The aim of this longitudinal study was to examine the differences between high- and low-performing students' development of fraction proficiency over a school year and to investigate how those differences were related to instruction in fractions versus instruction in other mathematics topics. The data for this study were drawn from a group of (n =…

Strategy use in single-digit addition is an indicator of young children's numeracy comprehension. We investigated Danish primary students' use of strategies in single-digit addition with interview-based assessment of how they solved 36 specific single-digit addition problems, categorised as either 'error', 'counting', 'direct retrieval' or…

The article is based on reforms in the Danish educational system, encouraging a new focus on learning goals. The use of learning goals is investigated with a teacher in one mathematics class. Inspired by categories from goal theory, different types of students are described regarding their understanding of the usefulness of visible learning goals…

The Danish MINK (Mathematics and Inclusion) project explored inclusive mathematics teaching in regular classes in ordinary public schools, with a focus on teacher professional development and classroom experiments as the main elements. The project started as a reaction to the challenges for practice arising from a political reform. The MINK…

This paper uses a comparative methodology to examine the teaching of abstraction in two mathematics lessons, in Denmark and England. In doing so it aims to extend previous work by the authors, examining the effect of local, cultural issues on the form of teaching in order to understand how these also affect the subject content too. The analysis…

Today's digitalization allows users to interact, collaborate, communicate and create user-generated content. The technology is intuitive and easy to use even for young children, and new learning opportunities emerge. Particularly, students' production as a learning form benefits from digitalization as the new opportunities enable young students to…

The papers in the monograph address different topics related to mathematics teaching and learning processes which are of great interest to both students and prospective teachers. Some papers open new research questions, some show examples of good practice and others provide more information about earlier findings. The monograph consists of six…

Examined is the teaching of mathematics for six to eight year olds in one classroom in Denmark. Examination is made of the textbook; discussion; activities; workcards; supplementary exercises; topic work; and games. Evaluation is designed to help students improve. (MP)

This document consists of a collection of papers presented during the 1979 Utah Inter-Institutional Seminar in Childhood Education. Introductory lectures provide an overview of theories of human development and indicate techniques for understanding child behavior. Self-reflection by teachers and techniques for influencing children are emphasized.…