This article is an advanced theoretical study as a result of a chapter from the first author's PhD study. The aim of the article is to discuss the relationship between commognition and the Van Hiele theory for studying discourse during Euclidean geometry problem-solving. Commognition is a theoretical framework that can be used in mathematics…

Using over 350 hours of observational data from district-level meetings, we investigate how leaders support their interpretations of problems and proposed solutions during closed-door negotiations around three policy decisions, and how they invoke race, class, and language in the process. District leaders primarily cite constraints from…

Malaysia has undergone several changes in its education policy from KBSR to KSSR over the decades and the changes in school textbooks follow suit. The current KSSR Math textbooks used were developed in 2014/15 and millions of Ringgits has been spent by the government to provide quality education for all. However, the findings from International…

Background: Workbooks were introduced by the South African Department of Basic Education (DBE) in 2011. Although the workbooks were designed as supplementary materials, in some schools they are used as the sole teaching text. Therefore, an analysis of the content coverage of the workbooks is warranted. This article provides such an analysis in…

The year students take Algebra I historically determines how far they progress in secondary mathematics, creating complex equity issues around access to this course. By examining a case study of one large, urban school district adjusting to the Common Core State Standards in Mathematics (CCSS-M), we demonstrate how district leaders' interactions,…

In this article, Libby reflects on her experiences as a teacher, wife and mother while working at a school in Far North Queensland. In sharing these aspects of her identity, she effectively demonstrated one of the ways in which non-Indigenous educators can begin to connect with and address the learning needs of Indigenous students.

In this study, we applied decision trees (DT) to extract a compact set of pedagogical decision-making rules from an original "full" set of 3,702 Reinforcement Learning (RL)- induced rules, referred to as the DT-RL rules and Full-RL rules respectively. We then evaluated the effectiveness of the two rule sets against a baseline Random…

As a way to raise attainment, schools are encouraged to form ability groups across classes for particular subjects. There is limited evidence however about the relationship between setting and primary school children's characteristics and how teachers perceive them. The aim of this study was to investigate associations between set positioning for…

Whether or not to sort students by incoming skills has been a contentious issue. This brief shows that there are potential costs and benefits to both approaches. Even with the same curriculum, the consequences of sorting depend on students' incoming skills and the outcomes being considered. This brief highlights a critical role skill-based sorting…

Two developments have contributed to the convergence of views about the benefits of real-life and inquiry-based pedagogies in mathematics learning. First, the mathematics teaching community is increasingly focused on the learning of mathematics that involves the transfer of prior knowledge to novel problem-solving situations, a key element in…

This article discusses schema-based instruction (SBI) as an alternative to traditional instruction for enhancing the mathematical problem solving performance of students with learning disabilities (LD). In the authors' most recent research and developmental efforts, they designed SBI to meet the needs of middle school students with LD in inclusive…

More than ever, students need to engage with mathematics concepts, think quantitatively and analytically, and communicate using mathematics. All these skills are central to a young person's preparedness to tackle problems that arise at work and in life beyond the classroom. But the reality is that many students are not familiar with basic…

This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five…

The release of the "Australian curriculum: Mathematics" has generated considerable debate in the education community. Some educators warn that this debate has centred on mathematical content and skills, setting the conditions for a "back to basics" movement in line with the political rhetoric that accompanied the national…

The author of this article argues that, just as Americans were shocked into action, when the Soviet Union launched Sputnik in 1957, by strengthening STEM (science, technology, engineering, and mathematics) in the educational curriculum, Americans must be shocked again. The nation must address the failure of its leaders to provide adequate funding…