Nowadays, digital tools for mathematics education are sophisticated and widely available. These tools offer important opportunities, but also come with constraints. Some tools are hard to tailor by teachers, educational designers and researchers; their functionality has to be taken for granted. Other …

In this chapter, I look back at the implementation of W12-16, a major reform of mathematics education in the lower grades of general secondary education and pre-vocational secondary education in the Netherlands including all students aged 12–16. The nationwide implementation of W12-16 started in 1990 …

Visual Thinking (VT) is concerned with the use of visual resources (diagrams, simple drawings, short texts) to represent, organize or communicate ideas or contents. VT aims to favor the understanding of concepts to `translate' to a visual representation a content or process. Lower thinking skills to …

Learning mathematical thinking and reasoning is a main goal in mathematical education. Instructional tasks have an important role in fostering this learning. We introduce a learning sequence to approach the topic of integrals in secondary education to support students mathematical reasoning while participating …

In ancient times, music education was an essential part of mathematics education: in the Quadrivium mathematics, geometry, music and astronomy formed a four-unit whole. In China, among others, Confucius emphasized the importance of music education and the connection between poetry, law and music.

Numeracy and mathematics education in vocational education is under pressure to keep up with the rapid changes in the workplace due to developments in workplace mathematics and the ubiquitous availability of technological tools. Vocational education is a large stream in education for 12- to 20-years-olds …

This paper is a summary paper of the Thematic Working Group (TWG) on Adult Mathematics Education (AME). The theme AME made its first appearance on CERME11 and in this paper we provide an overview of the growing and blossoming field of AME and the results of the working group. The main themes associated …

This paper is a discussion paper to support an Erasmus+ project with the name Common European Numeracy Framework (CENF) (for adults) which will start at the end of the year 2018. In the first months of 2019 the team with participants from The Netherlands, Austria, Spain and Ireland will be in the process …

We are well into the 21st century now and the urgency for lifelong learning is growing especially regarding numeracy. There are major societal and policy pressures on education to prepare citizens for a complex and technologized society, in literature referred to as “21st century skills” (Voogt & ParejaRoblin, …

It has been argued that teachers need practical principled knowledge and that design research can help develop such knowledge. What has been underestimated, however, is how to make such know-how and know-why useful for teachers. To illustrate how principled knowledge can be “practicalized”, we draw on …