Geometrography, "alias the art of geometric constructions" was proposed by Emile Lemoine between the late 1800s and the early 1900s. It consisted originally of a system to measure the complexity of ruler-and-compass geometric constructions, capable of: designate every geometric construction by a pair of values that manifests its…

The study and interest of figurate numbers can be observed even in ancient Greece. On the other hand, it becomes very important the historical understanding about an evolutionary process and the particular generalization of such 2D, 3D and m-D figurate numbers and they remain the interest of current scientific investigations. On the other hand, in…

A series of organic chemistry synthesis problem sets were provided to students. Potential solution pathways and strategies were recorded on video by the instructor and provided to students electronically via YouTube. Performance on the end-of-semester synthesis exam showed significant gains, with the average increasing by 13% after the…

Aiming at many problems of school multimedia classroom management, a remote control system for multimedia classroom based on cloud computing is developed. The system includes cloud computing management platform, network switch, single-chip microcomputer and equipment in the multimedia classrooms. It uses VMware desktop virtualization technology to…

This paper presents an overview of gamification research. It introduces a panoramic research map that comprises a research map and keyword maps for each year of publication of research on gamification. The panoramic research map resulted in a detailed view of gamification research: covered areas, types of published papers, gaps, and most…

The labs presented here build on a simple speed of sound activity and models medical ultrasound imaging by demonstrating how multiple reflections propagate in a closed system. A short sound pulse is emitted into a pipe that is closed at one end and contains one or more partially reflecting surfaces within the pipe. The variety of reflections and…

This paper presents the usage of an Excel spreadsheet for studying charged particle dynamics in the presence of uniform electric and magnetic fields. The equation of motion of the charged particle is developed under different conditions and the data is obtained in an Excel spreadsheet under variation of parameters such as the velocity of charged…

With the explosion of multimedia learning environments and the use of digital time-compression algorithms in common software and hardware, we need guidance on how to use this technology without sacrificing quality and learning outcomes. The purpose of the meta-analysis is to examine the existing empirical research literature to derive an overall…

The aim of this research is to propose indicators of epistemic and mediational suitability to assess tasks designed in a mobile learning context, using theoretical and methodological elements of the onto-semiotic approach (OSA) and the SAMR model (substitution, augmentation, modification, and redefinition). With these indicators, 110 tasks…

Although badges are among the most-used game elements in gamified education, studies about their optimal features to motivate learning are scarce. How should a badge be designed to represent an incentive for a specific goal like optimal exam preparation? This study examines usage data of a higher education learning app to determine whether the…

There are many ways to learn how to be entrepreneurs and one of the powerful ways is to learn from successful entrepreneurs. However, it is difficult to reach and interview those entrepreneurs about their best practices in doing business in real lives. Chatbot technology can come into play in mimicking conversation of successful entrepreneurs and…

Undergraduate research experience is the process where undergraduates contribute to the development of a subject field through their inquiry-based learning (IBL). IBL is a student-centered learning strategy. Students work as professional scientists do, through inquiry. This article presents approaches to IBL and practices of an instructor from…

We know little currently about how new digital tools have effected changes in Jewish studies learning environments and processes -- although technologies play a central role in contemporary discussions of learning. This study aims to understand how learners collaboratively interpret Jewish sacred texts using informal online collaborative learning…

In this paper, I discuss undergraduate students' engagement in basic Python programming while solving combinatorial problems. Students solved tasks that were designed to involve programming, and they were encouraged to engage in activities of prediction and reflection. I provide data from two paired teaching experiments, and I outline how the task…

Simulation modeling is an effective tool for solving problems that cannot be explained analytically or when data cannot be collected. This is done by simulating the observed behavior of a problem under study using a computer program. In math education, this can develop knowledge and fundamental competencies of simulation modeling at a higher level…