The main goal of this study was to examine possible socioeconomic status (SES) differences in 4- and 5-year-old children's informal mathematical knowledge. One hundred and two children, 32 from lower, 39 from middle, and 31 from upper SES families participated in the study. Each participant was given a clinical interview involving several addition…

Two-hundred and thirty-one students in 6 Grade 9 classes in 2 secondary schools in Thailand attempted 54 pencil-and-paper tasks related to linear equations and linear inequalities immediately before and after they participated in 13 lessons on those topics. Students' written responses, and transcripts of pre- and postteaching interviews with 18…

Chinese students often outperform U.S. students on international tests in mathematics. Chinese students' mathematics performances are assumed to be related directly to their teachers' deep mathematics understanding and ability to represent concepts flexibly in their classrooms, which, in turn, are thought to be influenced by Chinese mathematics…

Using a national longitudinal sample of 5,257 young people who were pursuing the bachelor's degree, we studied how credits in intensive high school mathematics courses affected their completion versus noncompletion of the degree. Finishing one unit in any of four intensive math courses more than doubled the likelihood that participants would later…

This paper reports on data from seventy-eight 9-11 year old children attending four schools that had participated in a national numeracy initiative in New Zealand. Children's responses to a multi-digit addition problem, including alternative solution strategies, and their ideas about the importance of getting the "right answer" were…

When worthwhile mathematical tasks are used in classrooms, they should also become a crucial element of assessment. For teachers, using these tasks in classrooms requires a different way to analyze student thinking than the traditional assessment model. Looking carefully at students' written work on worthwhile mathematical tasks and listening…

Using data from the Longitudinal Study of Mathematics Participation (N = 1,518 students from 34 schools), we investigated the effects of pure and applied mathematics courses on mathematics achievement, controlling for prior mathematics achievement. Results of multilevel modelling showed that the effects of pure mathematics were significant after…

Riordan and Noyce (2001) report that schools that used the Connected Mathematics Project (CMP) for two to three years had greater gains in math achievement overall than those in the comparison group. Riordan and Noyce do not report whether this difference was statistically significant. However, t tests calculated by the WWC using data provided by…

This study took place at Skaneateles High School in Skaneateles, New York in a grade 10 Integrated Math AB course with 52 students in 3 sections using the TI-84 Plus family graphing calculators and the TI-Navigator classroom learning system with a projector and interactive whiteboard. New York State is phasing in a new curriculum that integrates…

This is the seventh edition of the Brown Center Report on American Education. As in the past, the report consists of three sections. The first section examines the latest test score data on math and reading achievement. This year the analysis focuses primarily on results of the 2007 National Assessment of Educational Progress (NAEP), including a…

Multiple measures administered in repeated waves within a nonequivalent dependent variables quasi-experimental design were used to test the effects of a reform-oriented instructional method called Enhanced Anchored Instruction (EAI) on the math achievement of 128 middle school students, including students with learning disabilities (LD). EAI…

This article is an introduction to the international assessments Programme for International Student Assessment (PISA) and the Trends in International Mathematics and Science Study (TIMSS) and a review of results from 2003. International comparisons, especially in the media, have elevated interest in science education and stimulated discussions…

A solid understanding of equivalent fractions is considered a steppingstone towards a better understanding of operations with fractions. In this article, 55 rural Australian students' conceptions of equivalent fractions are presented. Data collected included students' responses to a short written test and follow-up interviews with three students…

Teaching and learning mathematics with technology poses a unique dilemma. If technology is to enhance mathematical achievement (NCTM, 2000), why do documented studies indicate that this may not be the case (Waxman, Connell, & Gray, 2002)? This study looks at the learning environment used when teaching with technology. What in the instructional…

NCLB requires states to provide highly qualified educators for all students. Highly qualified educators should have content knowledge in the areas they teach and the pedagogical expertise to produce student educational gains. In this study, researchers examined the effects of an online mathematics methods class on preservice teachers' knowledge of…