Analogies can be powerful teaching tools because they can make new material intelligible to students by comparing it to material that is already familiar. In assisting students to understand chemistry concepts, teachers occasionally use analogies. These analogies are believed to help the students to structure the new knowledge and they are…

Embodied cognition has been a useful means to support learning in science education. In this article, we describe a model of embodied cognition through analogical mapping that is supported through the participatory simulation and mathematical description of a link and pivot system. We look at the propensity for this model of embodied cognition to…

The hearings of the U.S. House Select Committee to Investigate the January 6th Attack on the United States Capitol have two fundamental and distinct tasks and responsibilities: first, to present a true account, based on conclusive evidence and logic; and second, to persuade the American public that this is indeed the only true and conclusive…

We present a case study of an elementary teacher, Jen, who transformed her mathematics teaching practice and deepened her conception of angle measure. Employing Teacher Development Experiment methodology, rooted in a constructivist perspective of learning, we analysed sets of pre/post interviews and classroom observations, for two lessons on angle…

In this paper, I consider whether the critical rationalist philosophy of science may provide a rationale for trusting scientific knowledge. In the first part, I refer to several insights of Karl Popper's social and political philosophy in order to see whether they may be of help in offsetting the distrust of science spawned by the COVID-19…

Recursive reasoning is a powerful tool used extensively in problem solving. For us, recursive reasoning includes iteration, sequences, difference equations, discrete dynamical systems, pattern identification, and mathematical induction; all of these can represent how things change, but in discrete jumps. Given the school mathematics curriculum's…

Analogies are bridges between prior knowledge and new knowledge to make meaning of the new one. Analogies are particularly effective in teaching science concepts that are not very apparent in the students' everyday lives due to their abstract nature. For this reason, it is essential to adapt analogies to teach new concepts effectively in science…

The purpose of this dissertation is to describe a doctoral research study that comprehensively investigated school psychologists' record review practices. Record reviews are part of the psychoeducational evaluation process, and there is relatively little previous research literature on this topic. The current study aimed to investigate the…

Previous research suggests that preschoolers struggle with understanding abstract relations and with "reasoning by analogy." Four experiments find, in contrast, that 3- and 4-year-olds (N = 168) are surprisingly adept at relational and analogical reasoning within a causal context. In earlier studies preschoolers routinely favored images…

The question I address in this paper is to what extent the prevailing description of educational reality that can be found in contemporary research, policy and practice can be considered complete. The motivation for asking this question stems from an educational paradox to which I refer as the Parks-Eichmann paradox. This paradox has to do with…

Generalization of learning can arise from 2 distinct sources: failure to discriminate a novel test stimulus from the trained stimulus and active extrapolation from the trained stimulus to the test stimulus despite them being discriminable. We investigated these 2 processes in a predictive learning task by testing stimulus discriminability…

In five experiments, we established and explored the contrast diversity effect--the effect of diversity of negative evidence on inductive inferences drawn from a single observation of a target exemplar. In Experiments 1 through 3, we show that increasing the diversity of negative evidence in a contrasting category led people to infer that a target…

The theory of mental models postulates that conditionals and disjunctions refer to possibilities, real or counterfactual. Factual conditionals, for example, "If there's an apple, there's a pear," parallel counterfactual ones, for example, "If there had been an apple, there would have been a pear." A similar parallel underlies…

Recent years have witnessed a host of innovations for conducting research with qualitative comparative analysis (QCA). Concurrently, important issues surrounding its uses have been highlighted. In this article, we seek to help users design QCA studies. We argue that establishing inference with QCA involves three intertwined design components:…

The relationship between spatial and mathematical ability is controversial. Thus, the current study conducted a meta-analysis of 73 studies, with 263 effect sizes to explore the relationship between spatial and mathematical ability. Furthermore, we explored potential factors that moderate this relationship. Results showed that the relationship…