In this article Dave Vernier describes how he turned the total eclipse on August 21, 2017 into a science, technology, engineering and mathematics (STEM) lesson by taking data. He asked teachers and former teachers to join in collecting data and to share it. The most frequently monitored parameters were illuminance (a measure of light brightness as…

The paper is based on the concepts of the learning society and community-led local development, specifically focused on community education in rural areas of the Czech Republic. The research questions are connected with the identification of objective and subjective conditions for the development of community education and with the development of…

This paper will cover the design of a learning environment as a classroom regarding the Quadratic Equations, Functions and Graphs. The goal of the learning environment offered in the paper is to design a classroom where students will enjoy the process, use their skills they already have during the learning process, control and plan their learning…

Communicating climate information is challenging due to the interdisciplinary nature of the topic along with compounding cognitive and affective learning challenges. Graphs are a common representation used by scientists to communicate evidence of climate change. However, it is important to identify how and why individuals on the continuum of…

In this study, we investigate students' ways of understanding graphing tasks involving quantitative relationships in which time functions as an implicit variable. Through task-based interviews of students ages 14-16 in a summer mathematics program, we observe a variety of ways of understanding, including thematic or visual association, pointwise…

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…

The deep and surface learning approaches are closely related to the students' interaction with learning content and learning outcomes. While students with a surface approach have a tendency to acquire knowledge without questioning and to try to pass courses with minimum effort, students with a deep learning approach tend to use more skills such as…

Previous studies have identified physics students' difficulties with graph slope and area under a graph in different contexts. In this study we compared physics and nonphysics (psychology) students' understanding of graphs; i.e., we evaluated the effects of concept (graph slope vs area under graph), type of question (qualitative vs quantitative),…

More than ever, school districts and other organizations need to provide parents with information about school quality and their school choices. Across the country school choice is expanding in ways that provide opportunities--and challenges--for parents to select the schools that best fit their children's needs. The federal Every Student Succeeds…

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…

Discussion forums are used to support socio-collaborative learning processes among students in online courses. However, complex forum structures and lengthy discourse require that students spend their limited time searching and filtering through posts to find those that are relevant to them rather than spending that time engaged in other…

In this article we propose that educational game design should work to create games as objects-to-think-with--games that engage players in the exploration of and experimentation with personally interesting questions around domain-relevant representations. We argue that this design focuses on developing tools and interactions that the player can…

The aim of this study was to improve pre-service teachers' ability to infer cross-sections of geometric solids with Wolfram demonstrations and Mathematica in Analytic Geometry II course. The study was conducted with third year students studying Elementary Mathematics Education. In this study, the pre-test--post-test control group design was used.…

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…

Unless strong assumptions are made, nonparametric identification of principal causal effects can only be partial and bounds (or sets) for the causal effects are established. In the presence of a secondary outcome, recent results exist to sharpen the bounds that exploit conditional independence assumptions. More general results, though not embedded…