Mathematics should not be studied simply because it is useful; mathematics should be also studied because it nurtures both the mind and soul with its beauty. By completing the four activities described in this paper, students will appreciate mathematical ideas both rationally and emotionally. Since students' appreciation of mathematical ideas…

As is the case in any country there is a constant search to improve the mathematics offerings presented to school-goers in South Africa. The activity surrounding this search was intensified after the attainment of democracy. The primary aim of this search was to establish a mathematics curriculum that would result in productive learning and the…

The purpose of this large-scale, multi-year, national study is to determine whether some early elementary school math curricula are more effective than others at improving student math achievement, thereby providing educators with information that may be useful for making adequate yearly progress. The main questions being addressed by the study…

The purpose of this large-scale, national study is to determine whether some early elementary school math curricula are more effective than others at improving student math achievement, thereby providing educators with information that may be useful for making adequate yearly progress (AYP). This report presents results from the first cohort of…

In the Singapore primary school Mathematics curriculum, students are taught the model method that uses bar diagrams to visualize the problem structure in a given word problem. When these students progress to secondary school, they learn the algebraic way of solving word problems. Studies (e.g. Ng et al.) have shown that poor bridging of students…

The purpose of this large-scale, national study is to determine whether some early elementary school math curricula are more effective than others at improving student math achievement, thereby providing educators with information that may be useful for making adequate yearly progress (AYP). This report presents results from the first cohort of…

This handbook was developed for high school teachers looking for new sources of timely information and ways to make courses more engaging and relevant to students. The American Community Survey (ACS) provides a wide online array of social, economic, and demographic information about the nation, states, and local communities. These data can be…

This study used a randomized field trial design to evaluate the efficacy of a research-based model for scaling up an intervention focused on preschool mathematics. Although the successes of research-based educational practices have been documented, equally well known is the paucity of successful efforts to bring these practices to scale. The same…

This study reports findings from comparative samples of sixth-grade Chinese and U.S. students' interpretations of the equal sign. Ninety-eight percent of the Chinese sample correctly answered 4 items indicating conceptions of equality and provided conceptually accurate explanations. In contrast, only 28% of the U.S. sample performed at this level.…

Policy makers increasingly include provisions aimed at fostering professional community as part of reform initiatives. Yet little is known about the impact of policy on teachers' professional relations in schools. Drawing theoretically from social capital theory and methodologically from qualitative social network analysis, this article explores…

Children live in a highly sophisticated world composed of interlocking complex systems. An appreciation and understanding of such systems is critical for making effective decisions about everyone's lives as individuals and as community members. This article addresses one approach to introducing children of all achievement levels to introductory…

One reason we have difficulty finding sustainable solutions is in part because we are unable to see the bigger picture. Capra (2000) argues, "To become ecologically literate we must learn to think systemically--in terms of connectedness, context and processes" (p. 270). We have attempted to structure connected learning experiences through our…

Although many students who enter kindergarten are cognitively ready to meet the demands of the kindergarten mathematics curriculum, some students arrive without the early abstract reasoning abilities necessary to benefit from the instruction provided. Those who do not possess key cognitive abilities, including understandings of conservation,…

These collected papers are a record of the proceedings of the 33rd Annual Conference of the Mathematics Education Research Group of Australasia entitled, "Shaping the Future of Mathematics Education." The conference is held in Fremantle, as was the previous conference a decade earlier. Keynote speakers are discussing issues that are emerging more…

Understanding how various aspects of mathematics education work together is necessary if reform efforts are to succeed, Ms. Newton argues. She compares U.S. and Chinese mathematics education to provide perspectives that might further such understanding. She highlights the Chinese emphasis on thinking systematically about teaching, curriculum, and…