Research on intelligence and competence has developed widely independent of each other. The present paper aims at relating these traditions and at integrating the dominant models to fill gaps in the respective theories. We test the structural models derived from this integration in a series of confirmatory factor analyses and a latent moderated…

The ability to offer constructive feedback to students concerning their errors is an indispensable requirement for mathematics teachers, for the purpose of providing cognitively challenging learning opportunities. However, if they are to react adequately, teachers need to identify student errors immediately. The fast perception of student errors…

Rating scales are a popular item format used in many types of assessments. Yet, defining which rating is correct often represents a challenge. Using expert ratings as benchmarks is one approach to ensuring the quality of a rating instrument. In this paper, such expert ratings are analyzed in detail taking a video-based test instrument of teachers'…

Recent research on the professional competencies of mathematics teachers, which has been carried out during the last decade, is characterized by different theoretical approaches on the conceptualization and evaluation of teachers' professional competencies, namely cognitive versus situated approaches. Building on the international IEA Teacher…

The study presented in the paper has the following goals. The first is to review and compare teacher competence frameworks developed in Eastern (Chinese) and Western (German) contexts, exemplified for the domain of mathematics. Major similarities of the two contexts could be reconstructed in the conceptualization of teacher competence as a…

Research on teacher noticing in the field of mathematics education research has increased in the last decade; however, only a few studies have investigated the social and cultural impact on teachers' noticing. This paper describes results of an international comparative study on (in-service) mathematics teachers' professional noticing in China and…

The paper presents results from a computer-based assessment in which 171 early career mathematics teachers from Germany were asked to anticipate typical student errors on a given mathematical topic and identify them under time constraints. Fast and accurate perception and knowledge-based judgments are widely accepted characteristics of teacher…

Research on the evaluation of the professional knowledge of mathematics teachers (comprising for example mathematical content knowledge, mathematics pedagogical content knowledge and general pedagogical knowledge) has become prominent in the last decade; however, the development of video-based assessment approaches is a more recent topic. This…

Teacher competence is a multi-dimensional construct that includes beliefs as well as knowledge. The present study investigated the structure of prospective preschool teachers' mathematics-related beliefs and their relation to content knowledge and pedagogical content knowledge. In addition, prospective preschool teachers' perception and planning…

This paper addresses an important task teachers face in class: the identification and support of creative and high-achieving students. In particular, we examine whether primary teachers (1) have acquired professional knowledge during teacher education that is necessary to foster creativity and to teach high-achieving students, and whether they (2)…

In recent years, an increasing number of research projects have been dedicated to competency assessment not only in school and vocational education, but also in higher education (Blömeke, Zlatkin-Troitschanskaia, Kuhn, & Fege, 2013). Compared to competency assessment in schools, competency assessment in higher education still is…

Much research has been conducted on exploring teacher learning and constituting Continuous Professional Development (CPD) designs for teachers. Yet, little is known about appropriate design principles of CPD for teacher trainers/multipliers who in turn are supposed to provide CPD for teachers. The German Center for Mathematics Teacher Education…