The design process is full of judgment, especially around successes and failures that occur through each iteration. Decisions about how to proceed when ideas do not work can be especially challenging for beginning designers. Yet, experts are able to demonstrate more natural regulation of the process. This research focused on the experiences of…

Background: Realistic visualizations have been associated with benefits in retention performance, but also with disadvantages in transfer tasks. Realistic details are considered to be helpful for the initial learning of content, but not for the generalization to other domains and tasks. Objectives: The contradictory nature of previous evidence…

The study aims to define the processes of pre-service mathematics teachers in reaching spatial visualisation generalisations within the context of drawing surface nets of solids. Two theories, Polya's problem-solving steps and novice-to-expert problem-solving schemas, were used as reference frameworks to describe the participants' spatial…

Eye movement modeling examples (EMMEs) are instructional videos (e.g., tutorials) that visualize another person's gaze location while they demonstrate how to perform a task. This systematic literature review provides a detailed overview of studies on the effects of EMME to foster observers' performance and learning and highlights their differences…

This article aims to outline the important role of the summary phase within a mathematics instructional model and provide six strategies to support teachers to move beyond "share time." By drawing upon good teaching strategies during the summary phase, teachers can enhance the learning experience for themselves and for their students.…

Background: Letter knowledge is crucial in the first stages of reading development. It supports learning letter-sound mappings and the identification of the letters that make up words. Previous studies have investigated the longitudinal impact of early letter knowledge on children's further word reading abilities. This study employed an artificial…

This article presents a modified version of the bridge drawing assessment administered to a substance use disorder population at admission and discharge from a residential addiction treatment center. Following an overview of the bridge drawing assessment and method, the authors present two case descriptions that illustrate how the modified task…

Background: Performance monitoring plays a key role in self-regulated learning, but is difficult, especially for complex visual tasks such as navigational map reading. Gaze displays (i.e. visualizations of participants' eye movements during a task) might serve as feedback to improve students' performance monitoring. Objectives: We hypothesized…

In this paper, I share an activity that reinforces students' understanding of translations, reflections, and rotations via body movement. As a result of this activity, students gain a different perspective compared to previous explorations on paper, communicate mathematics, and visualize transformations as rigid motions on the plane. Furthermore,…

Object representations from convolutional neural network (CNN) models of computer vision (LeCun, Bengio, & Hinton, 2015) were used to drive a cognitive model of decision making, the linear ballistic accumulator (LBA) model (Brown & Heathcote, 2008), to predict errors and response times (RTs) in a novel object recognition task in humans.…

Concept-based language instruction (C-BLI) is a pedagogy guided by sociocultural theory, which has been shown to be effective in facilitating second language learning. Typical activities include materialization by using a schema for a complete orienting basis of an action (SCOBA) and languaging, through which learners' internalization of…

Learning about components and processes of complex biological systems is challenging and requires abstraction through mediational tools such as text, visuals, models and visualisation experiences. The 'systems concepts' necessitate building coherent relations and anticipating consequences, requiring greater mediational support. This article…

Background: Key to optimizing Computational Thinking (CT) instruction is a precise understanding of the underlying cognitive skills. Román-González et al. (2017) reported unique contributions of spatial abilities and reasoning, whereas arithmetic was not significantly related to CT. Disentangling the influence of spatial and numerical skills on CT…

Building from the evidence-based learning progression in geometric reasoning from the RMFII project, this paper presents data from students' solutions to three problems in geometry and measurement situations to identify key components needed to nurture reasoning. To show emerging analytical reasoning students must coordinate multiple pieces of…

In the context of an analytical geometry, this study considers the mathematical understanding and activity of seven students analyzed simultaneously through two knowledge frameworks: (1) the Van Hiele levels (Van Hiele, 1986, 1999) and register and domain knowledge (Hibert, 1988); and (2) three action frameworks: the SOLO taxonomy (Biggs, 1999;…