As part of a larger project, "Task Types in Mathematics Learning," through the use of a questionnaire, we sought middle years mathematics teachers' insights into the task types they chose to use in mathematics, the reasons for these choices, and the ways (if any) in which their choices had changed as a result of their involvement in the…

Typically, more primary students qualify for mathematics intervention support than schools have the capacity to assist. This highlights the importance of every primary mathematics teacher having the expertise to design inclusive and responsive curricula and instruction for students who may experience difficulty. Our study addresses this issue…

"Let's Count Online" is a new e-learning approach to delivering "Let's Count" professional learning. It was evaluated in 2018. The findings suggest that the e-learning platform was successful, and that the outcomes for educators were similar to those achieved by participants using the face-to-face workshop professional learning…

In the context of a multiplicative problem, our study investigated young children's ability to visualise and draw equal groups. This paper reports the results obtained from 18 Australian children in their first year of school (age 5-6 years). The task "12 Little Ducks," taught by their classroom teacher, provoked children to visualise…

Effective middle leading of mathematics is a complex task as it requires a focus on improving learning outcomes for students. This study gathered information about the activities of middle leaders of mathematics using a survey of primary and secondary mathematics leaders. Both primary and secondary mathematics leaders more often focussed on…

This paper elaborates on the teacher change process described in the Interconnected Model of Teacher Professional Growth by providing empirical evidence from a study that investigated the knowledge construction process of three mathematics teachers in Melbourne, Australia. Through a research design that aimed to facilitate teacher reflection…

This paper reports on the longitudinal results over 12 months of 342 Grade 1 children from 57 schools in Sydney, Australia, who participated in the "Extending Mathematical Understanding" (EMU) Intervention Program. Their vulnerability in four whole number domains is described, and the extent to which this changed after 12 months. Overall…

Thirty primary classroom teachers quantified perceived changes in their practice and knowledge attributed to their school leaders' participation in a six-day course focused on leaders designing and implementing a whole-school reform of mathematics teaching and learning, and the school-based professional learning that followed. The project and…

A central premise of this project is that teachers learn from the act of teaching a lesson and that this learning is evident in the planning and teaching of a subsequent lesson. We are studying the knowledge construction of mathematics teachers utilising multi-camera research techniques during lesson planning, classroom interactions and…

A central premise of this project is that teachers learn from the act of teaching a lesson and that this learning is evident in the planning and teaching of a subsequent lesson. In this project, the knowledge construction of mathematics teachers was examined utilising multi-camera research techniques during lesson planning, classroom interactions…

As part of a project that is examining how to support teachers in the use of challenging tasks and those teacher actions that encourage students to persist, we focused on the activities of students and teachers during seatwork. We describe the nature of teacher interactions with students, student behaviours when working on challenging tasks, and…

As part of a project exploring various aspects of teachers' choice and use of challenging mathematics tasks, we sought some responses from students on their preferences for the difficulty of tasks on which they might work and also on the ways of working. Despite the common finding that teachers are reluctant to pose challenges to their students…

The findings discussed here are a small part of a larger study entitled, "Encouraging Persistence Maintaining Challenge". The paper reports five teachers' observations of the implementation of a task which was new to them. The teachers were asked to identify aspects of the task which they perceived as challenging for the Year 6 students.…

At some stage when planning, teachers make decisions about the mathematics tasks they will pose and how they will structure lessons. It seems, though, that these decisions are complex, and that this complexity has been underestimated by curriculum developers and teacher educators. The following is a report of data collection that simulated some of…

The research reported here was motivated by curiosity about ways of suggesting tasks and activities to teachers that assist them in their planning and which allow them to see the purpose of the suggested tasks. A group of junior secondary teachers involved in a larger project worked through a set of tasks that sought to address the content they…