Jordan canonical form (JCF) is one of the most important, and useful, concepts in linear algebra. Mathematics, physics, biology, science and engineering undergraduates often find the first application of real JCF in the discipline of differential equations (continuous models) to solving systems of differential equations. In this work, we apply…

Problem posing is an indispensable constituent of mathematical thinking, which makes it a requisite ability for students of all grades. Therefore, pre- and in-service teachers should carry out problem posing activities of high quality, and having them pose non-routine problems may be a good way to make this happen. In this context, this study…

Mediocrity as a concept in education has frequently been used by modern-day and historical actors to express discontent with the status quo of pedagogy and schooling. Despite its pervasiveness in discourse, however, the concept has largely evaded academic scrutiny, particularly in terms of its historical development in the years leading up to its…

Over the last 30 years, there has been substantial debate about the practical, ethical and epistemological issues uniquely associated with qualitative data sharing. In this paper, we contribute to these debates by examining established data sharing practices in Conversation Analysis (CA). CA is an approach to the analysis of social interaction…

We examined how bullying victimization across childhood and adolescence was associated with BPD symptoms in emerging adulthood. Participants were drawn from the McMaster Teen Study, representing a community sample. A three-class solution of bullying victimization trajectories was selected from a semi-parametric group-based trajectory analysis…

Research demonstrates that when math-based gender stereotypes are activated (e.g., men are better at math than women), women display comparatively poorer math performance than men, a phenomenon referred to as stereotype threat. We evaluated the effectiveness of two forms of self-affirmation in reducing the effects of stereotype threat on women's…

Successful problem solving is a complex process that requires content knowledge, process skills, developed critical thinking, metacognitive awareness, and deep conceptual reasoning. Teaching approaches to support students developing problem-solving skills include worked examples, metacognitive and instructional scaffolding, and variations of these…

Background: Randomized controlled trials (RCTs) give unbiased estimates of average effects. However, positive effects for the majority of students may mask harmful effects for smaller subgroups, and RCTs often have too small a sample to estimate these subgroup effects. In many RCTs, covariate and outcome data are drawn from a larger database. For…

Nonresponse bias is a widely prevalent problem for data on education. We develop a ten-step exemplar to guide nonresponse bias analysis (NRBA) in cross-sectional studies and apply these steps to the Early Childhood Longitudinal Study, Kindergarten Class of 2010-2011. A key step is the construction of indices of nonresponse bias based on proxy…

In today's global economy, the origin of the food we eat is becoming more and more difficult to identify. Verifying the authenticity of products to protect supply chains is a complicated problem that requires a multidisciplinary approach. Chemical authentication of foodstuffs often includes a mass spectrometer detector; however, they are costly…

Children with complex communication needs (CCN) who use augmentative and alternative communication (AAC) often need more time to process and respond when communicating with others. This study employed a survival analysis approach exploring child response-time patterns following different communication opportunities for young children with CCN who…

The COVID-19 pandemic caused tremendous upheaval in schooling. In addition to its devasting effects on students' academic development, the disruptions to schooling had important consequences for researchers conducting effectiveness studies on educational programs during this era. Given the likelihood of future large-scale disruptions, it is…

Children with complex communication needs (CCN) who use augmentative and alternative communication (AAC) often need more time to process and respond when communicating with others. This study employed a survival analysis approach exploring child response-time patterns following different communication opportunities for young children with CCN who…

The purpose of this study is to gain understanding of how secondary teachers conceptualize the relationships between mathematical modeling and problem solving. Eight secondary teachers participated in semi-structured, think-aloud individual interviews. Some conceptualizations include (a) modeling and problem solving are two distinct processes; (b)…

The purpose of this qualitative exploratory case study was to explore teachers' and administrators' perceptions of test score pollution deriving from COVID-19-related issues that may affect students' test scores on state-mandated standardized tests for grades six through 12 in a state along the Atlantic Coast of the United States. Four research…