Modeling Nonlinear Structural Equation Models: A Comparison of the Two-Stage Generalized Additive Models and the Finite Mixture Structural Equation Model

Researchers have devoted some time and effort to developing methods for fitting nonlinear relationships among latent variables. In particular, most of these have focused on correctly modeling interactions between 2 exogenous latent variables, and quadratic relationships between exogenous and endogenous variables. All of these approaches require prespecification of the nonlinearity by the researcher, and are limited to fairly simple nonlinear relationships. Other work has been done using mixture structural equation models (SEMM) in an attempt to fit more complex nonlinear relationships. This study expands on this earlier work by introducing the 2-stage generalized additive model (2SGAM) approach for fitting regression splines in the context of structural equation models. The model is first described and then investigated through the use of simulated data, in which it was compared with the SEMM approach. Results demonstrate that the 2SGAM is an effective tool for fitting a variety of nonlinear relationships between latent variables, and can be easily and accurately extended to models including multiple latent variables. Implications of these results are discussed.     

The relationship between behavioural integrity,competence, goodwill,trustworthiness, and motivating language of a principal

Utilising the oral language of a principal leading an inner-city at-risk elementary school in a large urban school district in the southwestern USA, the researchers tested behavioural integrity and the dimensions of source credibility (competence, goodwill, and trustworthiness) as antecedents to Motivating Language Theory and the ML Model. Teacher perception data at the Title I elementary school was used for this quantitative study. Over 95% of the teachers responded to a survey each year for a three-year period. Each year, there were statistically significant correlations between each of the antecedents and motivating language. The antecedents accounted for 66–75% of the total variance for motivating language depending on the year based on regression analysis. The results of this study extend the field of Motivating Language Theory and the ML Model, and further explain how the work of principals is accomplished.     

How newly qualified primary teachers develop: A case study in rural Eritrea

This paper reports on the professional development of a small group of newly qualified teachers (NQTs) who began their careers in four rural schools in Eritrea. These teachers were monitored over a period of four years from 2001 to 2004. Their development as primary practitioners was recorded by videoing and observing their classes and by interviews and informal discussions held over the period. The ways in which they developed and the factors involved in this development are analysed and discussed.It is hoped that this research offers an insight into the challenges faced by newly qualified teachers in small rural communities, often very much dependant on their own resources and those of the local community. This indicates ways in which the current programme and on-going in-service provision may be targeted in future. An important point is made that in spite of the unusual circumstances of education in Eritrea this research provides insights that are relevant to other sociocultural contexts.     

My tongue on your theory: the bittersweet reminder of every-thing unnameable

ABSTRACT

Across research in UK Higher Education, the most immanent demands for quality have taken the shape of the Research Assessment Exercise and the Research Excellence Framework (REF). The theorist, Martin, is cautious of the relationship academics have engendered with the process of the REF, asking are we actually creating a Frankenstein monster, becoming complicit in generating quality thresholds and standards that will become our own tormentors? I am taken by the idea of the monster when pursuing alternative discourses of childhood in educational research – fear of its potential to torment seduces me with the promise of dis-order, de-formity, chaos and mutation. The aim of this paper is to resist a fixed, knowable form of ‘quality’ (in) research, moving between the idea of ‘monster’ and the formlessness of ‘monstrosity’ to oppose the epistemological, ontological and ethical paradigms of reason.     

Working Memory and Children’s Mathematical Skills: Implications for mathematical development and mathematics curricula

This study examined the contributions of the different components of the working memory (WM) model to a range of mathematical skills in children, using measures of WM function that did not involve numerical stimuli. A sample of 148 children (78 Year 3, mean age 8 years and 1 month, and 70 Year 5 pupils, mean age 9 years and 10 months) completed WM measures and age‐appropriate mathematics tests designed to assess four mathematical skills defined by the National Curriculum for England. Visuo‐spatial sketchpad and central executive, but not phonological loop, scores predicted unique variance in children’s curriculum‐based mathematical attainment but the relative contributions of each component did not vary much across the different skills. Subsequently, the mathematics data were re‐analysed using cluster analysis and new performance‐related mathematics factors were derived. All three components of WM predicted unique variance in these performance‐related skills, but revealed a markedly distinct pattern of associations across the two age groups. In particular, the data indicated a stronger role for the visuo‐spatial sketchpad in the younger children’s mathematics performance. We discuss our findings in terms of the importance of WM in the development of early mathematical ability.