Advocates of the increasing use of the computer in mathematics teaching and learning claim that certain topics and techniques need no longer be taught. Addresses how far the access to so much computer power should influence the core of mathematics that needs teaching at different levels. (Author/ASK)

Reflects on some aspects of learning mathematics that emerged along the way in creating a turtle-based exploratory tool for non-Euclidean geometry. Contains 14 references. (ASK)

Through numerical investigations, various examples of the Duffing type forced spring equation with epsilon positive, are studied. Since [epsilon] is positive, all solutions to the associated homogeneous equation are periodic and the same is true with the forcing applied. The damped equation exhibits steady state trajectories with the interesting…

The relationship between teachers and Computer Algebra Systems is generally problematic. The extensive capabilities of CAS provide opportunities for learning but also bring a new complexity that makes it difficult for teachers to take advantage of these opportunities. Barzel's paper contrasts with this observation: in a "Lernwerkstatt"…

For over a decade it has been a common observation that a "fog" passes over the course in linear algebra once abstract vector spaces are presented. See [2, 3]. We show how this fog may be cleared by having the students translate "abstract" vector-space problems to isomorphic "concrete" settings, solve the "concrete" problem either by hand or with…

In part 1 of this work we showed how modern mathematical research could, with a suitably chosen problem, be included in the first year curriculum of undergraduate mathematicians. With the use of Computer Algebra Systems, even the average undergraduate mathematician can aspire to discover interesting yet still unexplained behaviour in many areas of…

This study explored the efficacy of web-based workshops in topics in elementary school mathematics in fostering teachers' confidence and competence in using instructional technology, and thereby promoting more positive attitudes toward using computers and Internet resources in the mathematics classroom. It consisted of in-depth interviews of…

This study sought to examine preservice teachers' beliefs about their intent to use educational technology in mathematics classrooms. Also, web-based instruction on topics in elementary school mathematics was used to foster teachers' confidence and competence in using instructional technology, thereby promoting positive attitudes toward use of…

This correlation study examines the relationship between participation in online embedded professional development communities and student achievement gains in a College Algebra course taught by high school teachers to high school students for college credit. The participating teachers met weekly through a web-based meeting format using…

The transition from school to tertiary study of mathematics comes under increasing scrutiny in research. This article reports on some findings from a project analysing the transition from secondary to tertiary education in mathematics. One key variable in this transition is the teacher or lecturer. This article deals with a small part of the data…

Speech technology--especially automatic speech recognition--has now advanced to a level where it can be of great benefit both to able-bodied people and those with various disabilities. In this paper we describe an application "TalkMaths" which, using the output from a commonly-used conventional automatic speech recognition system,…

The advancement of computer technology used for research is creating the need to change the way classes are taught in higher education. "Bringing Research Tools into the Classroom" has become a major focus of the work of the Office of Educational Innovation and Technology (OEIT) for the Dean of Undergraduate Education (DUE) at the…

It is not necessary for students to learn about numbers and number operations before effectively using calculators; rather that such understanding and skill follows naturally from appropriate access to technology. Students using calculators and computers demonstrate improved attitudes toward mathematics, increased confidence in their problem…

In this paper I will present the rationale that motivates the study in an ongoing three-year project following students in school years 8 to 10. The aim is to develop the students' competence with use of ICT tools in mathematics in such a way that they will be able to choose tools for themselves, not rely just on the teacher telling them what to…

In January 2000 a network of discipline-based centers was established for higher education in the UK, including a Mathematics, Statistics & Operational Research (MSOR) Network which will: support and enhance academic practice in teaching MSOR; coordinate networks of MSOR academics; disseminate innovation and good practice in learning, teaching and…