An aspect of mathematical understanding: the notion of 'connected knowing'

Much advice about teaching for understanding implies that teacher should help children to develop connections between aspects of their experience, knowledge, and skills. This paper outlines points from the literature about different types of connections and describes relevant points from four case study teachers said and did.

Bounded and unbounded knowledge : teaching and learning in a web 2 world

beginning of serious problems for the business models of publishers. The ease with which content can be accessed, copied and distributed disrupts the control of those whose role has been to manage and profit from the intellectual property rights of content producers. In effect, the number of “publishers” increased many fold as the Web and other Internet-based technologies became the dominant mode of content distribution. In education, and in other fields, matters of intellectual property, copyright and quality control came to the fore. More recently, with the advent of web based software that makes publishing online available to anyone with access to the Internet the number of “publishers” and modes of publication have increased massively. The shift from a Web which was, for many a read only environment to a read/write Web poses not only ongoing problems for the traditional distributors of content but also now, for the traditional producers of content and knowledge. In this respect, the role of universities as designers and producers of learning materials for credentialed learning is also under challenge. Just as publishers explore alternative business models to adapt to the new digital environment, now universities have begun to explore new ways of working with so-called Web2 software to support teaching and learning online. In particular, some Web2 software affords new opportunities for and different modes of collaboration, which in the view of some points to student participation in knowledge production. While these developments represent important and significant shifts for universities, this paper draws attention to the lack of empirical data and situated contextual knowledge concerning intellectual property rights for knowledge constructed in a collaborative context. In addition, we explore issues in relation to the maintenance of academic integrity and quality where knowledge building takes place in a collaborative, online environment.

Fun or profit : primary students' perceptions of mathematics and science

As the number of students pursuing mathematics and science in higher education decline, it becomes imperative· that we look for the causes of the decline. As part of the Australian Improving Middle Years Mathematics and Science (IMYMS) project, students were asked to rate their perceptions of classroom practice in mathematics and science and their attitudes to these subjects. Results of this survey reveal little difference in perceptions of classroom practice, but significant differences in students' attitudes between mathematics and science. Differences were particularly evident for items relating to the usefulness of mathematics and science (mathematics was more useful) and enjoyment of the subjects (science is more fun). If teachers are aware of such perspectives, it may be possible to change students' attitudes.

Effective student engagement depends on students enjoying their studies in mathematics and science, being confident in their ability and recognising the relevance of these subjects to everyday life, now and in the future.
(Education Training Committee, 2006, p. xvii)

Science and technology are the widely acknowledged foundation of Australia's future development. Underpinning these are the key learning areas of mathematics and science. However, Australia is experiencing a decline in numbers of mathematics and science students in higher education. Moreover, studies over the last two decades have shown a general decline in Australian students' interest and enjoyment of science across the compulsory secondary school years, with a particularly sharp decline across the primary to secondary school transition (e.g. Adams, Doig, & Rosier 1991; Goodrum, Hackling, & Rennie, 200 I) and a decline in the numbers of students studying' advanced mathematical courses in upper secondary school (Thomas, 2000).

Improving teaching and learning in the middle years of schooling (Years 5 to 9) is receiving particular attention because of the coincidence of the disengagement of students with the significance of these years for the preparation of students for their future role in society. Thus the Improving Middle Years Mathematics and Science: The role of subject cultures in school and teacher change (IMYMS) project, which is the source of data for this paper, is investigating the role of mathematics and science' knowledge and subject cultures in mediating change processes in the middle years of schooling.

Mathematics and science are sometimes seen as "love-hate" subjects, rating highest for subjects disliked, but also rating relatively highly among preferred subjects (Hendley & Stables, 1996). Students, even primary aged students, can often shed light on what constitutes good practice (see, for example, 'van den Heuvel-Panhuizen, 2005). Students' attitudes towards mathematics and science and their perceptions of what they regard as positive aspects of classroom practice have been shown to decline from the primary years to junior secondary (Race, 2000). The decline in interest in science in the early years of secondary school is of particular concern, since it is in these years that attitudes to the pursuit of science subjects and careers are formed (Speering & Rennie, 1996). Students' negative attitude towards the relevance of science ,content for their lives was a strong theme in the report by Goodrum, Hackling, & Rennie (2001) on the status and quality of teaching and learning of science.

