Heiner Klock – författare

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 thataccurately 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.

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 thataccurately 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.

Heiner Klock untersucht, inwiefern sich die adaptive Interventionskompetenz in mathematischen Modellierungsprozessen in der hochschulischen Lehrerausbildung verbessern lässt. Er stellt eine Interventionsstudie mit 169 Mathematik-Lehramtsstudierenden vor, die in einem fachdidaktischen Seminar mithilfe von Praxiselementen gefördert wurden. Anhand eines IRT-Ansatzes weist er nach, dass es sich bei der adaptiven Interventionskompetenz um ein zweidimensionales Konstrukt, bestehend aus Diagnose- und Interventionskompetenzen, handelt und dass eine Förderung im Rahmen der hochschulischen Lehrerausbildung möglich ist. Mithilfe von linearen Regressionen zeigt er Zusammenhänge der adaptiven Interventionskompetenz mit Überzeugungen und Selbstwirksamkeitserwartungen in mathematischen Modellierungsprozessen auf.Heiner Klock promovierte an der Fakultät für Mathematik und Informatik der Julius-Maximilians-Universität Würzburg. Derzeit ist er als Mathematik- und Physiklehrer am Gymnasium tätig.