Describes two investigations suitable for grades seven and eight that explore the properties of the figure created when the midpoints of an equilateral triangle or square are joined. (MDH)

Presented is the development of school geometry in contemporary Greece since the era in which the secondary education system was established (1836). Identified and interpreted are the reasons for the endurance of Euclid's Elements as the basic component of school geometry in Greece. (KR)

Mathematical fiction writing as a learning tool is discussed utilizing an actual example of a student's fictional text related to the field of geometry. Commentary about this example and how it relates to other areas of mathematics can provide teachers with insight into students' schema for organization and internalization of mathematical…

Describes the use of Margaret Wise Brown's "The Important Book" to involve students in writing about defining qualities and attributes of geometric shapes. (MKR)

A list of potential writing ideas and general guidelines to be used in integrating writing into the mathematics classroom are provided. Ideas under the headings of narrative, descriptive, and expository writing are included. (KR)

Described are ways in which some teachers have used a software package called "The Geometric Supposer." The development of inquiry skills is stressed. Recommendations for students using the Supposer are provided. (CW)

Uses conic sections, trigonometric functions, and polar coordinates to solve the problem of determining the shape of a baseball outfield fence, given the distances along the foul lines and to straightaway center field. Graphing programs and calculators are utilized to plot different solutions. (MDH)

Traditionally, the arts have been absent from Jewish day schools' curricula, and have been relegated to occasional visual art classes, choral music courses, or extra-curricular classes after school hours. Lately, along with a surge of new Jewish day schools, the arts are making their way back into the Judaic study curriculum. In this paper, the…

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…

In this investigation I focused on a process of activities of a particular group of teachers and learners. Basic skills in mastering mathematical concepts were addressed. The focus was on concept formation in the geometry classroom. The methodology involved an educational case study as a form of inquiry to investigate spatial sense. Evidence was…

A two year study investigating the state of pre-service teachers' (PTs') (n=224), teachers' (n=18) and students' knowledge (n=123) of Grade 7 geometry (using the van Hiele theory (1986) and acquisition scales of Gutierrez, Jaime & Fortuny (1991)) is reported. Results indicate that both teachers and PTs fail to reach the expected level of…

There has been much debate in recent years as to the amount and type of mathematical knowledge that teachers need to acquire. One set of recommendations is provided by the Mathematical Education of Teachers (MET) report, produced jointly by the American Mathematical Society and the Mathematical Association of America. This paper reports on efforts…

This document presents activities for use by middle school teachers which show how rational numbers and proportions are present in many real-world situations, including the collection and analysis of fractions, ratios, percents, and proportions, as well as rational number connections with geometry and similarity. The activities are divided into…

A lesson plan for first-grade children beginning to learn English describes an activity using manipulatives and visual aids to develop recognition of three geometric shapes (circle, square, rectangle), their names, and a few additional words in English (e.g., "bag,""table,""door"). Students are grouped at tables of four to six and provided with…

A software tool called 3D-LAB has been developed for learning and teaching three-dimensional geometry. With this microworld, educators and students can display three dimensional solid objects, rotate them, modify them, open them up, draw points and segments, and measure lengths, areas, volumes, and angles. The major characteristics of this tool…