Aiming to enhance understanding of visual obstacles inherent in two-dimensional (2-D) sketches used in high school spatial geometry instruction, we propose a measure of visual difficulty based on two attributes of the sketches: potentially misleading geometrical information (PMI) and potentially helpful geometrical information (PHI). The…

The development of math reasoning and 3-d mental rotation skills are intertwined. However, it is currently not understood how these cognitive processes develop and interact longitudinally at the within-person level -- either within or across genders. In this study, 553 students (52% girls) were assessed from fifth to seventh grades on 3-d mental…

This mixed method study investigation uses eye tracking and qualitative analysis to investigate the impact of animation variation and visual feedback on the critique of submicroscopic representations of experimental phenomena. Undergraduate general chemistry students first viewed an experimental video of a precipitation or oxidation reduction…

Consumer-grade manufacturing tools such as 3D printers are becoming increasingly prevalent in STEM education environments, especially as tools to develop inexpensive, tactile visualization models. Presented here is a workflow for creating 3D-printed periodic tables displaying a variety of trends from traditionally taught relationships such as…

This study describes the development of an innovative multimedia application and examines teacher perceptions of its usefulness in assisting students with imagery deficit to visualize the reading comprehension. Students with good reading skills can easily create mental representations from oral or written language, and their sensory system quickly…

This article explores how creative visual imagination and creative thinking can help children to construct mental models of space. A mixed-method study, integrating quantitative and qualitative approaches and involving 98 five-year-old children (54 girls and 44 boys) demonstrated that creative visual imagination, rather than creative thinking, is…

Visual imagery has been an effective tool to communicate ideas connected with basic mathematics concepts since the dawn of mankind. The development of educational visualisation technology allows these ideas to be demonstrated with the help of some educational software. In this paper, we specifically consider the use of GeoGebra, a free,…

We reviewed 12 studies in which the researcher taught problem-solving strategies, such as self-questioning and visual imagining, to children and adolescents with and without disabilities to facilitate the learning of math, spelling, play/social, and communication skills. We analyzed these studies in terms of types of problem-solving strategies,…

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…

The use of planar and volumetric geometric figures in the form of didactic games and exercises, the participants in the experiment showed a significant improvement in the results of the level of spatial representation compared with the control group. The methodology of the use of didactic games and exercises with geometric figures showed the…

The present study examines the features and quality of visual representations (VRs) created by middle school students with learning disabilities and difficulties in mathematics in response to a released fraction item from the National Assessment of Educational Progress (NAEP). Relations between VR quality and scores on other measures of fraction…

Studying musical text effectively reinforces grammar structures and vocabulary taught in class while simultaneously developing cultural literacy, a critical component in second language acquisition. Musical text facilitates a multimodal learning experience as it combines the verbal and aural modes, and is often accompanied by the visual mode. In…

Student-generated drawing is a useful strategy to construct students' scientific ideas. For exploring ways to support student-generated drawing, we focused on the perspective of 'Norms' -- shared behaviour patterns desirable in a community. We investigated what norms were formed and how they emerged when students made drawings to explain…

We show how we used a national distribution of responses from 416 practicing teachers to items of a test of mathematical knowledge for teaching geometry to estimate changes in knowledge by a group of 11 practicing teachers who participated in a 2-year practice-based professional development programme. To draw a reliable interpretation of the…

Humans have a uniquely sophisticated ability to see past superficial features and to understand the relational structure of the world around us. This ability often requires that we compare structures, finding commonalities and differences across visual depictions that are arranged in space, such as maps, graphs, or diagrams. Although such visual…