This article aims to illustrate how the collective resolution of routine mathematical tasks can give rise to uncertainties, fostering and supporting a rich and authentic mathematical activity. While solving routine tasks may not typically be classified as problem-solving, the research presented in this paper shows that, at the collective level,…

Educational escape rooms (ER) are an instructional activity designed to incorporate many elements of recreational ERs, which have become popular in recent years. There are many reasons to consider incorporating educational ERs into K-12 math instruction or after-school programs/camps. First, they are highly motivating for students because they…

Metacognition supports students in successfully working through struggle by equipping them with the tools to maintain an awareness of what they are doing and to change directions when needed to overcome obstacles. Thus, it is of little surprise that effective problem solvers spend a significant amount of time analyzing tasks relative to the amount…

Studies have found that some teacher professional development programs that are based on Cognitively Guided Instruction (CGI) can increase student mathematics achievement. The mechanism through which those effects are realized has been theorized, but more empirical study is needed. In service of this need, we designed a novel measure of…

In the 21st - century skills - oriented education, this study aims to bridge the gap in traditional mathematics teaching, which often addresses teamwork and problem - solving skills independently. It focuses on designing and assessing an integrated instructional model using Problem - Based Learning (PBL) via Collaborative Learning (CL) to equip…

The purpose of this article is to introduce a lesson fondly referred to as the 'Lego Shop' lesson. It stands out as not only the most engaging lesson we've conducted but is also highly adaptable to accommodate a diverse range of learners. Successfully implemented across all year levels, from Foundation to Year 6, this lesson has proven to be…

"Nature-based learning" is learning through exposure to nature and nature-based activities (Jordan and Chawla 2019). Nature and mathematics can be connected through teaching and learning with natural materials (objects from nature) or teaching and learning in outside spaces. In this article, the authors elaborate on the rationale for…

This paper reports on a project that sought to enhance problem-solving practices within a cluster of primary schools. In-service teachers' description of their approach to problem-solving suggested it was treated as an isolated practice that occurred after concepts had been taught; often focusing on teaching particular problem-solving strategies…

In this paper we consider how the integration of mobile technology apps into classroom practice can form an alternative pedagogical medium that influences the learning process in mathematics. We give an account of one aspect of a research project that examined the use of tablets and apps in primary school mathematics programmes and report teacher…

This study investigated the features of elementary students? problem solving skills, when teachers provide scaffolding in the process of solving an illstructured problem in an elementary school mathematics classroom in Seoul, South Korea. In this study, participants solved the ill-structured problem following the phases of Analyze, Browse, Create,…

Off-task activity is ubiquitous in classrooms, yet little understood. Building on recent work that illustrates the utility of off-task activity to disrupt relations of power among students, this article explores the potential functions of off-task participation during collaborative mathematics problem-solving. We examined 56 instances of off-task…

Off-task activity is ubiquitous in classrooms, yet little understood. Building on recent work that illustrates the utility of off-task activity to disrupt relations of power among students, this article explores the potential functions of off-task participation during collaborative mathematics problem-solving. We examined 56 instances of off-task…

The present study took a reciprocal learning approach to examine Canadian and Chinese elementary school students' (N=40) mathematics problem posing and problem solving. Data included student performance, Skype meeting videos, meeting notes, and interviews transcripts through direct and indirect interactions between a pair of Canadian and Chinese…

The aim of the study was to plan and implement teaching activities for the development of mathematical literacy and evaluate the reflective interviews of pre-service elementary school teachers on developing a mathematics activity for mathematical literacy. Accordingly, the study was conducted in embedded design, one of the mixed method research…

In this paper, I report on one teacher's journey of change in grouping her students for mathematics learning. In addition, I describe and illustrate the design and implementation of a smart tool used for planning for effective grouping in collaborative mathematics problem-solving. The findings illustrate that when explicit teacher support is…