When asked to calculate the area of a particular shape, one student responded by asking, "Is that the outside or the inside?" while another student replied, "I think it's the one where you put a little 2 next to it." Both of these responses indicate a lack of conceptual understanding of area and reinforce the research findings…

Mathematics can be perceived as being a difficult subject to learn due to the conceptual leaps required to understand particular mathematical topics. In some areas of mathematics, part of the difficulty may be associated with applying sufficient imagination to visualize a particular mathematical concept, and applying sufficient visio-spatial…

This paper will describe results concerning the impact of the PD on the three primary study outcomes: teacher knowledge of rational number topics, teacher instructional practices, and student achievement in rational number topics. All analyses are completed. However, the results cannot be shared at this time because the report is currently under…

The research objectives were to identify the middle level mathematics teachers' conceptions of mathematics teaching and learning and ascertain changes in their conceptions and instructional behavior at the end of a three-year professional development (PD) project. These changes were studied through the qualitative analysis of their reflective…

Aligned with recent changes to syllabuses in Australia is an assessment regime requiring teachers to identify what their students "know" and "can do" in terms of the quality of understanding demonstrated. This paper describes the experiences of 25 secondary science and mathematics teachers in rural schools in New South Wales as…

The purpose of this article is to discuss the current shortcomings in science and mathematics education in Malaysia. The use of cooperative learning as an alternative to traditional method is emphasized. Cooperative learning is grounded in the belief that learning is most effective when students are actively involved in sharing ideas and work…

The purpose of this article is to discuss the current shortcomings in science and mathematics education in Malaysia. The use of cooperative learning as an alternative to traditional method is emphasized. Cooperative learning is grounded in the belief that learning is most effective when students are actively involved in sharing ideas and work…

This mixed-methods study assessed the effects of Enhanced Anchored Instruction (EAI) on the math performance of adolescents with learning disabilities in math (MLD). A quasi-experimental pretest-posttest control group design with switching replications was used to measure students' computation and problem-solving skills on EAI compared to control…

This article discusses how math skills, teamwork and higher-level thinking come together when students create strategic board games. In this article, the authors provide a glimpse of what it was like to be part of "To the Sun!," a game designed by students in the fifth-grade class at Olive Martin School in Lake Villa, IL. Students combined a math…

A yearlong experimental study showed positive effects of a professional development project that involved 19 urban elementary schools, 180 teachers, and 3735 students from one of the lowest performing school districts in California. Algebraic reasoning as generalized arithmetic and the study of relations was used as the centerpiece for work with…

The American Institutes for Research (2006) recently reported that 20% of U.S. students graduating from four-year colleges and universities and 30% of those completing two-year degrees have quantitative literacy skills at only a basic level. Sociologists are currently working on a variety of approaches to incorporate quantitative literacy into…

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…

Mathematical knowledge can be categorized in different ways. One commonly used way is to distinguish between procedural mathematical knowledge and conceptual mathematical knowledge. Procedural knowledge of mathematics refers to formal language, symbols, algorithms, and rules. Conceptual knowledge is essential for meaningful understanding of…

This article describes a lesson unit in which students constructed tables and graphs to represent the growth of different trees. Students then compared the graphs to develop an understanding of slope.

Can a rich problem-solving task challenge a diverse range of students? How would students across various grade levels, from elementary school to secondary school, respond to the same task? These were the questions five different teachers in different schools wanted to explore in their respective classes, ranging from first grade through ninth…