`Creative mathematics' – real or rhetoric?

The notion of creativity has its natural home in the fine arts, where the artist literally creates something that can be perceived by the senses. The products of mathematical activity are clearly not of this kind, yet some distinguished mathematicians have claimed that mathematics offers considerable scope for creativity. The title of the book under review, and some claims to be found in it, suggest that creativity can indeed be associated with mathematics, and that young children may experience it in the classroom. We suggest that the word creative is being used in rather different senses in these different contexts, yet the meanings associated with the arts, say, are in danger of being applied to mathematical situations for rhetorical purposes.This revised version was published online in September 2005 with corrections to the Cover Date.     

From real life to real life: bringing ‘double awareness’ from Action Learning programmes into organisational reality

In Action Learning programmes, it is held central to work on real business challenges (task) while learning about team and self (process); staying mindful aware of the process is referred to in this paper as ‘double awareness’, and emphasises noticing and acting on process cues while working on the task. As business challenges within Action Learning programmes are real, pertinent, and worked with in the context of the organisation, implementation of potential solutions to the challenges is proved to be efficient. However, less is known of how individual participants manage to stay with double awareness upon re-entry into the organisational routines left behind. The aim of this paper is to explore when, why, and how participants manage to maintain double awareness and act on what they notice when back in organisational reality – and what characterise the moments where they struggle to do so. A study will be shared, where participants have been followed for a period of time after an Action Learning-programme. The study takes a psychodynamic stance and contributes to the knowledge of the individual re-entry by exploring individual, group and organisational dynamics promoting and hindering double awareness. The concepts ‘mindful avoidance’ and ‘mindful alertness’ are introduced as essential conceptual findings. Finally the paper will explore how the overall findings can be applied back into Action Learning-methodology as enablers for improvement.     

Can virtual schools thrive in the real world?

Despite the relatively large number of students enrolled in Ohio’s virtual schools, it is unclear how virtual schools compare to their traditional school counterparts on measures of student achievement. To provide some insight, we compared the school performance from 2007-2011 at Ohio’s virtual and traditional schools. The results suggest that Ohio’s virtual schools have grown rapidly, but also have experienced much lower levels of school performance than traditional schools. In light of these findings, we discuss factors that may be contributing to the large number of low-performing virtual schools in Ohio. Considering the lack of sufficient evidence that Ohio’s virtual schools are effective, we conclude that the relentless pursuit to expand virtual schools is problematic.     

Will the real discrepant learning disability please stand up?

Willson and Reynolds (in this issue) challenged my thesis that the regression-based discrepancy method (RDM) is not a valid tool to detect aptitude-achievement discrepancies. In this response, I show that the statistical and theoretical counterarguments of Willson and Reynolds are based on a misreading of the statistical models presented. Furthermore, I demonstrate that the regression adjustment, which is largest for lower correlations, is the direct source of the lack of validity of the RDM procedure. Nevertheless, RDM can be considered a valid method to measure an achievement component that is unrelated to intelligence.     

Estimation of ‘real’ numerosities in elementary school children

Groups of mathematically strong and weak second-, fourth- and sixth-graders were individually confronted with numerosities smaller and larger than 100 embedded in one-, two- or three-dimensional realistic contexts. While one third of these contexts were totally unstructured (e.g., an irregular piece of land jumbled up with 72 cars), another third had a clear structure (e.g., a 16x4 rectangular parking lot completely filled with 64 cars), and a last third had a “semi-structure” (e.g., the same 16x4 parking lot but with a number of cars missing). Besides analyzing the effects of different task and subject variables on pupils’ accuracy and response-time data, the study involved and analysis of their estimation strategies, with an emphasis on multiplicative strategies that profited by some of the tasks’ geometrical (semi-)structure. It was found that many children actually made use of such strategies, that using these strategies did however not always led to accurate estimations, and that their frequency and efficiency increased with age.     

Design‐based science and real‐world problem‐solving

Design‐based science (DBS) is a science pedagogy in which new scientific knowledge and problem‐solving skills are constructed in the context of designing artifacts. This paper examines whether the enactment of a DBS unit supported students’ efforts to construct and transfer new science knowledge and ‘designerly’ problem‐solving skills to the solution of a new real‐world design problem in a real‐world setting. One hundred and forty‐nine students participated in the enactment of a DBS unit. Their understanding of the curricular content was assessed by identical pre‐instructional and post‐instructional written tests. They were then given a new design problem as a transfer task. There was a statistically significant increase on scores from pre‐test to post‐test with an effect size of 1.8. There was a stronger correlation between the scores of the transfer task and those of the post‐test than with those of the pre‐test; we use this finding to suggest that the knowledge that was constructed during the unit enactment supported the solution of the transfer task. This has implications for the development of science curricula that aim to lead to the construction of knowledge and skills that may be useful in extra‐classroom settings. Whether participation in consecutive enactments of different DBS units increases transfer remains to be investigated in more depth.     

