This article provides an overview of vertex-edge graphs as an essential topic in the high school mathematics curriculum, including rationale, recommendations, and sample applications. A classroom-ready activity with full teacher notes is also included. (Contains 1 table and 9 figures.)

This study examines factors related to the sustainability of SimCalc Mathworlds (SCMW), a technology-infused mathematics curriculum. We surveyed middle school teachers one year after their participation in a randomized trial where they were introduced to SCMW curriculum, to identify factors related to their continued use of the materials in ways…

Explore successful models of intervention. No Child Left Behind has set the high expectation that every child meet grade level expectations. This publication synthesizes the research on intervention programs and best practices related to mathematical instructional pedagogy and differentiation to assist teachers, schools, and school districts in…

Technological fields, like engineering, are in desperate need of more qualified workers, yet not enough students are pursuing studies in science, technology, engineering, or mathematics (STEM) that would prepare them for technical careers. Unfortunately, many students have no interest in STEM careers, particularly engineering, because they are not…

Math skills are essential to daily life, impacting a person's ability to function at home, work, and in the community. Although reading has been the focus in recent years, many students struggle in math. The inability to master math calculation and problem solving has contributed to the rising incidence of student failure, referrals for special…

In this study, I examine the role of dynamic geometry software (DGS) in curricular proof tasks. I investigated seven US high school geometry textbooks that were categorised into three groups: technology-intensive, standards-based, and traditional curricula. I looked at the frequency and purpose of DGS use in these textbooks. In addition, I…

Solving arithmetic and algebraic word problems is a key component of the Singapore elementary mathematics curriculum. One heuristic taught, the model method, involves drawing a diagram to represent key information in the problem. We describe the model method and a three-phase theoretical framework supporting its use. We conducted 2 studies to…

A basic understanding of statistical ideas, and especially the idea of statistical modelling involving exposure to statistical data analysis, is as fundamental to an understanding of modern society and its artefacts as is language literacy. Thus, statistics should become a central feature of the mathematics curriculum. This implies, among other…

This article sets out a vision for the general nature of the statistics curriculum in the medium to long term.

This article examines how visual representations may mediate the teaching and learning of mathematics over time in Japanese elementary classrooms. Using the Zone of Proximal Development Mathematical Learning Model (Murata & Fuson, 2006; Fuson & Murata, 2007), the process of mediation is explicated. The tape diagram, a central visual…

The mathematics curriculum in the United Kingdom (UK) has undergone radical changes, placing a particular focus on mental computation. Pupils are not taught written methods of computation until they are able to add and subtract any pair of two digit numbers mentally. Teacher education programmes in the UK have required adaptation to reflect these…

Good teaching is responsive to individual differences, tailoring instruction to meet the needs of individual learners. In gifted education, students need a curriculum that is differentiated (by level, complexity, breadth, and depth), developmentally appropriate, and conducted at a more rapid rate. This collection of essays from experts in the…

In August 2008, the National Council of Teachers of Mathematics (NCTM) brought together approximately 60 mathematics education researchers and practitioners for a 4-day working conference. During this working conference, the participants analyzed over 350 mathematics education practitioner-generated questions in seven areas: assessment,…

The Government is committed to ensuring that the new National Curriculum compares favourably with the curricula in the highest performing jurisdictions, and sets rigorous requirements for pupil attainment which measure up to the highest standards set internationally. The Government is also committed to slimming the National Curriculum so that it…

This study was designed to investigate whether and how upper elementary grade teachers who use a reform-based mathematics curriculum adjust instruction for their lower achieving (LA) compared to higher achieving (HA) students during a one-on-one mathematics problem-solving lesson. Little is known about the individualized support teachers provide…