This theoretical paper describes how Community-based Mathematical Modeling can advance equity and cultivate civic empathy in elementary school settings. We provide a framework for community-based mathematical modeling instruction consisting of five goals: facilitating connections, fostering engagement, promoting rigor, cultivating civic empathy,…

Enzymatic activity is at the core of biological reactions. Understanding them and the chemical and environmental factors that affect reaction rates is critical for biology students. The laboratory experiment proposed here investigated these concepts, while requiring students to document, graph data, analyse results using statistics, and…

Science students need exposure to activities that will help them to become familiar with phenomena exhibiting exponential decay. This paper describes an experiment that allows students to determine the rate of thermal energy loss by a hot object to its surroundings. It requires limited equipment, is safe, and gives reasonable results. Students…

Although lecture is the traditional method of university mathematics instruction, there has been little empirical research that describes the general structure of lectures. In this paper, we adapt ideas from narrative analysis and apply them to an upper-level mathematics lecture. We develop a framework that enables us to conceptualize the lecture…

Since many decisions in politics, economics, and social sciences are based on statistics, statistical literacy is a key component for an active citizen. Statistical skills and statistical reasoning can already be enhanced in primary school. Therefore, not only in Germany, statistics is an element of the primary-school curriculum, which usually…

Online learning has attracted a large number of participants and is increasingly becoming very popular. However, the completion rates for online learning are notoriously low. Further, unlike traditional education systems, teachers, if any, are unable to comprehensively evaluate the learning gain of each student through the online learning…

In this article we analyse: 1) one-component models of training; 2) the multi-component models considering transition of weak knowledge in strong and vice versa; and 3) the models considering change of working efficiency of the pupil during the day. The results of imitating modeling are presented, graphs of dependences of the pupil's knowledge on…

Elementary pre-service teachers in an upper-division algebra mathematics content course explored graphing through the use of Calculator-Based Rangers™ (CBRs). This study explores how they used the "Distance Match" feature of the technology to engage in algebraic thinking. Operating CBR technology, pre-service teachers' perceptions…

Building sets, video games, and scatterplots may seem unrelated, but when they are combined into a problem-based learning (PBL) lesson, these elements join to create a unique learning experience. PBL lessons drive instruction by focusing learning and activities around a central challenge or question while providing a relevant, captivating, and…

Creating and interpreting visual displays of data is an important component of quantitative and scientific literacy. We examined a figure-analysis activity called "Figure of the Day" (FotD) and its impact on undergraduate biology students' figure creation skills. The treatment FotD activity required that students interpret a figure with…

Along-standing energy lab involves dropping bouncy balls and measuring their rebound heights on successive bounces. The lab demonstrates a situation in which the mechanical energy of a system is not conserved. Although students enjoyed the lab, the author wanted to deepen their thinking about energy, including the connections to motion, with a new…

This article describes how two teachers implemented a 5E lesson in a third-grade classroom where the students had been working with forces/motion and investigating things that move like pendulums, swing sets, and various toys. The lesson was included as part of a larger unit on motion. The desired outcome for this lesson was for students to…

Using multimedia inside the English as a foreign language (EFL) classroom has been anticipated by several researchers and educators recently as a new necessary component of language learning. This is ascribed on the one hand to the continuous advancements in the new technological devices that might be used in presenting the various types of…

Representational competence is essential for the acquisition of conceptual understanding in physics. It enables the interpretation of diagrams, graphs, and mathematical equations, and relating these to one another as well as to observations and experimental outcomes. In this study, we present the initial validation of a newly developed…

Graphing functions is an important topic in algebra and precalculus high school courses. The functions that are usually discussed include polynomials, rational, exponential, and trigonometric functions along with their inverses. These functions can be used to teach different aspects of function theory: domain, range, monotonicity, inverse…