On the Number of Cycles in Randomly Selected Permutations

In this article we derive the distribution, mean and variance of the number of cycles in a randomly selected permutation of the first n integers.     

History Run Wild: The Alternate World of Joan Aiken’s <Emphasis Type="Italic">The Wolves of Willoughby Chase</Emphasis> Series

This article examines the historical fantasy world created by Joan Aiken in the eleven volumes of her Wolves of Willoughby Chase series. In particular it looks at her subversion of historical reality by the creation of an alternative yet recognisable representation of our own world, using a wide range of events, and the remoulding of aspects of language and geography. It also discusses her reasons for writing in this form and explores the character of Dido Twite as heroine and major raison dtre of the series.This revised version was published online in May 2005 with corrections to the article title.     

Learning organic chemistry through natural products

Chemical methods to determine the conformations and absolute configurations of menthol, a cyclohexane derivative with 3 chiral centres, are described.     

Learning organic chemistry through natural products

Some interesting examples of the linkage between the structure and biological function of secondary metabolites in plants and animals are described.     

Expertise Differences in the Comprehension of Visualizations: a Meta-Analysis of Eye-Tracking Research in Professional Domains

This meta-analysis integrates 296 effect sizes reported in eye-tracking research on expertise differences in the comprehension of visualizations. Three theories were evaluated: Ericsson and Kintsch’s (Psychol Rev 102:211–245, 1995) theory of long-term working memory, Haider and Frensch’s (J Exp Psychol Learn Mem Cognit 25:172–190, 1999) information-reduction hypothesis, and the holistic model of image perception of Kundel et al. (Radiology 242:396–402, 2007). Eye movement and performance data were cumulated from 819 experts, 187 intermediates, and 893 novices. In support of the evaluated theories, experts, when compared with non-experts, had shorter fixation durations, more fixations on task-relevant areas, and fewer fixations on task-redundant areas; experts also had longer saccades and shorter times to first fixate relevant information, owing to superiority in parafoveal processing and selective attention allocation. Eye movements, reaction time, and performance accuracy were moderated by characteristics of visualization (dynamics, realism, dimensionality, modality, and text annotation), task (complexity, time-on-task, and task control), and domain (sports, medicine, transportation, other). These findings are discussed in terms of their implications for theories of visual expertise in professional domains and their significance for the design of learning environments.     

Facilitating Understanding of Movements in Dynamic Visualizations: an Embodied Perspective

Learners studying mechanical or technical processes via dynamic visualizations often fail to build an accurate mental representation of the system’s movements. Based on embodied theories of cognition assuming that action, perception, and cognition are closely intertwined, this paper proposes that the learning effectiveness of dynamic visualizations could be enhanced by grounding the movements of the presentation in people’s own bodily experiences during learning. We discuss recent research on embodied cognition and provide specific strategies for how the body can be used to ground movements during the learning process: (1) making or observing gestures, (2) manipulating and interacting with objects, (3) using body metaphors, and (4) using eye movements as retrieval cues. Implications for the design of dynamic visualizations as well as directions for future research are presented.     

Going Outside in Winter: A Qualitative Study of Preschool Dressing Routines

The exploratory study focused on describing typical routines of preparing for winter outdoor play with preschool children and their teachers. Naturalistic observations, interviews and photographs resulted in extensive examples of children’s development in cognitive understanding of winter and winter-related concepts. Observations of teachers and assistants revealed task-oriented perspectives including detailed strategies and planning. Asynchronous communication and directive language were typical of teacher/child communication. Photo analyses confirmed physical skills used by preschoolers to accomplish dressing tasks and extensive curricular changes to indoor environments.     

Effectiveness of Case-Based Learning Instruction on Epistemological Beliefs and Attitudes Toward Chemistry

The purpose of the study was to investigate the effectiveness of case-based learning instruction over traditionally designed chemistry instruction on eleventh grade students’ epistemological beliefs and their attitudes toward chemistry as a school subject. The subjects of this study consisted of 63 eleventh grade students from two intact classes of an urban high school instructed with same teacher. Each teaching method was randomly assigned to one class. The experimental group received case-based learning and the control group received traditional instruction. At the experimental group, life cases were presented with small group format; at the control group, lecturing and discussion was carried out. The results showed that there was a significant difference between the experimental and control group with respect to their epistemological beliefs and attitudes toward chemistry as a school subject in favor of case-based learning method group. Thus, case base learning is helpful for development of students’ epistemological beliefs and attitudes toward chemistry.     

How young people respond to learning spaces outside school: A sociocultural perspective

This article focuses on educational enterprises outside the formal sector, such as museums, botanical gardens and interactive science centres. International research is drawn on to illuminate how design, culture, educational strategies and settings combine to affect the way in which young people respond to experiences on offer, leading to analysis of the impact of such settings in promoting learning, and the likely implications for those who staff such venues. Aikenhead’s concept of the educator as ‘culture broker’ is developed to suggest ways in which learning might be best supported. It envisages a shift from ‘delivery’ strategies targeted at large groups towards approaches which focus on what learners choose to know about using dialogue between children and ‘known and trusted people’. Analysis of observed responses in various settings is undertaken from a sociocultural perspective using the notion of communities of practice. Implications for the roles of education managers and their staff in further research are developed.