Knowledge tracing aims to trace students’ evolving knowledge states by predicting their future performance on concept-related exercises. Recently, some graph-based models have been developed to incorporate the relationships between exercises to improve knowledge tracing, but only a single type of relationship information is generally explored. In this article, we present a novel Dual Graph Ensemble learning method for Knowledge Tracing (DGEKT), which establishes a dual graph structure of students’ learning interactions to capture the heterogeneous exercise–concept associations and interaction transitions by hypergraph modeling and directed graph modeling, respectively. To combine the dual graph models, we introduce the technique of online knowledge distillation. This choice arises from the observation that, while the knowledge tracing model is designed to predict students’ responses to the exercises related to different concepts, it is optimized merely with respect to the prediction accuracy on a single exercise at each step. With online knowledge distillation, the dual graph models are adaptively combined to form a stronger ensemble teacher model, which provides its predictions on all exercises as extra supervision for better modeling ability. In the experiments, we compare DGEKT against eight knowledge tracing baselines on three benchmark datasets, and the results demonstrate that DGEKT achieves state-of-the-art performance.

Purpose: This study aims to explore the impact of school leadership, particularly that of the principal (head teacher), on school improvement in England.Design/methodology/approach: The study adopts a mixed‐methods (MM), longitudinal design to investigate the leadership of a sample of academically effective and improving schools identified from analyses of national assessment and examination data sets. In addition, questionnaire surveys of principals and key staff and 20 qualitative school case studies were conducted. The paper reports results from the questionnaire analyses and changes in measures of school performance over three school years using data from 378 primary and 362 secondary schools. Confirmatory factor analysis and structural equation models (SEM) test direct and indirect effects of school leadership and school and classroom processes in predicting changes in schools' academic results.Findings: The analyses identified robust underlying dimensions of leadership and school and classroom processes and highlighted strategies and actions that school principals and staff had adopted to raise pupil attainment. The SEM models reveal both direct and indirect effects of leadership on a range of school and classroom processes that in turn predicted changes (improvements) in schools' academic performance.Originality/value: This original empirical study presents new results on the leadership of a large sample of effective and improving primary and secondary schools in England. A dynamic model is presented predicting changes in schools' academic performance over three years and identifying direct effects of leadership on school and classroom processes and indirect effects on improvements in schools' academic results.

This article presents the findings of a study into the leadership practices of Hong Kong principals working within an environment of increasing accountability. The study set out to investigate the relationships between sets of principal leadership practices and the levels of alignment, coherence and structure and support for students in the school. Results indicated that principals tend to emphasise the professional development of teachers and key staff as a way to strengthen alignment within the school and between school and government policies. However, findings also suggest that working in an accountability environment can have a negative impact on the support provided for students.

Purpose: – Over the past decade, studies of school leadership effects have increasingly aimed at identifying and validating the paths through which principal leadership impacts key teaching and learning processes in schools. A recent meta-analysis by Robinson and colleagues identified principal practices that shape teacher professional development experiences in schools as the highest impact path used by instructional leaders. The purpose of this paper is to examine relationships between principal leadership, dimensions of school capacity, and teacher professional learning in 32 Hong Kong primary schools.Design/methodology/approach: – The study employed a cross-sectional research design and quantitative methods to analyze teacher perceptions of principal leadership and key school conditions. The research employed hierarchical linear regression analysis to explore survey data collected from a sample of 970 teachers. The surveys covered a range of principal leadership and school capacity dimensions, as well as a measure of teacher professional learning.Findings: – Results indicated that multiple dimensions of principal leadership made significant contributions to both school capacity and teacher professional learning. The presence of cooperation, trust, communication, support for students, and alignment, coherence, and structure in schools also affected teacher professional learning.Research limitations/implications: – These findings contribute to the global discourse on leadership for learning. The study addresses the need established by multiple scholars (e.g. Leithwood, Hallinger, Heck, Robinson, Witziers) for research that further illuminates “paths” and “intermediate targets” through which leadership impacts teaching and learning. The findings elaborate on the means by which leadership can enhance school capacities that directly impact teacher classroom practice and student learning. Consistent with other scholarly research (e.g. Bryk and Schneider, Louis and colleagues, Sahphier and King) the findings also point toward the importance of establishing selected workplace conditions (e.g. trust, cooperation, communication) as a foundation for fostering teacher professional learning.Practical implications: – The study reinforces the finding from other studies that it is productive for principals to foster an environment aimed at enhancing teacher professionalism. The study also highlights the potentially dysfunctional consequences that can arise from competing system-level initiatives aimed at increasing monitoring and teacher accountability and fostering teacher professionalism.Originality/value: – The study contributes to a small but growing body of leadership effects research conducted in non-Western societies. As such the study offers insights with relevance for understanding leadership processes in other Asian and non-Western cultures.

Purpose: – The purpose of this paper is to develop a framework for reconceptualising research on school autonomy to redress the limitations of traditional research, strengthen the conceptual links between school autonomy and learning outcomes and offer a range of new strategies for studying the interplay of school autonomy, leadership and learning.Design/methodology/approach: – Based on a review of international studies and the findings of the Programme for International Student Assessment (PISA) and the Teaching and Learning International Study (TALIS), the conceptual limitations of and gaps in traditional research on school autonomy in relation to leadership and learning are discussed, and their implications for the development of a new framework are outlined.Findings: – The conceptual limitations of traditional research on school autonomy are as follows: internal school autonomy is insufficiently differentiated; too little attention is paid to cultural autonomy and internal structural autonomy at individual and group levels; autonomy is measured only as perceived by principals, with no attention to the perspectives of other key stakeholders; and conceptual links between school autonomy and learning outcomes are missing, leading to inconsistent findings on the effects of school autonomy on student learning. To redress these limitations, a new framework for research is developed. School autonomy is reconceptualised as a combination of functional autonomy, structural autonomy and cultural autonomy. Leadership is also reconceptualised by categorising three types of leadership activity: leadership for functional initiatives, leadership for structural initiatives and leadership for cultural initiatives. This categorisation may help to strengthen conceptions of the relevance of leadership to autonomy and performance in future research.Research limitations/implications: – A typology of research strategies is developed to broaden the possibilities for implementing the reconceptualisation framework. A single-component strategy, a two-component strategy, an interaction strategy and a holistic case-study strategy are presented. Depending on the research purposes and the available resources, one or a combination of these strategies can be used to conceptualise the study of school autonomy, leadership and performance.Originality/value: – The new ideas and perspectives associated with the reconceptualisation framework will contribute to future research in this area on an international scale. Future PISA, TALIS and similar studies will also benefit from this reconceptualisation.