This paper explores use of a set of diagrammatic tools for representation and analysis of the moves a teacher makes implementing a mathematical modelling task. The focus here is on identifying what the teacher did so we can subsequently interrogate this, as to the why. Data include pre and post lesson teacher interviews and transcripts of a video…

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.

This paper investigates students' mathematical modeling activity in data-rich modeling tasks. It aims at gaining insight into how students develop meaning when modeling data-rich situations and the mathematical models produced. A tendency to model a particular dataset, rather than the phenomenon that the dataset is a particular instance of, has…

The proposed revisions to the "Australian Curriculum: Mathematics" highlight the importance of learning to mathematise, problem-solve and reason in real world contexts, including financial contexts. Through the Economics + Maths = Financial Capability research project, the authors have been imagining fresh ideas for connecting the…

Event-based prospective memory (PM) tasks require participants to substitute an atypical PM response for an ongoing task response when presented with PM targets. Responses to ongoing tasks are often slower with the addition of PM demands ("PM costs"). Prominent PM theories attribute costs to capacity-sharing between the ongoing and PM…

This research article reports on two correlational studies that examined the notion of "optimized functioning." Optimized functioning, introduced in a recent published study, offers an alternative approach into the understanding of optimization. Optimized functioning is proposed to consist of four distinctive components: personal…

The Encouraging Persistence Maintaining Challenge (EMPC) Project has been working with secondary teachers in Melbourne as they seek to build persistence in students, during work on challenging mathematics tasks. The authors have developed sequences of tasks in various topic areas for Years 7 and 8, which require students to connect different…

After passage of the Every Student Succeeds Act (ESSA) in 2015, states assumed greater responsibility for designing their own accountability and assessment systems. ESSA requires states to measure "higher order thinking skills and understanding" and encourages the use of open-ended performance assessments, which are essential for…

Future employers increasingly require work-ready graduates. Higher education institutions throughout the world have responded through reforming the curriculum of major strands of study to incorporate graduate attributes. In this case study, we explicitly taught graduate attributes, obliged students to practice their newfound capabilities, gave…

The Every Student Succeeds Act (ESSA) opened up new possibilities for how student and school success are defined and supported in American public education. States have greater responsibility for designing and building their assessment and accountability systems. These new opportunities to develop performance assessments are critically important…

Decision-makers effortlessly balance the need for urgency against the need for caution. Theoretical and neurophysiological accounts have explained this tradeoff solely in terms of the "quantity" of evidence required to trigger a decision (the "threshold"). This explanation has also been used as a benchmark test for evaluating…

While there are many considerations for effective mathematics teachers, one key factor is the development of a classroom culture that supports the desired form of learning. In examining the opportunities and constraints associated with posing challenging tasks, we are exploring ways that teachers might influence classroom culture positively. The…

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…

The results of the study reported in this article found that primary-aged students used context knowledge in three broad ways: (1) to rationalise the data or their interpretations; (2) in taking a critical stance toward the data; and (3) in ways that were not necessarily productive or pertinent in addressing the task at hand. When teaching…

The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…