Breaking the habit: engineering students’ understanding of mathematical creativity

ABSTRACT

In higher education, engineering students have to be prepared for their future jobs, with knowledge but also with several soft skills, among them creativity. In this paper, we present a study carried on with 128 engineering undergraduate students on their understanding of mathematical creativity. The students were in the first year of different engineering first degrees in a north-eastern Portuguese university and we analysed the content of their texts for the question ‘What do you understand by mathematical creativity?’. Data collection was done in the first semester of the academic years 2014/2015 and 2016/2017 in a Linear Algebra course. The results showed that ‘problem solving’ category had the majority of the references in 2014/2015, but not in the academic year 2016/2017 were ‘involving mathematics’ category had the majority. This exploratory study pointed out for ‘problem solving’ and ‘involving mathematics’ categories and gave us hints for teaching mathematics courses in engineering degrees.     

The Role of Domains in the Conceptualization of Talent

In this article we present research concerning important aspects of domain-specific giftedness. Specifically, we address the evidence regarding the relationship between specific abilities and achievement. Empirical evidence suggests that specific abilities have been used widely and validly for identification of exceptional talent in performance domains, and mathematical and spatial reasoning ability have demonstrated predictive validity for achievement in science, technology, engineering, and mathematics (STEM) domains. We note that domains of talent have unique trajectories and discuss four critical aspects of domain-specific giftedness. These include the developmental nature of giftedness (giftedness moves from potential to competency to expertise and possibly to eminence over time); the temporal nature of giftedness (that domains vary in their starting, peak, and ending points); the contextual aspect of giftedness (societal value of some domains over others, changing of domains and emergence of new domains, and the environmental influences in fostering domain-specific achievement); and the relative nature of giftedness (childhood giftedness is advancement relative to age peers, and adult giftedness is exceptional achievement relative to other domain experts). Finally, we present some implications of a domain perspective on giftedness for educational practice.     

The influence of friends and family vs The Simpsons: Scottish adolescents’ media choices

Increased emphasis on celebrity, and the growing cultural importance of the Internet, help drive continuing anxiety about the influence of the media on the young. Though recent empirical studies of celebrity and media influence on adolescents have produced mixed findings, there has been a tendency by researchers to test for celebrity and media influence on samples in a manner which precludes juxtaposing these influences with those produced by family, peer group, school, or within other ‘local’ contexts. The media themselves continue to raise alarm about the impact of the Internet. An exploratory investigation was made of Scottish adolescents’ media choices, using a widespread questionnaire‐based survey of 427 secondary year‐two pupils (13‐ to 14‐year‐olds) in 2002. This was a ‘scoping’ study which will lead to further qualitative research, but it did produce evidence that parental and school influences remain strong. The influence of media personalities is visible in the responses but is comparatively weak. There is no evidence in the choices reported by the informants, in any of the media considered, of the salience of violence or sexuality. Much more common is interest in humour, in human relationships and personal drama, in sport and in science fantasy. The study notes in passing evidence of local cultural strengths and also considerable diversity, along with American and other global influences.     

The early school leaver count as a policy instrument in EU governance: the un/intended effects of an indicator

ABSTRACT

The EU has embraced the use of indicators as policy instruments for achieving common aims. One of the indicators, ‘early school leaver’ (ESL), depicts the proportion of young people leaving education and training prematurely. Initially defined as an education policy indicator, it has been transformed into a performance indicator measuring the targets of the current Europe 2020 strategy. In this article, we examine how the indicator works as a policy instrument at different levels of governance applying the conceptual tools provided by the policy instrumentation approach to unpack the components, pinpoint the political effects, and reveal the power relations they produce. Thus challenging the taken-for-grantedness of comparison as a way of knowing we have intended to shift the focus of discussion concerning the role of large-scale comparisons in education towards more productive directions: moving from problematisation and deconstruction of comparison to engaging with processes of measurement.     

Narratives of learning communities in environmental education

Abstract

This article introduces the core concepts that emerged from five environmental education action research studies conducted by a group called Learning Communities in Environmental Education, Science and Mathematics (CEAMECIM) from the Universidade Federal do Rio Grande (FURG) in the south of Brazil. The studies focus on teacher education processes in learning communities involving teachers, researchers and environmental educators, and the critical writing and reading texts of classroom recordings to problematise participants’ teaching practices. CEAMECIM used action research cycles to examine narratives of educational action, narratives from teachers concerning their development as environmental educators, and narratives of their development of a sense of belonging, with a particular focus on critiquing social models that are based on hierarchies and individuality. From this analysis, we propose a new perspective on being and learning how to become a learning community, crystallised by the belief that ‘we are more when we are together’.     

