Since Bruner's introduction of discovery learning in the 1960s, there has been an ongoing and intensive debate on the value of inductive teaching methods (e.g., problem-solving followed by instruction, such as in problem-based learning and productive failure) compared to deductive teaching methods (instruction followed by problem-solving, such as…

In Goffman's terms, qualitative interviews are social encounters with their own realities. Hence, the 'situational critique' holds that interviews cannot produce knowledge about the world beyond these encounters, and that other methods, ethnography in particular, render lived life more accurately. The situational critique cannot be dismissed; yet…

A Prolog program consists of a set of facts and rules rather than imperative statements, commonly used in most other programming languages. Therefore, the Prolog language is used to encode logic, from which the inference engine deduces logical conclusions. In this article, we argue that the use of the Prolog language can be useful to help students…

Lockwood has argued that taking a set-oriented perspective is critical for successful combinatorial enumeration. To date, however, the research literature has not yet captured the cognitive processes involved in taking such a perspective. In this theoretical paper, we elaborate the constructs of spatial structuring and spatial-numerical linked…

Spark, one of the products offered by MyQ (formerly Plethora), is a game-based platform meticulously designed to introduce students to the foundational concepts of computer science. By navigating through logical challenges, users delve into topics like abstraction, loops, and graph patterns. Setting itself apart from its counterparts, Spark boasts…

While patterning was commonly seen as evidence of mathematical thinking, interdisciplinary interest has recently increased due to pattern-recognition applications in artificial intelligence. Within two empirical studies, we analyze the analogical-transfer capability of primary school students when completing three types of bi-dimensional patterns,…

Our current cultural climate is marked by a convergence of pressing issues, including the rise of the post-truth situation, which has recently been described as an epistemic crisis (Hoggan-Kloubert & Hoggan, 2023). This conceptual paper outlines why adult education institutions must reclaim the pursuit of truth as undergirded by rationality,…

A central goal of civic and multicultural education is preparing young people to participate in deliberatively informed action on important social issues. In order to achieve this goal, educators need to cultivate young people's innate but partial 'sprouts' of benevolence, which are rooted in feelings of empathy and compassion. Without a sense of…

In contrast to the determinist and non-discrete structure of classical physical concepts, the probabilistic and discrete/quantised structure of quantum physics embeds certain difficulties in deeper understanding and teaching activities. In this study, in order to understand and to teach the concept of quantization more effectively, a clear analogy…

Wisdom, long a topic of interest to moral philosophers, is increasingly the focus of social science research. Philosophers have historically been concerned to develop a rationally defensible account of the nature of wisdom and its role in the moral life, often inspired in various ways by virtue theoretical accounts of practical wisdom…

This article explores the advantages of viewing intelligence not as a fixed trait residing within an individual, but rather as a person × task × situation interaction. The emphasis in the article is on the role of persons solving tasks embedded in situations involving learning, intellectual abilities, and competencies. The article opens with a…

Training programs for statisticians and data scientists in healthcare should give greater importance to fostering inductive reasoning toward developing a mindset for optimizing Big Data. This can complement the current predominant focus on the hypothetico-deductive reasoning model, and is theoretically supported by the constructivist philosophy…

Critics of null hypothesis significance testing suggest that (a) its basic logic is invalid and (b) it addresses a question that is of no interest. In contrast to (a), I argue that the underlying logic of hypothesis testing is actually extremely straightforward and compelling. To substantiate that, I present examples showing that hypothesis…

The changes associated with the Renaissance, Reformation and Enlightenment moved the seat of authority from princes and bishops to the individual and made the application of rationality the measure of believability. This paper argues that the current period of socio-political and moral upheaval, triggered by disruptive technology, anger about…

Research in psychology and in mathematics education has documented the ubiquity of "intuition traps" -- tasks that elicit non-normative responses from most people. Researchers in cognitive psychology often view these responses negatively, as a sign of irrational behaviour. Others, notably mathematics educators, view them as necessary…