In this article, we discuss the process of understanding continuity, which is one of the most fundamental concepts in mathematics. The continuity of mathematical functions is formally defined in terms of abstract symbols and operations. This representation of continuity is very abstract or dis-embodied. Therefore, it is difficult to acquire a…

Young children, students, and adults may have alternative ideas about the motion of the Sun and stars as we observe them in the sky. However, a good understanding of this apparent motion is essential as a starting point to study more advanced astronomical concepts, especially when these include astronomical observations. In this paper, we describe…

Despite the rapid development of motion-based technologies, their role in embodied learning remains ambivalent. This study aimed at investigating the potential added value of motion-based technologies in the context of geometry elementary education. An explanatory sequential design was adopted, composed of two phases. First, an experiment was…

While a vast body of research has identified difficulties in students' understanding about forces and acceleration and their related alternative conceptions, far less research suggests ways to use students' alternative conceptions to enhance conceptual understanding of a specific fundamental concept. This study focused on distinguishing between…

Smartphone-based experimental exercises were incorporated as part of the homework problems in an introductory mechanics course at a university. A quasi-experimental field study with two cohorts design was performed to measure the impact of such exercises on motivation, interest and conceptual understanding. The empirical results on learning…

The difficulties students have in blending mathematics and physics are here analyzed, by focusing on the issue of a convergent series. We present an experimental and a theoretical analysis of some phenomena which can be investigated employing series, as the bouncing marble and Zeno's paradox of Achilles and the turtle. Measurements were carried…

The persistence of students' misconceptions about motion illustrates the enormous difficulty that teachers face in their attempts to overcome these with traditional physics instruction. An understanding of students' ideas about motion and ways to incorporate them into successful instructional approaches can be obtained from an analysis of…

Describes a systematic investigation of the understanding of the concept of acceleration among students enrolled in a variety of introductory physics courses through individual demonstration interviews. Describes and identifies some conceptual difficulties and discusses some implications for instruction. (Author/SK)

The 12th iteration of the International Conference on Educational Data Mining (EDM 2019) is organized under the auspices of the International Educational Data Mining Society in Montreal, Canada. The theme of this year's conference is EDM in Open-Ended Domains. As EDM has matured it has increasingly been applied to open-ended and ill-defined tasks…