Adult learning and action learning — A real workplace learning approach

Abstract

The Rural Extension Centre (REC) has developed an approach to accredited training that is based on adult learning principles and is driven by an action learning approach. One of the central features of this approach is the use of real workplace based learning projects to allow participants to immediately apply the theory of the subject being studied in a practical and useful way.

The emphasis is on learning in these projects, however, they are directly based in the workplace with immediate benefits for the individual, their organisation and their clients.

Action learning is applied in the courses offered by the REC at three levels. The levels are micro-, macro- and mega- that is; on a daily basis in the residential sessions, on a weekly basis as developing learning projects and on a subject basis over the three to four months that the subject takes. The learning project is a key vehicle for learning between the residential sessions.

During residential sessions time is taken to ensure that the theory is delivered in a practical and useful way, to the extent that in some subjects there is real case study activity which allows the application of theory as the week goes on.     

Disney Stories: Does it really effect on real life?

<正>The aim of this research paper is to explore the underlying meaningful of Disney Story.In order to achieve this aim,this paper conducts critical evaluations of theories offered in past literature.It is hoped that the reader of this paper will gain a better understanding of the reason why many people addicted to the Disney Story and what is the Disney Story’s contribution of the real world.     

A new asymmetric watermarking scheme based on a real fractional DCT-I transform

A new asymmetric watermarking scheme is proposed in this letter. In the proposed scheme, a secret real fractional DCT-I transform and a primitive watermark are employed to generate an asymmetric watermark. The secret watermark for embedding is derived from the primitive watermark, and is embedded in the large fractional DCT-I transformation coefficients of a cover signal. The asymmetric detection procedure is performed using a correlation test. Simulation results showed that the asymmetric detection is reliable, and that the scheme can provide minimum security.     

Teachers’ perceptions of play fighting and real fighting in primary school

A sample of 30 teachers were given a questionnaire about how they viewed the relationship between playful fighting and real fighting. In addition, these teachers and 20 children aged five to seven were shown a videofilm of 20 fighting episodes, some playful and some real, and asked to make judgements about them; the responses of teachers and children were compared. Teachers reported difficulty in distinguishing playful from real fighting for about one‐third of occasions ‐ sometimes due to false information from children, and sometimes due to missing the whole of a complex sequence. They also thought that play fighting was about twice as frequent as real fighting, with both much more frequent in boys than girls; and that nearly one‐third of play fighting episodes would turn into real fighting (more often for boys than girls). The video analysis showed that the teachers tended to agree with children about the nature of episodes, but verbally reported a wider range of cues in making their judgements. Results are discussed in terms of some apparent areas of disagreement between teachers, children and outside observers concerning the relative frequency of playful and real fights, and the likelihood of the former turning into the latter.     

Implementing “real science” through microcomputers and telecommunications in project-based elementary classrooms

This is a study of an ongoing collaborative project in which science education faculty and upper elementary school teachers investigate the potential of a project-based, technologyrich, environmentally oriented approach to science education in an urban school serving a racially diverse population. Major conclusions based on the experience of participants in this study include: (1) teachers describe their instructional roles in terms highly consistent with student-centered, project-based, experiential learning; (2) teachers believe that what makes science real for students is the feeling that they are working on a truly current problem that is also being investigated by others outside their classroom. This is achieved by KidsNet, a microcomputer- and telecommunications-mediated curriculum, in a way that would not be possible without this technology; (3) teachers describe the actual and possible role of computer technology in terms which, while insightful and generally positive, are not clearly related to its flexible use in project-based learning; and (4) while teachers recognize meaningful connections between off-line science activities and the use of computer and telecommunications technologies, their students often do not.An earlier version of this paper was presented at the annual meeting of the American Educational Research Association, April 16, 1993, Atlanta, Georgia.This work was partially supported by a Higher Education Grant from the Dwight D. Eisenhower Mathematics and Science Education Improvement Program.     

