Although the process of diagnosing invariably begins with a heuristic, we encourage our learners to support their diagnoses by analytical cognitive processes, such as Bayesian reasoning, in an attempt to mitigate the effects of heuristics on diagnosing. There are, however, limited data on the use ± impact of Bayesian reasoning on the accuracy of…

In this article the authors argue that distinguishing between rationality and intelligence helps explain how people can be, at the same time, intelligent and irrational (Stanovich, 2009). As such, researchers need to study separately the individual differences in cognitive skills that underlie intelligence and the individual differences in…

The ability of middle and high school students to reason quantitatively within the context of environmental science was investigated. A quantitative reasoning (QR) learning progression was created with three progress variables: quantification act, quantitative interpretation, and quantitative modeling. An iterative research design was used as it…

To improve on the classic school trip to the museum and the traditional distinctions between formal and informal learning, every year we run a project where the schools (first the teachers and then the pupils) are actively involved right from the very first stages of planning. The various projects realised so far involve schools with children of…

How do students think about an angle measure of ninety degrees? How do they think about ratios and values on the unit circle? How might angle measure be used to connect right-triangle trigonometry and circular functions? And why might asking these questions be important when introducing trigonometric functions to students? When teaching…

Current reforms in mathematics education advocate the development of mathematical learning communities in which students have opportunities to engage in mathematical discourse and classroom practices which underlie algebraic reasoning. This article specifically addresses the pedagogical actions teachers take which structure student engagement in…

This article analyzes the relationship between pupils' level of understanding of the analogies proposed in class while working with a model of chemical change and their competence at constructing a coherent verbal discourse of that model in both its macroscopic and submicroscopic representations. The study participants were 35 pupils in their 3rd…

This book draws on applied linguistics and literary studies to offer concrete means of engaging with vernacular language and literature in secondary and college classrooms. The authors embrace a language-as-resource orientation, countering the popular narrative of vernaculars as problems in schools. The book is divided into two parts, with the…

Background: Dynamic testing has been proposed as a testing approach that is less disadvantageous for children who may be potentially subject to bias when undertaking conventional assessments. For example, those who encounter high levels of test anxiety, or who are unfamiliar with standardized test procedures, may fail to demonstrate their true…

In this celebration of the work of Paul Hager, I draw attention to his highly successful collaborations with David Beckett and John Halliday as indicative of his collegiality and his conviction that knowledge is produced in cooperation with others. I highlight his enduring theme of practice and his deep concern for vocational and technical…

The recent discovery of the Higgs boson at the Large Hadron Collider (LHC) has contributed to a surge of interest in particle physics and science education in general. Given the conceptual difficulty of the phenomenon in question, it is inevitable that teachers and science communicators rely on analogies to explain the Higgs physics and its…

Recently, a new cognitive style approach was introduced, which refers to two types of visualizers. This approach is based on neuropsychological evidence and neuroimaging results, which suggest the existence of two distinct imagery subsystems, the object and the spatial imagery subsystems. The goal of the study was twofold: first to examine a…

Representations of the "tree of life" such as cladograms show the history of lineages and their relationships. They are increasingly found in formal and informal learning settings. Unfortunately, there is evidence that these representations can be challenging to interpret correctly. This study explored the question of whether children…

One important function of categories is to permit rich inductive inferences. Prior work shows that children use category labels to guide their inductive inferences. However, there are competing theories to explain this phenomenon, differing in the roles attributed to conceptual information vs. perceptual similarity. Seven experiments with 4- to…

It is an established finding that spacing repetitions generally facilitates memory for the repeated events. However, the effect of spacing of exemplars on inductive learning is not really known. Two experiments using textual material were conducted to investigate the effect of spacing on induction. Experiment 1 and 2 extended the generality of…