As part of the IMYMS project, the IMYMS Student Survey was administered to all students in 2004 and 2005. The survey included a 36 item section on students' perceptions of classroom practice and attitudes towards mathematics and science, and a 24 item section on students' learning preferences. Students completed separate, parallel surveys for mathematics and science.

This paper focuses on students' perceptions and attitudes. It explores the differences in 700 Year 5 and 6 students' perceptions of their learning environment and their attitudes to mathematics and science during 2005, the second (and final) year of schools , involvement in the IMYMS project.

Fuzzy-neuro web-based multilingual knowledge management

This paper presents new methodology towards the automatic development of multilingual Web portal for multilingual knowledge discovery and management. It aims to provide an efficient and effective framework for selecting and organizing knowledge from voluminous linguistically diverse Web contents. To achieve this, a concept-based approach that incorporates text mining and Web content mining using neural network and fuzzy techniques is proposed. First, a concept-based taxonomy of themes, which will act as the hierarchical backbone of the Web portal, is automatically generated. Second, a concept-based multilingual Web crawler is developed to intelligently harvest relevant multilingual documents from the Web. Finally, a concept-based multilingual text categorization technique is proposed to organize multilingual documents by concepts. As such, correlated multilingual Web documents can be gathered/filtered/organised/ based on their semantic content to facilitate high-performance multilingual information access.

A provisional database for the silicon content of foods in the United Kingdom

Si may play an important role in bone formation and connective tissue metabolism. Although biological interest in this element has recently increased, limited literature exists on the Si content of foods. To further our knowledge and understanding of the relationship between dietary Si and human health, a reliable food composition database, relevant for the UK population, is required. A total of 207 foods and beverages, commonly consumed in the UK, were analysed for Si content. Composite samples were analysed using inductively coupled plasma–optical emission spectrometry following microwave-assisted digestion with nitric acid and H2O2. The highest concentrations of Si were found in cereals and cereal products, especially less refined cereals and oat-based products. Fruit and vegetables were highly variable sources of Si with substantial amounts present in Kenyan beans, French beans, runner beans, spinach, dried fruit, bananas and red lentils, but undetectable amounts in tomatoes, oranges and onions. Of the beverages, beer, a macerated whole-grain cereal product, contained the greatest level of Si, whilst drinking water was a variable source with some mineral waters relatively high in Si. The present study provides a provisional database for the Si content of UK foods, which will allow the estimation of dietary intakes of Si in the UK population and investigation into the role of dietary Si in human health.

Fat content of chips, quality of frying fat and deep-frying practices in New Zealand fast food outlets

Objectives: To collect baseline data on the fat content of hot chips, quality (degradation) of cooking fat, deep-frying practices and related attitudes in fast food outlets in New Zealand. To identify the key determinants of the fat content of chips and quality of cooking fat. Methods: A nationally representative sample of fast food outlets (n=150, response rate 80%) was surveyed between September 1998 and March 1999. Data collected included a questionnaire, observation of cooking practices and analysis of cooked chips and frying fat. Results: Only 8% of independent operators had formal training in deep frying practices compared with 93% of chain operators. There was a wide range of fat content of chips (5%-20%, mean 11.5%). The use of thinner chips, crinkle cut chips and lower fryer fat temperature were associated with higher chip fat content. Eighty-nine per cent of chain outlets used 6–10 mm chips compared with 83% of independent outlets that used chips ≥12 mm. A wide range of frying temperatures was recorded (136–233°C) with 58% of outlets frying outside the reference range (175–190°C). As indices of fat degradation, fat acid and polar compound values above the recommended levels occurred in 54% and 5% of outlets respectively. Operators seemed willing to learn more about best practice techniques, with lack of knowledge being the main barrier to change. Conclusions and implications: Deep frying practices could be improved through operator training and certification options. Even a small decrease in the mean fat content of chips would reduce the obesogenic impact of this popular food.

