We describe a "Day of Giving" university fundraising event that can be used to introduce data visualization to undergraduate students. The project involves integrating data sources, creating a Tableau data model, and designing a heat map that can be embedded into a front-end website. Our activity provides opportunities to discuss various…

Activities that engage high school students in visualizing chemical phenomena can help them develop representational competence to think about and communicate their understanding of these phenomena. This paper presents a collaborative learning activity that can engage precollege students in designing a poster that describes four different types of…

Reasoning is handled as a basic process skill in mathematics teaching. When the literature was examined, it was seen that many types of reasoning related to mathematics education were mentioned. In the present study, it was focused on visual reasoning, which is one of the types of reasoning and also used in different research areas. The purpose of…

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…

Efficient visualizations of computational algorithms are important tools for students, educators, and researchers. In this article, we point out an innovative visualization technique for matrix multiplication. This method differs from the standard, formal approach by using block matrices to make computations more visual. We find this method a…

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,…

In this article, we focus on pairing instructional approaches with a strong evidence base in math with evidence-based practices for students with extensive support needs. To do so we draw on two sources. We use the 2021 Practice Guide from the Institution for Education Sciences (Fuchs et al., 2021). In addition, we use identified evidence-based…

Learning introductory quantum physics is challenging, in part due to the different paradigms in classical mechanics and quantum physics. Classical mechanics is deterministic in that the equations of motion and the initial conditions fully determine a particle's trajectory. Quantum physics is an inherently probabilistic theory in that only…

In this project, students asked and attempted to answer questions about themselves by collecting and analyzing data. With the prevalence of big data and business analytics, managers have data and quantitative information available more immediately than ever. However, managers need to understand how to use this information. In this project,…

Multiplication and division are complex constructs for young children to understand. In this article, the authors explore young children's ability to visualise and make groups of objects before they had formally been introduced to multiplication and division. The results provide some valuable insights into students' early understandings of…

In recent years, philosophical work directly concerned with the practice of mathematics has intensified, giving rise to a movement known as the "philosophy of mathematical practice." In this paper we offer a survey of this movement aimed at mathematics educators. We first describe the core questions philosophers of mathematical practice…

Light rays refract when passing through pockets of transparent fluids with different indices of refraction such as ordinary air pockets of varying temperature. This phenomenon makes night stars twinkle, distorts views above hot asphalt roads and hot barbeque grills, and provides an opportunity for visualizing the normally invisible movement of…

This article describes Gapminder, a dynamic time-series graph that can be found at http://www.gapminder.org. Gapminder was created by a team of developers (Rosling, Ronnlund, and Rosling 2005) to create beautiful, interactive graphs of otherwise lifeless numbers. Their goal is increased use and understanding of statistics and data that…

With the help of augmented reality apps objects and text can be added virtually to the physical world (e.g. physical experiments) in real time. The augmented reality (AR) app 'PUMA: "Spannungslabor"' enhances simple electric circuits experiments for students with virtual representations based on the electron gas analogy including…

The aim of this article is to provide a theoretical framework to strengthen design thinking and practice in the context of teaching through productive processes and using it to generate knowledge. The article explores three modes of inquiry inspired by Dewey and based on Schön, Barab & Squire and DiSalvo to investigate academic inquiry in…