In the first main section of this thesis, I investigate superirreducible polynomials over fields of positive characteristic and also over [set of rational numbers] and [set of integers]. An n-superirreducible polynomial f(x) is an irreducible polynomial that remains irreducible under substitutions f(g(x)) for g of degree at most n. I find…

The notion or expectation of simplifying final mathematical results remains problematic in that it is ill-defined, tied more closely to algorithmic versus conceptual understanding, and decontextualized from the content, purpose, and application of the mathematics in question. In this article, the authors advocate for a tool-focused view of…

Dimensions of family-school partnerships, including parent-teacher relationship quality and family educational involvement, are associated with positive outcomes for youth. Family-school partnerships are important for autistic youth, who may particularly benefit from cross-setting supports. Coordinated family-school partnerships may help maximize…

In higher education, diversity, equity, and inclusion (DEI) statements are texts written by faculty members which explain their commitments to improving education for marginalized students. Requesting, reviewing, and acting upon DEI statements is just one practice, among others, which higher education institutions can use to transform individual…

The COVID-19 pandemic posed significant challenges for practical teaching within the sciences. While many instructors adopted innovative alternatives to conventional practicals, many relied on digital approaches that did not give students hands-on experience. In this study we evaluate the use of 'at home' practical kits used in first year physics…

Escape rooms are collaborative puzzle solving activities that require the participants to utilize logical reasoning and teamwork. With a slight refocusing on previously acquired knowledge, escape rooms can also be used to test and promote learning of certain topics. This paper describes the development of a one-hour in-person STEM focused escape…

Studies commonly measure the challenges of caring for autistic adolescents and young adults, but scarcely explore the positive aspects of the caregiving experience. This study employed an equal-status concurrent mixed methods approach to quantitatively assess predictors of positive aspects of caregiving and qualitatively examine 174 caregivers'…

Teachers' conceptions of teaching play a key role in the pedagogical practices they apply in their teaching. Previous studies of conceptions of teaching generic skills have been mainly qualitative with small samples, and thus there is a need for a more extensive quantitative study. This study investigates the associations between higher education…

Language as a cultural element influences Aboriginal pupils' mathematic performance. This study examines the utility of oral test in native language for computation and word problem mathematics items using score comparability. The sample includes 230 Grade 5 Orang Asli pupils from eight Malaysian primary schools in two states. By employing…

Problem-solving competency is crucial for social development, especially in complex environments. In mathematics education, problem-solving enhances logic, creativity, and analytical skills, contributing to societal progress. This article identified quantitative information about important publications, authors, resources, and research trends on…

The association between the quality of teacher-student relationships and children's psychological adjustment has been mainly studied in Western countries; however, this research topic is gaining more interest in Eastern countries. Based on attachment theory and empirical evidence, this cross-sectional study examined the relationship between…

Background: Children with developmental language disorder (DLD) have problems acquiring language, affecting their communicative participation, social--emotional functioning (SEF) and quality of life (QoL). Aims: To investigate whether communicative participation mediates the relation between language and SEF and QoL. Methods & Procedures: In a…

Context: The importance of both self-regulated and self-directed learners has been emphasised in lifelong learning. However, in theory, self-regulated learning (SRL) serves as a basis for becoming a self-directed learner. Therefore, SRL (which includes certain skills) needs to be developed in vocational education and training alongside specialist…

Case-based learning (CBL) is a learner-centric educational approach that fosters independent learning and exploration through case analysis, guided by teachers' heuristic instruction. The study aimed to evaluate the efficacy of CBL versus traditional teaching methods in advanced breast cancer education for residents. In this randomized controlled…

Adolescence is a critical developmental period marked by increased stress and vulnerability to mental health issues. Meaningful peer relationships are known to protect against these challenges, but the rise of technology and social media use has impacted how adolescents form connections. Research indicates that adolescents' preference for social…