This paper presents an examination of the use of Rasch modelling in a major research project, "Improving Middle Years Mathematics and Science" (IMYMS). The project has generated both qualitative and quantitative data, with much of the qualitative data being ordinal in nature. Reporting the results of analyses for a range of audiences necessitates…

This study examines the construct validity of the Mathematical Patterns Test using data from 848 Cypriot primary school students. Descriptive analyses across 5 age groups suggested a developmental structure of individual tasks and subdomains consistent with the design of the test. Acceptable fit was obtained using confirmatory factor analysis…

This study extends previous research examining the relations between Cattell-Horn-Carroll cognitive abilities and math achievement. The cognitive profiles of children with normative weaknesses in Math Calculation Skills or Math Reasoning were compared to those of their average-achieving peers. The cognitive profile of the low Math Calculation…

The importance of visual representation, usually a geometric figure presented in words and in mathematical symbols that is frequently found on high-stakes standardized tests is evaluated. The study shows that mathematics teachers can help prepare students to solve mathematical problems containing a figure not drawn to scale by looking for and…

The present study aims to explore the extent to which computer-assisted teaching facilitates the learning of basic mathematical concepts and skills in children with Down Syndrome (DS). Thus, the effectiveness of a multimedia teaching method is compared with a traditional one in the teaching of counting and cardinality abilities and concepts. In…

Using data from the National Institute of Child Health and Human Development (NICHD) Study of Early Child Care and Youth Development, the NICHD Early Child Care Research Network (ECCRN) constructed a structural model predicting reading and mathematics achievement in first-grade children from parenting, child-care, and first-grade schooling…

The history of the computer usage in high school laboratories is discussed. Students learned scientific methods by acknowledging measurement errors, using significant digits, questioning their own results, and without doubts, they benefited from applying skill learned in mathematics classes.

Recent studies indicate that students in the United States are not achieving sufficient mathematics skills to meet the demands required of them within and outside of school. Among the keys to preventing mathematics difficulties are to identify and intervene with those students who may be most at risk for later failure, monitoring their progress as…

National and international studies have made student performance in mathematics a high priority in schools. Using longitudinal data from elementary and secondary schools, the authors examined the connections between specific family and community involvement activities and student achievement in mathematics at the school level. After the authors…

Courses below calculus need to be refocused to emphasise conceptual understanding and realistic applications via mathematical modelling rather than an overarching focus on developing algebraic skills that may be needed for calculus. Without understanding the concepts, students will not be able to transfer the mathematics to new situations or to…

There is a call for change in College Algebra. The traditional focus on skill development is failing, resulting in withdrawal and failure rates that are excessive. In addition, too many students who are successful do not continue on to take a successive mathematics course. The Institute for Mathematics Learning at West Virginia University has been…

Children's early mathematical experiences play an enormous role in the development of their understanding of mathematics, and serve as a foundation for their cognitive development. In this descriptive study, we observed the naturally occurring mathematical activities engaged in by thirty-nine 3-year-olds, equally divided by race/ethnicity and…

In the context of U.S. and world wide educational reforms that require teachers to understand and respond to student thinking about mathematics in new ways, ongoing learning from practice is a necessity. In this paper we report on this process for one teacher in one especially productive year of learning. This case study documents how Ms. Statz's…

This study investigated associations between working memory (measured by complex memory tasks) and both reading and mathematics abilities, as well as the possible mediating factors of fluid intelligence, verbal abilities, short-term memory (STM), and phonological awareness, in a sample of 46 6- to 11-year-olds with reading disabilities. As a…

This article addresses the issue of helping students who work collaboratively on mathematical problems with the aim of raising the level of their mathematical understanding and competence. We investigated two kinds of teacher interventions aimed at helping students. The rationale of these interventions was based on a process model for interaction…