Student Connections between Algebraic and Graphical Polynomial Representations in the Context of a Polynomial Relation

When establishing connections among representations of associated mathematical concepts, students encounter different difficulties and successes along the way. The purpose of this study was to uncover information about and gain greater insight into how student processes connections. Pre-calculus students were observed and interviewed while performing a task that required connections among graphical and algebraic representations of a polynomial relation. Their reasoning and processes on the task were examined. This revealed more detailed information about the nature of their connections and misconceptions. The study reveals different types of student connections among graphical and algebraic representations.     

Secondary School Students’ Errors in the Translation of Algebraic Statements

In this article, we present the results of a research study that explores secondary students’ capacity to perform translations of algebraic statements between the verbal and symbolic representation systems through the lens of errors. We classify and compare the errors made by 2 groups of students: 1 at the beginning of their studies in school algebra and another 1 completing their studies on algebra in compulsory education. This comparison allows us to detect errors which require specific attention in instruction due to its persistence and to identify errors that disappear as students advance in their study of algebra. The results and conclusions have a pedagogic value to inform instruction and also lead to backed conjectures and research questions to push forward research on student’s translation capacity and students’ knowledge of algebraic symbolism.     

Circadian-temporal context and latent inhibition of conditioned taste aversion: Effect of restriction in the intake of the conditioned taste stimulus

Latent inhibition of conditioned taste aversion (CTA) is sensitive to changes in the temporal context. A change in the time of day of conditioning with respect to the time of day of the preexposure can disrupt the latent inhibition. This contextual change in the time of day may reveal a temporal specificity of latent inhibition. The optimum procedure to induce this temporal specificity is not well established. For example, it has been shown that a long period of habituation to temporal contexts is one factor that can determine the effect. However, the experimental conditions on the conditioning day that facilitate this phenomenon are unknown. The aim of this study is to elucidate whether a restriction in the intake of the conditioned taste stimulus affects the temporal specificity of latent inhibition. Two main groups of Wistar rats were tested in a latent inhibition of CTA paradigm, in which the temporal specificity of this phenomenon was analyzed by a change in the time of day of conditioning. The intake of the taste stimulus was restricted in the conditioning day in one of the groups, but this restriction was not applied in the other group. The results indicated temporal specificity of latent inhibition only in the group without restriction, but not in the group with limitation in the intake of the taste stimulus during conditioning. These findings can help to elucidate the characteristics of the procedure to induce temporal specificity of latent inhibition.     

Perspectives on Conceptualizing Developmentally Appropriate Sexuality Education

Despite recognition of the importance of a developmentally appropriate approach to sexuality education, there is little direct guidance on how to do this. This study employed in-depth interviews with experienced sexuality educators and developers of sexuality education materials to identify how this concept is understood and applied in the field. Developmentally appropriate sexuality education was conceptualized consistently across interviews to include (a) addressing developmentally relevant topics, (b) adapting content to cognitive development, (c) accommodating developmental diversity, and (d) facilitating the internalization of sexual health messages. However, these views fell short of incorporating the breadth of knowledge offered by adolescent development research.     

A mathematical experience involving defining processes: in-action definitions and zero-definitions

In this paper, a focus is made on defining processes at stake in an unfamiliar situation coming from discrete mathematics which brings surprising mathematical results. The epistemological framework of Lakatos is questioned and used for the design and the analysis of the situation. The cognitive background of Vergnaud’s approach enriches the study of freshmen’s processes at university. The mathematical analysis and the results specifically underscore the in-action definitions and the zero-definitions and highlight the need of similar mathematical experiences in education, particularly focused on defining processes and the exploration of a research problem.     

Reconsidering the Urban in Urban Education: Interdisciplinary Conversations

The field of education has become comfortable in its use of the construct urban to describe particular schools in particular metropolitan places. This article argues that the construct has come to signify not just place but also to denote particular meanings of ‘urban’ populations. It analyzes how literary and social-scientific practices converged to anchor this construct paradigmatically in the registers of educational practitioners and researchers. Drawing from cultural geography, the article then demonstrates why the framework of the urban, and its other implicit pole the suburban, is no longer satisfactory for conceptualizing empirical questions about metropolitan schools. Lastly, the author identifies and discusses exemplars within the field of educational research that help us to remap our theoretical and empirical work.     

How do teachers in Ireland and England conceptualise dyslexia?

This paper presents the findings of a comparative study using data from questionnaire surveys carried out in England (n=57) and Ireland (n=72). The researchers examine how teachers and teaching assistants who are currently teaching pupils with dyslexia in primary schools describe dyslexia and what may have influenced their conceptualisation. The paper examines teachers' responses both in terms of how they view their pupils presenting difficulties in the classroom, and how far they link these to underlying differences in cognitive processing. The researchers suggest ways in which this might influence their teaching in terms of methodology. Findings have been mapped to the Morton and Frith causal modelling framework. The implications of these findings for the training and support of teachers are discussed in the light of recent national initiatives to improve the teaching of dyslexic pupils in both countries.     

Are implicit learning abilities sensitive to the type of material to be processed? Study on typical readers and children with dyslexia

This study aims to examine the impact of the linguistic nature of the material to be tracked in a serial reaction time task on the performance of typical readers and children with dyslexia. In doing so, we wished to detect eventual differences in the mobilisation of implicit learning skills between typical readers according to their experience with the written word (8‐ vs 10‐year‐olds) on the one hand, and between typical readers and children with dyslexia, on the other hand. Experiment 1 confirms the efficiency of implicit sequence learning in typical readers regardless of the nature of the item being tracked. Experiment 2 indicates that the sequence learning of children with dyslexia is sensitive to the nature of the target. Children with dyslexia show differences in the evolution of response times according to the nature of the item to be tracked.     

Virtualization and new geographies of knowledge in higher education: possibilities for the transformation of knowledge,pedagogic relations and learner identities

This article considers some of the ways in which the transformative power of Web 2.0 digital technology is reconfiguring learning, knowledge and academic identities in the contemporary university. Through a focus on five specific examples, we consider the impact of virtualization processes on spatiality, materiality and embodiment, and pedagogic relations. We argue for the benefits of taking a microsociological approach in order to reflect on the potential of virtualization to bring about new geographies of knowledge production and as a means to identify the ways in which potential transformations are uneven, problematic and contested.     

Guidance for older workers in Denmark and Spain

Guidance has a role to play in helping older workers to lead meaningful and fruitful lives; inside, outside, on the edge of the labour market, or in voluntary work with examples from two very different European countries: Denmark and Spain. This paper aims to draw attention to older workers guidance from an economic policy approach. It will be demonstrated that there is a need for more policy making for older workers’ guidance in both countries.