Students of mathematics often learn in a procedural way and thus do not develop in-depth conceptual understandings through which they can relate mathematics to other disciplines and the world around them. The aim of the international Platinum project is to verify whether an inquiry-based approach to teaching and learning will help to change this trend for university students. The article describes the main objectives and outcomes of the Platinum project and offers examples of inquiry-based tasks that have been included during distance courses at Masaryk University.