Using mathematical modelling to solve problems appears in all year levels in the Australian Curriculum: Mathematics (v. 9), and is probably the most authentic way of teaching mathematics in context. However, the term mathematical modelling, even if familiar to teachers, may not be well understood or enacted confidently by teachers in their…

The revised Australian curriculum presents a new emphasis in primary schools on the process of Mathematical Modelling. A modelling focus brings close attention to confidence and capability with a potentially new problem-solving process, associated language, and pedagogical processes. This paper presents a Year 4 classroom modelling experience that…

This is the first of four columns by Tim Erikson which introduces us to the Common Online Data Analysis Platform (CODAP). CODAP is a free, web-based software tool that your students can use for many types of tasks. This first column shows how CODAP can be used for mathematical modelling and where it might fit with the "Australian Curriculum:…

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…

In this article, the authors explore how the 3C Model can be used to integrate other curriculum areas with mathematics, namely digital technologies. To illustrate the model, they provide a practical example of a teaching sequence. T he 3C Model is designed to create opportunities for applying reasoning and problem-solving skills and learning…

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…

There is considerable evidence that parents/guardians play an important role in their children's education. The supportive behaviours of parents have important implications for children's learning. However, most research in this area has focused primarily on the perspectives of school leaders, teachers and parents. One area that thus remains…

This article presents the journey taken by staff at St. Patrick's Primary School in Kilmore to implement a consistent approach to the teaching of mathematics, using an instructional model to support student learning through structured inquiry pedagogies.

Purpose: The purpose of this paper is to propose an experiential entrepreneurship work-integrated learning (EE WIL) model recognising that the development of an entrepreneurial mindset enables graduates to manage their careers in uncertain labour markets. The model shows how students develop relationships with their professional community, and not…

Exceptional talent includes the ability and willingness to solve varied, complex problems, and having a knowledge structure that facilitates problem solving and creativity. The purpose of this study was to determine changes in students' knowledge structures resulting from fidelity of implementation of Real Engagement in Active Problem Solving…

Real Engagement in Active Problem Solving (REAPS) is an evidence-based model for building on and extending the characteristics of gifted learners, enabling them to develop their exceptional talents. The purposes of this study were to (a) identify teachers who implemented the method at a high level of fidelity and (b) describe their ways of…

The purpose of this study was to explore general education teachers' perceptions of their experiences while implementing the Real Engagement in Active Problem Solving (REAPS) model. REAPS is an evidence-based teaching model for challenging and engaging gifted students in a variety of settings. Twenty-three teachers answered 7 semi-structured…

Teaching is more effective when students are taught through research-based teaching approaches that have been found to be successful in producing the outcomes they advocate. However, use of an effective instructional strategy does not ensure learning, because the success of a sound approach is determined by how well it is implemented. The purpose…

In response to increasing teacher interest in how to design and implement effective challenging tasks, James presents the Launch/Explore/Discuss model that builds on the work of leading Australian educators and researchers Peter Sullivan, Doug Clarke, and Charles Lovitt.

The Queensland Certificate of Education (QCE) system is Queensland's senior school qualification. To support the introduction of the system in 2019, existing senior syllabuses were redeveloped and a new senior assessment model was established, this included the implementation of a mandatory high-stakes assessment task, the Problem-solving and…