Mathematical thinking – Teaching & Learning Research Initiative

Capturing learning in undergraduate mathematics: a Learning in Undergraduate Mathematics: The Outcome Spectrum (LUMOS) report

Dedication Judy Paterson sadly passed away during this research project. However, her contribution was a major one, co-leading the design and grant application team, taking responsibility for the Team-Based Learning innovation, conducting interviews, and contributing strongly in several of the learning output observation groups. We dedicate this report to her memory. – Bill Overview of the project The LUMOS Project had two parts: the development of three innovative methods of undergraduate mathematics course delivery, and the identification and observation of a wide range of desired learning outcomes. This project sought to link these aspects. The research questions were: What practical, pedagogical, administrative and curricular barriers need to be overcome to establish

Using multiplication and division contexts to enhance young children’s part–whole thinking in mathematics

Project description This project built on previous research showing that insufficient numbers of children reach expected levels of achievement in mathematics. Māori, Pasifika, and students from lower decile schools are particularly disadvantaged. Young children should be given equitable opportunities to develop their mathematical thinking, particularly in all strategy domains of the New Zealand Number Framework. These include not only addition and subtraction (the predominant focus in junior classes), but also multiplication, division, and fractions. This project aimed to provide children with learning opportunities and challenges within the context of multiplication and division, with the goal of developing greater understanding of part–whole relationships in mathematics. Methodology The research question posed was: How