In this paper, a contextual approach to teaching Mathematics at the pre-university level is recommended, and an example is illustrated. A "context" in the form of a real common mathematical problem is presented to the students. Different approaches to tackle the problem (from topics within and outside the syllabus) can be elicited from students.…

This study examines the mental computation strategies used by pupils at the end of primary school. In 1998 a new strategy for teaching mathematics was introduced into British schools (the National Numeracy Strategy) that specifically focused on mental calculation. The first part of the study took place in 1999, one year after the implementation of…

Arguably the first significant innovation in the undergraduate mathematics curriculum of the second half of the twentieth century was the finite mathematics course. The origins of this course lie in the excitement that arose, in the period around World War II, about applying mathematics to the social sciences. In this article we tell some of that…

This article describes recommendations made by participants in a large project of the Mathematical Association of America (MAA), in which representatives of "partner disciplines" shared what they would like students to learn in the first two years of college mathematics. The article further suggests implications for high school mathematics.…

In this article, the author offers two well-known mathematical images--that of a dot moving around a circle; and that of the tens chart--and considers their power for developing mathematical thinking. In his opinion, these images each contain the essence of a particular topic of mathematics. They are contrasting images in the sense that they deal…

Improving mathematics education in the United States has taken many forms. Our work has focused on two aspects: the content knowledge of teachers and a well-articulated coherent curriculum. Our aim was teacher "capacity building" that is enabling teachers to teach to coherent and significant mathematical curricular goals and describe the…

Mathematics continues to be one of the most difficult components of the school curriculum for students with learning disabilities (LD). The National Council for Teachers of Mathematics, in conjunction with current educational legislation, challenges teachers to maintain high standards for student performance in mathematics. Fortunately, over the…

The National Council of Teachers of Mathematics (NCTM) asserts that a goal of mathematics education, in Prekindergarten through grade 12, is to develop mathematical power for "all" students, and that educational equity is the nucleus of this goal. Nevertheless, researchers have found that equity for all students in mathematics education has not…

The purpose of this qualitative study was to examine rural high school mathematics teachers' responses to the initial implementation of Louisiana's "Comprehensive Curriculum" during their second year of involvement in a professional development program. The curriculum changes were the culmination of an alignment between standards,…

The squeeze on instructional time and other factors increasingly leads educators to consider mathematics and science integration in an effort to be more efficient and effective. Unfortunately, the need for common understandings for what it means to integrate these disciplines, as well as the need for improving disciplinary knowledge, appears to…

There is growing concern in Europe that some students are not well-equipped to start a Bachelor's or Master's programme, especially when the programme has a strong mathematical focus. In particular, attention is drawn to problems with mathematics in the transition from secondary to higher education. Higher education expects a certain level of…

The purpose of this study was to replicate and extend research on task interspersal. The authors investigated whether changes in on-task behavior of two middle school students were functionally related to changes in the relative percentages of easy and difficult items on math worksheets. They found that the participants remained on task longer…

A mathematics curricula "Have a Heart problem" characteristically expect students to work numerically with formulas and unit conversions, assuming that they have had enough experience measuring lengths and areas physically. However, the problem shows the pitfalls of working numerically without the proper conceptual foundations.

For the first time in the history of American education, educators and policymakers are setting their sights on reaching the goal of preparing all students graduating from high school to meet the requirements of postsecondary education, professional careers and effective citizenship. The 2004 report, "Ready or Not: Creating a High School…

This paper describes 25 National Science Foundation supported projects that have innovations designed to improve education for students majoring or minoring in statistics. The characteristics of these projects and the common themes which emerge are compared with the American Statistical Association's (ASA) guidelines for developing statistics…