A logical framework for knowledge sharing in multi-agent systems

The issue of knowledge sharing has been an important topic in multi-agent research. Knowledge sharing leads to that agents analyze, judge and synthesize the told information so as to make agents’ own knowledge. To match these applications, this paper builds a logical framework for knowledge sharing among agents. We develop a multimodal logic for reasoning about both agents’ knowledge and told information. For formalizing the relationship between knowledge and told information, we present a framework of semantics, with respect to which a sound and complete proof theory is given.

Information navigation and knowledge discovery in virtual communities

Over the past decade, advances in the Internet and media technology have literally brought people closer than ever before. It is interesting to note that traditional sociological definitions of a community have been outmoded, for community has extended far beyond the geographical boundaries that were held by traditional definitions (Wellman & Gulia, 1999). Virtual or online community was defined in such a context to describe various forms of computer-mediated communication (CMC). Although virtual communities do not necessarily arise from the Internet, the overwhelming popularity of the Internet is one of the main reasons that virtual communities receive so much attention (Rheingold, 1999). The beginning of virtual communities is attributed to scientists who exchanged information and cooperatively conduct research during the 1970s. There are four needs of participants in a virtual community: member interest, social interaction, imagination, and transaction (Hagel & Armstrong, 1997). The first two focus more on the information exchange and knowledge discovery; the imagination is for entertainment; and the transaction is for commerce strategy. In this article, we investigate the function of information exchange and knowledge discovery in virtual communities. There are two important inherent properties embedded in virtual communities (Wellman, 2001):

Toward a synergy between simulation and knowledge management for business intelligence

The adoption of simulation as a powerful enabling method for knowledge management is hampered by the relatively high cost of model construction and maintenance. A two-step procedure, based on a divide and conquer strategy, is proposed in this paper. First, a simulation program is partitioned based on a reinterpretation of the model-view-controller architecture. Individual parts are then connected, in terms of abstraction, to guard against possible changes that resulted from shifting user requirements. We explore the applicability of these design principles through a detailed discussion of an industry case study. The knowledge-based perspective guides the design of architecture to accommodate the need of emulation without compromising the integrity of the simulation program. The synergy between simulation and a knowledge management perspective, as shown in the case study, has the potential to achieve the objectives of rapid development of models, with low maintenance cost. This could, in turn, facilitate an extension of the use of simulation in the knowledge management domain.

The availability of information in knowledge-based economies

The use of information is preceded by its availability. For post-industrial economies to exploit information to full potential it is important for knowledge to be free of vested-interest censorship and manipulation. History suggests that a range of vested-interests have manipulated explicit> information availability through various forms of sectarian, state and business manipulation of the systems of information storage and transfer. The OECD 1996 report "The Knowledge-Based Economy" recognized that the diffusion of knowledge was as significant as its creation, and that knowledge distribution networks were crucial to innovation, production processes and product development. The success of enterprises and national economies is considered reliant on the effectiveness of their ability to gather, distribute and utilize knowledge. The increasing need for ready access (of information that might become knowledge) in accordance with the OEDC definition is particularly relevant to this paper as it assumes infrastructures capable of providing that need. Wherever there are infrastructures there are opportunities to benefit from them, either for profit or power. This paper considers the implications of sectarian, state and business-model control over the selective content, storage and dissemination of information and knowledge, both from historical and current perspectives. The advent of new technologies and how they have enabled the flow of information adds new dimensions to knowledge control but the quality of knowledge is less certain and who controls or influences distribution of knowledge less transparent. It could be argued that at each step in the development of knowledge distribution networks, knowledge and its distribution, is not free of the possibility of third-party vested interest.

