Reasoning about numerical magnitudes is a key aspect of mathematics learning. Most research examining the relation of magnitude understanding to general mathematics achievement has focused on whole number and fraction magnitudes. The present longitudinal study (N = 435) used a 3-step latent class analysis to examine reasoning about magnitudes on a…

Inequality in reading outcomes is perhaps the single greatest social justice issue faced by school psychologists, and school psychologists need a better understanding of reading theory and its application to intervention to better combat the important issue. The present study examined the active view of reading (AVR; Duke & Cartwright, 2021),…

There is an extensive body of philosophical, educational, and popular literature explaining Socratic pedagogy's epistemological and educational ambitions. However, there is virtually no literature clarifying the relationship between Socratic method and doxastic responsibility. This article fills that gap in the literature by arguing that the…

Diagrams are powerful opportunities for grappling with and learning abstract relationships, for example learning the relations between elements in an ecosystem rather than simply memorizing the objects within the system. Further, what is crucial from any diagrammatic learning opportunity is the ability to use this relational knowledge in a new…

This article attempts to think of thinking as the essence of critical education. While contemporary education tends to stress the conveying of knowledge and skills needed to succeed in the present-day information society, the present article turns to the work of Theodor W. Adorno to develop alternative thinking about education, thinking and the…

In this paper we give a general definition of structural reasoning, followed by a typology that instantiates the definition in mathematical practices. Five major categories of structural reasoning, some with subcategories, are offered: (a) pattern generalization, (b) reduction of an unfamiliar structure into a familiar one, (c) recognizing and…

Using the Structure of Observed Learning Outcomes (SOLO) taxonomy as the analytic framework, this study examined the impact of the reasoning flow scaffold (RFS) on students' written arguments. Two classes with a total of 88 10th grade students in a school participated in this study. One class, set as the experimental group, was taught scientific…

Ambridge calls for exemplar-based accounts of language acquisition. Do modern neural networks such as transformers or word2vec -- which have been extremely successful in modern natural language processing (NLP) applications -- count? Although these models often have ample parametric complexity to store exemplars from their training data, they also…

Background: Various conversational contexts elicit stimulating parent-child interactions to a different degree. Shared reading, a scripted activity, is reported to elicit most abstract speech compared with other activities (e.g., toy play). Parental socioeconomic status (SES) is another key predictor of abstract talk. Shared reading can attenuate…

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…

Computational thinking requires high cognitive load as students work to manage multiple tasks in their problem-solving environment. Through research in K-2 classrooms on computational thinking, we noticed that students lack the representational fluency needed to move from one form to another--such as moving from physical to more abstract…

Due to their abstract nature, representation of mathematical concepts through different registers favors their understanding. In the case of ''sequences and regularities'', it becomes propitious the exploration of different registers of representation in the institution of topics, such as term, order, formation law, and generating expression.…

Purpose: Cognitive screening tools to identify patients at risk for cognitive deficits are frequently used by clinicians who work with aging populations in hearing health care. Although some studies show improvements in performance on cognitive screening exams when hearing loss intervention is provided in the form of a hearing aid or cochlear…

The Cattell-Horn-Carroll (CHC) or three-stratum model of intelligence envisions human intelligence as a hierarchy. General intelligence (g) is situated at the top, under which are a group of broad intelligences such as verbal, visuospatial processing, and quantitative knowledge that pertain to more specific areas of reasoning. Some broad…

"Drawing Conclusions" explores the use of juxtaposed visual representations (JVRs) to help preservice teachers grapple with abstract concepts, theories, or complex controversies in education. Acting as both a learning tool and an intellectual spark, JVRs are two simple contrasted sketches that students produce on a divided sheet of…