In order to understand mathematical relationships, **motivation** and **self-control** of the learning process play very important roles. realmath.de makes it possible to experience learning as a self-controlled process. When working on interactive dynamic worksheets, students can move freely within a given framework according to their own learning pace. You develop responsibility for your individual learning progress.

A **classroom differentiation** arises automatically, since realmath.de provides differently difficult tasks. For example, higher-performing students can deal with more complex tasks, while lower-performing students can gain confidence through intensive practice. Teachers are relieved of the direct correction - this is done by the computer - and can thus specifically address and support weaker students in the classroom.

realmath.de promotes learning through active action. Dynamic elements enable a close connection between acting, observing and generating guesses. The observation of dynamic processes leads to hypotheses that can be checked using the interactive elements. In this way, in-depth learning on objects to be seen leads to understanding. The dynamic variation of drawings supports the **development of basic ideas**, which is necessary for understanding. This prevents a premature and overly narrow definition of the term from manifesting itself. On this basis, learners develop the **ability** to apply what they have learned to similar or new situations.

Example 1: __Interpreting fill graphs__

Example 2: __Variation of problems__

Example 3: __Comparing fractions__