Chebyshev polynomial solutions of systems of higher-order linear Fredholm-Volterra integro-differential equations

A Chebyshev collocation method, an expansion method, has been proposed in order to solve the systems of higher-order linear integro-differential equations. This method transforms the IDE system and the given conditions into the matrix equations via Chebyshev collocation points. By merging these results, a new system which corresponds to a system of linear algebraic equations is obtained. The solution of this system yields the Chebyshev coefficients of the solution function. Some numerical results are also given to illustrate the efficiency of the method. Moreover, this method is valid for the systems of differential and integral equations.     

Moving beyond the predictable failure of Ed-Tech initiatives

ABSTRACT

The development of Information and Communication Technology has created waves of excitement about its power to fix educational problems and improve learning results, prompting a succession of policy efforts to integrate digital technology into education. Educators, schools and corporations are increasingly driving these initiatives. This article makes the argument that a narrow vision of digital technology, which both ignores the complexity of education and wastes valuable public resources, is becoming an obstacle to significant improvement and transformation in education. Utilising our research and experience in the field of educational technology, this paper problematises the common elision of ‘technology’ and ‘digital technology’. From this basis, we then critically reflect on various common approaches to introducing digital technology in education under the guise of promoting equality and digital inclusion. These include national government-led programmes, more recent trends for local school-led initiatives, and the role of non-formal education initiatives led by corporations/foundations. Amidst the varying surface-level ‘failure’ and/or ‘success’ of these approaches, we point to limited underpinning ‘information and knowledge society’ logics in framing the application of digital technology to education. As such we conclude by considering the educational challenges for future Ed-Tech initiatives.     

Going to action? A literature review on educational proposals in formal Environmental Education

The current state of the planet’s environmental deterioration calls for formal educational contexts to implement effective environmental proposals which nurture action competence. The aim of this paper is to examine the educational proposals in formal contexts that have been published in the two research journals of greatest impact on Environmental Education during the period 2008–2013, and to analyse how they contribute to the development of action competence. Special attention is paid to research (i) based on real participation by students; (ii) promotes reflection on the complexity of environmental issues; (iii) facilitates critical thinking; (iv) encourages autonomous and responsible decision-making and (v) involves communities. Our results show that these approaches can help improve the development of action-focused environmental education and bring to light a series of challenges for future research.     

Psychologic implications of the maltreated-child syndrome

A retrospective investigation of 97 psychologically maltreated children showed a clear relationship between clinical symptoms and the intensity of the abuse. Parental neglect resulted in impairment of intellectual and locomotor development and emotional and behavioral disorders. Neurotic manifestations of regressive type appeared in nearly half the preadolescents who suffered severe psychological abuse. Children under 6 years of age presented functional symptoms, including regression in toilet training and sleep disorders secondary to inadequate mothering.     

Useful interactive teaching tool for learning: clickers in higher education†

Many university lecturers are encouraged to implement innovative teaching tools and methodologies such as clickers in order to create an interactive learning environment and improve student learning, but its performance must be evaluated. The aim of this paper is to test empirically the impact of the use of clickers on students' learning processes. The teaching experience applied to the subject of Financial Accounting is specifically described. The total sample size is 77 students from a Business Administration and Economics Degree, taught in English and in Spanish. The analysis, using multivariate techniques, of the questionnaire responses, students' grades and a reflexive experience of the lecturer conclude that learning with clickers is effective. There is a positive relationship between grades and intrinsic motivation through clickers. Consequently, the students' marks are related to its intrinsic motivation, feedback to understanding, students' discussion and its negative aspects but not gender nor age.     

Are teachers ready for CLIL? Evidence from a European study

This article presents the outcomes of a European study on the main training needs which pre- and in-service teachers, teacher trainers, and coordinators consider they have in order to adapt to a bilingual education model. The macro-study has designed, validated and administered four sets of questionnaires to 706 informants across the whole of Europe, which have allowed a detailed diagnosis of language teachers’ training needs in terms of linguistic and intercultural competence, theoretical and methodological aspects based on the new options associated to Content and Language Integrated Learning (CLIL), teaching materials and resources, and ongoing professional development. After framing the topic against the backdrop of prior investigations, the article expounds on the research design of the study and outlines its main findings in relation to the afore-mentioned fields of interest. A detailed diagnosis of where we currently stand in this process of preparation for CLIL models in Europe is provided and within- and across-cohort comparison is carried out in terms of a series of intervening variables. The ultimate aim is to base decisions regarding language degrees and teacher training courses on empirically grounded guidelines in order to guarantee a success-prone implementation of CLIL in our continent, country and region.     

Latent Class Modeling with A Time-To-Event Distal Outcome: A Comparison of One,Two and Three-Step Approaches

Latent class methods can be used to identify unobserved subgroups which differ in their observed data. Researchers are often interested in outcomes for the identified subgroups and in some disciplines time-to-event outcome measures are common, e.g., overall survival in oncology. In this study Monte Carlo simulation is used to evaluate the empirical properties of latent class effect estimates on a time-to-event distal outcome using one, two and three-step approaches. Both standard and inclusive bias-corrected three-step approaches are considered. One-step latent class effect estimates are shown to be superior to the evaluated alternatives. Both the two-step approach and a standard three-step approach, where subjects are partially assigned to latent classes, produced unbiased estimates with nominal confidence interval coverage when latent classes were well separated, but not otherwise.

     

(Re)braiding to tell: using trenzas as a metaphorical–analytical tool in qualitative research

Metaphors can be used in qualitative research to illuminate the meanings of participant experiences and examine phenomena from insightful and creative perspectives. The purpose of this paper is to illustrate how I utilized trenzas (braids) as a metaphorical and analytical tool for understanding the experiences and perspectives of Latina teachers around being a well-educated person. Accordingly, this paper is organized into three strands. First, I discuss trenzas as a metaphorical concept in raced–gendered epistemology, highlighting the work of Chicana/Latina feminist scholars in law and education. Second, I describe how metaphorical thinking informed the methodological design. Third, I explain how I used trenzas to make sense of data and build theory. The discussion weaves the three strands together to emphasize the functional and generative nature of trenzas as a metaphorical–analytical tool for gaining critical and nuanced understandings of how personal, professional, and community identities shape participant’ experiences and perspectives.