In Victoria, Australia, senior secondary mathematics students are expected to use technology and thus need to make decisions about using pen-and-paper (P&P) or technology when solving mathematics problems. The predominant technology is a Computer Algebra System (CAS). This study investigated the beliefs about CAS held by twelve Year 11…

This paper provides a set of five indicators of CAS use, which provide a means to analyse a student's written solution to determine whether they used CAS for solving a given problem. These indicators provide a way for researchers and teachers to determine CAS use without requiring classroom observation or the explicit recording of extra…

The current Australian Curriculum mandates that technology be utilised to support students to "investigate, create and communicate mathematical ideas and concepts" (ACARA, 2018). However, research reports suggest that use of digital technologies in Australian primary mathematics often focuses on the lower-order drilling of algorithms and…

This paper reports on a study of choices about the use of a computer algebra system (CAS) or pen-and-paper (p&p) by a class of seven Year 11 Mathematical Methods (CAS) students as they completed a calculus worksheet. Factors that influenced students' choices are highlighted by comparing and contrasting the use of CAS and p&p between…

Educators, policymakers, and parents alike are focused on ensuring the academic success of the nation's students. These efforts interact with the expanding use of technology, which affects the lives of students both inside and outside of the classroom. Thus, the role that technology plays in education is an evolving area of research that continues…

For more than one hundred years teachers have paddled beside the great ocean of mathematical adventure. Between them they have taught millions of young people. A few have dived in and kept swimming, some have lingered on the shore playing in pools, but most have dipped their toes in and run like heck in the other direction never to return. There…

This study explored the potential of digital games as learning environments to develop mindsets capable of dealing with complexity in the domain of sustainability. Building sustainable futures requires the ability to deal with the complex dynamics that characterize the world in which we live. As central elements in this system, we must develop the…

This paper reports the impact of a collaborative professional experience model on pre-service secondary mathematics teachers' perspectives and practices within a learning community. Nine pre-service teachers made 12 school visits over one year to observe and co-teach problem-solving lessons in two Year 8 classes. They discussed the lesson with the…

This paper draws on a one year study of three secondary school classrooms to examine the nature of student-student-technology interaction when working in partnership with computer algebra systems (CAS) on mathematical modelling tasks and the classroom affordances and constraints that influence such interaction. The analysis of these data indicates…

This article presents key steps in the design and analysis of a computer based problem-solving assessment featuring interactive tasks. The purpose of the assessment is to support targeted instruction for students by diagnosing strengths and weaknesses at different stages of problem-solving. The first focus of this article is the task piloting…

Presents a model based on a bicycle metaphor for teaching problem solving and computer-mediated solutions, discusses its implications for education, and lists ten strategies applied using the model. Provides a unit plan on using spreadsheets to explore Australian convict history, outlining establishment, development, interpretation, and…

Dozens of Australian "laptop" schools are following the lead of Methodist Ladies' College (an independent pre-K-12 school) in personal computing and are using some of their pioneering professional development models, including in-classroom collaboration, "slumber parties," and build-a-book workshops. Guidelines for implementing…

Explored the performance of primary school children in Logo programming tasks while they worked in one of three gender pairs (girl, boy, or boy-girl). Found no considerable differences in performance based on gender. Results suggest that what distinguished performance was the application of metastrategic processes--the most effective solutions…

In this paper, we discuss the role of the educator in terms of designing a learning environment for the student which encourages the student to develop their own academic integrity. In such an environment, there is no need for the student to resort to plagiarism, as the learning and assessment tasks are not conducive to cheating, being unique and…

This paper reports on one dimension of a longitudinal study that researched the impact on student creativity of a unique intervention program for elementary (year 6 and year 7) students. The intervention was based on the Australian National Profile and Statement for the curriculum area of Technology. The intervention program comprised…