The authors describe and discuss an activity in which primary school students were instructed how to use graph theory to solve a spatial puzzle. This activity was aligned with the design principles of vicarious failure. They discuss how this impacted the type of dialogue observed in the classroom and found that students were more likely to focus…

The mathematics standards for many countries include teaching and learning ratios, typically with efficient algorithms and strategies (Australian Curriculum: Mathematics, Assessment and Reporting Authority, 2017; National Council of Teachers of Mathematics, 2014). In the 1990s, Cramer and Post (1993) claimed that school mathematics mostly involves…

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 purpose of this article is to describe a couple of challenging mathematical problems that involve paper folding. These problem solving tasks can be used to foster geometric and algebraic thinking among students. The context of paper folding makes some of the abstract mathematical ideas involved relatively concrete. When implemented…

This practice report describes how escape rooms have been used by one Australian university to successfully engage with high-school students who reside in areas of relative socio-educational disadvantage. We discuss how the escape room approach aligns with Lizzio's "Five Senses of Success" and offer recommendations for further use and…

Australia has a long-standing interest in fostering innovation capabilities to drive its future prosperity. However, it has only been in recent years that an emphasis on developing these capabilities has been formally extended into the classroom through the introduction of the Australian Curriculum Technologies. In 2017, the State Government of…

Design thinking can be broadly defined as a set of creative skills to understand and problem-solve ambiguous and complex problems, and a practice that places humans at the heart of the design process. Such collaborative ways of design thinking and design-doing are much needed to address twenty-first century challenges such as climate change.…

In order to solve word problems, students need to be able not just to read the words but comprehend what they mean. Paul Swan discusses three tiers of vocabulary that need to be included in the pedagogy of mathematics lessons and strategies for classroom practice.

A significant component of design pedagogy is the need to foster critical design thinking and to support students in understanding links between educational exercises and their potential application in professional design practice. Problem solving is central to design so it is also essential that students understand that there can be multiple…

There is growing demand for online learning activities that offer flexibility for students to study anywhere, anytime, as online students fit study around work and family commitments. We designed a series of online activities and evaluated how, where, and with what devices students used the activities, as well as their levels of engagement and…

Play is traditionally considered the foundation of learning in the early years. Because play is characterized by free choice, it can be difficult for adults to ensure all learning is useful for children. The intervention described here took a novel approach to this problematic. It exposed 17 four-year-olds to different adult demonstrations to see…

University programs are currently faced with a number of challenges: how to engage students as active learners, how to ensure graduates are "work ready" with broad and relevant professional skills, and how to support students to see their potential as agents of social change and contributors to social good. This paper presents the…

The purpose of this article is to describe a couple of challenging mathematical problems that involve paper folding. These problem-solving tasks can be used to foster geometric and algebraic thinking among students. The context of paper folding makes some of the abstract mathematical ideas involved relatively concrete. When implemented…

In the middle years of school, it is important that mathematics is challenging, engaging and focuses on worthwhile mathematics. In this article, Anne Roche describes a lesson that seemed to have all three of these characteristics, as students grappled with issues of scale to create a fun run, given a range of challenging mathematical constraints.…

Today's graduates need the skills to enable them to "persevere in the face of complexity and unresolvability" (McWilliam and Haukka 2008: 660), and to respond creatively in work environments that are increasingly dependent on digital technologies (Cunningham 2006). However, although many higher education institutions (HEIs) acknowledge…