Helping secondary schools to be more inclusive of Year 7 pupils with SEN

The authors, all District Senior Educational Psychologists (DSEPs), were asked by a Principal Education Officer to design and implement a funded project to support inclusion in the county. This action research project aimed to help secondary schools be more inclusive of their Year 7 pupils with special educational needs. Inclusion issues were identified using pupils’ responses to questionnaires based on the Index for Inclusion materials. Schools then formulated interventions to suit their particular needs. The impact of the interventions was evaluated one year later. Positive results are reported in terms of responses from the pupils with SEN.     

Language development and literacy skills in late-talking toddlers with and without familial risk for dyslexia

The relationship between late-talkers' language development and reading and spelling outcomes was examined in children with and without familial risk for dyslexia. The late-talking subgroups were defined using parent- and test-based assessments of receptive and expressive vocabulary and grammar at 2 and 2.5 years as intake criteria. The language skills of late talkers and the remainders of these two groups were assessed at 3.5, 5, and 5.5 years. Reading/spelling outcomes were compared at the end of the second grade. Late-talking toddlers of the at-risk group who had both poor receptive and expressive skills performed less well than all other groups on language measurements at 5.5 years. In contrast, the control group's late talkers with an expressive delay reached the language level of their age-mates already by 3.5 years, and maintained their age-appropriate position two years later. The most significant differences in the reading skills were found between the at-risk children with receptive and expressive delay and the remainder of the controls. Age-appropriate early language skills did not, however, ensure norm-level fluent reading in the at-risk group. The remainder of the at-risk group performed at a significantly lower level than did the remainder of the controls, both on the oral reading and spelling tasks.     

Event-related potentials and consonant differentiation in newborns with familial risk for dyslexia

We measured event-related potentials (ERPs) to synthetic consonant-vowel syllables (/ba/, /da/, /ga/) from 26 newborns with familial risk for dyslexia and 23 control infants participating in the Jyv?skyl? Longitudinal Study of Dyslexia. The syllables were presented with equal probability and with interstimulus intervals ranging from 3,010 to 7,285 ms. Analyses of averaged ERPs from the latencies identified on the basis of principal component analysis (PCA) revealed significant group differences in stop-consonant processing in several latency ranges. At the latencies of 50-170 ms and 540-630 ms, the responses to /ga/ were larger and more positive than those to /ba/ and /da/ in the right hemisphere in the at-risk group. Between 740 and 940 ms, the responses to /ba/ and /da/ differed between anterior and posterior electrode sites in the control group. These results indicate that the cortical electric activation evoked by speech elements differs between children with and without risk for dyslexia even immediately after birth. Group-related effects at early and late latency ranges of ERPs suggest differences both in the early sound processing based on activation of afferent elements and in later phases of syllable encoding.     

Disciplinary knowledge of K-3 teachers and their knowledge calibration in the domain of early literacy

Recently, investigators have begun to pay increasing attention to the role of teachers’ domain-specific knowledge in the area of reading, and its implications for both classroom practice and student learning. The aims of the present study were to assess kindergarten to third grade teachers’ actual and perceived reading related subject matter knowledge, and to investigate the extent to which teachers calibrate their reading related subject matter knowledge by examining relationships between actual and perceived knowledge. Results indicated that while teachers demonstrated limited knowledge of children’s literature, phoneme awareness, and phonics, the majority of these same teachers evaluated their knowledge levels quite positively. Teachers demonstrated some ability to calibrate their own knowledge levels in the area of children’s literature, yet they were poorly calibrated in the domains of phoneme awareness and phonics. These findings suggest that teachers tend to overestimate their reading related subject matter knowledge, and are often unaware of what they know and do not know. Implications for the design of teacher education at both the preservice and inservice levels are discussed. Note: This research was funded through the National Science Foundation IERI 00-74 Initiative to Anne E. Cunningham, University of California, Berkeley. acunning@uclink.berkeley.edu     

Classroom environments: an experiential analysis of the pupil–teacher visual interaction in Uruguay

We argue that the traditional physical environment is commonly taken for granted and that little consideration has been given to how this affects pupil–teacher interactions. This article presents evidence that certain physical environments do not allow equal visual interaction and, as a result, we derive a set of basic guiding principles that could contribute to the improvement of classroom design. Discussions about research on the design of classroom spaces and the methods to evaluate them articulate the rationale for this study. We seek to accomplish this by focusing on two fundamental variables of the face-to-face communication process: visual and distance. They are discussed in the context of four classroom case studies. The method is based on a hybrid approach composed of first-hand video-photographic records, isovist analysis and proxemic information regarding distances. The conclusions suggest that the proportion and spatial configuration of a classroom have a substantial impact on the number of pupils receiving high-quality visual interaction with the teacher. Finally, the importance of integrating experiential analysis in the architectural design process to ensure the quality and equality of the interaction among the protagonists of the teaching and learning process is highlighted.