The main aim of this paper is to propose a critical view of the application of Toulmin's model of argument to mathematics education, focusing on aspects that have strong teaching implications. It is claimed that Toulmin's description of arguments in mathematics, in particular as regards the relations between form and meaning, is misleading and out…

This article investigates how engaging students to discuss topics that reflect their ideologies in lingua franca (LF) virtual exchanges can help facilitate global citizenship development. A six-week virtual exchange is explored with students from universities in Mexico, Poland, Spain, and the USA. This study utilizes five key elements of…

In teaching bi/multilingual students, translanguaging underscores "what students know and can do (speak two languages) instead of what they do not know (English)" (Phakeng & Moschkovich, 2013, p. 125). Employing translanguaging strategies in the mathematics classroom can create an inclusive learning environment that values students'…

The use of the algebraic method for solving word problems is a challenging topic for secondary school students. Students' difficulties are usually associated with extracting the problem's network of relationships between quantities and with formalizing these relationships into algebraic language in a problem model. Both sources can coexist and…

Mathematics is, universally, considered the heartbeat of the Science, Technology, Engineering and Mathematical (STEM) education. Accordingly, the learners must be equipped with strong mathematical proficiency very early in life. This behoves mathematics practitioners to use various impactful pedagogical strategies. The bigger action research from…

This doctoral dissertation explores diverse facets of online research and comprehension among college students with English as a second or foreign language (L2 students). The research involves three distinct investigations within this overarching theme. Firstly, the study delves into the online reading and writing practices employed by Korean L2…

Effective math instruction is crucial for developing students' problem-solving abilities. This Spotlight explores key strategies and approaches to enhance math teaching and learning. From laying the foundation for algebra in kindergarten to improving understanding of fractions, these articles offer valuable perspectives. Discover how to help…

This article uses a cultural-developmental framework to illuminate the interplay between collective and individual activity in the mathematical reasoning displayed in a university Masters level lesson on fractals. During whole class and small group discussions, eleven students, guided by an instructor, engage in inductive reasoning about the area…

The learning of mathematics poses specific linguistic challenges. Amongst them, teachers and students need to be able to unpack the language used in mathematics word problems to understand its context, discern the relationships between the known and unknown information, and identify relevant solution strategies. Prior research has described some…

This paper focuses on Emergent bilinguals (EBs) who traditionally face unequal opportunities to learn mathematics, harming their identities. The purpose of this paper is to illustrate how a fifth grade teacher cultivated the development of her EBs' mathematical identities by giving them opportunities to participate in cognitively demanding…

This action report presents a pedagogically-sound approach to transforming conventional EFL instruction into an active learning environment. Following a constructivist project-based learning (PBL) approach, I propose a WebQuest learning module to demonstrate how EFL teachers can capitalize on cost-effective and user-friendly website builders to…

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…

Students' grasp of the non-mathematical language in a mathematics story problem--such as vocabulary and syntax--may have an important effect on their problem-solving, and this may be particularly true for students with weaker language skills. However, little experimental research has examined which individual language features influence students'…

Recent reform efforts state the importance of providing students with opportunities to persevere with challenging mathematics to make meaning. We posit translanguaging practice as a vital option by which Latinx bilingual students can sustain collective perseverance during problem solving. In this paper, we employ a constant-comparative overlay…

We report on a study investigating the influence of context, direction of translation, and function type on undergraduate students' ability to translate between graphical and symbolic representations of mathematical relations. Students from an algebra-based and a calculus-based physics course were asked to solve multiple-choice items in which they…