Research has shown that although teachers' knowledge about the subject or pedagogy is important, a teacher's professional vision (including their perceptions and pedagogical decisions) can also have a significant impact on the efficacy of their practice. Firmly grounded in the long-standing field of teacher professional vision research, this…

This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This…

This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five…

Conducting research in multilingual contexts leads to a number of theoretical and methodological challenges. Classical research methods may be hard to apply, leading to the development of original approaches to research. In particular, issues arise concerning validity, interpretation and the relationship between language, mathematics and mental…

This set of papers was originally developed for a conference on Issues and Directions in Mathematics Problem Solving Research held at Indiana University in May 1981. The purpose is to contribute to the clear formulation of the key issues in mathematical problem-solving research by presenting the ideas of actively involved researchers. An…

Five papers discuss the current and potential contributions of information-processing theory to our understanding of mathematical thinking as those contributions affect the practice of mathematics education. It is concluded that information-processing theories need to be supplemented in various ways to more adequately reflect the complexity of…

This special section on cognition and mathematics contains an introduction and 13 articles on advances in the psychology of mathematics learning. The articles focus on how students learn to solve mathematics problems, including arithmetic computation problems, arithmetic word problems, and computer programing problems. (SLD)

This fourth yearbook on research on mathematics teaching in Finland contains five articles, four in English and the fifth in German. "Mathematics as a Cognitive Science" (C. Letteri) examines cognitive aspects related to teaching and learning mathematics, with the focus on the different levels of comprehension and an analysis of basic…

What is meant when people say that "learning environments are increasingly complex"? What is known about the cognitive processing that occurs during complex learning? How can educators provide effective instructional support for students who must learn and apply complex knowledge? These questions, and related issues, have fascinated educators and…

This book is a collection of essays forming a mosaic of theory, research, and practice directed at the task of spreading mathematical knowledge based on the learning theory of constructivism. The authors collectively address questions raised by the observation that current practice frequently generate in the student an aversion to mathematics.…

Twenty-three papers on the use of higher order thinking approaches to improve basic skills education are presented. The key note article is (1) "A Case for Higher Order Thinking" (G. Garcia, Jr.). Under the heading "English Language Arts" are: (2) "Developing an Elementary Writing Program" (K. Contreras); (3)…

The 2006 NCTM Sixty-eighth Yearbook focuses on students' and teachers' learning in statistics centered on a set of activities. Topics include the relation between mathematics and statistics, the development and enrichment of mathematical concepts through the use of statistics, and a discussion of the research related to teaching and learning…

In order for schools to help students with learning difficulties and disabilities improve their achievement in mathematics, educators, researchers, practitioners, and policymakers need a better understanding of the evidence based on what is behind these students' difficulties in learning math. That is just what they will get with this landmark…

This book provides an overview of cognitive approaches to learning disabilities, the theoretical and methodological underpinnings that support them, and the body of knowledge that such work has generated. Part 1 contains the following five papers: "The Educational Perspective" (Wayne P. Hresko and others); "Educational Trends in Learning…

This report resulted from work with primary grade children and teachers in Kankakee, Illinois. Essays by four resource persons and two observers are included, each expressing insights and feelings in order to share ideas with resource persons for primary mathematics teaching in other schools. A main objective is to represent the ways elementary…