In mathematical whole-class discussions, teachers can build on various student ideas and develop these ideas toward mathematical goals. This requires teachers to make sense of their students' mathematical thinking, which evidently involves mathematical thinking on the teacher's part. Teacher sense-making of student mathematical thinking has been…

This study explored the relationships between task beliefs about the empty number line (ENL), mathematical ability, gender, and voluntary ENL use in multi-digit subtraction and addition. One hundred twenty-three Dutch third-grade students and nine teachers from six schools participated in this study. The multilevel path analysis showed that task…

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…

Assessment is a crucial factor in the implementation of curriculum reform. Little is known, however, on how curriculum changes can be reflected adequately in assessment, particularly if the reform concerns process skills. This issue was investigated for the case of assessing mathematical thinking in a mathematics curriculum reform for…

In 1968, Hans Freudenthal launched the journal "Educational Studies in Mathematics." This paper describes the events leading to the foundation of this journal. It turns out that his wife, Suus Freudenthal, deserves more credit for her husband's interest and achievements in mathematics education. The couple was interested in education…

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…

Based on insights into the nature of vocational mathematical knowledge, we designed a computer tool with which students in laboratory schools at senior secondary vocational school level could develop a better proficiency in the proportional reasoning involved in dilution. We did so because we had identified computations of concentrations of…

Subtractions of the type M - S = ? can be solved by various strategies, including subtraction by addition. In this study, we investigated children's use of subtraction by addition by means of reaction time analyses. We presented 106 third to sixth graders with 32 large non-tie single-digit problems in both subtraction (12 - 9 = .) and addition…

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…

The most influential factors reported are: the activities of the Commission on the Modernization of the Mathematics Program, social change, and change of the secondary educational system. (MP)

This article describes a six-week period of activities of a male freshman at a Dutch Teacher Training College, including the lessons he attended and how he experienced them, his practical work, and the paper he wrote following a didactic assignment. (MN)

Discusses the interactions of several students involved in a Dutch research project studying student achievement in elementary school mathematics. Results showed progress by most children, particularly those with low scores on the pretests. (TW)

Gifted secondary students not only solved problems better, faster, and with less assistance than average pupils, but also processed information in a different fashion. (MNS)

Describes a preservice program to prepare teachers for a curriculum based on the realistic approach. The program appeared successful in changing student teachers' views of mathematics education towards this more inquiry-oriented approach and in promoting effective teacher behavior in classrooms. Only a small number of teachers recognized the…

Investigates processes involved in visual estimation and processes of judgment in visual estimation situations involving proportional reasoning. Exposure to a unit in the Agam project, designed to enhance visual estimation capabilities, resulted in changes in the nine-year-old subjects' strategies, reflecting processes by which children overcome…