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In this paper we present two approaches for enhancing digital study materials for engineering education and show how they can be transformed from basic, static documents into interactive, dynamic documents. Nowadays, non-traditional teaching methods such as flipped learning, blended learning, project-based learning are being introduced into engineering lectures and this trend found its way into mathematics courses. These methods place emphasis more on self-study and out-of classroom preparation before the actual exercise in a classroom setting occurs. They involve usage of additional media that complement classic course textbooks or study materials in printed or digital form. We show that the static digital documents itself can be enhanced by dynamic elements. First, we discuss ways of using well-known LATEX typesetting system for creating dynamic, animated algebraic representations and 2D graphs for visualizing mathematical expressions, exporting and publishing them as a PDF document, which can be made available online. Second, we show how JavaScript-based reactive elements interactively link algebraic with graphical representations in HTML documents, making the study material an active reading experience.

This paper deals with design and implementation of web-based, virtual reality (WebVR) application MathworldVR for teaching higher mathematics concepts that require spatial abilities. It describes the use of methods and approaches of instrumental interaction within VR through direct visual manipulation of input variables of parametrized functions, which shortens the time needed for students to understand the underlying principles of a given mathematical theory. Advantages, disadvantages and limitations of developing VR applications for the web in contrast to native desktop applications are discussed. We outline the utilization of A-Frame framework together with the JavaScript library React for fast VR prototyping. Individual components defining the MathworldVR 3D user interface within virtual environment (VE) are presented and we show how various two handed interaction techniques help in the process of teaching mathematics.

In this paper, we will describe a possible way of learning mathematics at the Technical University of Kosice. The basic idea of our proposal is an implementation of the interactive presentations, 3D visualizations and animations in the functions of several variables. This proposal is realized using Javascript and WebGL and consists of some solved exercises which represent a learning unit. Innovative solutions, which are presented in this paper, contain: links to video tutorials, visualization, help text and animation. This solution offers an innovative look at one of possible way of education.