• Startseite
  • Forschung
  • Anwendungen
    • Überblick

    • Kitaplatzvergabe
    • Schulplatzvergabe
    • Referendariat

    • Lebensmittelspenden
  • Medien
  • Kontakt

Application

Teacher traineeship

Assigning trainee teachers to training seminars and schools when many constraints apply at once.

The problem

In Germany, newly qualified teachers complete a practical traineeship (Referendariat), an entry-level labour market. Each year, many trainees must be assigned to training seminars and schools. Many constraints apply at once: subject combinations must match a school’s needs, seminars have limited capacity, and personal circumstances such as place of residence or family should be taken into account. If these constraints are handled one after another, assignments easily arise that could be improved by a simple swap.

The procedure

Teacher traineeship allocation: trainees are assigned to training seminars and schools subject to subject combinations, seminar capacity and school demand by subject at the same time. Trainees subjects Seminars capacity Schools demand by subject
Schematic: trainees are assigned to schools via training seminars. Two assignments are highlighted.

For the conditions in Baden-Württemberg, a Top Trading Cycles mechanism adapted to these multidimensional constraints can be shown to guarantee stable and Pareto-efficient assignments. No one can be made better off without making someone else worse off, and justified claims to a place are not overridden.

In short

  • All constraints are considered simultaneously rather than in sequence.
  • No swap between two trainees could make both better off.
  • Outcomes are transparent and can be explained to those affected.

The analysis is based on a comparison of allocation practice in Hesse and Baden-Württemberg.

Publications

  1. 1
    Matching Practices for Teaching Positions in Public Schools in Germany
    Matching-in-Practice Country Profile 28 (2019) · T. Klein, P. vom Baur

Contact

Questions about teacher traineeship allocation: [email protected]

Kontakt [email protected]
Prof. Dr. Thilo Klein
Hochschule Pforzheim
Fakultät für Wirtschaft und Recht
Tiefenbronner Straße 65
75175 Pforzheim
© 2026 Thilo Klein · Impressum und Datenschutz Nach oben ↑
Contact [email protected]
Prof. Dr. Thilo Klein
Pforzheim University
Faculty of Business and Law
Tiefenbronner Straße 65
75175 Pforzheim, Germany
© 2026 Thilo Klein · Legal notice and privacy Back to top ↑