Investigating teachers’ images of mathematics

Research suggests that understanding new images of mathematics is very challenging and can contribute to teacher resistance. An explicit exploration of personal views of mathematics may be necessary for pedagogical change. One possible way for exploring these images is through mathematical metaphors. As metaphors focus on similarities, they can be used to express already-held perceptions about the nature of mathematics. In addition to providing a way of talking about current views of mathematics, the analogous dimensions of metaphors can prompt new ways of thinking about these images. In this article, I consider the use of metaphors as a strategy for explicating elementary teachers’ views of mathematics. I claim that the investigation of metaphors of mathematics helped create a shared communicative space and enhanced the quality of the discussion with the teachers. In particular, our exploration of the metaphor mathematics is a language encouraged a consideration of the humanistic dimensions of mathematics and contributed to a varied re-imaging of mathematics.     

Development of shared vision: Lessons from a science education community collaborative

This is a qualitative case study of a collaboration among multiple stakeholders in science education who came together in order to create environmental field trips and the surrounding classroom curriculum. The collaboration involves 4 major facets of science education: formal education at the elementary and university levels, informal education, and educational research. The data were collected by means of observation, semi‐structured interviews, and written document review. This study examines how shared vision developed within the collaboration, the roles the participants played in its evolution, and how this process benefited both the collaboration and each individual collaborator. Several factors significantly affected the progress towards a shared vision and a successful collaboration including time, communication, understanding others' perspectives, dedication and ownership, as well as the collaborative environment. © 2007 Wiley Periodicals, Inc. J Res Sci Teach 44: 681–705, 2007     

Career-first: an approach to sustainable labour market integration

International Journal for Educational and Vocational Guidance - Active labour market policies aim at supporting people entering and, importantly, remaining in the labour market. Initiatives to this...     

The probabilistic character of relevance

Gebhardt's[1] probabilistic model of relevance is examined and found not to represent adequately some characteristics of the relevance judgement process. An alternative model is proposed, which identifies two different types of “error” or probabilistic variation between relevance judgements. The two types arise from, first, the definition of the boundaries of the relevance classes, and secondly the actual assessment of an individual document on the underlying scale (which is assumed to be a continuum). The problems of quantifying the model, and of assessing its implications for retrieval testing, are discussed.     

Neuropsychological intervention in dyslexia: two studies on British pupils

The theoretical context of this research is developmental neuropsychology--in particular, the educational implications for the classification of and intervention in specific developmental dyslexia (SDD). Controlled and validated research can help identify optimal teaching methods for groups and individuals. Within this framework, neuropsychological theory can be explored as a medium for improving intervention for pupils with SDD. Neuropsychological stimulation cannot change the macro aspects of the brain but can change its "finetuning" and its response to written text. Within the psycho-neurological approaches, Bakker (1979, 1990, 1998) developed both a diagnostic procedure and empirically investigated intervention procedures. The theory rests on the Balance Model of learning to read, in which differential hemisphere involvement is implicated in beginning and advanced reading. Intervention can take place via hemisphere-specific stimulation using visual or tactile stimulation or hemisphere-alluding stimulation using modified text. Two investigations are presented, one experimental and another clinical. The results support the validity of dyslexia subtyping and the effectiveness of the treatment methods.     

Prolog programming techniques

In this paper we introduce the concept of a Prolog programming technique. This concept is then distinguished both from that of an algorithm and that of a programming cliché. We give examples and show how a knowledge of them can be useful in both programming environments and in teaching programming skills. The extraction of the various techniques is outlined. Finally, we discuss the problem of representing techniques where we conclude that the most promising approach is the development of a suitable meta-language.     

The effects of differing type and magnitude of reward on the contrafreeloading phenomenon in rats

This investigation was made to determine the effects of the magnitude of reward on contrafreeloading, using food or water as reward. Two quantities were selected for each level of reward quality—a 20-mg-pellet food reward, a 45-mg-pellet food reward, a .01-cc water reward, and a .1-cc water reward. Seven days of training were followed by three test sessions. There was a significantly higher percent of contrafreeloding demonstrated with food as reward than with water and higher number of barpresses with small reward than with large. It was argued that a more appropriate measure should include reference to performance during training. In this approach, contrafreeloading with food and water were virtually the same.     

Inconsistent response patterns and the prediction of child maltreatment

Inconsistent response patterns have been used with other measures to screen for child maltreatment. To date the inconsistency (IC) scale, a validity scale on the Child Abuse Potential (CAP) Inventory, has not been used as a screening criterion for physical child abuse. The present study examined the responses of 89 physical child abusers and 108 comparison subjects to determine if the CAP Inventory IC scale has any utility in the screening for physical child abuse. While results indicated the CAP Inventory IC scale scores were significantly higher for the physical child abuse group, a series of discriminant analyses indicated that the IC scale did not account for any meaningful variance after variance related to child abuse factors was removed. Further, the results indicated that dependence on the IC scale alone for physical child abuse screening purposes could be expected to produce excessive false positive and false negative classifications.