Children with Down syndrome can and do learn important mathematics and increasingly, this is occurring in regular school classrooms. The research literature offers little about the practices of effective primary school teachers who are including children with Down syndrome in the teaching of mathematics. In this paper we present findings from a…

Disparate approaches to assessment pursue differing purposes. Clinical assessment interviews like the Australian early numeracy interview (ENI; Clarke et al. 2002) or its German version ElementarMathematisches BasisInterview (EMBI; Peter-Koop et al. 2007) can be used to gain insights into children's mathematical thinking and aim at providing a…

Mathematics educators sometimes have trouble enacting equity-based pedagogy. Part of this is due to the lack of authentic opportunities to engage in analyzing difficult scenarios involving power, identity, and access. Additionally, mathematics educators sometimes have trouble finding, sharing, and collaborating on activities and materials that…

This study aims to describe the categories of critical thinking skills of high school students in solving quadratic equation problems. The data in this study are the results of student work related to tests of critical thinking skills and the results of researchers' interviews with students. Data analysis will be carried out after giving the…

Supporting student success in introductory mathematics courses is a growing national imperative in order to both diversify and increase the number of well-prepared Science, Technology, Engineering, and Mathematics (STEM) graduates. Efforts to diversify STEM fields have focused on broadening participation, addressing equitable outcomes, and…

The construction of equitable, ambitious mathematics classrooms in which students learn together hinges on teachers representing students' mathematical struggle as supported and constrained by interactions they have with peers and teachers. However, commonsense narratives about "perseverance" locate the responsibility for struggling…

This causal-comparative study examined the effect of revised placement rules on throughput student success for transfer-level mathematics students in California community colleges. This study was timely and relevant in providing insight into the educational reforms instituted by the AB705 legislature in California community colleges to maximize…

This paper aims to present how quantitative literacy was made a focus in a preschool classroom of threeand four-year-old children. With a focus on examining two areas of quantitative literacy, number knowledge and counting (Jordan, Kaplan, and Locuniak 2007) we seek to explore how educators, within an early childhood setting, used a project…

In this article, the author describes an occurrence of the golden ratio in the context of regular hexagons. The method described can be used to construct the golden ratio. This is one of many ways one can construct the golden ratio.

This article reports on an analysis of the process in which "knowledge to be taught" was transposed into "knowledge actually taught," concerning a task including proportional relationships in an algebra setting in a grade 6 classroom. We identified affordances and constraints of the task by describing the mathematical…

According to the National Center for Education Statistics (2016), the number of public school students in the United States who were English learners (ELs) was estimated at 4.5 million. However, in 2005, the national standardized testing scores (Fry 2007) show that about 51 percent of eighth-grade EL students were behind other students in reading…

In order to ensure content validity by covering a broad range of content domains, the testing times of some educational large-scale assessments last up to a total of two hours or more. Performance decline over the course of taking the test has been extensively documented in the literature. It can occur due to increases in the numbers of: (a)…

In this article, we present a narrative review of mathematics education research on language and on communication over 2019-2022, but also look ahead by addressing challenges posed by the lack of distinction between language and communication. The persistence and significance of the problem of the distinction between language and communication are…

The connections between critical pedagogy, living theory and participatory action research (PAR) are discussed to explore their combined strength for empowering students, positively impacting on their attitudes towards their mathematics learning and creating social change in their primary-secondary mathematics transitions. This transition is…

This study aims to explore how a research-informed product, a hypothetical learning trajectory (HLT), was implemented by a group of Shanghai teachers in mathematics classrooms and promoted by a researcher through a Chinese lesson study. The instruction informed by the HLT served as a boundary object to promote conversations between the researcher…