Consumer knowledge and attitudes to salt intake and labelled salt information

The objective of this study was to investigate consumers’ knowledge of health risks of high salt intake and frequency of use and understanding of labelled salt information. We conducted a cross-sectional survey in shopping centres within Metropolitan Melbourne. A sample of 493 subjects was recruited. The questionnaire assessed salt related shopping behaviours, attitudes to salt intake and health and their ability to interpret labelled sodium information. Four hundred and seventy four valid surveys were collected (65% female, 64% being the main shopper). Most participants knew of the relationship between salt intake and high blood pressure (88%). Sixty five percent of participants were unable to correctly identify the relationship between salt and sodium. Sixty nine percent reported reading the salt content of food products when shopping. Salt label usage was significantly related to shoppers concern about the amount of salt in their diet and the belief that their health could improve by lowering salt intake. Approximately half of the sample was unable to accurately use labelled sodium information to pick low salt options. Raising consumer awareness of the health risks associated with high salt consumption may increase salt label usage and purchases of low salt foods. However, for food labels to be effective in helping consumers select low salt foods a more ‘user friendly’ labelling format is needed.

Knowledge sharing by organisations in sustainable development projects

There are an increasing number of organisations seeing the benefits of implementing sustainable development practices within their processes and product design. However, there are a number of barriers that are preventing organisations from taking up this challenge. Some of these barriers could be reduced through the application of better external knowledge sharing. This paper explores the potential for sharing knowledge about sustainable development practices in academic and industry journals. Using content analysis, the types of projects that are discussed and the level of detail provided in the reporting of sustainable development initiatives by organisations are examined to identify what is being communicated and more importantly to identify what is not being shared. The results show that there is a lack of detail in reporting with a focus on reporting only certain types of sustainable development projects that may prevent knowledge sharing from occurring.

Critical perspectives on communities of mathematical inquiry

While the notion of Communities of Inquiry (CoI) has its origins in philosophy, there has been widespread interest in mathematics classrooms as Communities of Mathematical Inquiry (CoMI). This paper outlines the structure and content of Research Forum 2: Critical Perspectives on Communities of Mathematical Inquiry, gives a brief review of research in the area, and highlights some key issues.

Policy framework for a knowledge society : families and knowledge

My thesis examines the link between families, harm and knowledge in a society where knowledge is increasingly the central organising principle (Bohme 1997: 449-450; Stehr 1994: 6), and represents the capacity for action (Stehr 1994: 8). I observed as a consultant in the 1990s that practitioners in family work were able to articulate what works but often unable to articulate why and therefore unable easily to replicate what works. This time coincided with increasing commentary on complexities of living, capacity of families to cope, identification of the scale of family harm, and use of the term 'the knowledge society'. My aim is to identify why what works, works with families exhibiting harmful behaviours and families acquiring knowledge from learning everyday life skills so as to lead less harmful and more fulfilling lives. And by such explanations inform, replicate and scale up practice to benefit more families exhibiting harm. I conceptualise the outcome as a sequence of family, community and policy work in an ecological framework (Bronfenbrenner 1979) within a knowledge society. My method was a year-long action research project with a family support service in New South Wales. I engaged in reflective practice with workers, and a parallel literature review that supported additional reflective practice. I found growing complexity of life requires growing knowledge. I found a distinction between everyday and abstract life worlds, and with families principally acting in the everyday life world. It is a world from which some families and their members seek to escape, often by means of harmful behaviours of neglect, abuse and violence. I substantiated the link that the family support service of my study sees between relationships, behaviours and affects; and I linked this in turn with its therapeutic engagement of the whole family — adults and children, male and female, victims and perpetrators. This engagement involves a process of learning (Rogers 1967: 280) to acquire fulfilling behaviours. It is a process of adult and experiential learning of relationship skills, drawing on under-used reserves of families. Relationship skills form a basis of acquiring other life skills since most require relationships with others to perform life skills. Combining the sequence of family, community and policy work with workers engaging in reflective practice of their work creates capacity for community institutions to replicate and scale up what works and why. Understanding this sequence may assist community institutions to inform policymakers of benefits common to all policy interests of such replication and scaling up. I conceptualise a policy framework of families and knowledge in a knowledge society and two lower level frameworks of process and content of life skills. Implications of these for practice, policy, and theory include a greater distinction between everyday and abstract knowledge and skills; recognition of a sequential process of information, learning, and knowledge; and inclusiveness and fluidity in learning in diverse adult learning settings and in family support professions.