Almost all finite groups encountered by undergraduates can be represented as multiplicative groups of concise block-diagonal binary matrices. Such representations provide simple examples for beginning a group theory course. More importantly, these representations provide concrete models for "abstract" concepts. We describe Maple lab…

In the context of rapid technological changes and modernization of society, the issue of ensuring adequacy of content in secondary education based on the use of advanced information technologies (ICT) is being updated. The necessity of an appropriate level of primary intellectual activity development in a person in terms of the current trends in…

Students' grasp of the non-mathematical language in a mathematics story problem--such as vocabulary and syntax--may have an important effect on their problem-solving, and this may be particularly true for students with weaker language skills. However, little experimental research has examined which individual language features influence students'…

Technology-enhanced mathematics tasks were introduced to elementary pre-service candidates (n = 84) and in-service teachers (n = 38), who then, either in partners or small groups, created and taught inquiry-based lessons incorporating technology, with individual reflections. The lessons were coded using the following criteria: (a) The students…

Technology is increasingly used to aid the teaching of statistics. Personal Response Systems (PRS) involve equipping students with a handset allowing them to send responses to questions put to them by a lecturer. PRS allows lectures to be more interactive and can help reinforce material. It can also allow the lecturer to monitor students'…

This comparative study examined discourse and opportunities for interaction in two mathematics education methods classes, one face-to-face and one synchronous, online. Due to the content taught in the course, this study also sought to determine prospective mathematics teachers' understanding of variability and the role of discourse in each…

A collaborative, statistics education research project (Lovett, 2001) is discussed. Some results of the project were applied in the computer lab sessions of my elementary statistics course. I detail the process of applying these research results, as well as the use of knowledge surveys. Furthermore, I give general suggestions to teachers who want…

A series of computer tutorials provide opportunities for education students in an elementary-mathematics-methods course to explore a topic in depth. Tutorials cover content discussed in class and offer classroom situations for student response and reflection. At the end of each tutorial, students have a choice of assignments to complete in…

Discusses the use of computers in elementary and secondary school mathematics instruction. Topics addressed include the use of computers in compiling student portfolios; a model shift regarding assessment, mathematics instruction, and computers; computer software programs; and new approaches to teaching, including cooperative learning, multigrade…

This paper discusses some of the issues involved and lessons learned in including a formal computer laboratory component in a freshman mathematics course for business administration students at Monmouth University (New Jersey), focusing on both the technical and the pedagogical aspects of the component of the course. The concept is modeled after…