In order to ensure content validity by covering a broad range of content domains, the testing times of some educational large-scale assessments last up to a total of two hours or more. Performance decline over the course of taking the test has been extensively documented in the literature. It can occur due to increases in the numbers of: (a)…

Besides homework assignments, optional quizzes are a commonly used means for formative assessment in tertiary mathematics education. Instructors, for example, implement these to help students detect gaps in their understanding, or to foster a continuous and active engagement with the content. The extent to which these goals are reached, however,…

When learning about fractions, teaching usually follows certain topics -- e.g. part of the whole, fraction equivalence, and size comparison. Not yet answered is whether students' conceptual and procedural knowledge of fractions is coherent between those topics. To answer this question, we performed a latent profile analysis of data from N = 1005…

Mathematics plays a significant role in many study programs. However, several studies show deficiencies and a decline in beginning undergraduates' skills in mathematics in many content domains. However, it remains unclear whether they have improved in so-called process competencies like modeling, mathematical reasoning, or using different…

Tests in educational contexts often start with easy tasks, assuming that this fosters positive experiences--a sense of control, higher valuing of the test, and more positive and less negative emotions. Although intuitive and widespread, this assumption lacks an empirical basis and a theoretical framework. We conducted a field experiment and…

In Germany, the Abitur is the highest qualification granted at the end of secondary education after 12 or 13 years of schooling; it provides a general university entrance qualification. Traditionally, written and oral examinations are required to obtain the Abitur. Until 1990, there were mainly decentralized examinations in mathematics in West…

Assessing students' (mis)conceptions is a challenging task for teachers as well as for researchers. While individual assessment, for example through interviews, can provide deep insights into students' thinking, this is very time-consuming and therefore not feasible for whole classes or even larger settings. For those settings, automatically…

Research on the multimedia effect in testing indicates that static representational pictures (RPs) and, potentially, dynamic RPs that further subdivide the picture into segments may support students' mental processing. This might be especially relevant for mathematical word problems that pose high mental demands in a multistage solution process.…

Context: Students with special educational needs in the area of learning (SEN-L) attend vocational trainings to be provided with qualifications for the labor market. Competences in arithmetic operations and comparing quantities such as weights and lengths are indispensable for obtaining a vocational qualification. Therefore, the study investigates…

In this article, we outline the process undertaken to establish and evaluate a mathematics centre at the Ravensburg-Weingarten University of Applied Sciences. Firstly, we outline some of the current research into centre evaluation. Secondly, we give a brief overview of our centre, including details on staffing, teaching format, goals, etc.…

The research presented in this article is a systematic review of the literature on the assessment of mathematical modeling in the setting of mathematics education published in the previous five years. This research has compiled the current best information from around the world to offer an overview of the assessment of mathematical modeling for…

We analyze the impact of non-monetary incentives on performance in a mathematics test in secondary schools. While we apply predetermined incentives in two treatments, in a third treatment, pupils can choose one from four incentives -- a medal, homework voucher, parent letter or surprise. Overall, we find no impact of non-monetary incentives on…

This study explores benefits of studying two related subjects, mathematics and physics, in teacher education. German teacher students study two subjects as a major, which allows for investigating how the development of content knowledge in one subject, mathematics, benefits students' content knowledge in the other subject, physics. The sample…

The present study investigated the development of n = 129 early childhood teachers' mathematics content knowledge, mathematics pedagogical content knowledge, mathematics anxiety, and enjoyment of mathematics over 4 years from teacher training to practice. Latent autoregressive models with cross-lagged effects were applied. Scalar measurement…

Families are active agents in school systems and apply different strategies of educational advantage to help their children succeed at school. These strategies are planned and enacted by families with their children in mind, but they are always a response to the broader education system design. This article explores how through their strategies…