Solving mathematical problems is cognitively complex, involving strategy formulation, solution development, and the application of learned concepts. However, gaps in students' knowledge or weakly grasped concepts can lead to errors. Teachers play a crucial role in predicting and addressing these difficulties, which directly influence learning…

As part of a longitudinal case study on engagement in middle years mathematics, 20 students attending their first year of secondary school in Western Sydney were asked to provide views on their experiences of the transition to secondary school in relation to mathematics teaching and learning. Differences in teacher-student relationships caused the…

This study was an expanded replication of an earlier endeavor (Shermis, Burstein, & Bliss, 2004) to document the writing outcomes associated with automated essay scoring. The focus of the current study was on determining whether exposure to multiple writing prompts facilitated writing production variables (Essay Score, Essay Length, and Number…

The purpose of this report is to investigate the range of student responses in three domains--hypothesizing, organizing data, and algebraic generalization of patterns during their work on a spreadsheet-based activity. In a wider context, we attempted to investigate students' utilization schemes of spreadsheets in their learning of introductory…

Equity and computer use for secondary mathematics learning was the focus of a three year study. In 2003, a survey was administered to a large sample of grade 7-10 students. Some of the survey items were aimed at determining home access to and ownership of computers, and students' attitudes to mathematics, computers, and computer use for…

We report on one aspect of a longitudinal study which seeks insight into the ways in which spreadsheet experience and teachers' pedagogic strategies shape pupils' construction of meaning for algebra. Using data from stimulated recall interviews we analyse the evolution of meaning for variable through the mediation of the variable cell and the…

The initial phase of the Maine Learning Technology Initiative (MLTI) provided all 7th and 8th grade students and their teachers with laptop computers. In the fall of 2003, a survey of all teachers involved with the program was administered by Maine Education Policy Research Institute to determine how and to what extent the technology was being…

This paper provides an analysis of a teacher development experiment (cf. Simon, 2000) designed to support teachers' understandings of statistical data analysis. The experiment was conducted as part of collaborative efforts between the author and a cohort of middle-school mathematics teachers during the 2000-2001 academic year. Analysis of the…

This paper describes an approach to mathematics teaching and learning using teacher-constructed "virtual" materials. In this approach, virtual copies of real materials are manipulated with mouse movements to replicate the traditional physical manipulation of real materials. The paper reports on three case studies where the approach was…

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,…