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…

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…

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…

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…

During professional development, the authors learned about strings--a powerful instructional routine used in elementary classrooms to elicit students' mental mathematics strategies and use those strategies to build conceptual understanding. Strings provided the authors with a way to make relatively small changes to guided notes in algebra 1,…

Number talks encourage mathematical discourse and develop students' reasoning about number and operation (Parrish 2011). In a number talk, a teacher presents a purposefully crafted computation problem to solve mentally. Students share their solutions and explain their processes with the teacher facilitating the discussion through strategic…

The study examines language dimensions of mathematical word problems and the classification of mathematical word problems according to these dimensions with unsupervised machine learning (ML) techniques. Previous research suggests that the language dimensions are important for mathematical word problems because it has an influence on the…

This phenomenological study research presents an option to use both discourse in the native language and technology as an alternative to improve the understanding of mathematics in secondary education. 13 students whose native language is Spanish attended a high school in a large urban school district in the Southwest of the United States,…

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.…

Engineering educators express concern that undergraduate engineering students solve problems procedurally without the necessary conceptual understanding. While research in engineering dynamics has focused on using technology to improve student performance, this article focuses on using representations for modelling problem solving in the lecture.…

Strategic competence, as a meta-cognitive ability, determines the other translation sub-competences. To tease out how students' strategic competence is developed in translation project is significant in enlightening the translation teaching practice. This study explores how five Chinese college students' translation competence, particularly their…

Building from the evidence-based learning progression in geometric reasoning from the RMFII project, this paper presents data from students' solutions to three problems in geometry and measurement situations to identify key components needed to nurture reasoning. To show emerging analytical reasoning students must coordinate multiple pieces of…

This paper describes how fifth-grade English Learner students (ELs) in an urban school district develop the mathematics register during a problem-solving lesson. It provides examples of students' work to illustrate how they use the mathematics register to communicate their mathematical ideas orally and in writing. The teacher implemented teaching…

Choosing the right word to express meaning can be a challenge for English language learners (ELLs) in both English as second language and English as a foreign language settings, persisting through all proficiency levels in productive language use for several reasons. In order to make correct word choices, ELLs must master the various aspects of a…

Prior research has used many variants of "be creative" or brainstorm instructions to enhance creativity in a variety of tasks. However, differences in instruction wording may lead to differences in instruction interpretation, and varying the placement of instructions before or after a written problem description may lead to differences…