Introduction to the european competence framework for lifelong learning

Prof. Dr. Katja Maaß; University of Education, Freiburg

Why key competences?

  • Young people need a broad set of competences to find fulfilling jobs and become independent, engaged citizens.
  • Our knowledge, skills and attitudes are a major factor in boosting innovation capacity, productivity and competitiveness.
  • Globalisation, structural changes in the labour market and the rapid development of new technologies require us to develop and update skills throughout life.
  • Critical thinking, media literacy and communication skills are some of the requirements to navigate our increasingly complex world.
  • And digital skills, next to literacy, mathematics and science are the basis for lifelong learning.

Foto: EU

Example: Putting aside money for a long holidays

The Webers want to put aside a part of their monthly salaries to safe 20.000 € in eight years. Once the money is their they want to go on a long holiday.

The bank offers an interest of 6%, if they bank the money for eight years. Another bank offers an interest of 5%, if the money is banked for four years. After the four years, the money can be banked again  under conditions which are then valid.

How much money would the Webers have to put aside under the two possibilities? Which possibility should the Webers choose? Give reasons for your choice.

Mathematical competence

Essential knowledge, skills and attitudes related to this competence


  • Necessary knowledge in mathematics includes a sound knowledge of numbers, measures and structures, basic operations and basic mathematical presentations, an understanding of mathematical terms and concepts


  • to follow and assess chains of arguments
  • to reason mathematically
  • to communicate in mathematical language