The balance model is often used for teaching linear equation solving. Little research has investigated the influence of various representations of this model on students' learning outcomes. In this quasi-experimental study, we examined the effects of two learning environments with balance models on primary school students' reasoning related to…

This article reports on a "post hoc" study using a randomised controlled trial with 31,842 students in the Netherlands and an instrument consisting of 21 paired problems. The trial showed a variability in the differences of students' results in solving contextual mathematical problems with either a descriptive or a depictive…

We examined Differential Item Functioning (DIF) and the size of cross-cultural performance differences in the Programme for International Student Assessment (PISA) 2012 mathematics data before and after application of propensity score matching. The mathematics performance of Indonesian, Turkish, Australian, and Dutch students on released items was…

At the start of mathematics education children are often presented with addition and subtraction problems in the form of pictures. They are asked to solve the problems by filling in corresponding number sentences. One type of problem concerns the representation of an increase or a decrease in a depicted amount. A decrease is, however, more…

In this paper, we develop an information distortion model (IDM) of social class differences in self-beliefs and values. The IDM combines psychological biases on frame-of-reference effects with sociological foci on ability stratification. This combination is hypothesized to lead to working-class children having more positive math self-beliefs and…

Background: Mathematics achievement is related to positive and negative emotions. Pekrun's control-value theory of achievement emotions suggests that students' self-concept (i.e., self-appraisal of ability) may be an important mediator of the relation between mathematics achievement and emotions. Aims: The aims were (1) to investigate the…

Studies in the field of learning analytics (LA) have shown students' demographics and learning management system (LMS) data to be effective identifiers of "at risk" performance. However, insights generated by these predictive models may not be suitable for pedagogically informed interventions due to the inability to explain why students…

This paper examines which configuration of teaching activities maximizes student performance. For this purpose a nonparametric efficiency model is formulated that accounts for (1) self-selection of students and teachers in better schools and (2) complementary teaching activities. The analysis distinguishes both individual teaching (i.e., a…

Recent events have led to an increased interest in emerging infectious diseases. This article applies various deterministic models to the SARS epidemic of 2003 and a measles outbreak in the Netherlands in 1999-2000. We take a historical approach beginning with the well-known logistic curve and a lesser-known extension popularized by Pearl and Reed…

Evaluated an experimental program in which students were taught to design models as a tool in the learning of percentages and compared results with outcomes from a control group in which teachers directly provided models. Results for 121 fifth graders in The Netherlands show significantly better performance in experimental condition than in the…

Focused on two fifth graders in the Netherlands and studied two approaches to working with models in primary mathematics education: providing models versus designing models in coconstruction. Findings suggest that understanding may be improved by models students made themselves, and that students of this age are able to design models working…

Studied the teaching and learning of fractions in two matched groups of 10 9-10-year-olds in the Netherlands. In the experimental group, fractions were introduced using the bar and number line as mental models, while the control group used fair sharing and the circle model. The experimental group showed more proficiency in fractions after 1 year.…

This bulletin presents research findings about the interpersonal relationships between science and mathematics teachers and their students. This research is based on studies that used the Questionnaire on Teacher Interaction which gathers data on students' and teachers' perceptions of interpersonal teacher behavior. A reproducible copy of the…

Presents an alternative to the research-development-diffusion model of mathematics education based on an integration of curriculum research and design embedded in educational development. Explicates the characteristics of developmental research and discusses its methodological aspects. (53 references) (Author/MKR)

Many mathematics departments usually teach a variety of courses for students from different science departments and even from different faculties. These "service" courses are usually taught in the same way as the courses for mathematics major students. However, in science, because of the need to better analyse and interpret experimental…