Advances in computer visualization enabling both 2D and 3D representation have generated tools to aid perception of spatial relationships and provide a new forum for instructional design. A key knowledge gap is the lack of understanding of how the brain neurobiologically processes and learns from spatially presented content, and new quantitative…

Perceiving a 3-dimensional (3D) diagram on a 2-dimensional (2D) surface or plane can be a challenging endeavor for students at the elementary or primary grade levels. Adding to this challenge are the intricacies present in understanding the processes involved in geometric problems of such a nature. To ease the comprehension of these processes,…

In the new national core curriculum for Finnish preschool and basic education, rationales for supporting pupil participation are framed by the goal of developing school communities by listening to pupils' perspectives, the social nature of teaching and learning and pupils' participatory role in planning, implementing and evaluating their own…

This study aims to determine the views of social studies and geography teachers on their table, graphic, diagram interpretation and preparation skill (TGDI-PS). In according with this study, the research was designed in the mixed method, in which both quantitative and qualitative data collection instruments were used together. The research was…

As three-dimensional (3D) printing technology is fast becoming more affordable and accessible, calculus instructors can now consider using 3D printing and 3D printed models to actively engage students in core concepts relating to objects in R[superscript 3]. This article describes three lessons for a multivariable calculus class in which students…

Knowing when students have the prerequisite knowledge to be able to read and understand a mathematical text is a perennial concern for instructors. Using text describing Newton's method and Vinner's notion of concept image, we exemplify how prerequisite knowledge influences understanding. Through clinical interviews with first-semester calculus…

Data collected in psychological studies are mainly characterized by containing a large number of variables (multidimensional data sets). Analyzing multidimensional data can be a difficult task, especially if only classical approaches are used (hypothesis tests, analyses of variance, linear models, etc.). Regarding multidimensional models, visual…

It is essential that chemists develop strong oral communication skills. At the undergraduate level, this requires students to build confidence in their ability to speak without a script and to utilize graphics effectively. We have developed a short activity that helps address common presentation issues such as overuse of text and reading verbatim…

A new laboratory experiment investigating the ternary phase equilibrium of water-propan-2-ol-sodium chloride with one-, two-, and three-phase regions has been developed. Observations of the type and number of phases of a series of mixtures of the three components were made, and the results are then used in a systematic way to more finely choose…

A well-constructed just qualified candidate (JQC) description is needed to arrive at a reasonable passing score for licensure tests. Traditionally, such descriptions consist of a list of knowledge and skill statements without sufficient context to internalize its intended meaning, allowing the standard-setting panelists to make idiosyncratic…

The interpretation of medical images is a primary task for radiologists. Besides two-dimensional (2D) images, current imaging technologies allow for volumetric display of medical images. Whereas current radiology practice increasingly uses volumetric images, the majority of studies on medical image interpretation is conducted on 2D images. The…

We propose that there exists mathematical knowledge for teaching (MKT) specific to visual representations (VRs), abbreviated MKT-VR. We define a VR as a graphic creation, such as a diagram or drawing, which illustrates quantities and shows quantitative relationships or which illustrates geometric properties of figures and shows geometric…

Within the broad area of whole number operations, understanding and solving word problems continues to be an important area of inquiry. In the present study we draw on the framework of representational fluency to examine conceptual and procedural understandings that are exhibited by a group of Malaysian seven-year-olds as they attempted to solve…

Findings are presented from an analysis of how six future middle-grade teachers reasoned with strip diagrams and a variable parts perspective on proportional relationships to develop and explain equations in two variables. One equation was for two quantities varying together and one was for a line through the origin in a coordinate plane. Both…

The importance of plants is not as clearly understood as that of animals. This lack of attention is called "plant blindness" and is considered one of the most important problems in biology education. Textbooks do not put much emphasis on plants and, therefore, they may contribute to plant blindness. In this research, ten textbooks used…