In this paper we report our findings from a study, in which 177 undergraduate pre-service teachers had to verify a statement of elementary number theory at the onset of a lecture serving as a bridging course. The answers were categorized to investigate the qualities of the given argumentations. We also separated the results of three different…

We report on a long-term study which was executed in a German secondary school with 128 eights graders (ages 14 to 15) in four different classes. Two of these classes served as control groups. The mathematics lessons of the other two classes (treatment groups) were frequently enriched by distinguished phases in which structured argumentation and…

Research on scientific reasoning plays an essential role at the intersection of cognitive development and science education. As only few paper-pencil-tests exist to assess scientific reasoning abilities of elementary school children, the goal of the current study was the development of a new reliable and valid instrument. We focused on the…

To support university students' understanding of mathematical proofs, pictures accompanying text are frequently used in textbooks as well as in lectures. However, it is unclear if such pictures influence the individual's reading behaviour. By recording the eye movements of eight mathematicians, we investigated whether and how adults with high…

Teacher cognition is seen as an important factor for the quality of instruction and, accordingly, student learning of a subject. However, in-depth research on these relations can only be done if a sound theoretical model for subject-specific teacher cognition (knowledge and competence/practical skills) and corresponding measures are available.…

Technology has been part of the language learning process, both inside and outside the classroom, for decades, helping to bridge the gap between different contexts of learning. At the same time, the concept of lifelong-learning has widened our understanding of what learning is, what different forms it can take, and of the importance of considering…

Mathematical proof is one of the most difficult topics for students to learn. Several empirical studies revealed different kinds of students' problems in this area. Our own research suggests that students' views on proofs and their abilities in proving are significantly influenced by their specific mathematics classrooms. However, the reasons for…

A study reanalyzed the 1977 original form of the Self-Directed Learning Readiness Scale (SDLRS) developed by Guglielmino. It questioned whether there is an intracultural and intercultural factorial consistency, whether raters would reconfirm the eight-factor solution, and whether raters would reconfirm the main characteristics of a "highly…

The structure and validity of Guglielmino's Self-Directed Learning Readiness Scale (SDLRS) have been examined repeatedly. In 1979, Mourad and Torrance investigated the construct validity of the SDLRS in a study involving a random sample of 684 of the 1,500 students enrolled in the University of Georgia's Program on Gifted/Talented Education. In…

The Mann-Suiter Developmental Screening Tests were administered individually to 79 German and American first grade students in their native languages. The subtests, which examined minimum skills necessary for school success, were used to develop a profile of each child's strengths and weaknesses in visual, auditory, and language areas. Children…

In many countries throughout the world, efforts to articulate the knowledge, skills, and abilities required of workers have translated into the development of organizations with the specific charter to establish industry-based skill standards with attendant new and/or expanded forms of certification of competencies. The new emphasis on skill…