Students at the elementary level should have opportunities to critique the world through mathematics and to see themselves as capable doers of mathematics. The lesson described in this article prompted students to consider how to use mathematics to organize an emergency evacuation. In this article, the authors show how small changes to a task…

Children's multiplicative thinking as the recognition of equal group structures and the enumeration of the composite units was the subject of this research. In this paper, we provide an overview of the Multiplication and Division Investigations project. The results were obtained from a small sample of Australian children (n = 21) in their first…

This paper studies the knowledge developed by a group of sixty-two pre-service primary teachers during a training session on the definition of a polygon and the mathematical practice of defining. We explore the knowledge developed by pre-service teachers when they carry out a series of training tasks oriented around the practice of defining with…

This article aims to outline the important role of the summary phase within a mathematics instructional model and provide six strategies to support teachers to move beyond "share time." By drawing upon good teaching strategies during the summary phase, teachers can enhance the learning experience for themselves and for their students.…

Mathematically gifted students need differentiated tasks in mixed-ability classrooms, and studies evaluating the use of these tasks in classrooms are of crucial importance. Thus, the present study examines how the use of differentiated tasks nurtures mathematically gifted students from the perspectives of mathematics teachers and their gifted…

This article presents a story of practice regarding how a primary school addressed the issue of supporting English as an additional language or dialect (EAL/D) learners to communicate and reason in mathematics. A shared understanding across the school uncovered teachers have a critical role in supporting EAL/D learners and their acquisition and…

In response to increasing teacher interest in how to design and implement effective challenging tasks, James presents the Launch/Explore/Discuss model that builds on the work of leading Australian educators and researchers Peter Sullivan, Doug Clarke, and Charles Lovitt.

The authors describe a mathematics lesson designed to allow students to use their own thinking to solve elapsed time problems. Their approach emphasises student-centered structured inquiry, and follows a 'Launch, Explore and Summarise' format.

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…

In this study, we designed and applied physical computing lessons for elementary 6th-grade students based on the software education guidelines in the Korean 2015 Revised National Curriculum (Ministry of Education, 2015a). The participants of this study were ten 6th-grade students of an elementary school in Gyeonggi-do province in Korea. The…

Recently, one has become concerned about the quality of natural science and social education basics of the primary school students. Particular attention is devoted to the higher-order thinking ability education. In the qualitative research, it was analysed what higher order thinking questions and tasks primary school teachers apply in the world…

This paper outlines a seven-step process for developing problem-solving tasks informed by cognitive load theory. Through an example of a task developed for Year 2 students, we show how this approach can be used to produce challenging mathematical tasks that aim to optimise cognitive load for each student.

Reasoning about graphical representations representing dynamic data (e.g., distance changing over time), including interpreting, creating, changing, combining, and comparing graphs, can be considered a domain-specific operationalization of the general twenty-first century skills of creative, critical thinking and solving problems. This paper…

Elementary French immersion (FI) language arts teachers often organize instruction around small learning groups. Students rotate through learning stations/centres and work independently with their peers on L2 literacy skills. This study examined how principles of task-based language teaching (TBLT) can be used and/or adapted to further support…

Purpose: The purpose of this paper is to examine how lesson study can lead to teacher learning and improvement of instruction by developing teachers' mathematical-task knowledge and by supporting teachers' selection, modification, and implementation of mathematical tasks. Mathematical-task knowledge includes knowledge needed to use tasks that…