The residue number system (RNS) has been an important research field in computer arithmetic for many decades, mainly because of its carry-free nature, which can provide high-performance computing architectures with superior delay specifications. Recently, research on RNS has found new directions that have resulted in the introduction of efficient…

This article portrays action research conducted in relation to students' faulty use of the equality sign in a Grade Four mathematics classroom in Sweden. Substantial background on teacher-researcher collaboration that prepares ground for the action research is offered. Drawing on cultural-historical and activity theory perspectives, the conduct of…

Interactions between conceptual and procedural knowledge influence the development of mathematical competencies. However, after decades of research, these interrelations are still under debate, and empirical results are inconclusive. The authors point out a source of these problems. Different kinds of knowledge and competencies only show up…

How can teachers learn what they need to know? Every community of educators, regardless of field or specialization, can benefit from being well informed about current research findings. A considerable amount of mathematics education research exists to inform teachers and administrators about teaching and learning mathematics. Research can show…

Reviews the arguments for the value of practical number apparatus and examines the practical activities for which it is used to try to explain why the theoretical benefits do not seem to be translating into practice. (Author)

Examines the concept of number sense in mathematics learning, compares this concept to that of phonological awareness in reading, and urges application of existing research to improving mathematics instruction for students with mathematical disabilities. Reviews research on building automaticity with basic facts, adjusting instruction to address…

In a teaching experiment, I examined a theoretical model of mathematics teaching and learning in practice. In this paper I focus on how the model can guide the teacher's thinking about students' understandings and the generation of activities that foster intended transformations in those understandings. As a research-teacher I taught, twice a week…

The paper is focused on recent researches in neuroscience and developmental psychology regarding mathematical abilities of infants. A model that tries to explain these findings is developed. The model underlies the mental operations that could be systematically trained to generate efficient school learning. The model is built from a cognitive…

There is growing interest in the possibilities of combining research approaches in education and social sciences, as dissatisfaction mounts with the limitations of traditional mono-method studies and with the schism between quantitative and qualitative methods. This book argues the case for combining multiple research methods, and provides…

Following a description of findings from published research on computer assisted instruction with learning-disabled students, sources of software reviews and suggested criteria for software evaluation are provided. Stressed are the importance of a program's technical and instructional adequacy and the appropriateness of the materials for an…

This book re-examines the dichotomy between the everyday and the disciplinary in mathematics and science education, and explores alternatives to this opposition from points of view grounded in the close examination of complex classroom events. It makes the case that students' everyday experience and knowledge in their entire manifold forms matter…

This paper reports on five related studies on upper elementary school students' beliefs about the role of real-world knowledge in solving mathematical word problems, and on possibilities of overcoming their unrealistic mathematical modeling. Findings from the first study of 75 Belgian fifth-grade students showed that as a consequence of current…

The first part of this two-part book on play in public education, contains chapters authored by 23 educators, most of whom had been colleagues or students of Professor Margaret B. McFarland to whose memory the book is dedicated, addresses the need to integrate child development research with classroom practice in order to provide developmentally…

This book of 16 chapters by various contributors is intended to assist teachers to translate theory into practical classroom strategies for mainstreaming children with disabilities. It includes guidelines for the detection of 101 special needs and more than 1000 corrective strategies. Chapters have the following titles and authors: "Teaching All…

This book contains 16 papers on the theory, research, and practice of adult numeracy development. The following papers are included: "The Numeracy Challenge" (Iddo Gal); "Numeracy, Mathematics, and Adult Learning" (Diane Coben); "Building a Problem-Solving Environment for Teaching Mathematics" (Peter Kloosterman, Bin Hassan Mohamad-Ali, Lynda R.…