Interactive Jupyter Notebooks with SageMath in Number Theory, Algebra, Calculus, and Numerical Methods

In 2014, physicists and data scientists F. Perez and B. Granger started an ambitious project Jupyter with goals of developing a powerful, universal and open virtual interactive scientific environment. Today, Jupyter is the most widely used technology for performing scientific calculations, open data analysis, processing, and reporting, but it has also become a very important educational tool. Our article summarizes pedagogical and technological aspects and experience from using Jupyter notebooks with SageMath in our research and teaching university courses dealing with main mathematical domains. The ideas will be introduced and reflected in the framework of STEM education with modern active learning approaches together with current visions of the EU strategy for advancing the economy and sustainable growth of the EU.