Since teachers always teach area and perimeter together--and they are both introduced soon after the definition of a rectangle--it is not surprising that students mix up the notions of area and perimeter. Changing the investigation on maximising the area of a fixed perimeter from the traditional, but boring, "Sheep pens" to the much more…

Within his classroom, the author is often confronted by students who fail to see, or accept, the relevance of mathematics both to their lives and the world around them. One topic which is regularly perceived as being disconnected from people's daily lives is that of circle theorems, especially among less motivated students. In this article, the…

Mentoring is an effective method of helping inexperienced individuals develop and progress in their profession. Extension staff have many opportunities to mentor volunteers and other community partners. The keys to establishing a successful mentoring relationship include creating a relationship of trust, clearly defining roles and…

The problem of youth violence has become a national priority given both the cost and repercussions to youth, to the school systems, and to society. Over the past two decades there has been increasing research examining gender differences in the expression of aggression. This research has suggested that boys typically display their aggression…

When teaching mathematics with technology, the author does so in the belief that technology enables students to experience mathematical ideas in a way that might not otherwise be possible. However, teachers must be careful: Sometimes technology does not produce results in the way that they or their students expect. Rather than allowing unexpected…

Individual creativity is ubiquitous. New technologies both enable and urge fresh approaches to creativity in the context of education. University-level education offers a natural place to adjust pedagogical structures in favor of a more individual approach to learning that organizes the intellectual community into new patters of interaction and…

To help fifth- through eighth-grade students develop their deductive reasoning skills, the author used a ten-week supplementary curriculum so that students could answer logic questions. The curriculum, a series of lessons built around language-independent logic puzzles, has been used in classrooms of fifth through eighth grades. In most cases,…

The author introduces the birthday problem in this article. This can amuse willing members of any birthday party. This problem can also be used as the motivational first day lecture in number theory for the gifted students in high schools or in community colleges or in undergraduate classes in colleges.

The "What's the "matter" With XOD" activity addresses students' misconceptions and refines their ideas about phases of matter. This activity introduces the characteristics for solids, liquids, and gases, and begins a discussion about physical and chemical changes and how matter can cycle through different phases. Depending on class size and…

In this article we discuss an open-ended problem involving quadrilaterals that we continually offer each semester. The task has been posed to undergraduate and graduate students in methods and problem solving classes. The task involves drawing all possible four sided figures with corners at the dots. A four by four array of dots is included in the…

This brief report describes a cooperative classroom art therapy intervention in a public elementary school that provided conflict resolution education, social learning, and group cohesion among sixth-grade students. The organizing framework of a "circle justice" group explored the roles of fictional characters in conflict, including…

This paper proposes a compensative model for self-regulated learning in technology education (SRLT) comprised of cognitive, metacognitive and motivational domains. Discussion of the cognitive domain centers on problem-solving and creativity, with a focus on the need to engage students in open-ended assignments in informal contexts and to teach…

The authors describe how to structure a memo format for homework assignments in which a manager requests analysis of a particular issue from the student. The student must respond with a memo stating a recommendation and describing the solution approach. The results from using the memo format include improved student performance and professional…

Robotic toys present unique opportunities for teachers of young children to integrate mathematics learning with engaging problem-solving tasks. This article describes a series of tasks using Bee-bots and Pro-bots, developed as part a larger project examining young children's use of robotic toys as tools in developing mathematical and metacognitive…

This practical teachers' guide will help you to unlock the enormous potential of new technology in order to enhance pupils' learning, particularly for young people with additional needs. Written by two of the UK's leading technology experts, this new resource will enable you to use ICT effectively to make lessons more accessible, motivating and…