Systematic reviews and meta-analyses are the cornerstones of evidence-based medicine and inform treatment, diagnosis, or prevention of individual patients as well as policy decisions in health care. Statistical methods for the meta-analysis of intervention studies are well established today. Meta-analysis for diagnostic accuracy trials has also…

Statistical mediation analysis allows researchers to identify the most important mediating constructs in the causal process studied. Identifying specific mediators is especially relevant when the hypothesized mediating construct consists of multiple related facets. The general definition of the construct and its facets might relate differently to…

Cognitive diagnosis models (CDMs) are an increasingly popular method to assess mastery or nonmastery of a set of fine-grained abilities in educational or psychological assessments. Several inference techniques are available to quantify the uncertainty of model parameter estimates, to compare different versions of CDMs, or to check model…

This article presents findings and a model from a constructivist grounded theory study about purpose development for college students with disabilities. The 59 participants, drawn from 4 different higher education institutions, self-identified as having 1 or more of a variety of disabilities. Students engaged in imagination, exploration, and…

Modeling is a major topic of interest in mathematics education. However, the field's definition of models is diverse. Less is known about what teachers identify as mathematical models, even though it is teachers who ultimately enact modeling activities in the classroom. In this study, we asked nine middle school teachers with a variety of academic…

Piecewise GMM with unknown turning points is a new procedure to investigate heterogeneous subpopulations' growth trajectories consisting of distinct developmental phases. Unlike the conventional PGMM, which relies on theory or experiment design to specify turning points a priori, the new procedure allows for an optimal location of turning points…

Many mathematical concepts may have prototypical images associated with them. While prototypes can be beneficial for efficient thinking or reasoning, they may also have self-attributes that may impact reasoning about the concept. It is essential that mathematics educators understand these prototype images in order to fully recognize their benefits…

In this paper, we reconstruct matrices from their minors, and give explicit formulas for the reconstruction of matrices of orders 2 × 3, 2 × 4, 2 × n, 3 × 6 and m × n. We also formulate the Plücker relations, which are the conditions of the existence of a matrix related to its given minors.

Drawing upon phenomenological and arts-based approaches, the author explores everyday encounters with landscapes that call attention to the potential of place as sites for evoking mindfulness and transformative learning experiences. Theoretical perspectives within and across art education, aesthetics, contemplative education, holistic education,…

Collapsing categories is a commonly used data reduction technique; however, to date there do not exist principled methods to determine whether collapsing categories is appropriate in practice. With ordinal responses under the partial credit model, when collapsing categories, the true model for the collapsed data is no longer a partial credit…

The aim of this study was to create a model which describes the main elements for improving schools with digital technology and helps to reveal differences between schools and identify their best practices and challenges. The innovative digital school model (IDI school) offers a framework for research but also a research-based model for schools to…

Educational leadership is facing a need for change; this change requires innovative approaches such as Universal Design for Learning (UDL) to transform teacher practice. Principled modelling by these leaders is integral to sustained change. In addition, to initiate this change, traditional practices such as group work can be used with a UDL focus…

Technology Education was introduced and rolled out in South African schools in 1998. It has been twenty years since its implementation, yet it is being confused with other traditional subjects. Therefore, even though it is expected that Technology Education should be known for what it is exactly, it is still misunderstood, misconceived and…

This article explores a conceptual relationship between learner choice and mathematical sense-making. It argues that when learners can exercise choice in their mathematical activities, mathematical sense-making can be enhanced. The literature around mathematical modelling suggests a link between sense-making and learner choice. A three-tiered…

Within caring science, the concept of caring leadership is well established. The aim of this study is to introduce Bondas's theory of caritative leadership into education. The theory of caritative leadership is a theory of caring leadership with the 'caritas' thought of human love and mercy at its core. The article considers a hypothetical testing…