Many mathematical concepts may have prototypical images associated with them. While prototypes can be beneficial for efficient thinking or reasoning, they may also have self-attributes that may impact reasoning about the concept. It is essential that mathematics educators understand these prototype images in order to fully recognize their benefits…

Based on the presupposition that visual literacy skills are not usually learned unaided by osmosis, but require targeted learning support, this article explores how everyday encounters with visuals can be leveraged as contingent learning opportunities. The author proposes that a learner's environment can become a visual learning space if…

This paper proposes a synthesis of the science of learning into a "model" teachers can follow and apply right away in their classrooms. Recent studies in neuroscience show that that our brains appear to actively and purposefully forget most of what we learn--continually clearing out old and unneeded memories to allow us to focus on more…

Visualizations and visual models are of substantial importance for science learning (Harrison and Treagust, 2000), and it seems impossible to study chemistry without visualizations. More specifically, the combination of visualizations with text is especially beneficial for learning when dual coding is fostered (Mayer, 2014). However, at the same…

To succeed in STEM, students need to learn to use visual representations. Most prior research has focused on conceptual knowledge about visual representations that is acquired via verbally mediated forms of learning. However, students also need perceptual fluency: the ability to rapidly and effortlessly translate among representations. Perceptual…

As teachers seek activities to assist students in understanding division as more than just the algorithm, they find many examples of division as fair sharing. However, teachers have few activities to engage students in a quotative (measurement) model of division. Efraim Fischbein and his colleagues (1985) defined two types of whole-number…

Constructing formulas "from scratch" for calculating geometric measurements of shapes--for example, the area of a triangle--involves reasoning deductively and drawing connections between different methods (Usnick, Lamphere, and Bright 1992). Visual and manipulative models also play a role in helping students understand the underlying…

Previous research has found that the single argument of unaccusative verbs (such as "fall") is reactivated during sentence processing, but the argument of agentive verbs (such as "jump") is not ( and ). An open question so far was whether this difference in processing is caused by a difference in thematic roles the verbs assign, or a difference in…

In physics teacher education, two central goals are first to learn the structures of physics knowledge, and second the processes of its construction. To know the structure is to know the framework of concepts and laws; to know the processes is to know where the knowledge comes from, how the framework is constructed, and how it can be justified.…

Children are ubiquitous imitators, but how do they decide which actions to imitate? One possibility is that children rationally combine multiple sources of information about which actions are necessary to cause a particular outcome. For instance, children might learn from contingencies between action sequences and outcomes across repeated…

Although inquiry is more engaging and results in more meaningful learning (Minner, Levy, and Century 2010) than traditional science classroom instruction, actually involving students in the process is difficult. Furthermore, many students have misconceptions about Earth's seasons, which are supported by students' prior knowledge of heat sources.…

Example-based learning has been studied from different perspectives. Cognitive research has mainly focused on "worked" examples, which typically provide students with a written worked-out didactical solution to a problem to study. Social-cognitive research has mostly focused on "modeling" examples, which provide students the opportunity to observe…

Video modeling has been found to be an effective procedure for teaching a variety of skills to persons with autism, however, some individuals do not learn through video instruction. The purpose of the current investigation was to teach children with autism, who initially did not imitate a video model, to construct three toy structures through the…

This conceptual paper discusses some principles for powerful learning environments based on a cognitive perspective. Throughout the paper, it is argued that the accommodation of different individual cognitive preferences is crucial for its alignment with the human cognitive architecture. The paper concludes that in order to be aligned with the…

With an emphasis on procedural fundamentals, the original behavior-analytic equivalence experiments and the equivalence paradigm are described briefly. A few of the subsequent developments and implications are noted, with special reference to the possible significance of the findings with respect to language and cognition. (Contains 9 figures.)