Answering a call by the "Common Vision" for instructional material to "establish stronger connections with other disciplines" and "work with professional-level technology tools," the present article shows how various aspects of fitting circles to data fit in existing courses from basic calculus to advanced calculus.

The use of digital teaching materials is increasing in mathematics teaching. The dynamic resources of these materials have great potential, for example to adapt the content to different teaching methods and different students. These materials also provide new opportunities for the increasing distance learning. However, in order to take advantage…

This submission contains the Proceedings of the 2011 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Memorial University of Newfoundland in St. John's, Newfoundland. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning.…

The materials presented in this monograph are intended to be included in a course on ordinary differential equations at the upper division level in a college mathematics program. These materials provide an introduction to the numerical integration of ordinary differential equations, and they can be used to supplement a regular text on this…

This paper summarizes our analysis of the complexity of ratio problems at Grades 6 and 7, and reports a two-year experiment related to the teaching and learning of rational numbers and proportionality in these grades. Two classes were followed and observed. Part of the teaching material was common to both classes, mainly the objectives and the…

Computer Assisted Learning (CAL) is presented as a tool to assist with the teaching and learning of mathematics. Three types of learning are distinguished and the role of CAL within each of these areas is presented. The learning types described are the acquisition of concepts, the learning of relations and rules, and problem solving. Some CAL…

The effectiveness of simulations for teaching statistical concepts was compared to the effectiveness of a textbook. Subjects were 115 college students. Subjects trained by simulation performed significantly better than those trained with a textbook. Results support the increasing use of simulation in education and training. (AEF)

Following a short introduction on the rationale and purpose for using algorithmic structures in the teaching of algebra, two topics from elementary algebra are presented in relation to control structures from computer programing, specifically: the multiplication of polynomials defined in terms of nested loops, and the distributive property…

Four games and documentation in a computer assisted mathematics program (Applesoft Basic) are reviewed. Although the games do not teach mathematical concepts, they do serve to reinforce concepts/skills students already possess. The intended audience is elementary/junior high school students, but the programs could be used for mathematics…

This exploratory study had two goals: (1) to identify signs of abstraction and consolidation of abstractions of functional concepts in students in a situation-based curriculum; and (2) to use theoretical arguments as well as experimental evidence in order to shape notions of abstraction and consolidation of abstractions. The methodology was…

Illustrates where several unexpected patterns of antiderivatives can be realized during calculus instruction via the application of integration by parts to the exploration of particular members of families of functions. (JJK)

This article describes a way in which the computer can be used by students in exploring patterns and solving problems associated with number theory. BASIC programs are described, along with classroom questions and procedures that aid in implementation. (Author/KR)

Describes and illustrates the Monomial Sums Approach, a graphical learning strategy, facilitated by microcomputer capabilities that allow easy manipulation and exploration of graphical representations of polynomial functions. Reduces emphasis on memorized rules in favor of qualitative understanding of functional behavior, visualization of…

The paper describes the use of a spreadsheet in a mathematics teacher education course. It shows how the tool can serve as a link between seemingly disconnected mathematical concepts. The didactical triad of using a spreadsheet as an agent, consumer, and amplifier of mathematical activities allows for an extended investigation of simple yet…

Provides a brief explanation why instruction designed for use with the microcomputer can enhance students' understanding of the concept of function. Presents five lessons designed to help students develop a thorough understanding of functions and their uses, to encourage students to explore and verbalize mathematical ideas, and to assist in the…