Integer operations are typically introduced in sixth grade, but they are a consistent area of struggle among these students. This struggle also inhibits their understanding of algebraic computations involving positive and negative terms. In this article, the author provides introductory tasks and models for adding and subtracting integers that can…

With the emergence of COVID-19, public interest in data visualization has surged. Data visualizations also, importantly, raised questions related to the data and the social context in which it occurred. Extending beyond but remaining connected to COVID-19, this context involved the racial and social inequality and economic disparities brought to…

Understanding educators' networks can inform the field of school psychology by offering insight into how the structure of social relationships supports the implementation of school-based programs. However, the difficulties of collecting and modeling network data remain barriers to using network methods in school psychology. To overcome these…

This technology report presents the main features of a free digital educational tool which aims to introduce middle school level students to the comprehension of the particulate nature of matter in the three states (i.e., solid, liquid, and gas) and during phase transitions. This digital tool is available and is freely accessible online. Its…

This article shares two activities geared toward students in middle school that engage students in analyzing measures of center, specifically the arithmetic mean, and using transnumerative thinking with the ultimate goal of improving students' statistical literacy. Both activities support the Common Core standard, 6.SP.B.5 "Summarize and…

In this article, the authors offer four specific reading comprehension strategies that mathematics teachers of all levels can employ with their students when working on word problems: (1) visualizing; (2) retelling; (3) making connections; and (4) asking questions. These strategies, which have a substantial research base in literacy, are discussed…

Spatial ability was defined by Lohman (1996) as the ability to create, maintain, retrieve, and change visual pictures. Linn and Peterson (1985) distinguished among spatial perception, mental rotation, and spatial visualization. Spatial perception is the determination of spatial connections with respect to the orientation of the learners' body;…

The author offers practical strategies to introduce and maintain a mindfulness practice with middle-grade students and discusses ethical implications of employing mindfulness in the classroom.

Spatial visualisation is an essential component of geometric thinking and measurement sense. It is a particular type of spatial skill that involves manipulation of spatial images and may not be naturally occurring for students. However, research shows that it is malleable and can be developed through instruction. This article presents an…

"In many ways, images are the vehicle of comprehension, thought, and action. We integrate parts of images, we remember images, we manipulate images." This quote from James E. Zull clarifies the rationale for a discussion protocol called Visual Thinking Strategies (VTS), in which teachers focus students' attention on an image and ask…

We present a simple procedure to make an augmented reality app to visualize any chemical 3D model. The molecular structure may be based on crystallographic data or from computational modeling. This guide is made in such a way that no programming skills are needed, and the procedure uses free software and provides a way to visualize 3D structures…

Middle school students need opportunities to craft informal mathematical arguments beyond justification of steps in an algorithm. Pentominoes provide an excellent vehicle for such activity. In this article, the authors describe an exploration with pentominoes that engaged a group of ninth-grade students in proportional reasoning, dilation, and…

For this article, we use a 3D printer to print a surface similar to universal gravitation for demonstrating and investigating Kepler's laws of planetary motion describing the motion of a small ball on the surface. This novel experimental method allows Kepler's laws of planetary motion to be visualized and will contribute to improving the…

Gamification of language learning is a clear trend of recent years. Widespread use of smartphones and the rise of mobile gaming as a popular leisure activity contribute to the popularity of gamification, as application developers can rely on an unprecedented reach of their products and expect acceptance of game-like elements by the users. In terms…

This teaching tip highlights three writing minilessons that help students construct vivid sensory detail (textual detail related to the five senses) in their fiction and creative nonfiction writing. Learning to show, not tell, is a difficult task for novice writers. The author explores reasons why this is the case and provides directions for the…