This dissertation illuminates relationships between micro-level practices of schools and macro-level structures of society through the socio-historical lens of New York State Regents mathematics examinations, which were administered to public school students throughout the State of New York between 1866 and 2009, inclusive. Fundamental research…

There are concerns about the trends and patterns in enrolments in senior school mathematics. Shortages of suitably qualified teachers and dwindling students' demand for Advanced Mathematics have led some Western Australian schools to collaborate to provide an otherwise unavailable opportunity for their students to study Advanced Mathematics. It is…

Measurement is an integral component of the PK-12 mathematics curriculum. At various grade levels, much attention is given to the areas of geometric shapes. However, there is research evidence that measurement is problematic for US students. In this paper, the merits and demerits of two possible sequences (conventional and alternative) in teaching…

In this paper we consider important factors influencing different curricular approaches to the study of numerically and geometrically defined pattern-type problems in the middle school curriculum. Our analysis involves the consideration of recommendations from national standards documents and their influences on state framework documents…

The integration of children's trade books in the mathematics classroom has experienced a dramatic surge in its popularity; yet, though the positive benefits of this strategy have been well documented, these benefits may only be realized if the literature is of high quality. Utilizing a mathematics trade book evaluation instrument, this inquiry…

Computer Algebra Systems (CAS) are equipped with rich facilities to show graphics, so the use of CAS to show 3D-graphics on screen is a popular tool for mathematics education. However, showing 3D-graphics in mass printed materials is a different story, since the clarity and preciseness of figures tend to be lost. To fill this gap, we developed…

The "flat" world described by Friedman (2006) is one of global supply chains and economic networks, outsourcing, international personal entrepreneurial opportunities, and nearly unlimited, universal information availability. American children will inherit a world in which their competition and opportunities are international. In light of these…

This article reviews literature on mathematics education in China in the last decade. It focuses on papers that were published after 2000, and Chinese Social Science Citation Index (CSSCI). Some influential journals in the field of mathematics education, such as the "Journal of Mathematics Education" and "Mathematics…

In this article we draw upon focus group data from a large study of learner trajectories through 14-19 mathematics education to think about the notion of relevance in the mathematics curriculum. Drawing on data from three socially distanced sites we explore how different emphases on what might be termed "practical," "process"…

Over the past two decades, several new K-12 mathematics curricula have been developed. The question asked by many researchers, administrators, and policy-makers is: "Do these materials work?" This question has led to research on curricular effectiveness and, more specifically, on teachers' implementations of the curricula. Teachers…

In the fall of 2009, the College Board conducted a curriculum survey to gather information on the curricula and institutional practices of high schools and colleges in the United States. The primary objective of the survey was to collect data on the knowledge and skills, or topics, taught in high school classrooms and assess the importance of…

Singapore students have scored exceedingly well on international tests in mathematics. In response, there has been a desire in the United States--both at the policy level and at the school level--to emulate Singapore. Because what can be identified most easily about Singapore's school mathematics can be gleaned from curriculum documents from the…

It is widely accepted that including writing activities in the learning process positively impacts student achievement and leads to greater depth of student understanding. This writing is often missing in the math classroom though, when the focus is misplaced on rote procedures. In these classrooms students learn mathematical processes but have…

In 2001, the Chinese Ministry of Education issued Guidelines for Preschool Education (GPE) (trial version) to call on early childhood practitioners to use a child-centered and play-based approach to teaching and learning. The guidelines also include mathematics within the science domain and described its standards in a way that significantly…

Attempts at integrating mathematics and science have been made previously but no definitive, widely adopted teaching model has been developed to date. Research suggests that hands-on, practical, student-centred tasks should form a central element when designing an effective model for the integration of mathematics and science. Aided by this…