The ability to interpret mathematical symbols and understand how they capture contextual relationships is a critical element of algebraic thinking. More often than not, students see algebra as merely a list of rules for manipulating abstract symbols, with limited to no meaning. Instead, for students to see algebra as a powerful tool and rich way…

Mathematics learning is essential for children with special needs (CSN). The process of learning mathematics at the CSN can be started from concrete to abstract. During the math learning process, many gestures are produced by CSN. Gestures can direct the individual to take and understand the implied meaning of any movement or facial expression.…

In this article, we analyse a script of an imagined classroom interaction from the perspectives of politeness and positioning. The script was written by a prospective teacher, Cara, as part of her Lesson Play. The Lesson Play was prompted by her reflection on how the needs of students who are disaffected with mathematics might be met, an issue…

Nowadays, tablets and their applications are part of the children's daily lives. These digital educational activities can become a potent educational tool for efficient and effective in neurotypical as well as children with autism spectrum disorder (ASD). Tablets and their applications allow children to take advantage of new learning platforms and…

Teacher educators have a moral and civic obligation to examine ways in which language and mathematics are connected and supported in teaching and learning mathematics. It is essential to examine the roles and influence of family, parents, community, teachers, administration, and teacher educators as they collaborate to support learners. Their role…

There is a disconnect between what most curricular documents suggest about connecting classroom pedagogy with learners' language and everyday context, and what the language of mathematics textbooks and the language of mathematics classroom practices present. Attempting to bridge this gap is often a design challenge for classroom teaching practices…

Over the past thirty years, research on teachers' mathematical knowledge for teaching (MKT) has developed and grown in popularity as an area of focus for improving mathematics teaching and students' learning. Many scholars have investigated types of knowledge teachers use when teaching and the relationship between teacher knowledge and student…

In this article, the authors describe a lesson that integrated mathematics and social and emotional learning (SEL), as children used mathematics to read their bodies and to manage their emotions. During the lesson, the authors avoided the tendency to control children's bodies and to unintentionally position SEL as a tool to tame children's…

The purpose of this study is to investigate how students interpret expressions from calculus statements in the graphical register. To this end, I conducted 150-minute clinical interviews with 13 undergraduate mathematics students who had completed at least one calculus course. In the interviews, students evaluated six calculus statements for…

Teacher knowledge is particularly important in middle school mathematics to enhance the meaningful transition from arithmetic to algebra. Developing a solid understanding of algebra requires teachers to unpack the meaning underlying the basic concepts, make clear and explicit distinctions among concepts, and facilitate students to connect these…

This work seeks to understand the emergent nature of mathematical activity mediated by learners' engagement with multiple artifacts. We explored the problem solving of two learners as they aimed to make sense of fraction division by coordinating meanings across two artifacts, one being a physical manipulative and the other a written expression of…

In this work we present the design of a computer-based environment aimed at engaging primary school children in argumentative practices while solving a story problem. Argumentation has been regarded from two points of view, both as a process and as a product. Students, using the collaborative tools offered by the platform, co-constructed shared…

This paper examines proof constructions in group work in the field of linear algebra teaching at the university level. Studies have shown that students at tertiary level have difficulties in understanding different kinds of quantifiers, which are fundamental in linear algebra proof constructions. This study investigates how two student groups,…

Tackling mathematics tasks often involves reading and interpreting different semiotic resources such as natural language (words), mathematical notation, and images. This study aims to enhance knowledge of how meaning relations, in the form of "cohesive ties" between and within different semiotic resources, are related to how difficult it…

Algebraic thinking is an important part of mathematical thinking, and researchers agree that it is beneficial to develop algebraic thinking from an early age. However, there are few examples of what can be taken as indicators of young students' algebraic thinking. The results contribute to filling that gap by analyzing and exemplifying young…