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 study of higher-level secondary mathematics is considered essential for national economic growth, competitiveness in research and innovation, and further education opportunities. Yet the reported trend within Australian secondary schools is that enrolments in higher-level mathematics are declining and have been in a state of decline for over a…

As a multifaceted concept, the learning of angle concepts takes years to achieve and is beset with challenges. This paper explores how the processes of constructing and validating a learning progression in geometric reasoning can be used to generate targeted teaching advice to support the learning of angle concept. Data from 1090 Year 4 to Year 10…

This paper focuses on using sociocultural theory to support a context-based approach to teaching mathematics. A goal of the research was to explore the opportunities-to-learn of using a context-based approach to enrich student engagement with mathematics. This paper focuses on the practice of one female secondary school teacher as expressed…

Learning to solve more challenging mathematics problems using multiple strategies has been promoted by research and is a feature of numerous curricula. Yet teachers have been found to be reluctant to incorporate these tasks into their lessons predicting resistance from students. This study examined 87 senior secondary students' reactions to a…

"Emoticons" are simple face icons expressing common feelings such as happiness, interest and boredom and are popularly used in electronic communication. Emoticons were utilised in this study as experience sampling devices. Year 10 students selected emoticons to indicate their emotional states at set intervals during classroom tasks.…

This article explores the issues associated with developing ideas of informal inference and introduces the software package, TinkerPlots, as a tool to facilitate this development. The activities suggested in this article are intended for use with middle and secondary students (grades 6 to 10). The data and suggestions presented have arisen mainly…

This paper presents a research-based framework for analyzing and monitoring students' understanding of functions in equation form. The framework consists of "growth points" which describe "big ideas" of students' understanding of the concept. The data were collected from Grades 8, 9, and 10 students using a set of tasks…

Findings from a survey administered to large numbers of grade 7-10 students are presented in this paper. The focus is on the students' attitudes towards the use of computers for the learning of mathematics. Background information was also gathered which allowed the students' responses to be analysed by a range of equity factors--gender, ethnicity,…