Describes the process of combining two theorems from plane geometry to form the chord-line theorem. In this theorem, the concept of two intersecting chords or extended chords is replaced by a single chord-line. (DDR)

Describes a unit of study focusing on tessellations to show students another view of mathematics. (Author)

Illustrates the varied mathematical reasoning involved when a geometric construction problem is solved with three different manipulative tools. (Author/NB)

Describes the idea of teaching as active learning and defines direction in mathematics teaching as action and perception. Presents an example of a mathematics classroom activity in which students are centered. (KHR)

Results of 6 experiments involving 200 Australian elementary and secondary school students support the hypothesis that negative consequences of the split attention effect in geometry may be ameliorated by presenting geometry statements in auditory rather than visual form. (SLD)

Various modes of reflection are classified and practical examples of devices, such as cat's eyes, are discussed. Typical light rays are traced through several systems, providing exercises with varying degrees of difficulty. Corner-cube retroreflectors, glass spheres, reflecting luminaries, light concentrators, parabolic reflectors, and off-set and…

Presented is an activity designed to help middle school students in their understanding of definitions in geometry. Five definitions involving complex quadrilaterals are discussed. Procedures and expectations for the activity are described. (CW)

In this paper, I examine some issues within the new frontier of integrating technology into teacher education and professional development. I present an approach to teach a secondary mathematics methods course integrating technology. Specifically, this study focuses on how the integration of multimedia and online discussion into a mathematics…

This article discusses how a teacher can prepare the terrain for students to understand what it means to define a figure. Drawing on writings from mathematicians and mathematics educators on the role of definitions in mathematics, the authors argue that students develop a greater appreciation for the conciseness of a mathematical definition if…

Purpose: The purpose of this scientific monograph is to show new and creative approaches to different school subjects in primary and secondary level. Methodology: Interdisciplinary and international comparative approaches were used. Now according to the 7th Framework Program, the preferred form of Science Education (www.scientix.eu) is preferred…

The What Works Clearinghouse (WWC) looked at elementary school math curricula designed to promote math knowledge and skills among elementary school students (average ages 5 to 10 years). Curricula included in this review are replicable, materials-based instructional programs that cover one or more of the following content areas: numbers,…

This book contains a classroom-tested approach to the teaching of problem solving to all students in Grades 4-6, regardless of ability. Information on problem solving in general is provided, then mathematical problems on logic, whole numbers, number theory, fractions, decimals, geometry, ratio, proportion, percent, probability, sets, and…

Geometry and a hand-held calculator are used to find a value of pi accurate to five decimal places. (CP)

Describes the characteristics of the five levels of thinking in the hierarchical sequence postulated by the van Hiele theory, as well as several properties associated with each level of thinking. Also discusses some implications of the theory for the planning of geometry instruction in the classroom. (JN)

Discussed is an approach in which algebra and geometry are interwoven in a series of problems that develop one from another. The two main concepts are the algebraic concept of function and the geometric concept of the "family of quadrilaterals." (MNS)