This book synthesizes the implications of research done by the National Center for Research in Mathematical Sciences (NCRMS) by integrating two bodies of research: the study of teaching and the study of learning mathematics. This research was organized around content domains and/or continuing issues in education such as equity and assessment of…

This chapter builds on the idea that classrooms that promote understanding can and do exist. Elaborating upon this idea the question is raised, "In what ways can many more classrooms be developed so that all students have the opportunity to learn with understanding?" The construction of classrooms that promote understanding is dependent upon…

This paper draws on data from a participant action research project with adult basic mathematics students in inner-city areas of south London. The students all attended general basic mathematics courses and most of the students also attended literacy courses. The data challenges the view that curricula for basic mathematics should be determined by…

This paper discusses an approach to the study of algorithms which values students' construction of nonstandard algorithms but also emphasizes the essential roles of the teacher and instructional activities in supporting the development of students' numerical reasoning. Episodes are presented from a 3rd grade classroom in which a 9-week teaching…

This paper describes how one group of students came to reason about data while developing statistical understandings related to exploratory data analysis. Episodes taken from a 7th grade classroom in which a 12-week teaching experiment was conducted are presented. One of the goals of the teaching experiment was to investigate ways to support…

The Third International Mathematics and Science Study (TIMSS) and its results present an opportunity for educators all over the world to examine what is being done in their educational systems and how students achieve in a variety of math and science subjects. This CD-ROM serves as an electronic resource connected to TIMSS. The content information…

Results from the Third International Mathematics and Science Study (TIMMS) have recently captured the attention of the United States and once again focused the nation on matters of mathematics teaching and learning. In general, the TIMSS results indicate a pervasive and intolerable mediocrity in mathematics teaching and learning in the middle…

This annotated bibliography identifies the English language resources endorsed by Alberta, Canada and all Western Canadian Protocol (WCP) jurisdictions implementing The Common Curriculum Framework for K-12 Mathematics Grade 10 to Grade 12. The WCP resources in this bibliography were selected through a collaborative review process based on their…

This book contains volume 1 of the proceedings of the 23rd annual meeting of the International Group for the Psychology of Mathematics Education (PME) held October, 2001 in Snowbird, Utah. Papers include: (1) "Opening the Dimensions of Mathematical Capability: The Development of Knowledge, Practice and Identity in Mathematics Classrooms"…

This two volume collection of proceedings contains working group reports, research reports, oral reports, poster session reports and discussion group reports presented at PME-NA 21. Only the plenary and research reports are full reports; the others are brief abstracts. Full reports include: (1) "Representation, Vision and Visualization:…

This paper is based on the on-going research work and teaching carried out in the Mathematics Foundations Course (MFC) at Goldsmiths College, University of London. It is argued that teaching adult students mathematical investigation has given insight into the way they learn mathematics better and removes the barriers of mathematics phobia. It…

A 3-year high school program based on functional mathematics (FM) benefits all students, regardless of career goals, by providing a strong background for students entering the workforce and for those moving directly into postsecondary education. A high school curriculum that helps all students master FM would effectively address issues of both…

This paper presents the evaluation of a program on the use of interactive video technology to teach mathematics in middle schools. The implementation of the Adventures of Jasper Woodbury mathematics program involved 17 math teachers from eight schools in the Chicago area from September through November, 2000. The teachers were trained at…

Methods of effectively teaching algebraic thinking in elementary schools as well as secondary schools is the topic of the following 19 papers. Papers include: (1) "Transforming Algebra from an Engine of Inequity to an Engine of Mathematical Power by 'Algebrafying' the K-12 Curriculum" (J. Kaput); (2) "Developing a Coherent and…

This study examined the mathematics achievement of elementary school students to determine whether a district-developed National Council of Teachers of Mathematics (NCTM) standards-based mathematics curriculum taught by trained teachers was more or less effective than the traditional curriculum that was being used. A nonrandom group of 13 teachers…