This article describes an inquiry-oriented real analysis classroom in which students were guided to discover mathematics for themselves. To support student inquiry, the framework of "five practices" from K-12 education was used. To illustrate this framework, two case examples are given from actual discussions that took place in this…

The research on methods used in graduate mathematics education courses is limited, however existing groundwork suggests that curriculum should provide students with experiences that align with the practices of mathematics education researchers. At the same time, calls to connect mathematics education research and classroom practice have been…

The study investigated the effects of using the problem of the week in teaching (POWT) on teachers' learning and changes in knowledge and teaching skills, in algebraic thinking and algebra tasks, in the setting of a university mathematics education graduate program. The graduate students participated in learning POWT weekly in a mathematics…

The science of biology has been transforming dramatically and so the need for a stronger mathematical background for biology students has increased. Biological students reaching the senior or post-graduate level often come to realize that their mathematical background is insufficient. Similarly, students in a mathematics programme, interested in…

Background: New emerging online technologies have made dynamic changes in the structure of the online environment possible to address varying needs of diverse learners. Purpose: The purpose of this study was to identify the changes that occurred in online instructional design and strategies in mathematics education courses taught over a course of…

This hands-on project uses a paper helicopter to teach students how to distinguish between common and special causes of variability when developing and using statistical process control charts. It allows the student to experience a process that is out-of-control due to imprecise or incomplete product design specifications and to discover how the…

In this article, we outline the findings of a Canadian survey study (N = 302) that focused on the extent of computer algebra systems (CAS)-based technology use in postsecondary mathematics instruction. Results suggest that a considerable number of Canadian mathematicians use CAS in research and teaching. CAS use in research was found to be the…

We have applied the "practical paradigm" in teaching problem solving to secondary school students. The key feature of the practical paradigm is the use of a practical worksheet to guide the students' processes in problem solving. In this paper, we report the diffusion of the practical paradigm to university level courses for prospective…

The aim of this article is to characterize the 2 x 2 matrices "X" satisfying X[superscript 2] = X + I and obtain some new identities concerning with Fibonacci and Lucas numbers. The recommendations regarding the teaching of the identities given in this article can be presented in two cases. The first is related to the pedagogical aspect. The…

Described is a two-semester, first year graduate level course offered at the University of Notre Dame on mathematical methods in chemical engineering. An unusual characteristic of the course is that the lectures are given on transparencies shown by an overhead projector, the students receiving printed copies of the transparencies. (BT)

This paper discusses the problems and general solutions of statistics teaching by summarizing some strategies that have been effective with part-time students in off-campus settings. Included are discussions on: (1) applications of computer skills and student projects; (2) teaching statistical thinking using various modes of presentations and…

I present a theoretical distinction that may prove useful in conceptualizing mathematics teacher education (and graduate education) and research on mathematics teacher education. Further, the distinction can contribute to developing frameworks on the design of mathematics curricula. The distinction between empirical activity and…