Synchronized strategy to minimize vehicle dispatching time： a real example of steel industry

Time compression in supply chains is a crucial aspect involved in the integration of warehousing and transport operations in the manufacturing industries. Sup- ply chain flows could be interrupted due to many sources of delays that lead to additional time in dispatching process and reduction in customer service level. The problem considered in this paper consists of long waiting times of loading vehicles inside the plant. This work presents a simulation-based study to minimize vehicle dispatching time in a steel wire plant. Value stream map is developed to present a system perspective of processes involved in the overall supply chain. Process activity mapping is com- pleted to provide a step by step analysis of activities involved in the vehicle dispatch process. A simulation model is developed for the system and a new model is proposed to improve the delivery performance by mini- mizing vehicles＇ waiting time.     

Science Letters:A new asymmetric watermarking scheme based on a real fractional DCT-I transform

INTRODUCTIONDue to the ease of transmitting digital data and copying without loss of quality, the unauthorized distribution of digital multimedia contents has be-come easy and popular. Digital watermarking is the most promising technique to protect the copyright of digital multimedia contents (Cox et al., 2001). Most of the proposed watermarking schemes are symmetric, in which keys for watermark detecting are identical to those for watermark embedding. Therefore, symmet-ric watermarking s…     

Classroom disciplinary climate in secondary schools in England: What is the real picture?

This paper uses international data from a range of sources, principally the 2013 round of the Teaching and Learning International Survey (TALIS 2013), to provide new information on classroom disciplinary climate in secondary schools in England. The paper advances the literature in three distinct ways. Firstly, the data show that teachers in England perceive that there is considerable disruption in their classrooms. While some reports, especially from official sources, have suggested that classroom disruption is minimal in schools in England that does not seem plausible given these results from TALIS. Secondly, since TALIS contains comparable data for over 30 countries, the results for England can be set in a wider context. Reports in the media frequently highlight pupil disruption and suggest that classroom climate tends to be worse in England than in many other countries. In fact what emerges from the international comparison is that, on each of the items measuring classroom climate in TALIS 2013, the results for England were somewhat better than both the all‐country average and the average for a group of European comparators. Thirdly, the survey also includes a range of information about the school in which the teacher worked, the pupils which they taught, and the teachers themselves. We draw on this data to investigate which school‐level characteristics, teacher attributes, and characteristics of pupils in the classroom, were associated with favourable classroom climate in England. While some commentators have focused exclusively on school‐level factors, we emphasise the importance of within‐school variation.     

“I’m not a real academic”: a career from industry to academe

Over the past thirty years universities have increasingly extended their offerings of vocationally oriented degrees and have recruited into academe, practitioners from the professions. This paper reports on a qualitative study that investigated the experiences of 20 professionals-turned-academics in Australia; their expectations of academe and how they defined, resisted and took up the multiple and changing roles associated with academic work. Findings indicate that the majority experienced nostalgia for universities of the past which they imagined to be places of intellectual elitism and curiosity-driven research and scholarship. At the same time, they identified strongly as practitioners within their professional fields, were committed to field-oriented practical education and resisted taking up researcher identities, understanding ‘real’ research in narrowly defined terms. Our discussion of these findings highlights the tension between what is desired and what is real in academe and its impact on job performance and satisfaction for this group of academics.     

A comparative study on real lab and simulation lab in communication engineering from students’ perspectives

Over the years, rapid development in computer technology has engendered simulation-based laboratory (lab) in addition to the traditional hands-on (physical) lab. Many higher education institutions adopt simulation lab, replacing some existing physical lab experiments. The creation of new systems for conducting engineering lab activities has raised concerns among educators on the merits and shortcomings of both physical and simulation labs; at the same time, many arguments have been raised on the differences of both labs. Investigating the effectiveness of both labs is complicated, as there are multiple factors that should be considered. In view of this challenge, a study on students’ perspectives on their experience related to key aspects on engineering laboratory exercise was conducted. In this study, the Visual Auditory Read and Kinetic model was utilised to measure the students’ cognitive styles. The investigation was done through a survey among participants from Multimedia University, Malaysia. The findings revealed that there are significant differences for most of the aspects in physical and simulation labs.     

Hegel’s theory of self-consciousness and the real establishment of the basis of practical philosophy

Hegel’s practical philosophy must not be underestimated. The basis of practical philosophy was established only after Hegel understood consciousness as self-consciousness and expounded and proved the constitution of self-consciousness, i. e. found the intersubjective structure in self-consciousness.