the relationship between risk assessments/responses and past experiences. In-depth interviews of selected non-government housing providers have been conducted to facilitate an understanding of their approach to risk assessment/response in developing and in managing affordable housing projects. These developers use an informal risk management process as part of their normal business process in accordance with industry standards. A simple qualitative matrix has been used to analyse probability and impacts using a qualitative scale - low, medium and high. For housing providers who have considered investing in affordable housing but have not yet implemented any such projects, affordable housing development is seen as an opportunity that needs to be approached with caution. The risks associated with such projects and the levels of acceptance of these are not consistently identified by current housing providers. Many interviewees agree that the recognition of financial risk and the fear of community rejection of such housing projects have restrained them from committing to such investment projects. This study suggests that implementing improvements to the risk mitigation and management framework may assist in promoting the supply of affordable housing by non-government providers.

Investigation into Travel of Transit Oriented Development Residents’ of Kelvin Grove Urban Village

Travel surveys were conducted for collecting data related to residents’ travel at Kelvin Grove Urban Village (KGUV). Currently, KGUV has residents living in the affordable apartments, apartments, townhouses and student accommodation. As a part of data collection process, travel surveys were undertaken for residents living in apartments, affordable apartments and student accommodation. This document contains the questionnaire form used to collect the demographic and travel data related to residents at KGUV. A mail back survey technique was used to collect data for residents living in affordable apartment and apartments, and an intercept surveys was conducted for residents living in student accommodation.

Persistent chlamydial infections : role in inflammation and challenges for vaccine development.

The development of chlamydial vaccines continues to be a major challenge for researchers. While acute infections are the main target of vaccine development groups, Chlamydia is well known for its ability to establish chronic or persistent infections in its host. To date, little effort has focussed specifically on the challenges of vaccines to successfully combat the chronic or persistent phase of the disease and yet this will be a necessary aspect of any fully successful chlamydial vaccine. This short review specifically examines the phenomenon of chlamydial persistence and the unique challenges that this brings to vaccine development.