This open access book presents a structural model and an associated test instrument designed to
provide a detailed analysis of professional competences for teaching mathematical modelling.
The conceptualisation is based on the COACTIV model which describes aspects areas and facets
of professional competences of teachers. The manual provides an overview of the essential
teaching skills in application-related contexts and offers the tools needed to capture these
aspects. It discusses the objectives and application areas of the instrument as well as the
development of the test. In addition it describes the implementation and evaluates the quality
and results of the structural equation analysis of the model.Teaching mathematical modelling is
a cognitively challenging activity for (prospective) teachers. Thus teacher education requires
a detailed analysis of professional competence for teaching mathematical modelling. Measuring
this competence requires theoretical models that accurately describe requirements placed upon
teachers as well as appropriate evaluation tools that adequately capture skills and abilities
in this field. This book presents an instrument that measures the professional competences in a
sample of 349 prospective teachers.
