Special tutorials both online and off-line were experimented in order to provide extra support for the senior pre-service mathematics teachers at an Australian regional university to improve their learning experience and achieve the best possible learning outcomes in an advanced mathematics course focusing on solving ordinary differential…

Network analysis is a topic in secondary mathematics education of growing importance because it offers students an opportunity to understand how to model and solve many authentic technology and engineering problems. However, very little is known about how students make sense of the algorithms typically used in network analysis. In this study, I…

In this paper, we introduce 'Concept Questions,' a weekly writing assignment that has been incorporated into multiple upper-level engineering courses at a single university with the intent of enhancing students' conceptual understanding of the course content. To explore the influence of this activity on students in these courses, we compared…

Systems thinking is recognized as an essential skill for understanding complex problem solving and decision making associated with many of the contemporary issues faced by individuals and communities. In this article, our goal is to contribute to the knowledge of curriculum and pedagogy of formal systems thinking teaching in higher education. We…

It is hard to imagine that, eight hundred years on, the study of Fibonacci could affect the lives of teenagers in Australia. Or is it? A mathematics class of more able Year 9 students in a regional city of Western Australia feels that it has happened to them. Thirty-two students submitted a Fibonacci task as a mathematics assessment, with many of…

Student learning is greatest in classrooms where students engage in problem solving tasks that are cognitively demanding. However, there are growing concerns that many Australian students are given limited opportunities to engage in these types of tasks. 108 upper primary school teachers were surveyed to examine task features and cognitive demand…

The ubiquitous practice of providing worked solutions to exercises in mathematics education has been under-researched. Little is known about what elements of a worked solution are valued by students. This exploratory study sought in-depth feedback from six undergraduate students who experienced a range of worked solutions designed to encourage…

This paper firstly introduces the concept of constructivist learning which advocates that students actively construct knowledge themselves with teachers' assistance. Based on the six important elements of constructivist learning and teaching planning approach, detailed examples of designing the six constructivist elements of situation, groupings,…

As part of one of the undergraduate Bachelor of Education units offered as a specialisation unit in primary mathematics education at The University of Notre Dame Australia, the pre-service teachers were asked to complete an assignment. In this assignment they were given 12 typical algebra text book problems which they were asked to solve and then…