This paper offers instructional interventions designed to support undergraduate math students' understanding of two forms of representations of Calculus concepts, mathematical language and graphs. We first discuss issues in students' understanding of mathematical language and graphs related to Calculus concepts. Then, we describe tasks, which are…

Representation in science is anything that stands for something else--drawings, pictures, graphs, or other representational forms (Danish et al. 2020). Representations serve as public displays of phenomena that make aspects of those phenomena explicit (Gilbert 2008). They can serve to make the invisible visible, communicate ideas, display…

Ocean currents play an important role in regulating the Earth's climate by redistributing ocean heat around the planet. One important climate phenomenon that includes several large ocean currents is the Atlantic Meridional Overturning Circulation, which is the process of warm surface currents in the North Atlantic Ocean moving to the Arctic to…

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…

The drag effect on a falling ball caused by air is a conventional subject in the most well-known textbooks of classical mechanics and fluid dynamics. Further, there are some papers that employ video analysis to track objects movements in the air making it possible to obtain position data as a function of time and its graphs. However, none of them…

Curriculum prerequisite networks have a central role in shaping the course of university programs. The analysis of prerequisite networks has attracted a lot of research interest recently since designing an appropriate network is of great importance both academically and economically. It determines the learning goals of the program and also has a…

For several years, I taught a general education course on the Manhattan Project for students majoring in the arts and humanities who needed a physical science credit as a condition of their graduation requirements. As might be imagined, the challenge in teaching this course was to find a balance between quantitative and qualitative content. A…

This manuscript proposes the use of the "I notice, I wonder" routine in college mathematics classrooms to address issues of diversity, equity, and inclusion. Examples are given of prompts that incorporate meaningful conversations about real-world issues affecting our students or about issues of inclusion, access, and representation in…

Statistical data is used in the media and on online platforms, often with an interpretation that serves some commercial or political purpose. Primary preservice teachers must be able to understand statistical data and analyze it critically. Only in this way will they be able to contribute as future teachers to the development of a critical spirit…

This paper presents preparations, execution and reflection on results for the physics part of a CSI task for the European Union Science Olympiad 2010, taking place at the University of Gothenburg. The participants were required to make a graph of the cooling of a swede ("Brassica napus"), as a proxy for the cooling of a murder victim,…

The purpose of this teaching case is to develop a hands-on exercise on graph processing using a hybrid system. The paper provides a background on graph databases and how graph processing is supported in a hybrid system, SAP HANA. It also details step-by-step instructions on how to create, modify, and process a graph database using SAP HANA. The…

In this paper, we aim to show strategies for improving graph interpretation skills at middle and high school students using OZOBOT® BIT, a small and relatively low-cost programmable robot which had been used to teach programming to young children. OZOBOT's speed can be controlled by drawing lines with colour codes, as well as through a visual…

Manfred Hauben proposes an approach to teaching non-transitive relationships between 'paradoxical' dice using simple statistical graphics. This method usefully supplements traditional approaches of conditional probability calculations and trees, and students are thereby better able to see what is going on and the mechanism of these relationships.

Throughout time people have been measuring the rising and setting positions of celestial objects with respect to the horizon. The motivation for this paper is to provide a link between mathematical and observational approximations for the Sun's declination (angular distance from the celestial equator). One source had students do an experiment with…

Reading comprehension is key to knowledge acquisition and to reinforcing memory for previous information. While reading, a mental representation is constructed in the reader's mind. The mental model comprises the words in the text, the relations between the words, and inferences linking to concepts in prior knowledge. The automated model of…