Hilbert series of modules of GK-dimension two over elliptic algebras

We characterize the Hilbert functions and minimal resolutions of (critical) Cohen-Macaulay graded right modules of Gelfand-Kirillov dimension two over generic quadratic and cubic three dimensional Artin-Schelter regular algebras.Comment: 25 page

Strategies for promoting autonomous reading motivation: a multiple case study research in primary education

It is important to reveal strategies which foster students’ reading motivation in order to break through the declining trend in reading motivation throughout children’s educational careers. Consequently, the present study advances an underexposed field in reading motivation research by studying and identifying the strategies of teachers excellent in promoting fifth-grade students’ volitional or autonomous reading motivation through multiple case study analysis. Data on these excellent teachers were gathered from multiple sources (interviews with teachers, SEN coordinators, and school leaders; classroom observations; teacher and student questionnaires) and analysed. The results point to the teaching dimensions of autonomy support, structure, and involvement – as indicated by self-determination theory – as well as to reading aloud as critical strategies to promote students’ autonomous reading motivation in the classroom. A school culture supporting students’ and teachers’ interest in reading is also an essential part of reading promotion. The theoretical and practical significance of the study is discussed

The relation between elementary students' recreational and academic reading motivation, reading frequency, engagement, and comprehension : a self-determination theory perspective

Research indicates the need to further examine the dimensions of reading motivation. A clear theoretical basis is necessary for conceptualizing reading motivation and considering contextual differences therein. The present study develops and validates the SRQ-Reading Motivation, a questionnaire measuring recreational and academic reading motivation based on self-determination theory. The study clarifies the relation among reading motivation, reading self-concept, reading behavior (i.e., engagement and frequency), and reading performance (i.e., comprehension). Participants included 1,260 Flemish fifth-grade students and their 67 teachers. Exploratory and confirmatory factor analyses indicated that both recreational and academic reading motivation comprise 2 factors: autonomous and controlled motivation. This factor structure was found to be invariant across boys and girls. Comparisons of the SRQ-Reading Motivation with subscales of the Motivation for Reading Questionnaire provide evidence for the construct validity of the instrument. Structural equation modeling confirmed that recreational autonomous reading motivation is associated with more positive reading behavior and better performance. In the academic setting, only the equivalent relationship between autonomous reading motivation and leisure-time reading frequency could be corroborated. In this respect, the results confirm the independent contribution of recreational autonomous reading motivation and reading self-concept to reading behavior and performance. No significant indirect relationship between reading motivation and reading comprehension through reading frequency or reading engagement was found. The theoretical and practical significance of the present study is discussed

Ideal classes of three-dimensional Sklyanin algebras

AbstractIn this paper we classify graded reflexive ideals, up to isomorphism and shift, in certain three-dimensional Artin–Schelter regular algebras. This classification is similar to the classification of right ideals in the first Weyl algebra, a problem that was completely settled recently. The situation we consider is substantially more complicated however

Strategies for promoting autonomous reading motivation: A multiple case study research in primary education

It is important to reveal strategies which foster students’ reading motivation in order to break through the declining trend in reading motivation throughout children’s educational careers. Consequently, the present study advances an underexposed field in reading motivation research by studying and identifying the strategies of teachers excellent in promoting fifth-grade students’ volitional or autonomous reading motivation through multiple case study analysis. Data on these excellent teachers were gathered from multiple sources (interviews with teachers, SEN coordinators, and school leaders; classroom observations; teacher and student questionnaires) and analysed. The results point to the teaching dimensions of autonomy support, structure, and involvement – as indicated by self-determination theory – as well as to reading aloud as critical strategies to promote students’ autonomous reading motivation in the classroom. A school culture supporting students’ and teachers’ interest in reading is also an essential part of reading promotion. The theoretical and practical significance of the study is discussed

Estimation of indirect effects in the presence of unmeasured confounding for the mediator-outcome relationship in a multilevel 2-1-1 mediation model

To assess the direct and indirect effect of an intervention, multilevel 2-1-1 studies with intervention randomized at the upper (class) level and mediator and outcome measured at the lower (student) level are frequently used in educational research. In such studies, the mediation process may flow through the student-level mediator (the within indirect effect) or a class-aggregated mediator (the contextual indirect effect). In this article, we cast mediation analysis within the counterfactual framework and clarify the assumptions that are needed to identify the within and contextual indirect effect. We show that unlike the contextual indirect effect, the within indirect effect can be unbiasedly estimated in linear models in the presence of unmeasured confounders of the mediator-outcome relationship at the upper level that exert additive effects on mediator and outcome. When unmeasured confounding occurs at the individual level, both indirect effects are no longer identified. We propose sensitivity analyses to assess the robustness of the within and contextual indirect effect under lower and upper-level confounding, respectively