Examined how a curriculum development project, aligned with current mathematics education reforms, affected 18 students in socially diverse mathematics classroom. Found that students of lower socioeconomic status preferred direct teacher intervention as opposed to open discussions among classmates. Higher socioeconomic status students displayed…

In 1997, Milgram and three other university mathematicians substantially revised the draft California mathematics standards. Changes were accepted by the state Board of education without seeking public or teacher input, circumventing public process. Content knowledge is no substitute for knowledge of how students develop mathematical…

Examined perceptions of alternate-route and college-prepared teachers about adapting mathematics and writing curriculum to student diversity. Surveys and interviews indicated that while most teachers favored curriculum adaptation in general, commitment to these beliefs was inconsistent. Both groups preferred to discuss curriculum adaptation in…

This study was prompted by the current availability of newly designed mathematics curriculum materials for elementary teachers. Seeking to understand the role that reform-oriented curricula might play in supporting teacher learning, we studied the ways in which 8 teachers in the same school used one such curriculum, Investigations in Number, Data,…

This book provides a rationale for focal points for each grade level, prekindergarten-8. Focal points are important mathematical topics that represent major areas of content emphasis. Building on "Principles and Standards for School Mathematics," this publication is presented to begin a dialogue on what is important at particular levels…

This review of the literature investigates ways to apply student-centered math activities in fifth grade standards-based curriculum. My goal for this project is to discover and share several ideas about how to effectively implement student-centered math activities within the standards-based curriculum requirements that dominate today's public…

Algebra instruction has traditionally been postponed until adolescence because of historical reasons (algebra emerged relatively recently), assumptions about psychological development ("developmental constraints" and "developmental readiness"), and data documenting the difficulties that adolescents have with algebra. Here we…

This study uses Partial Credit Rasch analysis to study a complex data set of student responses to survey items relating to chance and data. The items were administered in the classroom and collected from 1993 to 2003 in the Australian state of Tasmania. Data were collected from a total of 5514 individual students across Grades 3 to 11 over the…

An important component of the National Council of Teachers of Mathematics Standards is the equity principle: All students should have access to a coherent, challenging mathematics curriculum. Many in the mathematics reform community have maintained that this principle can be achieved through one well-designed curriculum. However, the extant…

When marking GCSE data handling coursework, the author was repeatedly reminded just how poor the level of statistical understanding is among students. In response to a feeling that the teaching of handling data topics was limited, the author and her colleague designed a project with Y8 students to try to teach statistics for a deeper…

Ancient Chinese mathematics has been the focus of many research studies and scholarly works from a historical perspective. However, no move has been made to investigate its role in the teaching and learning of mathematics. This pilot study examined the effects of an Ancient Chinese Mathematics Enrichment Programme (ACMEP) on the academic…

The aim of this study was to compare the acquisition of the van Hiele levels of sixth-grade students engaged in instruction using a reform-based curriculum with sixth-grade students engaged in instruction using a traditional curriculum. There were 273 sixth-grade mathematics students, 123 in the control group and 150 in the treatment group,…

Under the "Math Science Partnership Grant," the Maui Hawaii Educational Consortium sought scientifically based evidence for the effectiveness of Carnegie Learning's "Cognitive Tutor[R]" (CT) program as part of the adoption process for pre-Algebra program. During the 2006-2007 school year, the researchers conducted a follow-on…

This article recounts the battle in the "math wars" that took place in Massachusetts, United States in 1999-2000 over the scope, content and teaching of the state's K-12 mathematics curriculum. Harsh controversies arose between the partisans of a "reform-math" movement stressing an undefined "conceptual understanding"…

This document is designed to assist teachers and other school personnel in the planning and teaching of the fifth grade mathematics course. Contents include: (1) Overview of Grade 5 Mathematics (mission statement, purpose and philosophy, goals, National Council of Teachers of Mathematics' Professional Standards for Teaching Mathematics, and uses…