The purpose of this study is to observe the changes on pre-service teachers' cognitive (i.e. fluency, flexibility, and originality) and affective outcomes (e.g. perceptions towards creativity-directed tasks, beliefs about the nature of mathematics) related to mathematical creativity after they participated in a creativity-focused mathematics…

In this study, we aim to explain choices that groups of preservice teachers made to implement modelling tasks in primary school. We found that the preservice teachers decided to facilitate everyday-inspired contexts for the tasks and that this could be explained by their reasoning that modelling is supposed to be an activity close to reality.…

Proportional reasoning is important to students' future success in mathematics and science endeavors. More specifically, students' fluent and flexible use of scalar and functional relationships to solve problems is critical to their ability to reason proportionally. The purpose of this study is to investigate the influence of systematically…

Narratives that capture children's learning as they go about their day-to-day activities are promoted as a powerful assessment tool within early childhood settings. However, in the New Zealand context, there is increasing concern that learning stories--the preferred form of narrative assessment--currently downplay domain knowledge. In this paper,…

This is the report of an investigation in partnership with a team of junior secondary classroom teachers of the potential of posing more challenging tasks to their students. A range of data sources are used to represent the experience of teachers and students in a unit of work that incorporated a range of challenging tasks. Students learned the…

This article presents an examination of the language demands of cognitively demanding tasks and proposes an initial framework for the language demands of higher-order mathematics thinking practices. We articulate four categories for this framework: "language of generalisation," "language of comparison," "language of proportional reasoning," and…

The goal of Indigenous education is that it should be approached on the basis of the Indigenous language and culture; this is also the case with Sami education. The Sami School Board has stated that all teaching in Sami schools should be culturally based, despite the fact that Sami culture-based teaching is not specifically defined. Therefore,…

In this article results from an examination of beliefs about teaching and learning primary mathematics are reported. Commencing and graduating pre-service teachers completed written surveys and interviews. Common to many pre-service teachers were memories of mathematics lessons with teacher demonstrations, completing set exercises, using…

This research is a case study examining numeracy teaching and learning practices in an early childhood multiage setting with Pre-Primary to Year 2 children. Data were collected via running records, researcher reflection notes, and video and audio recordings. Video and audio transcripts were analysed using a mathematical discourse and social…