This paper describes a task-based dynamic geometry platform that is able to record student responses in a collective fashion to pre-designed dragging tasks. The platform provides a new type of data and opens up a quantitative dimension to interpret students' geometrical perception in dynamic geometry environments. The platform is capable of…

The symbolic manipulation capabilities of computer algebra systems, which we refer to as CAS-S, are now becoming instantiated within secondary mathematics textbooks in the United States for the first time. While a number of research studies have examined how teachers use this technology in their classrooms, one of the most important factors in how…

We explore some key constructs and research themes initiated by Jim Kaput, and attempt to illuminate them further with reference to our own research. These "design principles" focus on the evolution of digital representations since the early 1990s, and we attempt to take forward our collective understanding of the cognitive and cultural…

We examine teachers' classroom activities with the spreadsheet, focusing especially on episodes marked by improvisation and uncertainty. The framework is based on Saxe's cultural approach to cognitive development. The study considers two teachers, one positively disposed towards classroom use of technology, and the other not, both of them…

The nature of mathematical reference fields has substantially evolved with the advent of new types of digital technologies enabling students greater access to understanding the use and application of mathematical ideas and procedures. We analyze the evolution of symbolic thinking over time, from static notations to dynamic inscriptions in new…

Jim Kaput lived a full life in mathematics education and we have many reasons to be grateful to him, not only for his vision of the use of technology in mathematics, but also for his fundamental humanity. This paper considers the origins of his "big ideas" as he lived through the most amazing innovations in technology that have changed our lives…

From preliminary analysis of teacher-nominated examples of successful technology-supported practice in secondary-school mathematics, the use of graphing software to teach about algebraic forms was identified as being an important archetype. Employing evidence from lesson observation and teacher interview, such practice was investigated in greater…

Technology is available and accessible in many mathematics classrooms. Adopting technology to support teaching and learning requires teachers to change their teaching practices. This paper reports the responses of a diverse cohort of 92 secondary mathematics teachers who chose to respond to an Australian state-wide survey (Mathematics with…

This research focuses on some of the affordances provided by SimCalc software, suggesting that its use can have important consequences for students' mathematical affect and motivation. We describe an episode in an inner-city SimCalc environment illustrating our approach to the study of affect in the mathematics classroom. We infer students'…

Assuming that dynamic features of Dynamic Geometry Software may provide a basic representation of both variation and functional dependency, and taking the Vygotskian perspective of semiotic mediation, a teaching experiment was designed with the aim of introducing students to the idea of function. This paper focuses on the use of the Trace tool and…

Investigates the conditions and constraints of the integration of the dynamic geometry software Cabri into the teaching of geometry in primary school classes (10-year-old pupils). Focuses on the way the dialectic between old and new is working during this integration, looking at the types of tasks and techniques proposed in class by teachers.…

Presents a semiotic analysis of the potential of computer algebra systems (CAS) for enabling mathematical activity on a conceptual level higher than usual. Illustrates examples of theoretical points from a development project in the context of a first year university course in calculus. Discusses how CAS may be used in a didactical analysis and in…

Investigates the benefits and limitations of using pre-constructed, web-based, dynamic geometry sketches in activities related to deductive proof at the secondary school level. Focuses on the relationship between the design of materials and the exploration process. Draws attention to the idea that pre-constructed dynamic geometric sketches and…

The effects on college students' (n=110) attitudes of using a microcomputer as a demonstration aid was investigated in an intermediate algebra class. Results suggest a significant treatment effect on students' attitude favoring the microcomputer treatment group. (16 references) (MDH)

Two fourth-grade classes served in a study that employed computers for promoting autonomous learning processes through solving challenging problems adapted to students' aptitudes using the number line as an intuitive model. Findings showed that students have preinstructional intuitions and informal knowledge of negative numbers. (24 references)…