Debates about how best to support students' transition from school to university have re-emerged periodically since at least the 1970s. This paper focuses upon one aspect of this transition: how to develop the quantitative skills students acquire at school throughout the first year of their degree. We report on an attempt to inject pedagogic…

We offer an analysis of calculus assessment items that highlights ways to evaluate students' application of important meanings and support their engagement in generative ways of reasoning. Our central aim is to identify characteristics of items that require students to apply their understanding of key ideas. We coordinate this analysis of…

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…

In this essay Dustin Webster argues that it is not the teaching of academics, but instead contributing to the ethical development of students that allows teachers to flourish in their roles. Engaging in what he calls "ethics education" provides intrinsic value that serves a teacher's flourishing as well as adding instrumental value in…

As an outcome of multidiscipline integration, the polymeric surfactant is of growing importance in modern industry and scientific research. However, the instructional introduction on polymeric surfactants is still insufficient in universities nowadays. In order to effectively guide undergraduates to study polymeric surfactant, a new polymeric…

This paper explores how students connect meaningfully with theory through the aesthetic experiences of problem solving together in the context of a workshop. It can be challenging for students studying design in university programs to understand how theory is relevant, when applied in practical design studio activities. In the colour workshop…

The exercise of pursuing greater understanding of riddles, especially of locally Indigenous traditional riddles, is an exercise in observation and perception, of limitation and self-correction, and of infinite persistence--skills essential to cross-cultural, cooperative decision making. This article aims to model a shared experience for teachers…

Since the 1950s, educational literature has explored the potential of translating art criticism into classroom practices. This eventually led to the emergence of educational criticism as a distinctive form of inquiry in the 1970s. However, despite its potential for exploring educational experiences and evaluating educational programs, educational…

This book explores questions about the relevance of implementing curriculum in transnational vocational education, in situations where teachers are expected to maintain standards in a country for which it was not designed. It provides a situational model of curriculum implementation that explains the complexity of factors that influence teachers'…

Conventional advice discourages controlling for postoutcome variables in regression analysis. By contrast, we show that controlling for commonly available postoutcome (i.e., future) values of the treatment variable can help detect, reduce, and even remove omitted variable bias (unobserved confounding). The premise is that the same unobserved…

The topic of recurrence relations has recently been introduced in many discrete mathematics textbooks. Recurrence relations are efficient modelling and problem-solving techniques used in mathematics. Combinatorial problems are often used to introduce recurrence relations. However, many textbooks consider problems that can be reduced only to the…

The doctrine of leader centrism, supported by the concept of methodological individualism, dominates contemporary accounts of leadership in education and is generally applied as the default option that explains how organizations such as schools function. We argue that methodological individualism is not defensible and that as a result, the…

Adaptive expertise represents the combination of both efficient problem-solving for clinical encounters with known solutions, as well as the ability to learn and innovate when faced with a novel challenge. Fostering adaptive expertise requires careful approaches to instructional design to emphasize deeper, more effortful learning. These teaching…

Mathematics is foundational to integrated science, technology, engineering, and mathematics (STEM) education. Problem solving is central to integrated STEM and to the individual disciplines as evidenced by the practice standards of each discipline (e.g., Standards for Mathematical Practice, Science and Engineering Practices, and Technology and…

Most American colleges and universities assimilate students into highly competitive undergraduate experiences. By placing achievement for personal and material gain as the bedrock of a college education, these institutions fail to educate students to become collaborative learners: people who are committed and prepared to join with others in…