Nicolas Senior shows how EMC3 's Launch-Explore-Summarise/Review model for mathematics lesson structuring sets the conditions to get the most out of both dialogic and direct instruction. He argues that this model will help teachers walk the balance between order and chaos.

In this article, the authors explore how the 3C Model can be used to integrate other curriculum areas with mathematics, namely digital technologies. To illustrate the model, they provide a practical example of a teaching sequence. T he 3C Model is designed to create opportunities for applying reasoning and problem-solving skills and learning…

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.

Research into teachers' epistemic cognition is emerging as a key to understanding the quality of teachers' knowledge for teaching. Typically, investigations into the quality of teachers' knowledge have been situated within traditional subject areas, such as science or maths. However, developing good quality teacher knowledge about improving…

Effective professional learning is acknowledged as a key lever to improve teacher practice. However, many studies report significant variation in the effectiveness of the types of programs on offer. Recently, there has been a move from the traditional single event, passive approach to more collaborative and ongoing forms of professional learning.…

This article presents a lesson that focuses on numeracy. In the lesson, students were tasked to find the best path for a new expressway. The purpose of the activity was for students to gain an appreciation of the complexities associated with designing public infrastructure and to put into practice the mathematical skills. This article also…

The purpose of the study reported in this paper is to evaluate the effectiveness of an implementation of teaching rounds as a practice-based approach to pre-service teacher education in mathematics. The teaching rounds implemented in the study utilised the NSW Quality Teaching model pedagogical framework as a tool for learning about and reflecting…

This article presents the authors' critique of lessons proposed by the Partnership for 21st Century Skills (P21). The authors initiate a discussion about content that they hope will play out in schoolhouses and statehouses across the country. They take on a different task: they present a handful of lesson ideas from P21 that could enhance studies…

This document is the fourth volume of the proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Conference papers are centered around the theme of "Learners and Learning Environments." This volume features 42 research reports by presenters with last names beginning between Mul and Wu:…