This paper explores how four good teachers, who do not have a special interest in technology, meet the challenge of introducing the rapidly developing mathematics analysis software (e.g. spreadsheets, function graphers, symbolic algebra manipulation and dynamic geometry) into their classrooms. These teachers' practice is viewed through the…

In this paper we demonstrate that "lesson study" may be adapted from its primary use as a professional development strategy for use as a research strategy, especially to identify principles of good lesson design. We report on a project undertaken in two Australian secondary schools where lesson study research was used to investigate the…

The use of Computer Algebra Systems (CAS) in years 9 and 10 classrooms as a tool to support learning or in preparation for senior secondary mathematics is controversial. This paper presents an analysis of the positive and negative aspects of using CAS identified in the literature related to these year levels, along with the perceptions of 12…

Pedagogical maps provide a graphic depiction of the way in which teachers exploit the presence of Computer Algebra Systems (CAS) in their classrooms. They can show differences, and can also show growth, as well as personal preferences and reactions to particular teaching assignments. They might also be used for teachers to reflect on their own…

Students who learn mathematics with CAS calculators are likely to develop new practices for doing and recording mathematics. Students discussed in this paper were able to use CAS calculators in examinations, making their own decisions about what to document as written records for solutions to problems. A comparison of some features of written…

Describes the different ways in which two pioneering Australian teachers adapted their teaching to use computer algebra systems (CAS). One teacher used CAS with the primary goal of increasing understanding but restricted student use. The other teacher adopted CAS as an extra technique for solving standard problems, emphasizing time saving routines…

Reports on the responses of students using a computer algebra system (CAS) called DERIVE in an introductory calculus course at undergraduate level. Indicates that the use of this technology was a catalyst for students to use three types of learning strategies: (1) regularly using multiple representations, (2) discussing meaning with peers and…

Reports on a study in which three volunteer teachers helped design and then taught an experimental program of introductory differential calculus in which students had full access to calculators with a computer algebra system (CAS) in the classroom, at home, and during tests. Test scores indicated that the classes had learned similar amounts of…

In his recent article in this journal, John Gough (2004) concludes that the practical results of the considerable academic research undertaken at the University of Melbourne into the uses and impacts of graphics calculators and CAS (computer algebra systems) should be made more widely available in journals for teachers. This short article is…

The purpose of this paper is to provide researchers with a shared framework, terminology and tool to improve the coherence of research into learning mathematics with CAS and to assist its findings to accumulate into a significant body of knowledge. Experience with calculators in arithmetic led to a framework for number sense. There is an obvious…

There are many sources of professional development for K-6 teachers that help them learn how to use computers, but much less is available on how to use computers in classrooms to enhance learning. Members of the Department of Science and Mathematics Education at the University of Melbourne (Australia) have developed CLICK! (Computers and Learning…