In educational research, teaching quality is extensively studied because of its role of a mediator between teacher characteristics and student learning. However, empirical evidence on differences between video and live scoring of teaching quality is rare. In the present study, thirty lessons from 15 secondary mathematics classrooms in a German…

Fractions are a fundamental component of the school mathematics curriculum, and most students achieve proficiency in these concepts during their elementary education. However, a significant proportion of students still encounter challenges in this area even after entering secondary education, necessitating additional support to prevent further…

The teacher's use of representations is a crucial aspect of instructional quality in mathematics education, given their pivotal role in facilitating mathematics learning. However, in our international research community, perspectives on what constitutes high-quality use of representations may vary. This cross-cultural study aims to explore whether…

The integration of dynamic visualisations, feedback formats and digital tools is characteristic of state-of-the-art digital mathematics textbooks. Although there already is evidence that students can benefit from these technology-based features in their learning, the direct comparison between the use of a comparable digital and printed resource…

An international comparative study of mathematics textbooks is essential in identifying trends in international mathematics education, developing textbooks and improving the quality of teaching and learning in mathematics. This study analyses and compares the contents of the probability and statistics curricula in the high school textbooks of…

The transition from school to university is a challenging process for many students which is reflected in high dropout and low examination success rates during the first year at university. Qualitative studies have found hints that students' beliefs play an important role during the transition. Due to their dialectic nature with cognitive as well…

After decades of being conceptualised solely as a lack of interest, boredom has recently gained attention as an important construct in its own right. However, there is still a lack of studies focusing on the relations and developmental interplay of these two closely related constructs. This study examines the overall long-term developmental…

Based on an opportunity-use model of instructional quality, this study investigates the extent to which subject-specific instructional quality rated by experts is reflected in students' assessments of their own learning and understanding, and how students' perceptions predict their achievement. The analyses used data from a German-Swiss sample of…

The flipped classroom concept is the reversal of the traditional teaching activities so that new content is first worked through by the learners independently and then the joint lesson time is used to practise and consolidate this content. This concept can result in didactic advantages. However, it is assumed that the concept also places increased…

The following survey study uses a quantitative research design to investigate motivational and affective aspects of students (aged 14-17) in a mathematical workshop on graph theory. Motivational and affective aspects are related to heart rate measurement (using the digital medium of a pulse watch) in mathematical knowledge development processes in…

The transition from school to university mathematics is a challenging process for many students, which is reflected in high dropout rates during the first year at university. Using mediation analysis, we want to shed light on the role of students' attitudes towards mathematics--especially their interest in mathematics and their mathematical…

Background: Recent research on boredom suggests that it can emerge in situations characterized by over- and under-challenge. In learning contexts, this implies that high boredom may be experienced both by low- and high-achieving students. Aims: This research aimed to explore the existence and prevalence of boredom due to being over- and…

In this paper, we provide an overall perspective on the teaching and learning of discrete mathematics. Our aim is to highlight what research has been conducted in this area and to connect it to existing research ideas for future work. We begin by characterizing discrete mathematics and its role in the school curriculum, highlighting themes,…

The COVID-19 pandemic has confronted mathematics teachers with the challenge of developing alternative teaching practices--in many cases at a distance through digital technology--because schools were closed. To investigate what distance practices in secondary mathematics education have emerged and how teachers experienced them, we set out online…

In this paper, the authors discuss their experiences with ungrading at a small public university in the U.S. and a large public university in Germany. The courses described are Calculus 1 and a content course for pre-service secondary teachers of mathematics. The professors teach differently: one with lecture, the other with inquiry-based…