Bilingual education in the United States basically involves English language learners (ELLs) in mainstream classes and students who are learning an additional language in a foreign language immersion (FLI) program. Although academic vocabulary instruction for ELLs has attracted increasing attention in the past two decades (e.g., McQuillan, 2019;…

The National Council of Teachers of Mathematics (2000) emphasizes the importance of communication in mathematics and mathematics education. Effective mathematical communication is essential in mathematics instruction, as it is a collaborative and social activity between teachers and students (Moschkovich, 2002; Khairunnisa et al., 2020). This…

The aim of this paper is to analyse the reasoning and symbolisations used by sixth grade Moroccan students in solving a task based on figurative patterns. Our analysis aims at identifying the systems of actions elaborated by the students to give the general expression of the sequence, according to their perceptions of the sequence of its patterns.…

This Working Group builds on the accomplishments of the Working Groups in 2015, 2016, and 2018. We will continue considering multiple aspects of research and practice related to mathematics learning and teaching with English Learners. Our goals for the 2019 Working Group include: (1) sharing an opportunity to publish empirical research related to…

In this paper we compare the early years mathematics curricula of Germany, South Africa, and Australia in relation to the place value concept. Place value is an important topic as it underpins much of the number work completed by learners in the early years of schooling. We found that there were differences between the three curricula that could…

The authors define two mathematical cognitive verbs which are fundamental to the development of mathematical thinking and reasoning. They distinguish between 'describing' and 'explaining' in relation to doing mathematics, rather than using them interchangeably.

It is widely acknowledged that communicating mathematical thinking is complex, difficult, and often messy. In this article, the authors explore how mathematical thinking is communicated, providing examples of strategies for teachers and students to use in the mathematics classroom.

Exploring ways to develop a transformative curriculum vision for mathematics education that is inclusive to opposing perspectives and ideologies, this mindful inquiry explores "mindless" views embedded in the mathematics curriculum of Nepal; explores narrowly conceived disempowering assumptions within it; engages in dialectical…

Mathematics concepts in early childhood education are often predictors later outcomes for student success, because mathematics is a foundational area of academics. The purpose of the research is to engage educators in conversations regarding experiential learning opportunities in early mathematics through curriculum planning and instructional…

In this contribution, we seek to problematise not just mathematics and (global) citizenship but also the process of researching with a critical intent. We argue for a disorderly approach and use researching our participation in a European funded project -- the Project in Citizenship and Mathematics ("PiCaM") -- as an illustration of the…

In Sri Lankan advanced level mathematics curriculum, teachers are required only to provide the intuitive idea of the concept of limit. The purpose of this study is to explore the strategies used by mathematics teachers to achieve this. Twelve in-service secondary mathematics teachers working in government and private schools participated in the…

Normative discourse about probability requires shared meanings for disciplinary vocabulary. Previous research indicates that students' meanings for probability vocabulary often differ from those of mathematicians, creating a need to attend to developing students' use of language. Current standards documents conflict in their recommendations about…

This technical report provides information about the sample, survey instrument, and resultant data for the American Instructional Resources Surveys (AIRS) that were administered to principals and teachers in Spring 2021 via RAND's American Educator Panels. The AIRS focused on instructional resources used and supported in English language arts,…

Effective mathematics teaching for Indigenous language speaking students needs to be based on fair expectations of both students and teachers. Concepts of "age-appropriate learning" and "school readiness" structure assessment expectations that entire cohorts of Indigenous language speaking students are unable to meet. This…

Learning trajectories/progressions are an emerging research focus in mathematics education. A set of descriptors of early progress in mathematics was developed for students with complex needs. Developers leveraged off existing research-based frameworks and meta-analyses, as well as integrating findings from individual research studies in some…