This paper reports early work from a project examining the affordances offered by Interactive Whiteboards (IWBs). Here the focus is on the teaching of the definition of quadrilaterals through the use of Cabri Geometre. We discuss the work of two 11-year-old children, who are exploring the kite. The protocol highlights the complexities inherent in…

Illustrates the reasons of formulas on geometric concepts, including length, area, volume, and angles. Provides diagrams of geometric constructions with related formulas. (YP)

Describes a course for teachers of American-Indian students that focuses on the development of culturally relevant activities as part of the science and mathematics curricula. Activities were embedded in a holistic approach to the curriculum and linked the informal science and mathematics of the culture with traditional school science and…

Describes a long term teaching experiment carried out with students from grades 9 and 10. Aims at clarifying the role of the Cabri environment in teaching-learning processes. Analysis of protocols shows the possible evolution of a justification into a proof but at the same time indicates that this evolution is not expected to be simple and…

This article describes the integration of transformational geometry, mathematics, history, art, and cultural studies in a middle-grades mathematics classroom. Its intent is to illustrate how providing students with real-world experiences allows them to see and model mathematics as an integrated whole and make both thoughtful connections between…

In this article, the authors describe how they collaborated to learn how children in their classroom make sense of a mathematical idea. One discusses their new knowledge from the perspective of a large-group discussion, and the other discusses it from the perspective of her small-group investigation. They also discuss how this collaboration has…

The effect of intervening use of molecular visualization software was tested on 73 first-year general chemistry students. Pretests and posttests included both traditional multiple-choice questions and model-building activities. Overall students improved after working with the software, although students performed less well on the model-building…

An interdisciplinary course centered on mathematical ideas (involving infinity and geometry) is described. The course was developed by the authors, both mathematicians, as a vehicle for engaging students in learning about mathematical ideas that are rarely found in the general undergraduate curriculum. The course was offered to honors students…

This article presents teaching ideas designed to support the belief that students at all levels (preservice teachers, majors, secondary and elementary students) need exposure to non-routine problems that illustrate the effective use of technology in their resolution. Such use provides students with rapid and accurate data collection, leading them…

This report provides perspectives from the literature and from consultation with LOGO experts for viewing, evaluating, formalizing, and improving use of the LOGO programming language in education. Contents of the report include: a discussion of the instructional structure of LOGO which centers around its turtle mode, list processing nature, and…

Presents an extended activity consisting of a sequence of tasks organized so that students can visit several mathematical concepts concurrently and explore connections among them. Students build solids using bendable straws to form the skeletons of various polyhedra. Topics covered include tables and charts, algebraic expressions, surface area,…

Discusses the golden ratio and how to make golden triangles using recursive Logo programs. Presents some outputs of the Penrose tile patterns. (YP)

Examined are gender differences across the mathematics curriculum related to various topic areas and mathematical abilities. It was found that boys performed better than girls in geometry and excelled in comprehension, and solving routine and non-routine problems while girls were better at mathematical manipulation problems. (Author/MVL)

When students take their first upper division mathematics course after an introduction to proof course, they are often overwhelmed by the prospect of writing in a mathematics course. In mathematics, unlike other disciplines, students are very seldom asked to respond via writing to a reading assignment, to write an essay about a topic they have…

"Differentiating Instruction With Menus Grades 3-5" offers teachers everything they need to create a student-centered learning environment based on choice. Addressing the four main subject areas (language arts, math, science, and social studies) and the major concepts taught within these areas, these books provide a number of different types of…