Graphing function is an important issue in mathematics education due to its use in various areas of mathematics and its potential roles for students to enhance learning mathematics. The use of some graphing software assists students' learning during graphing functions. However, the display of graphs of functions that students sketched by hand may…

This paper reports on the role of the graphing calculator (GC) in the learning of derivatives and instantaneous rate of change. In a longitudinal study, we administered task based interviews before and after the introduction of calculus. We analyzed students' use of the GC in these interviews. This paper reports on the case of one student, Andy,…

The integration of digital technology confronts teachers, educators and researchers with many questions. What is the potential of ICT for learning and teaching, and which factors are decisive in making it work in the mathematics classroom? To investigate these questions, six cases from leading studies in the field are described, and decisive…

The purpose of this study was to investigate how the use of TI-Nspire[TM] could enhance the teaching and learning of calculus. A conceptual framework for the use of TI-Nspire[TM] for learning calculus in a mathematics classroom is proposed that describes the interactions among the students, TI-Nspire[TM], and the learning tasks, and how they lead…

Technology can help develop understanding of abstract mathematical concepts through visualisation and graphic representation. The teaching and learning of calculus can be challenging as it involves abstract and complex ideas. The purpose of this study was to investigate how students and teachers attempt to use TI-Nspire, the latest graphing…

Calculus at the secondary school level has traditionally represented the peak of school mathematics in Australia, and has been available only to the most capable students. Until recently, many calculus curricula have focused on developing standard techniques, such as those concerned with differentiation and integration, with an emphasis on…

Explores the extent and nature of students' calculator usage as determined from examination scripts in the Western Australian Calculus Tertiary Entrance Examination. Discusses errors made and understanding called upon for seven questions. Discusses instruction and assessment of skills associated with graphical interpretation. (Author/KHR)

Describes students' written answers that seemed technology-assisted in the 1999 Calculus Tertiary Entrance Examination (TEE). Illustrates how in the 1999 Calculus TEE some students used their calculators in flexible ways. (ASK)

Describes an inquiry into students' uses of graphics calculators in the Tertiary Entrance Examination of Calculus in Western Australia for 1998. Discusses a comparative analysis of boys' and girls' performances. Indicates that the main areas of difficulty for students are interpreting graphing calculator outputs and knowing when use of graphing…

Surveys a group of students who enrolled in a first year university mathematics course to study the impacts of graphing calculators on the Western Australian Tertiary Entrance Examination (TEE). Considers the perceptions of students on their use of and preparation to use graphing calculators. (ASK)

The paper concerns the analysis of the role of artefacts and instruments in approaching calculus by graphic-symbolic calculator at high school level. We focus on an element of the introduction of calculus: the global/local game. We discus the hypothesis that the zoom-controls of calculator support the production of gestures and metaphors that…

Investigates gender-related effects on the Western Australian Calculus Tertiary Entrance Examinations for the period 1995-2000, three years before and three years after graphics calculators were introduced. Considers students' total examination scores, scores on questions grouped by curriculum components, and students' use of graphics calculators…

This paper documents how eight high school students in a precalculus class enhanced with graphing calculators think about functions. Three models of thinking about functions emerged from students' function images observed over a period of 9 months. In the graph model, students believed that functions are essentially graphs; in the equation model,…

This paper provides a pragmatic view of efficient use of graphics calculators. Efficiency is described in terms of quick and easy calculation, as debated and evidenced in a Year 12 calculus class. Students' methods of calculation are analysed in terms of the algebraic understanding and technical skills that underpinned them. Patterns in students'…

This CD-ROM contains the lectures, abstracts, workshops, and posters of all participants in the Third International Conference on Technology in Mathematics Teaching (ICTMT 3). Various topics on teaching mathematics with technology are reviewed and some software and demos are also included. Main talks focus on such topics as graphing calculators,…