An experienced mathematics teacher in a rural high school in the United States was studied as she first implemented a reform calculus curriculum. Her instruction was compared to her previous practice using a curriculum not constructed with the reform movement in mind. Despite her early attempts to make her instructions more student-centered, the…

The following article gives a brief account of some empirical research done in the 1980s in the UK by the present author with his colleague, Ibrahim Abdel-Ghany of Minia University, Egypt. At the time both researchers were working at the University of East Anglia at Norwich, England. This work is partly based on empirical arguments, and on…

Since 1990, the January issue of "Teaching Pre K-8" has highlighted a school visit by the president of the National Council of Teachers of Mathematics. This article discusses Cathy Seeley's visit to a 6th grade classroom at the J. E. Pearce Middle School in Austin, Texas, where she participated in a math activity from the Connected…

Educational reform centres on changing teacher behaviour, as it is teachers who filter through the curriculum to learners. Educational reform could therefore be viewed as reforming or changing teacher behaviour. This article investigates some of the factors influencing teachers' behaviour namely knowledge, attitude and views and beliefs. The…

Practical and engaging, this book contains 21 case studies that help students apply curriculum theory to classroom reality. Each case is authored by an in-service teacher, reflecting on ways to improve instruction by making changes to various aspects of the curriculum. These real-life examples investigate up-to-date curricular issues ranging from…

This project was coordinated and funded by the California Partnership for Achieving Student Success (Cal-PASS) and Girard Foundation. Cal-PASS is a data sharing system linking all segments of education. Its purpose is to improve student transition and success from one educational segment to the next. The original version, Version 1.0, of this…

Mainland China has a highly centralised curriculum development system. A study of two schools in northeast China, one in a rural area and the other in an urban area, indicates that the primary mathematics curriculum has been widely adopted by teachers at the classroom level. Feeling the intense pressure generated by the national mathematics…

We report the development of an assessment instrument that provides a profile of the attainment and the errors of pre-service primary teachers across the mathematics curriculum. We describe test development, analyses and test validation involving a sample of 426 pre-service teachers in the first year of their training in primary education courses…

This article summarizes the basic concepts of multiplication and provides some evidence that the traditional third-grade curriculum and instruction emphasizing memorization of multiplication facts produces much less understanding of the basic concepts of multiplication than a standards-based curriculum and instruction emphasizing construction of…

As instructional philosophies proliferate, elementary teachers are increasingly active as curriculum makers. Interconnecting the elements of unit planning is essential to dynamic teaching and meaningful learning. To be effective, unit planning must: (1) focus on substance and identify major concepts and generalizations; and (2) design activities…

This paper describes a mathematics-centered thematic unit for 5th graders which organizes all the topics in the Houghton Mifflin Mathematics Program by combining critical thinking and whole language frameworks to help students retain, understand, and make active use of knowledge within and across domains. The unit connects inquiry, goals, critical…

This document contains the basic mathematics expectations for high school students that are part of the Common Curriculum Framework for K-12 Mathematics in western Canada. The intent of this collaboration is to clearly communicate the high expectations for students in mathematics education to all educational partners across the jurisdictions in…

This study examines teachers' mathematical understanding of various representations of slope and their knowledge for teaching the concept of slope. Specifically examined in this research are the concept images and concept definitions of slope held by both preservice (N=18) and inservice (N=21) secondary mathematics teachers. Data collected include…

Since 1988, Massachusetts' Massasoit Community College has offered two alternative introductory algebra courses for students receiving low scores on mathematics admission tests. One alternative course provides 5 hours of instruction per week, rather than the 3 hours per week in the traditional course, while the other segments the traditional…

This book is a professional resource for both regular classroom and special education teachers who work with students with disabilities in mathematics or students who are gifted or talented in mathematics. Included are 21 chapters, each written by specialists in different aspects of working with students with special needs. The book is divided…